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| author | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-03-04 21:21:30 -0500 |
|---|---|---|
| committer | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-03-04 21:21:30 -0500 |
| commit | d54fe7c1f704a63824c5bfa0ece65245572e9b27 (patch) | |
| tree | afc52015ffc2c74e0266653eecef1c8ef8ba5d91 /src/slalib/sun67.htx/images.pl | |
| download | calfuse-d54fe7c1f704a63824c5bfa0ece65245572e9b27.tar.gz | |
Initial commit
Diffstat (limited to 'src/slalib/sun67.htx/images.pl')
| -rw-r--r-- | src/slalib/sun67.htx/images.pl | 1686 |
1 files changed, 1686 insertions, 0 deletions
diff --git a/src/slalib/sun67.htx/images.pl b/src/slalib/sun67.htx/images.pl new file mode 100644 index 0000000..498f422 --- /dev/null +++ b/src/slalib/sun67.htx/images.pl @@ -0,0 +1,1686 @@ +# LaTeX2HTML 97.1 (release) (July 13th, 1997) +# Associate images original text with physical files. + + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.74{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img294.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.74$">|; + +$key = q/{_inline}cosdeltaE{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img249.gif" + ALT="$\cos \delta E$">|; + +$key = q/{_inline}0^rmshspace-0.3em.03{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="32" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img96.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.03$">|; + +$key = q/{_inline}0leqx<1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="72" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img145.gif" + ALT="$0 \leq x < 1$">|; + +$key = q/{_inline}zeta=80^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img208.gif" + ALT="$\zeta=80^\circ$">|; + +$key = q/{_inline}-75^circ,59^',27^''.2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="102" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img288.gif" + ALT="$-75^{\circ}\,59^{'}\,27^{''}.2$">|; + +$key = q/{_inline}150hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img197.gif" + ALT="$150\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}2hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img78.gif" + ALT="$2\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$">|; + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img189.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$">|; + +$key = q/{displaymath}zeta_vacapproxzeta_obs+Atanzeta_obs+Btan^3zeta_obs{displaymath}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="255" HEIGHT="27" + SRC="img302.gif" + ALT="\begin{displaymath} +\zeta _{vac} \approx \zeta _{obs} + + A \tan \zeta _{obs} + + B \tan ^{3}\zeta _{obs} \end{displaymath}">|; + +$key = q/{_inline}1000times20{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="72" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img330.gif" + ALT="$1000\times20$">|; + +$key = q/{_inline}times3602pi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img9.gif" + ALT="$\times 360/2\pi$">|; + +$key = q/{_inline}21hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img218.gif" + ALT="$21\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}12^h,07^m,58^s.09{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="104" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img262.gif" + ALT="$12^{h}\,07^{m}\,58^{s}.09$">|; + +$key = q/{_inline}81^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img186.gif" + ALT="$81^\circ$">|; + +$key = q/{_inline}omega{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img101.gif" + ALT="$\omega$">|; + +$key = q/{_inline}30^rmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="30" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img87.gif" + ALT="$30^{\rm m}$">|; + +$key = q/{_inline}89^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img200.gif" + ALT="$89^\circ$">|; + +$key = q/{displaymath}zeta_obsapproxzeta_vac-fracAtanzeta_vac+Btan^3zeta_vac1+(A+3Btan^2zeta_vac)sec^2zeta_vac{displaymath}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="313" HEIGHT="45" + SRC="img306.gif" + ALT="\begin{displaymath} +\zeta _{obs} \approx \zeta _{vac} + - \frac{A \tan \zeta _{va... + ... + {1 + ( A + 3 B \tan ^{2}\zeta _{vac} ) \sec ^{2}\zeta _{vac}}\end{displaymath}">|; + +$key = q/{_inline}1^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="18" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img318.gif" + ALT="$1^\circ$">|; + +$key = q/{_inline}=Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="78" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img300.gif" + ALT="$=\Delta\psi\cos\epsilon$">|; + +$key = q/{_inline}(3times3){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="51" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img259.gif" + ALT="$(3\times3)$">|; + +$key = q/{_inline}epsilon{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="9" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img257.gif" + ALT="$\epsilon$">|; + +$key = q/{_inline}290^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img37.gif" + ALT="$290^\circ$">|; + +$key = q/{_inline}+1^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="30" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img236.gif" + ALT="$+1^{\circ}$">|; + +$key = q/{_inline}20,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="45" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img42.gif" + ALT="$20\,\mu{\rm m}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img137.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$">|; + +$key = q/{_inline}7hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img217.gif" + ALT="$7\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$">|; + +$key = q/{_inline}C_3!=!-10.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="79" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img327.gif" + ALT="$C_3\!=\!-10.0$">|; + +$key = q/{_inline}~sinalpha+({_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="70" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img279.gif" + ALT="$~\sin \alpha + + ($">|; + +$key = q/{_inline}xi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="10" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img92.gif" + ALT="$\xi$">|; + +$key = q/{_inline}1100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img202.gif" + ALT="$1100\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}[lambda,phi]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img46.gif" + ALT="$[\lambda,\phi]$">|; + +$key = q/{_inline}30hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img82.gif" + ALT="$30\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}1.0027379cdots{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="94" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img120.gif" + ALT="$1.0027379\cdots$">|; + +$key = q/{_inline}90^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img22.gif" + ALT="$90^{\circ}$">|; + +$key = q/{_inline}14hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img126.gif" + ALT="$14\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}rho=r(1+cr^2){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="103" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img128.gif" + ALT="$\rho = r (1 + c r^{2})$">|; + +$key = q/{_inline}pmn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img123.gif" + ALT="$\pm n$">|; + +$key = q/{_inline}bfD{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img240.gif" + ALT="${\bf D}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.24{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img81.