# 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|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.74$|; $key = q/{_inline}cosdeltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\cos \delta E$|; $key = q/{_inline}0^rmshspace-0.3em.03{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.03$|; $key = q/{_inline}0leqx<1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0 \leq x < 1$|; $key = q/{_inline}zeta=80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta=80^\circ$|; $key = q/{_inline}-75^circ,59^',27^''.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-75^{\circ}\,59^{'}\,27^{''}.2$|; $key = q/{_inline}150hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$150\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}2hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$2\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$|; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$|; $key = q/{displaymath}zeta_vacapproxzeta_obs+Atanzeta_obs+Btan^3zeta_obs{displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q|\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|$1000\times20$|; $key = q/{_inline}times3602pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times 360/2\pi$|; $key = q/{_inline}21hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$21\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}12^h,07^m,58^s.09{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$12^{h}\,07^{m}\,58^{s}.09$|; $key = q/{_inline}81^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$81^\circ$|; $key = q/{_inline}omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\omega$|; $key = q/{_inline}30^rmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$30^{\rm m}$|; $key = q/{_inline}89^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$89^\circ$|; $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|\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|$1^\circ$|; $key = q/{_inline}=Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$=\Delta\psi\cos\epsilon$|; $key = q/{_inline}(3times3){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$(3\times3)$|; $key = q/{_inline}epsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\epsilon$|; $key = q/{_inline}290^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$290^\circ$|; $key = q/{_inline}+1^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$+1^{\circ}$|; $key = q/{_inline}20,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$20\,\mu{\rm m}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.6{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$|; $key = q/{_inline}7hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$7\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$|; $key = q/{_inline}C_3!=!-10.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$C_3\!=\!-10.0$|; $key = q/{_inline}~sinalpha+({_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\sin \alpha + ($|; $key = q/{_inline}xi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\xi$|; $key = q/{_inline}1100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1100\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}[lambda,phi]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\lambda,\phi]$|; $key = q/{_inline}30hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$30\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}1.0027379cdots{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1.0027379\cdots$|; $key = q/{_inline}90^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$90^{\circ}$|; $key = q/{_inline}14hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$14\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}rho=r(1+cr^2){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\rho = r (1 + c r^{2})$|; $key = q/{_inline}pmn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm n$|; $key = q/{_inline}bfD{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\bf D}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.24{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.24$|; $key = q/{_inline}0^rmshspace-0.3em.015869{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.015869$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.43549{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.43549$|; $key = q/{_inline}[,Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,\Delta x,\Delta y, \Delta z\,]$|; $key = q/{_inline}86hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$86\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}(0leqe<1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$( 0 \leq e < 1 )$|; $key = q/{_inline}0^rmh{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm h}$|; $key = q/{_inline}~cosalpha-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\cos \alpha -$|; $key = q/{_inline}[theta,phi,dottheta,dotphi]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\theta,\phi,\dot{\theta},\dot{\phi}]$|; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0$|; $key = q/{_inline}nu=rho_wrho_s{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\nu=\rho_w/\rho_s$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$|; $key = q/{_inline}varpi=Omega+omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\varpi = \Omega + \omega$|; $key = q/{_inline}6hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$6\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$|; $key = q/{_inline}mu_delta,=+{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu_\delta\,=+$|; $key = q/{_inline}920hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$920\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}b^I!I=0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$b^{I\!I}=0$|; $key = q/{_inline}x'=x_1+rmXZ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$x' = x_{1} + {\rm XZ}$|; $key = q/{_inline}mu_alpha={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu_\alpha=$|; $key = q/{_inline}rmbfr_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\rm \bf r}_0$|; $key = q/{_inline}zeta_vac{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta _{vac}$|; $key = q/{_inline}86^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$86^\circ$|; $key = q/{_inline}y'''=+x''sinrmPERP2+y''cosrmPERP2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$y''' = + x'' \sin {\rm PERP}/2 + y'' \cos {\rm PERP}/2$|; $key = q/{_inline}C_2!