diff options
Diffstat (limited to 'src/slalib/sun67.htx/images.tex')
-rw-r--r-- | src/slalib/sun67.htx/images.tex | 2852 |
1 files changed, 2852 insertions, 0 deletions
diff --git a/src/slalib/sun67.htx/images.tex b/src/slalib/sun67.htx/images.tex new file mode 100644 index 0000000..8881d62 --- /dev/null +++ b/src/slalib/sun67.htx/images.tex @@ -0,0 +1,2852 @@ +\batchmode +\documentclass[11pt,twoside]{article} +\makeatletter +\input{/home/user1/dec/ptw/hypertext/sun67_htx/html.sty} +\input{/home/user1/dec/ptw/hypertext/sun67_htx/star2html.sty} +\setcounter{tocdepth}{2} +\pagestyle{myheadings} + +\markright{SUN/67.45} + +\setlength {\textwidth}{160mm} + +\setlength {\textheight}{230mm} + +\setlength {\topmargin}{-5mm} + + +\setlength {\textwidth}{160mm} + + +\setlength {\textheight}{230mm} + + +\setlength {\topmargin}{-2mm} + + +\setlength {\oddsidemargin}{0mm} + + +\setlength {\evensidemargin}{0mm} + + +\setlength {\parindent}{0mm} + + +\setlength {\parskip}{\medskipamount} + + +\setlength {\unitlength}{1mm} + + +\latex{\renewcommand {\_}{{\tt\symbol{95}}}} + +\newlength {\oldspacing} + + +\newcommand{\stardoccategory} {Starlink User Note} + +\newcommand{\stardocinitials} {SUN} + +\newcommand{\stardocsource} {sun67.45} + +\newcommand{\stardocnumber} {67.45} + +\newcommand{\stardocauthors} {P.\,T.\,Wallace} + +\newcommand{\stardocdate} {12 October 1999} + +\newcommand{\stardoctitle} {SLALIB --- Positional Astronomy Library} + +\newcommand{\stardocversion} {2.4-0} + +\newcommand{\stardocmanual} {Programmer's Manual} + +\newcommand{\stardocname}{\stardocinitials /\stardocnumber} + +\newcommand{\htmladdnormallinkfoot}[2]{#1\footnote{#2}} + +\newcommand{\htmladdnormallink}[2]{#1} + +\newcommand{\htmladdimg}[1]{} + +\newenvironment{latexonly}{}{} + +\newcommand{\hyperref}[4]{#2\ref{#4}#3} + +\newcommand{\htmlref}[2]{#1} + +\newcommand{\htmlimage}[1]{} + +\newcommand{\htmladdtonavigation}[1]{} + +\newcommand{\xref}[3]{#1} + +\newcommand{\xlabel}[1]{} + +\newcommand{\latextohtml}{{\bf LaTeX}{2}{\tt{HTML}}} + +\newcommand{\latex}[1]{#1} + +\newcommand{\setunderscore}{\renewcommand {\_}{{\tt\symbol{95}}}} + +\newcommand{\latexonlytoc}[0]{\tableofcontents} + +\newcommand{\nroutines} {183} + +\newcommand{\radec} {$[\,\alpha,\delta\,]$} + +\newcommand{\hadec} {$[\,h,\delta\,]$} + +\newcommand{\xieta} {$[\,\xi,\eta\,]$} + +\newcommand{\azel} {$[\,Az,El~]$} + +\newcommand{\ecl} {$[\,\lambda,\beta~]$} + +\newcommand{\gal} {$[\,l^{I\!I},b^{I\!I}\,]$} + +\newcommand{\xy} {$[\,x,y\,]$} + +\newcommand{\xyz} {$[\,x,y,z\,]$} + +\newcommand{\xyzd} {$[\,\dot{x},\dot{y},\dot{z}\,]$} + +\newcommand{\xyzxyzd} {$[\,x,y,z,\dot{x},\dot{y},\dot{z}\,]$} + +\newcommand{\degree}[2] {$#1^{\circ} + \hspace{-0.37em}.\hspace{0.02em}#2$} + +\newcommand{\arcsec}[2] {\arcseci{#1}$\hspace{-0.4em}.#2$} + +\newcommand{\arcseci}[1] {$#1\hspace{-0.05em}$\raisebox{-0.5ex} + {$^{'\hspace{-0.1em}'}$}} + +\renewcommand{\arcseci}[1] {$#1\hspace{-0.05em}^{'\hspace{-0.1em}'}$} + +\newcommand{\dms}[4] {$#1^{\circ}\,#2\raisebox{-0.5ex} + {$^{'}$}\,$\arcsec{#3}{#4}} + +\renewcommand{\dms}[4]{$#1^{\circ}\,#2^{'}\,#3^{''}.#4$} + +\newcommand{\tseci}[1] {$#1$\mbox{$^{\rm s}$}} + +\newcommand{\tsec}[2] {\tseci{#1}$\hspace{-0.3em}.#2$} + +\renewcommand{\tsec}[2] {$#1^{\rm s}\hspace{-0.3em}.#2$} + +\newcommand{\hms}[4] {$#1^{\rm h}\,#2^{\rm m}\,$\tsec{#3}{#4}} + +\renewcommand{\hms}[4] {$#1^{h}\,#2^{m}\,#3^{s}.