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.24$">|; + +$key = q/{_inline}0^rmshspace-0.3em.015869{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="65" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img267.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.015869$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.43549{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img277.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.43549$">|; + +$key = q/{_inline}[,Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="99" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img239.gif" + ALT="$[\,\Delta x,\Delta y, \Delta z\,]$">|; + +$key = q/{_inline}86hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img136.gif" + ALT="$86\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}(0leqe<1){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="83" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img106.gif" + ALT="$( 0 \leq e < 1 )$">|; + +$key = q/{_inline}0^rmh{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="18" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img49.gif" + ALT="$0^{\rm h}$">|; + +$key = q/{_inline}~cosalpha-{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="58" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img273.gif" + ALT="$~\cos \alpha + -$">|; + +$key = q/{_inline}[theta,phi,dottheta,dotphi]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="69" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img252.gif" + ALT="$[\theta,\phi,\dot{\theta},\dot{\phi}]$">|; + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img178.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0$">|; + +$key = q/{_inline}nu=rho_wrho_s{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img181.gif" + ALT="$\nu=\rho_w/\rho_s$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img32.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$">|; + +$key = q/{_inline}varpi=Omega+omega{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="81" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img321.gif" + ALT="$\varpi = \Omega + \omega$">|; + +$key = q/{_inline}6hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img216.gif" + ALT="$6\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$">|; + +$key = q/{_inline}mu_delta,=+{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img276.gif" + ALT="$\mu_\delta\,=+$">|; + +$key = q/{_inline}920hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img124.gif" + ALT="$920\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}b^I!I=0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="51" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img223.gif" + ALT="$b^{I\!I}=0$">|; + +$key = q/{_inline}x'=x_1+rmXZ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="96" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img57.gif" + ALT="$x' = x_{1} + {\rm XZ}$">|; + +$key = q/{_inline}mu_alpha={_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="38" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img289.gif" + ALT="$\mu_\alpha=$">|; + +$key = q/{_inline}rmbfr_0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img102.gif" + ALT="${\rm \bf r}_0$">|; + +$key = q/{_inline}zeta_vac{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="29" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img303.gif" + ALT="$\zeta _{vac}$">|; + +$key = q/{_inline}86^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img194.gif" + ALT="$86^\circ$">|; + +$key = q/{_inline}y'''=+x''sinrmPERP2+y''cosrmPERP2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="286" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img62.gif" + ALT="$y''' = + x'' \sin {\rm PERP}/2 + y'' \cos {\rm PERP}/2$">|; + +$key = q/{_inline}C_2!=!-2.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="71" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img326.gif" + ALT="$C_2\!=\!-2.0$">|; + +$key = q/{_inline}0.0065^circm^-1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="86" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img38.gif" + ALT="$0.0065^\circ m^{-1}$">|; + +$key = q/{_inline}alpha=18^rmh,delta=+30^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="132" HEIGHT="33" ALIGN="MIDDLE" BORDER="0" + SRC="img225.gif" + ALT="$\alpha=18^{\rm h},\delta=+30^{\circ}$">|; + +$key = q/{_inline}[mu_alpha,mu_delta]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="54" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img264.gif" + ALT="$[\mu_\alpha,\mu_\delta]$">|; + +$key = q/{_inline}5^rmh,25^rmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="49" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img320.gif" + ALT="$5^{\rm h}\,25^{\rm m}$">|; + +$key = q/{figure}centertabular|cccccc|hline&&&&&hspace5em&hspace5em&hspace5em&hspace5em&halloftheprecessionandE-termscorrectionsaresuperfluous.{figure}MSF=1.5;FSF=1;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="450" HEIGHT="642" + SRC="img255.gif" + ALT="\begin{figure} +\begin{center} +\begin{tabular} +{\vert cccccc\vert} \hline +& & & &... + ...2000, all of the precession and E-terms corrections +are superfluous.\end{figure}">|; + +$key = q/{_inline}~sinalpha-{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="26" ALIGN="MIDDLE" BORDER="0" + SRC="img281.gif" + ALT="$~\sin \alpha + -$">|; + +$key = q/{_inline}equiv123{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img67.gif" + ALT="$\equiv123$">|; + +$key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.7{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img77.gif" + ALT="$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.7$">|; + +$key = q/{_inline}12^circ,34^',56^''.7{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="90" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img4.gif" + ALT="$12^{\circ}\,34^{'}\,56^{''}.7$">|; + +$key = q/{_inline}y'=y_1+rmYZ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="94" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img58.gif" + ALT="$y' = y_{1} + {\rm YZ}$">|; + +$key = q/{_inline}+0hspace-0.05em^'hspace-0.1em'hspace-0.4em.103{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="52" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img292.gif" + ALT="$+0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.103$">|; + +$key = q/{_inline}=93^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img177.gif" + ALT="$=93^\circ$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.0001{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="47" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img258.