=!-2.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$C_2\!=\!-2.0$|; $key = q/{_inline}0.0065^circm^-1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0.0065^\circ m^{-1}$|; $key = q/{_inline}alpha=18^rmh,delta=+30^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha=18^{\rm h},\delta=+30^{\circ}$|; $key = q/{_inline}[mu_alpha,mu_delta]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\mu_\alpha,\mu_\delta]$|; $key = q/{_inline}5^rmh,25^rmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$5^{\rm h}\,25^{\rm m}$|; $key = q/{figure}centertabular|cccccc|hline&&&&&hspace5em&hspace5em&hspace5em&hspace5em&halloftheprecessionandE-termscorrectionsaresuperfluous.{figure}MSF=1.5;FSF=1;AAT;/; $cached_env_img{$key} = q|\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|$~\sin \alpha -$|; $key = q/{_inline}equiv123{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\equiv123$|; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.7{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.7$|; $key = q/{_inline}12^circ,34^',56^''.7{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$12^{\circ}\,34^{'}\,56^{''}.7$|; $key = q/{_inline}y'=y_1+rmYZ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$y' = y_{1} + {\rm YZ}$|; $key = q/{_inline}+0hspace-0.05em^'hspace-0.1em'hspace-0.4em.103{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$+0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.103$|; $key = q/{_inline}=93^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$=93^\circ$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.0001{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0001$|; $key = q/{_inline}[x_e,y_e,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[x_{e},y_{e}\,]$|; $key = q/{_inline}[,0,,1,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,0,\,1\,]$|; $key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$|; $key = q/{_inline}theta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\theta$|; $key = q/{_inline}zeta<80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta<80^{\circ}$|; $key = q/{_inline}0^rmshspace-0.3em.000340{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.000340$|; $key = q/{_inline}deltaEcosE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\delta E \cos E$|; $key = q/{_inline}[x_m,y_m,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[x_{m},y_{m}\,]$|; $key = q/{_inline}-0hspace-0.05em^'hspace-0.1em'hspace-0.4em.06{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.06$|; $key = q/{_inline}340hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$340\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}l^I!I,b^I!I{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$l^{I\!I},b^{I\!I}$|; $key = q/{_inline}20^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$20^\circ$|; $key = q/{_inline}_j)]cdot({_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$_{j})] \cdot ($|; $key = q/{_inline}times{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times$|; $key = q/{_inline}20hspace-0.05em^'hspace-0.1em'hspace-0.4em.49552{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.49552$|; $key = q/{_inline}tan^3zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\tan^{3} \zeta$|; $key = q/{_inline}E=90^circ-zeta_true{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$E=90^\circ-\zeta_{true}$|; $key = q/{_inline}83^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$83^\circ$|; $key = q/{_inline}0^rmshspace-0.3em.9{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.9$|; $key = q/{_inline}(0leqeleq10){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$( 0 \leq e \leq 10 )$|; $key = q/{_inline}17hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$17\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}0.4,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0.4\,\mu{\rm m}$|; $key = q/{_inline}3^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3^{\circ}$|; $key = q/{_inline}20^rms{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$20^{\rm s}$|; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}zeta=70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta=70^\circ$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.001{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.001$|; $key = q/{_inline}DeltarmT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta {\rm T}$|; $key = q/{_inline}pm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm$|; $key = q/{_inline}C_1!=!+50.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$C_1\!=\!+50.0$|; $key = q/{_inline}l^I!I=90^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$l^{I\!I}=90^{\circ}$|; $key = q/{_inline}50^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$50^\circ$|; $key = q/{_inline}[,theta,phi~]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,\theta,\phi~]$|; $key = q/{_inline}x!pm!n{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$x\!