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0001$">|; + +$key = q/{_inline}[x_e,y_e,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="52" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img114.gif" + ALT="$[x_{e},y_{e}\,]$">|; + +$key = q/{_inline}[,0,,1,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img121.gif" + ALT="$[\,0,\,1\,]$">|; + +$key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img265.gif" + ALT="$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$">|; + +$key = q/{_inline}theta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img298.gif" + ALT="$\theta$">|; + +$key = q/{_inline}zeta<80^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img157.gif" + ALT="$\zeta<80^{\circ}$">|; + +$key = q/{_inline}0^rmshspace-0.3em.000340{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="65" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img270.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.000340$">|; + +$key = q/{_inline}deltaEcosE{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="64" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img247.gif" + ALT="$\delta E \cos E$">|; + +$key = q/{_inline}[x_m,y_m,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="63" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img113.gif" + ALT="$[x_{m},y_{m}\,]$">|; + +$key = q/{_inline}-0hspace-0.05em^'hspace-0.1em'hspace-0.4em.06{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="44" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img305.gif" + ALT="$-0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.06$">|; + +$key = q/{_inline}340hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img199.gif" + ALT="$340\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}l^I!I,b^I!I{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="45" HEIGHT="32" ALIGN="MIDDLE" BORDER="0" + SRC="img254.gif" + ALT="$l^{I\!I},b^{I\!I}$">|; + +$key = q/{_inline}20^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img296.gif" + ALT="$20^\circ$">|; + +$key = q/{_inline}_j)]cdot({_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="38" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img231.gif" + ALT="$_{j})] + \cdot ($">|; + +$key = q/{_inline}times{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="15" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img84.gif" + ALT="$\times$">|; + +$key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.49552{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="64" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img110.gif" + ALT="$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.49552$">|; + +$key = q/{_inline}tan^3zeta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="44" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img152.gif" + ALT="$\tan^{3} \zeta$">|; + +$key = q/{_inline}E=90^circ-zeta_true{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="113" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img211.gif" + ALT="$E=90^\circ-\zeta_{true}$">|; + +$key = q/{_inline}83^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img190.gif" + ALT="$83^\circ$">|; + +$key = q/{_inline}0^rmshspace-0.3em.9{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img31.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.9$">|; + +$key = q/{_inline}(0leqeleq10){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img107.gif" + ALT="$( 0 \leq e \leq 10 )$">|; + +$key = q/{_inline}17hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img133.gif" + ALT="$17\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}0.4,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="50" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img35.gif" + ALT="$0.4\,\mu{\rm m}$">|; + +$key = q/{_inline}3^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img27.gif" + ALT="$3^{\circ}$">|; + +$key = q/{_inline}20^rms{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="24" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img86.gif" + ALT="$20^{\rm s}$">|; + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img140.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}zeta=70^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img183.gif" + ALT="$\zeta=70^\circ$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.001{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="39" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img112.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.001$">|; + +$key = q/{_inline}DeltarmT{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="28" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img315.gif" + ALT="$\Delta {\rm T}$">|; + +$key = q/{_inline}pm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="15" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img30.gif" + ALT="$\pm$">|; + +$key = q/{_inline}C_1!=!+50.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="79" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img325.gif" + ALT="$C_1\!=\!+50.0$">|; + +$key = q/{_inline}l^I!I=90^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="64" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img222.gif" + ALT="$l^{I\!I}=90^{\circ}$">|; + +$key = q/{_inline}50^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img163.gif" + ALT="$50^\circ$">|; + +$key = q/{_inline}[,theta,phi~]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="45" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img238.gif" + ALT="$[\,\theta,\phi~]$">|; + +$key = q/{_inline}x!pm!n{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="36" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img69.gif" + ALT="$x\!\pm\!n$">|; + +$key = q/{_inline}mu_delta={_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="36" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img291.gif" + ALT="$\mu_\delta=$">|; + +$key = q/{_inline}3times3{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="39" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img18.gif" + ALT="$3\times3$">|; + +$key = q/{_inline}50hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img261.gif" + ALT="$50\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}1.0,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="50" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img40.gif" + ALT="$1.0\,\mu{\rm m}$">|; + +$key = q/{_inline}92^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img205.gif" + ALT="$92^\circ$">|; + +$key = q/{_inline}18hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img79.gif" + ALT="$18\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}0.7,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="50" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img34.gif" + ALT="$0.7\,\mu{\rm m}$">|; + +$key = q/{_inline}timesn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img226.gif" + ALT="$\times n$">|; + +$key = q/{_inline}rmMJD=(rmJD-2400000.5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="177" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img138.gif" + ALT="${\rm MJD} = ({\rm JD} - 2400000.5$">|; + +$key = q/{_inline}0^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img301.gif" + ALT="$0^{\circ} + \hspace{-0.37em}.\hspace{0.02em}5$">|; + +$key = q/{_inline}tan^-14{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="54" HEIGHT="16" ALIGN="BOTTOM" BORDER="0" + SRC="img155.gif" + ALT="$\tan^{-1} 4$">|; + +$key = q/{_inline}0^rmshspace-0.3em.01{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="32" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img97.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.01$">|; + +$key = q/{_inline}100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img141.gif" + ALT="$100\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}2hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img316.gif" + ALT="$2\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}[,xi,eta,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img85.gif" + ALT="$[\,\xi,\eta\,]$">|; + +$key = q/{_inline}00^h,00^m,00^s.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="96" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img309.gif" + ALT="$00^{h}\,00^{m}\,00^{s}.0$">|; + +$key = q/{_inline}0!-!pi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="35" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img234.gif" + ALT="$0\!-\!\pi$">|; + +$key = q/{_inline}280^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img167.gif" + ALT="$280^\circ$">|; + +$key = q/{_inline}beta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="12" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img173.gif" + ALT="$\beta$">|; + +$key = q/{_inline}0^rmshspace-0.3em.000083{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="65" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img274.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.000083$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00510{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img278.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00510$">|; + +$key = q/{_inline}zeta=87^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img8.gif" + ALT="$\zeta = 87^{\circ}$">|; + +$key = q/{_inline}90^circ-delta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="54" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img297.gif" + ALT="$90^\circ-\delta$">|; + +$key = q/{_inline}2murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="34" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img168.gif" + ALT="$2\mu{\rm m}$">|; + +$key = q/{_inline}<bfV1+bfD>{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="95" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img243.gif" + ALT="$<{\bf V1}+{\bf D}\gt$">|; + +$key = q/{_inline}5hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img215.gif" + ALT="$5\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$">|; + +$key = q/{_inline}25^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img162.gif" + ALT="$25^\circ$">|; + +$key = q/{_inline}80^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img179.gif" + ALT="$80^\circ$">|; + +$key = q/{_inline}pmpi2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img15.gif" + ALT="$\pm\pi/2$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.01{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img158.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.01$">|; + +$key = q/{_inline}rho{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="11" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img129.gif" + ALT="$\rho$">|; + +$key = q/{_inline}152pi=2.3873241463784300365{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="235" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img7.gif" + ALT="$15/{2\pi} = 2.3873241463784300365$">|; + +$key = q/{_inline}2pi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="20" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img52.gif" + ALT="$2\pi$">|; + +$key = q/{_inline}43hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img219.gif" + ALT="$43\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}sim20{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="36" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img324.gif" + ALT="$\sim20$">|; + +$key = q/{_inline}[,alpha,delta,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img3.gif" + ALT="$[\,\alpha,\delta\,]$">|; + +$key = q/{_inline}dotalpha{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img115.gif" + ALT="$\dot{\alpha}$">|; + +$key = q/{_inline}0^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img1.gif" + ALT="$0^{\circ}$">|; + +$key = q/{_inline}88^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img198.gif" + ALT="$88^\circ$">|; + +$key = q/{_inline}bfV1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img241.gif" + ALT="${\bf V1}$">|; + +$key = q/{_inline}tan^-11{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="54" HEIGHT="16" ALIGN="BOTTOM" BORDER="0" + SRC="img153.gif" + ALT="$\tan^{-1} 1$">|; + +$key = q/{_inline}0^circhspace-0.37em.hspace0.02em2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img260.gif" + ALT="$0^{\circ} + \hspace{-0.37em}.\hspace{0.02em}2$">|; + +$key = q/{_inline}-19^circ,44^',37^''.1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="102" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img263.gif" + ALT="$-19^{\circ}\,44^{'}\,37^{''}.1$">|; + +$key = q/{_inline}cdot~[diag(1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="71" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img230.gif" + ALT="$\cdot~[diag(1/$">|; + +$key = q/{_inline}alpha=0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img89.gif" + ALT="$\alpha=0$">|; + +$key = q/{_inline}~cosalpha)sindelta-{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="98" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img271.gif" + ALT="$~\cos \alpha ) \sin \delta + -$">|; + +$key = q/{_inline}zeta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="11" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img149.gif" + ALT="$\zeta$">|; + +$key = q/{_inline}3hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img75.gif" + ALT="$3\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}tanzeta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="37" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img151.gif" + ALT="$\tan \zeta$">|; + +$key = q/{_inline}0^rmshspace-0.3em.000105{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="65" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img272.