\pm\!n$|; $key = q/{_inline}mu_delta={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu_\delta=$|; $key = q/{_inline}3times3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3\times3$|; $key = q/{_inline}50hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$50\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}1.0,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1.0\,\mu{\rm m}$|; $key = q/{_inline}92^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$92^\circ$|; $key = q/{_inline}18hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$18\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}0.7,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0.7\,\mu{\rm m}$|; $key = q/{_inline}timesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times n$|; $key = q/{_inline}rmMJD=(rmJD-2400000.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\rm MJD} = ({\rm JD} - 2400000.5$|; $key = q/{_inline}0^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\circ} \hspace{-0.37em}.\hspace{0.02em}5$|; $key = q/{_inline}tan^-14{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\tan^{-1} 4$|; $key = q/{_inline}0^rmshspace-0.3em.01{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.01$|; $key = q/{_inline}100hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$100\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}2hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$2\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}[,xi,eta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,\xi,\eta\,]$|; $key = q/{_inline}00^h,00^m,00^s.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$00^{h}\,00^{m}\,00^{s}.0$|; $key = q/{_inline}0!-!pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\!-\!\pi$|; $key = q/{_inline}280^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$280^\circ$|; $key = q/{_inline}beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\beta$|; $key = q/{_inline}0^rmshspace-0.3em.000083{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.000083$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00510{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00510$|; $key = q/{_inline}zeta=87^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta = 87^{\circ}$|; $key = q/{_inline}90^circ-delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$90^\circ-\delta$|; $key = q/{_inline}2murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$2\mu{\rm m}$|; $key = q/{_inline}{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$<{\bf V1}+{\bf D}\gt$|; $key = q/{_inline}5hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$5\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$|; $key = q/{_inline}25^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$25^\circ$|; $key = q/{_inline}80^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$80^\circ$|; $key = q/{_inline}pmpi2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm\pi/2$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.01{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.01$|; $key = q/{_inline}rho{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\rho$|; $key = q/{_inline}152pi=2.3873241463784300365{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$15/{2\pi} = 2.3873241463784300365$|; $key = q/{_inline}2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$2\pi$|; $key = q/{_inline}43hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$43\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}sim20{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\sim20$|; $key = q/{_inline}[,alpha,delta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,\alpha,\delta\,]$|; $key = q/{_inline}dotalpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\dot{\alpha}$|; $key = q/{_inline}0^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\circ}$|; $key = q/{_inline}88^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$88^\circ$|; $key = q/{_inline}bfV1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\bf V1}$|; $key = q/{_inline}tan^-11{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\tan^{-1} 1$|; $key = q/{_inline}0^circhspace-0.37em.hspace0.02em2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\circ} \hspace{-0.37em}.\hspace{0.02em}2$|; $key = q/{_inline}-19^circ,44^',37^''.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-19^{\circ}\,44^{'}\,37^{''}.1$|; $key = q/{_inline}cdot~[diag(1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\cdot~[diag(1/$|; $key = q/{_inline}alpha=0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha=0$|; $key = q/{_inline}~cosalpha)sindelta-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\cos \alpha ) \sin \delta -$|; $key = q/{_inline}zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta$|; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}tanzeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\tan \zeta$|; $key = q/{_inline}0^rmshspace-0.3em.000105{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.000105$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.4{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.4$|; $key = q/{_inline}~sinalpha)secdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\sin \alpha ) \sec \delta $|; $key = q/{_inline}-1^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-1^{\circ}$|; $key = q/{_inline}times10^-5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times10^{-5}$|; $key = q/{_inline}C_4!=!+25.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$C_4\!=\!