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.000105$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.4{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img185.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.4$">|; + +$key = q/{_inline}~sinalpha)secdelta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="84" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img275.gif" + ALT="$~\sin \alpha ) \sec \delta $">|; + +$key = q/{_inline}-1^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="30" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img2.gif" + ALT="$-1^{\circ}$">|; + +$key = q/{_inline}times10^-5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img93.gif" + ALT="$\times10^{-5}$">|; + +$key = q/{_inline}C_4!=!+25.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="79" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img328.gif" + ALT="$C_4\!=\!+25.0$">|; + +$key = q/{_inline}60hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img304.gif" + ALT="$60\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}76^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img33.gif" + ALT="$76^\circ$">|; + +$key = q/{_inline}x'''=+x''cosrmPERP2+y''sinrmPERP2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="287" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img61.gif" + ALT="$x''' = + x'' \cos {\rm PERP}/2 + y'' \sin {\rm PERP}/2$">|; + +$key = q/{_inline}deltaE{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img245.gif" + ALT="$\delta E$">|; + +$key = q/{_inline}times2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img16.gif" + ALT="$\times 2 / $">|; + +$key = q/{_inline}zeta_obs{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="28" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img184.gif" + ALT="$\zeta_{obs}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img25.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$">|; + +$key = q/{_inline}4hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img130.gif" + ALT="$4\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}0^rmshspace-0.3em.0016{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img312.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.0016$">|; + +$key = q/{_inline}zeta=84^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img207.gif" + ALT="$\zeta=84^\circ$">|; + +$key = q/{_inline}100mum{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="51" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img307.gif" + ALT="$100\mu m$">|; + +$key = q/{_inline}sigma=5.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="55" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img329.gif" + ALT="$\sigma=5.0$">|; + +$key = q/{_inline}circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img5.gif" + ALT="${\circ}$">|; + +$key = q/{_inline}[x_1,y_1,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img55.gif" + ALT="$[x_{1},y_{1}\,]$">|; + +$key = q/{_inline}L=varpi+M{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="87" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img322.gif" + ALT="$L = \varpi + M$">|; + +$key = q/{_inline}16^h,09^m,55^s.13{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="104" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img286.gif" + ALT="$16^{h}\,09^{m}\,55^{s}.13$">|; + +$key = q/{_inline}times(2pi86400)^2times(3602pi){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="186" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img12.gif" + ALT="$\times (2\pi/86400)^2 \times (360/2\pi)$">|; + +$key = q/{_inline}xi,eta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img90.gif" + ALT="$\xi,\eta$">|; + +$key = q/{_inline}Deltazeta=atanzeta+btan^3zeta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="164" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img148.gif" + ALT="$\Delta \zeta = a \tan \zeta + b \tan^{3} \zeta$">|; + +$key = q/{_inline}23^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img256.gif" + ALT="$23^{\circ} + \hspace{-0.37em}.\hspace{0.02em}5$">|; + +$key = q/{_inline}rightarrow{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img10.gif" + ALT="$\rightarrow$">|; + +$key = q/{_inline}pmn.nxpmn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="78" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img68.gif" + ALT="$\pm n.n x \pm n$">|; + +$key = q/{_inline}cdot{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="7" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img72.gif" + ALT="$\cdot$">|; + +$key = q/{_inline}85^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img193.gif" + ALT="$85^\circ$">|; + +$key = q/{_inline}45hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img195.gif" + ALT="$45\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}pm3{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img147.gif" + ALT="$\pm3$">|; + +$key = q/{_inline}0^rmshspace-0.3em.0013{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img313.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.0013$">|; + +$key = q/{_inline}zeta<70^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img26.gif" + ALT="$\zeta<70^{\circ}$">|; + +$key = q/{_inline}tan^5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="16" ALIGN="BOTTOM" BORDER="0" + SRC="img171.gif" + ALT="$\tan^5$">|; + +$key = q/{_inline}5hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img131.gif" + ALT="$5\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}~sinalpha+{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="26" ALIGN="MIDDLE" BORDER="0" + SRC="img269.gif" + ALT="$~\sin \alpha + +$">|; + +$key = q/{_inline}620hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img201.gif" + ALT="$620\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}ntimesn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="42" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img73.gif" + ALT="$n \times n$">|; + +$key = q/{_inline}Deltazeta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="24" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img150.gif" + ALT="$\Delta \zeta$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00125{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img282.