+25.0$|; $key = q/{_inline}60hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$60\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$76^\circ$|; $key = q/{_inline}x'''=+x''cosrmPERP2+y''sinrmPERP2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$x''' = + x'' \cos {\rm PERP}/2 + y'' \sin {\rm PERP}/2$|; $key = q/{_inline}deltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\delta E$|; $key = q/{_inline}times2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times 2 / $|; $key = q/{_inline}zeta_obs{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta_{obs}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$|; $key = q/{_inline}4hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$4\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}0^rmshspace-0.3em.0016{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.0016$|; $key = q/{_inline}zeta=84^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta=84^\circ$|; $key = q/{_inline}100mum{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$100\mu m$|; $key = q/{_inline}sigma=5.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\sigma=5.0$|; $key = q/{_inline}circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\circ}$|; $key = q/{_inline}[x_1,y_1,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[x_{1},y_{1}\,]$|; $key = q/{_inline}L=varpi+M{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$L = \varpi + M$|; $key = q/{_inline}16^h,09^m,55^s.13{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$16^{h}\,09^{m}\,55^{s}.13$|; $key = q/{_inline}times(2pi86400)^2times(3602pi){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times (2\pi/86400)^2 \times (360/2\pi)$|; $key = q/{_inline}xi,eta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\xi,\eta$|; $key = q/{_inline}Deltazeta=atanzeta+btan^3zeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta \zeta = a \tan \zeta + b \tan^{3} \zeta$|; $key = q/{_inline}23^circhspace-0.37em.hspace0.02em5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$23^{\circ} \hspace{-0.37em}.\hspace{0.02em}5$|; $key = q/{_inline}rightarrow{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\rightarrow$|; $key = q/{_inline}pmn.nxpmn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm n.n x \pm n$|; $key = q/{_inline}cdot{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\cdot$|; $key = q/{_inline}85^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$85^\circ$|; $key = q/{_inline}45hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$45\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}pm3{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm3$|; $key = q/{_inline}0^rmshspace-0.3em.0013{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.0013$|; $key = q/{_inline}zeta<70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta<70^{\circ}$|; $key = q/{_inline}tan^5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\tan^5$|; $key = q/{_inline}5hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$5\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}~sinalpha+{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\sin \alpha +$|; $key = q/{_inline}620hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$620\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}ntimesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$n \times n$|; $key = q/{_inline}Deltazeta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta \zeta$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00125{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00125$|; $key = q/{_inline}10^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$10^{\circ}$|; $key = q/{_inline}varpi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\varpi$|; $key = q/{_inline}lambda,beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\lambda,\beta$|; $key = q/{_inline}0.3,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0.3\,\mu{\rm m}$|; $key = q/{_inline}pm100{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm100$|; $key = q/{_inline}1900hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1900\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}times10^-10{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\times10^{-10}$|; $key = q/{_inline}M_odot=1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$M_\odot = 1$|; $key = q/{_inline}Deltaalpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta\alpha$|; $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|\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|$\times (2\pi/86400) \times (360/2\pi)$|; $key = q/{_inline}zeta<45^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta<45^{\circ}$|; $key = q/{_inline}[,Az,El~]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,Az,El~]$|; $key = q/{_inline}6hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$6\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}^Tcdot{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$^{T}\cdot$|; $key = q/{_inline}3hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$|; $key = q/{_inline}[x_p,y_p,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[x_{p},y_{p}\,]$|; $key = q/{_inline}[x_2,y_2,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[x_{2},y_{2}\,]$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00158{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00158$|; $key = q/{_inline}x_2=+x'''cosrmORIENT+y'''sinrmORIENT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$x_{2} = + x''' \cos {\rm ORIENT} + y''' \sin {\rm ORIENT}$|; $key = q/{_inline}61^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$61^\circ$|; $key = q/{_inline}y_2=-x'''sinrmORIENT+y'''cosrmORIENT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$y_{2} = - x''' \sin {\rm ORIENT} + y''' \cos {\rm ORIENT}$|; $key = q/{_inline}82^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$82^\circ$|; $key = q/{_inline}0!