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00125$">|; + +$key = q/{_inline}10^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img117.gif" + ALT="$10^{\circ}$">|; + +$key = q/{_inline}varpi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img100.gif" + ALT="$\varpi$">|; + +$key = q/{_inline}lambda,beta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="29" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img253.gif" + ALT="$\lambda,\beta$">|; + +$key = q/{_inline}0.3,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="50" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img41.gif" + ALT="$0.3\,\mu{\rm m}$">|; + +$key = q/{_inline}pm100{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="39" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img317.gif" + ALT="$\pm100$">|; + +$key = q/{_inline}1900hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img204.gif" + ALT="$1900\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}times10^-10{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="55" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img94.gif" + ALT="$\times10^{-10}$">|; + +$key = q/{_inline}M_odot=1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="59" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img323.gif" + ALT="$M_\odot = 1$">|; + +$key = q/{_inline}Deltaalpha{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img118.gif" + ALT="$\Delta\alpha$">|; + +$key = q/{displaymath}Deltazeta=Fleft(frac0^circhspace-0.37em.hspace0.02em55445-0^circhsp-0.37em.hspace0.02em00202E^21+0.28385E+0.02390E^2right){displaymath}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="321" HEIGHT="49" + SRC="img210.gif" + ALT="\begin{displaymath} +\Delta \zeta = F \left( + \frac{0^\circ\hspace{-0.37em}.\hspa... + ...hspace{0.02em}00202 E^2} + {1 + 0.28385 E +0.02390 E^2} \right) \end{displaymath}">|; + +$key = q/{_inline}times(2pi86400)times(3602pi){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="178" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img11.gif" + ALT="$\times (2\pi/86400) \times (360/2\pi)$">|; + +$key = q/{_inline}zeta<45^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img160.gif" + ALT="$\zeta<45^{\circ}$">|; + +$key = q/{_inline}[,Az,El~]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="66" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img28.gif" + ALT="$[\,Az,El~]$">|; + +$key = q/{_inline}6hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img132.gif" + ALT="$6\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}^Tcdot{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img70.gif" + ALT="$^{T}\cdot$">|; + +$key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img213.gif" + ALT="$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$">|; + +$key = q/{_inline}[x_p,y_p,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img144.gif" + ALT="$[x_{p},y_{p}\,]$">|; + +$key = q/{_inline}[x_2,y_2,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img56.gif" + ALT="$[x_{2},y_{2}\,]$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00158{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img280.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00158$">|; + +$key = q/{_inline}x_2=+x'''cosrmORIENT+y'''sinrmORIENT{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="298" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img63.gif" + ALT="$x_{2} = + x''' \cos {\rm ORIENT} + + y''' \sin {\rm ORIENT}$">|; + +$key = q/{_inline}61^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img235.gif" + ALT="$61^\circ$">|; + +$key = q/{_inline}y_2=-x'''sinrmORIENT+y'''cosrmORIENT{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="297" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img64.gif" + ALT="$y_{2} = - x''' \sin {\rm ORIENT} + + y''' \cos {\rm ORIENT}$">|; + +$key = q/{_inline}82^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img188.gif" + ALT="$82^\circ$">|; + +$key = q/{_inline}0!-!2pi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img66.gif" + ALT="$0\!-\!2\pi$">|; + +$key = q/{_inline}71hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img134.gif" + ALT="$71\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.05{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img175.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.05$">|; + +$key = q/{_inline}sqrt1-left|mboxbfvright|^2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="72" HEIGHT="45" ALIGN="MIDDLE" BORDER="0" + SRC="img17.gif" + ALT="$\sqrt{1-\left\vert\mbox{\bf v}\right\vert^2}$">|; + +$key = q/{_inline}murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img21.gif" + ALT="$\mu{\rm m}$">|; + +$key = q/{_inline}alpha,deltarightarrowlambda,beta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="81" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img95.gif" + ALT="$\alpha,\delta\rightarrow\lambda,\beta$">|; + +$key = q/{displaymath}h=theta-alpha{displaymath}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="70" HEIGHT="25" + SRC="img299.gif" + ALT="\begin{displaymath} +h = \theta - \alpha \end{displaymath}">|; + +$key = q/{_inline}2^circhspace-0.37em.hspace0.02em4{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img232.gif" + ALT="$2^{\circ} + \hspace{-0.37em}.\hspace{0.02em}4$">|; + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.85{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img125.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.85$">|; + +$key = q/{_inline}+pi2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img14.gif" + ALT="$+\pi/2$">|; + +$key = q/{_inline}sim!76^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="40" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img161.gif" + ALT="$\sim\!76^\circ$">|; + +$key = q/{_inline}[,x,y,z,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="106" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img51.gif" + ALT="$[\,x,y,z,\dot{x},\dot{y},\dot{z}\,]$">|; + +$key = q/{_inline}6.5^circKkm^-1{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="86" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img169.gif" + ALT="$6.5^\circ K km^{-1}$">|; + +$key = q/{_inline}270^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img139.gif" + ALT="$270^\circ$">|; + +$key = q/{_inline}7hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img192.gif" + ALT="$7\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}tandeltaEapproxdeltaE{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="92" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img246.gif" + ALT="${\tan \delta E\approx\delta E}$">|; + +$key = q/{_inline}cdots{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="21" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img48.gif" + ALT="$\cdots$">|; + +$key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img212.gif" + ALT="$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img187.