-!2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\!-\!2\pi$|; $key = q/{_inline}71hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$71\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.05{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.05$|; $key = q/{_inline}sqrt1-left|mboxbfvright|^2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\sqrt{1-\left\vert\mbox{\bf v}\right\vert^2}$|; $key = q/{_inline}murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu{\rm m}$|; $key = q/{_inline}alpha,deltarightarrowlambda,beta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha,\delta\rightarrow\lambda,\beta$|; $key = q/{displaymath}h=theta-alpha{displaymath}MSF=1.5;AAT;/; $cached_env_img{$key} = q|\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|$2^{\circ} \hspace{-0.37em}.\hspace{0.02em}4$|; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.85{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.85$|; $key = q/{_inline}+pi2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$+\pi/2$|; $key = q/{_inline}sim!76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\sim\!76^\circ$|; $key = q/{_inline}[,x,y,z,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,x,y,z,\dot{x},\dot{y},\dot{z}\,]$|; $key = q/{_inline}6.5^circKkm^-1{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$6.5^\circ K km^{-1}$|; $key = q/{_inline}270^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$270^\circ$|; $key = q/{_inline}7hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$7\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}tandeltaEapproxdeltaE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\tan \delta E\approx\delta E}$|; $key = q/{_inline}cdots{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\cdots$|; $key = q/{_inline}1hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.8{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$|; $key = q/{_inline}(1-deltaE^22){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$(1-\delta E^2 /2)$|; $key = q/{_inline}mu{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu$|; $key = q/{_inline}15^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$15^\circ$|; $key = q/{_inline}[Deltax,Deltay,Deltaz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\Delta x, \Delta y, \Delta z\,]$|; $key = q/{_inline}70^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$70^\circ$|; $key = q/{_inline}DeltarmT=rmET-rmUT{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta {\rm T} = {\rm ET} - {\rm UT}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.02{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.02$|; $key = q/{_inline}91^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$91^\circ$|; $key = q/{_inline}Delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta$|; $key = q/{_inline}l^I!I=53^circ,b^I!I=+25^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$l^{I\!I}=53^{\circ},b^{I\!I}=+25^{\circ}$|; $key = q/{_inline}y''=y'rmYS{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$y'' = y' {\rm YS}$|; $key = q/{_inline}bfV2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\bf V2}$|; $key = q/{_inline}[,0,2pi,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,0,2\pi\,]$|; $key = q/{_inline}mgeqn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$m \geq n$|; $key = q/{_inline}360^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$360^{\circ}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.5{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$|; $key = q/{_inline}alpha,delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha,\delta$|; $key = q/{_inline}8hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$8\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}deltaEsinE{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\delta E \sin E$|; $key = q/{_inline}alpha={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha=$|; $key = q/{_inline}4hspace-0.05em^'hspace-0.1em'hspace-0.4em.9{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$4\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.9$|; $key = q/{_inline}45^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$45^\circ$|; $key = q/{_inline}3200hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$3200\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}equiv{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\equiv$|; $key = q/{_inline}delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\delta$|; $key = q/{_inline}-26hspace-0.05em^'hspace-0.1em'hspace-0.4em.00{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-26\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00$|; $key = q/{_inline}psi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\psi$|; $key = q/{_inline}-10^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-10^\circ$|; $key = q/{_inline}81hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$81\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}l^I!I=137.37{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$l^{I\!I}=137.37$|; $key = q/{_inline}87^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$87^\circ$|; $key = q/{_inline}(mu-1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$(\mu-1)$|; $key = q/{_inline}23^h,59^m,60^s.0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$23^{h}\,59^{m}\,60^{s}.0$|; $key = q/{_inline}[,x,y,z,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,x,y,z\,]$|; $key = q/{_inline}(1-bfDcdotbfV1){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$(1-{\bf D}\cdot{\bf V1})$|; $key = q/{_inline}24^h,59^m,59^s.999{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$24^{h}\,59^{m}\,59^{s}.999$|; $key = q/{_inline}7^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$7^\circ$|; $key = q/{_inline}220hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$220\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.2{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$|; $key = q/{_inline}dotalphacosdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\dot{\alpha}\cos\delta$|; $key = q/{_inline}9hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$9\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}h,delta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$h,\delta$|; $key = q/{_inline}beta~(=H_0r_0){_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\beta~(=H_0/r_0)$|; $key = q/{_inline}0^rmshspace-0.3em.029032{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0^{\rm s}\hspace{-0.3em}.029032$|; $key = q/{_inline}32^rmshspace-0.3em.184{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$32^{\rm s}\hspace{-0.3em}.184$|; $key = q/{_inline}10hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$10\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}alpha{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\alpha$|; $key = q/{_inline}nu=p_wp_s{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\nu=p_w/p_s$|; $key = q/{_inline}0-2pi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0-2\pi$|; $key = q/{_inline}[,dotx,doty,dotz,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,\dot{x},\dot{y},\dot{z}\,]$|; $key = q/{_inline}75^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$75^\circ$|; $key = q/{_inline}100,murmm{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$100\,\mu{\rm m}$|; $key = q/{_inline}x''=x'rmXS{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$x'' = x' {\rm XS}$|; $key = q/{_inline}[,x,y,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,x,y\,]$|; $key = q/{_inline}Deltapsi,cos,epsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta\psi\,cos\,\epsilon$|; $key = q/{_inline}bfrmM{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\bf \rm M}$|; $key = q/{_inline}zeta<60^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta<60^{\circ}$|; $key = q/{_inline}Deltapsicosepsilon{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Delta\psi\cos\epsilon$|; $key = q/{_inline}zeta=83^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\zeta=83^\circ$|; $key = q/{_inline}mtimesn{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$m \times n$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.062{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.062$|; $key = q/{_inline}12pi=0.1591549430918953358{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1/{2 \pi} = 0.1591549430918953358$|; $key = q/{_inline}42^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$42^{\circ}$|; $key = q/{_inline}1000hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$1000\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}11hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$11\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; $key = q/{_inline}29^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$29^\circ$|; $key = q/{_inline}84^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$84^\circ$|; $key = q/{_inline}[,l^I!I,b^I!I,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,l^{I\!I},b^{I\!I}\,]$|; $key = q/{_inline}rmbfv_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\rm \bf v}_0$|; $key = q/{_inline}mu_alpha=-{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\mu_\alpha=-$|; $key = q/{_inline}w_iigeq0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$w_{ii} \geq 0$|; $key = q/{_inline}sim76^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\sim 76^\circ$|; $key = q/{_inline}bfM{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\bf M}$|; $key = q/{_inline}pmpi{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\pm \pi$|; $key = q/{_inline}23^rmh,59^rmm,59^rms{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$23^{\rm h}\,59^{\rm m}\,59^{\rm s}$|; $key = q/{_inline}30^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$30^\circ$|; $key = q/{_inline}rmbfr_0.rmbfv_0{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|${\rm \bf r}_0.{\rm \bf v}_0$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.00066{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00066$|; $key = q/{_inline}-0^rmshspace-0.3em.0312{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$-0^{\rm s}\hspace{-0.3em}.0312$|; $key = q/{_inline}delta={_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\delta=$|; $key = q/{_inline}Omega{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$\Omega$|; $key = q/{_inline}93^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$93^\circ$|; $key = q/{_inline}+20^circ{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$+20^\circ$|; $key = q/{_inline}0hspace-0.05em^'hspace-0.1em'hspace-0.4em.50{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.50$|; $key = q/{_inline}~cosdelta{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$~\cos \delta $|; $key = q/{_inline}[,h,delta,]{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$[\,h,\delta\,]$|; $key = q/{_inline}92hspace-0.05em^'hspace-0.1em'{_inline}MSF=1.5;AAT;/; $cached_env_img{$key} = q|$92\hspace{-0.05em}^{'\hspace{-0.1em}'}$|; 1;