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$">|; + +$key = q/{_inline}(1-deltaE^22){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="88" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" + SRC="img250.gif" + ALT="$(1-\delta E^2 /2)$">|; + +$key = q/{_inline}mu{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="12" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img146.gif" + ALT="$\mu$">|; + +$key = q/{_inline}15^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img39.gif" + ALT="$15^\circ$">|; + +$key = q/{_inline}[Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="96" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img109.gif" + ALT="$[\Delta x, \Delta y, \Delta z\,]$">|; + +$key = q/{_inline}70^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img174.gif" + ALT="$70^\circ$">|; + +$key = q/{_inline}DeltarmT=rmET-rmUT{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="117" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img314.gif" + ALT="$\Delta {\rm T} = {\rm ET} - {\rm UT}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.02{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img295.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.02$">|; + +$key = q/{_inline}91^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img203.gif" + ALT="$91^\circ$">|; + +$key = q/{_inline}Delta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="16" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img19.gif" + ALT="$\Delta$">|; + +$key = q/{_inline}l^I!I=53^circ,b^I!I=+25^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="148" HEIGHT="32" ALIGN="MIDDLE" BORDER="0" + SRC="img224.gif" + ALT="$l^{I\!I}=53^{\circ},b^{I\!I}=+25^{\circ}$">|; + +$key = q/{_inline}y''=y'rmYS{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="74" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img60.gif" + ALT="$y'' = y' {\rm YS}$">|; + +$key = q/{_inline}bfV2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img242.gif" + ALT="${\bf V2}$">|; + +$key = q/{_inline}[,0,2pi,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="50" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img13.gif" + ALT="$[\,0,2\pi\,]$">|; + +$key = q/{_inline}mgeqn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img227.gif" + ALT="$m \geq n$">|; + +$key = q/{_inline}360^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="34" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img53.gif" + ALT="$360^{\circ}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img83.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$">|; + +$key = q/{_inline}alpha,delta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="28" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img91.gif" + ALT="$\alpha,\delta$">|; + +$key = q/{_inline}8hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img319.gif" + ALT="$8\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}deltaEsinE{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="62" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img248.gif" + ALT="$\delta E \sin E$">|; + +$key = q/{_inline}alpha={_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="30" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img285.gif" + ALT="$\alpha=$">|; + +$key = q/{_inline}4hspace-0.05em^'hspace-0.1em'hspace-0.4em.9{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img214.gif" + ALT="$4\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.9$">|; + +$key = q/{_inline}45^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img154.gif" + ALT="$45^\circ$">|; + +$key = q/{_inline}3200hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img206.gif" + ALT="$3200\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}equiv{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img251.gif" + ALT="$\equiv$">|; + +$key = q/{_inline}delta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img23.gif" + ALT="$\delta$">|; + +$key = q/{_inline}-26hspace-0.05em^'hspace-0.1em'hspace-0.4em.00{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="52" HEIGHT="35" ALIGN="MIDDLE" BORDER="0" + SRC="img88.gif" + ALT="$-26\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00$">|; + +$key = q/{_inline}psi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="14" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img105.gif" + ALT="$\psi$">|; + +$key = q/{_inline}-10^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="38" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img165.gif" + ALT="$-10^\circ$">|; + +$key = q/{_inline}81hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img135.gif" + ALT="$81\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}l^I!I=137.37{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="86" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img119.gif" + ALT="$l^{I\!I}=137.37$">|; + +$key = q/{_inline}87^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img196.gif" + ALT="$87^\circ$">|; + +$key = q/{_inline}(mu-1){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="53" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img45.gif" + ALT="$(\mu-1)$">|; + +$key = q/{_inline}23^h,59^m,60^s.0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="96" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img308.gif" + ALT="$23^{h}\,59^{m}\,60^{s}.0$">|; + +$key = q/{_inline}[,x,y,z,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="58" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img50.gif" + ALT="$[\,x,y,z\,]$">|; + +$key = q/{_inline}(1-bfDcdotbfV1){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="93" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img244.gif" + ALT="$(1-{\bf D}\cdot{\bf V1})$">|; + +$key = q/{_inline}24^h,59^m,59^s.999{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="113" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img237.gif" + ALT="$24^{h}\,59^{m}\,59^{s}.999$">|; + +$key = q/{_inline}7^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="18" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img170.gif" + ALT="$7^\circ$">|; + +$key = q/{_inline}220hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="33" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img221.gif" + ALT="$220\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img76.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$">|; + +$key = q/{_inline}dotalphacosdelta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img116.gif" + ALT="$\dot{\alpha}\cos\delta$">|; + +$key = q/{_inline}9hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img127.gif" + ALT="$9\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}h,delta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="27" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img65.gif" + ALT="$h,\delta$">|; + +$key = q/{_inline}beta~(=H_0r_0){_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img172.gif" + ALT="$\beta~(=H_0/r_0)$">|; + +$key = q/{_inline}0^rmshspace-0.3em.029032{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="65" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img268.gif" + ALT="$0^{\rm s}\hspace{-0.3em}.029032$">|; + +$key = q/{_inline}32^rmshspace-0.3em.184{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img311.gif" + ALT="$32^{\rm s}\hspace{-0.3em}.184$">|; + +$key = q/{_inline}10hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img74.gif" + ALT="$10\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}alpha{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img24.gif" + ALT="$\alpha$">|; + +$key = q/{_inline}nu=p_wp_s{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="75" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img180.gif" + ALT="$\nu=p_w/p_s$">|; + +$key = q/{_inline}0-2pi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="48" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img143.gif" + ALT="$0-2\pi$">|; + +$key = q/{_inline}[,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="58" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img111.gif" + ALT="$[\,\dot{x},\dot{y},\dot{z}\,]$">|; + +$key = q/{_inline}75^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img164.gif" + ALT="$75^\circ$">|; + +$key = q/{_inline}100,murmm{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="53" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img44.gif" + ALT="$100\,\mu{\rm m}$">|; + +$key = q/{_inline}x''=x'rmXS{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="76" HEIGHT="16" ALIGN="BOTTOM" BORDER="0" + SRC="img59.gif" + ALT="$x'' = x' {\rm XS}$">|; + +$key = q/{_inline}[,x,y,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="42" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img20.gif" + ALT="$[\,x,y\,]$">|; + +$key = q/{_inline}Deltapsi,cos,epsilon{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="62" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img108.gif" + ALT="$\Delta\psi\,cos\,\epsilon$">|; + +$key = q/{_inline}bfrmM{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="17" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img71.gif" + ALT="${\bf \rm M}$">|; + +$key = q/{_inline}zeta<60^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img159.gif" + ALT="$\zeta<60^{\circ}$">|; + +$key = q/{_inline}Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="61" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img310.gif" + ALT="$\Delta\psi\cos\epsilon$">|; + +$key = q/{_inline}zeta=83^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img209.gif" + ALT="$\zeta=83^\circ$">|; + +$key = q/{_inline}mtimesn{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="46" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img228.gif" + ALT="$m \times n$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.062{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="39" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img293.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.062$">|; + +$key = q/{_inline}12pi=0.1591549430918953358{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="227" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img6.gif" + ALT="$1/{2 \pi} = 0.1591549430918953358$">|; + +$key = q/{_inline}42^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img233.gif" + ALT="$42^{\circ}$">|; + +$key = q/{_inline}1000hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img142.gif" + ALT="$1000\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}11hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img43.gif" + ALT="$11\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +$key = q/{_inline}29^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img36.gif" + ALT="$29^\circ$">|; + +$key = q/{_inline}84^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img191.gif" + ALT="$84^\circ$">|; + +$key = q/{_inline}[,l^I!I,b^I!I,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="59" HEIGHT="32" ALIGN="MIDDLE" BORDER="0" + SRC="img98.gif" + ALT="$[\,l^{I\!I},b^{I\!I}\,]$">|; + +$key = q/{_inline}rmbfv_0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="19" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img103.gif" + ALT="${\rm \bf v}_0$">|; + +$key = q/{_inline}mu_alpha=-{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img266.gif" + ALT="$\mu_\alpha=-$">|; + +$key = q/{_inline}w_iigeq0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="54" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img229.gif" + ALT="$w_{ii} \geq 0$">|; + +$key = q/{_inline}sim76^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img156.gif" + ALT="$\sim 76^\circ$">|; + +$key = q/{_inline}bfM{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="20" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img122.gif" + ALT="${\bf M}$">|; + +$key = q/{_inline}pmpi{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img47.gif" + ALT="$\pm \pi$">|; + +$key = q/{_inline}23^rmh,59^rmm,59^rms{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="82" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" + SRC="img54.gif" + ALT="$23^{\rm h}\,59^{\rm m}\,59^{\rm s}$">|; + +$key = q/{_inline}30^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img182.gif" + ALT="$30^\circ$">|; + +$key = q/{_inline}rmbfr_0.rmbfv_0{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="39" HEIGHT="25" ALIGN="MIDDLE" BORDER="0" + SRC="img104.gif" + ALT="${\rm \bf r}_0.{\rm \bf v}_0$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00066{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="56" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img283.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00066$">|; + +$key = q/{_inline}-0^rmshspace-0.3em.0312{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="61" HEIGHT="26" ALIGN="MIDDLE" BORDER="0" + SRC="img290.gif" + ALT="$-0^{\rm s}\hspace{-0.3em}.0312$">|; + +$key = q/{_inline}delta={_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="28" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img287.gif" + ALT="$\delta=$">|; + +$key = q/{_inline}Omega{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img99.gif" + ALT="$\Omega$">|; + +$key = q/{_inline}93^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" + SRC="img176.gif" + ALT="$93^\circ$">|; + +$key = q/{_inline}+20^circ{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="38" HEIGHT="27" ALIGN="MIDDLE" BORDER="0" + SRC="img166.gif" + ALT="$+20^\circ$">|; + +$key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.50{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="31" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img80.gif" + ALT="$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.50$">|; + +$key = q/{_inline}~cosdelta{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="43" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img284.gif" + ALT="$~\cos \delta $">|; + +$key = q/{_inline}[,h,delta,]{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="41" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img29.gif" + ALT="$[\,h,\delta\,]$">|; + +$key = q/{_inline}92hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; +$cached_env_img{$key} = q|<IMG WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" + SRC="img220.gif" + ALT="$92\hspace{-0.05em}^{'\hspace{-0.1em}'}$">|; + +1; + |