#4$} + +\newcommand{\callhead}[1]{\goodbreak\vspace{\bigskipamount}{\large\bf{#1}}} + +\newenvironment{callset}{\begin{list}{}{\setlength{\leftmargin}{2cm} + \setlength{\parsep}{\smallskipamount}}}{\end{list}} + +\newcommand{\subp}[1]{\item\hspace{-1cm}#1\\} + +\newcommand{\subq}[2]{\item\hspace{-1cm}#1\\\hspace*{-1cm}#2\\} + +\newcommand{\name}[1]{\mbox{#1}} + +\newcommand{\fortvar}[1]{\mbox{\em #1}} + +\newcommand{\routine}[3] +{\hbadness=10000 + \vbox + { + \rule{\textwidth}{0.3mm}\\ {\Large {\bf #1} \hfill #2 \hfill {\bf #1}}\\ \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + #3 + \end{description} + \setlength{\topsep}{\oldspacing} + } +} + +\renewcommand{\routine}[3] + { + \subsection{#1\xlabel{#1} - #2\label{#1}} + \begin{description} + #3 + \end{description} + } + +\newcommand{\action}[1] +{\item[ACTION]: #1} + +\newcommand{\call}[1] +{\item[CALL]: \hspace{0.4em}{\tt #1}} + +\renewcommand{\call}[1] + { + \item[CALL:] {\tt #1} + } + +\newcommand{\args}[2] +{ + \goodbreak + \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + \item[#1]:\\[1.5ex] + \begin{tabular}{p{7em}p{6em}p{22em}} + #2 + \end{tabular} + \end{description} + \setlength{\topsep}{\oldspacing} +} + +\renewcommand{\args}[2] + { + \begin{description} + \item[#1:]\\ \begin{tabular}{p{7em}p{6em}l} + #2 + \end{tabular} + \end{description} + } + +\newcommand{\spec}[3] +{ + {\em {#1}} & {\bf \mbox{#2}} & {#3} +} + +\newcommand{\specel}[2] +{ + \multicolumn{1}{c}{#1} & {} & {#2} +} + +\newcommand{\anote}[1] +{ + \goodbreak + \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + \item[NOTE]: + #1 + \end{description} + \setlength{\topsep}{\oldspacing} +} + +\renewcommand{\anote}[1] + { + \begin{description} + \item[NOTE:] + #1 + \end{description} + } + +\newcommand{\notes}[1] +{ + \goodbreak + \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + \item[NOTES]: + #1 + \end{description} + \setlength{\topsep}{\oldspacing} +} + +\renewcommand{\notes}[1] + { + \begin{description} + \item[NOTES:] + #1 + \end{description} + } + +\newcommand{\aref}[1] +{ + \goodbreak + \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + \item[REFERENCE]: + #1 + \end{description} + \setlength{\topsep}{\oldspacing} +} + +\newcommand{\refs}[1] +{ + \goodbreak + \setlength{\oldspacing}{\topsep} + \setlength{\topsep}{0.3ex} + \begin{description} + \item[REFERENCES]: + #1 + \end{description} + \setlength{\topsep}{\oldspacing} +} + +\newcommand{\exampleitem}{\item [EXAMPLE]:} + +\renewcommand{\exampleitem}{\item [EXAMPLE:]} + +\renewcommand{\thepage}{\roman{page}} + +\renewcommand{\latexonlytoc}[0]{} + +\renewcommand{\thepage}{\arabic{page}} +\input{/home/user1/dec/ptw/hypertext/sun67_htx/star2html.sty} + + +\makeatother +\ifx\AtBeginDocument\undefined \newcommand{\AtBeginDocument}[1]{}\fi +\newenvironment{tex2html_wrap}{}{} +\newbox\sizebox +\setlength{\hoffset}{0pt}\setlength{\voffset}{0pt} +\addtolength{\textheight}{\footskip}\setlength{\footskip}{0pt} +\addtolength{\textheight}{\topmargin}\setlength{\topmargin}{0pt} +\addtolength{\textheight}{\headheight}\setlength{\headheight}{0pt} +\addtolength{\textheight}{\headsep}\setlength{\headsep}{0pt} +\setlength{\textwidth}{451pt} +\newwrite\lthtmlwrite +\makeatletter +\let\realnormalsize=\normalsize +\topskip=0pt +\def\preveqno{}\let\real@float=\@float \let\realend@float=\end@float +\def\@float{\let\@savefreelist\@freelist\real@float} +\def\end@float{\realend@float\global\let\@freelist\@savefreelist} +\let\real@dbflt=\@dbflt \let\end@dblfloat=\end@float +\let\@largefloatcheck=\relax +\def\@dbflt{\let\@savefreelist\@freelist\real@dbflt} +\def\adjustnormalsize{\def\normalsize{\mathsurround=0pt \realnormalsize\parindent=0pt\abovedisplayskip=0pt\belowdisplayskip=0pt}\normalsize} +\def\lthtmltypeout#1{{\let\protect\string\immediate\write\lthtmlwrite{#1}}}% +\newcommand\lthtmlhboxmathA{\adjustnormalsize\setbox\sizebox=\hbox\bgroup}% +\newcommand\lthtmlvboxmathA{\adjustnormalsize\setbox\sizebox=\vbox\bgroup% + \let\ifinner=\iffalse }% +\newcommand\lthtmlboxmathZ{\@next\next\@currlist{}{\def\next{\voidb@x}}% + \expandafter\box\next\egroup}% +\newcommand\lthtmlmathtype[1]{\def\lthtmlmathenv{#1}}% +\newcommand\lthtmllogmath{\lthtmltypeout{l2hSize % +:\lthtmlmathenv:\the\ht\sizebox::\the\dp\sizebox::\the\wd\sizebox.\preveqno}}% +\newcommand\lthtmlfigureA[1]{\let\@savefreelist\@freelist + \lthtmlmathtype{#1}\lthtmlvboxmathA}% +\newcommand\lthtmlfigureZ{\lthtmlboxmathZ\lthtmllogmath\copy\sizebox + \global\let\@freelist\@savefreelist}% +\newcommand\lthtmldisplayA[1]{\lthtmlmathtype{#1}\lthtmlvboxmathA}% +\newcommand\lthtmldisplayB[1]{\edef\preveqno{(\theequation)}% + \lthtmldisplayA{#1}\let\@eqnnum\relax}% +\newcommand\lthtmldisplayZ{\lthtmlboxmathZ\lthtmllogmath\lthtmlsetmath}% +\newcommand\lthtmlinlinemathA[1]{\lthtmlmathtype{#1}\lthtmlhboxmathA \vrule height1.5ex width0pt }% +\newcommand\lthtmlinlinemathZ{\egroup\expandafter\ifdim\dp\sizebox>0pt % + \expandafter\centerinlinemath\fi\lthtmllogmath\lthtmlsetmath} +\def\lthtmlsetmath{\hbox{\vrule width.5pt\vtop{\vbox{% + \kern.5pt\kern0.75 pt\hbox{\hglue.5pt\copy\sizebox\hglue0.75 pt}\kern.5pt% + \ifdim\dp\sizebox>0pt\kern0.75 pt\fi}% + \ifdim\hsize>\wd\sizebox \hrule depth1pt\fi}}} +\def\centerinlinemath{\dimen1=\ht\sizebox + \ifdim\dimen1<\dp\sizebox \ht\sizebox=\dp\sizebox + \else \dp\sizebox=\ht\sizebox \fi} + +\def\lthtmlcheckvsize{\ifdim\ht\sizebox<\vsize\expandafter\vfill + \else\expandafter\vss\fi}% +\makeatletter + + +\begin{document} +\pagestyle{empty}\thispagestyle{empty}% +\lthtmltypeout{latex2htmlLength hsize=\the\hsize}% +\lthtmltypeout{latex2htmlLength vsize=\the\vsize}% +\lthtmltypeout{latex2htmlLength hoffset=\the\hoffset}% +\lthtmltypeout{latex2htmlLength voffset=\the\voffset}% +\lthtmltypeout{latex2htmlLength topmargin=\the\topmargin}% +\lthtmltypeout{latex2htmlLength topskip=\the\topskip}% +\lthtmltypeout{latex2htmlLength headheight=\the\headheight}% +\lthtmltypeout{latex2htmlLength headsep=\the\headsep}% +\lthtmltypeout{latex2htmlLength parskip=\the\parskip}% +\lthtmltypeout{latex2htmlLength oddsidemargin=\the\oddsidemargin}% +\makeatletter +\if@twoside\lthtmltypeout{latex2htmlLength evensidemargin=\the\evensidemargin}% +\else\lthtmltypeout{latex2htmlLength evensidemargin=\the\oddsidemargin}\fi% +\makeatother +\setcounter{tocdepth}{2} +\stepcounter{section} +\setcounter{page}{1} +\stepcounter{section} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline417}% +$0^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline419}% +$-1^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{section} +\stepcounter{section} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline528}% +$[\,\alpha,\delta\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} + +\setlength {\oldspacing}{\topsep} +% + + +\setlength {\topsep}{0.3ex} +% + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline786}% +$12^{\circ}\,34^{'}\,56^{''}.7$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + + +\setlength {\topsep}{\oldspacing} +% + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline788}% +${\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline802}% +$1/{2 \pi} = 0.1591549430918953358$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline806}% +$15/{2\pi} = 2.3873241463784300365$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline893}% +$\zeta = 87^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} + +\setlength {\parskip}{\medskipamount} +% + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1090}% +$\times 360/2\pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1092}% +$\rightarrow$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1094}% +$\times (2\pi/86400) \times (360/2\pi)$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1098}% +$\times (2\pi/86400)^2 \times (360/2\pi)$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1102}% +$[\,0,2\pi\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1104}% +$+\pi/2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1106}% +$\pm\pi/2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1373}% +$\times 2 / $% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1375}% +$\sqrt{1-\left|\mbox{\bf v}\right|^2}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1377}% +$3\times3$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1701}% +$\Delta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1705}% +$[\,x,y\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1707}% +$\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1709}% +$90^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1711}% +$\delta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1713}% +$\alpha$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1715}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1717}% +$\zeta<70^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1721}% +$3^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1725}% +$[\,Az,El~]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1729}% +$[\,h,\delta\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1745}% +$\pm$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1747}% +$0^{\rm s}\hspace{-0.3em}.9$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline1749}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2524}% +$76^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2704}% +$0.7\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2706}% +$0.4\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2708}% +$29^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2710}% +$290^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2712}% +$0.0065^\circ m^{-1}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2716}% +$15^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2718}% +$1.0\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2720}% +$0.3\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2722}% +$20\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2724}% +$11\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2726}% +$100\,\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2728}% +$(\mu-1)$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2867}% +$[\lambda,\phi]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline2869}% +$\pm \pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3016}% +$\cdots$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3160}% +$0^{\rm h}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3380}% +$[\,x,y,z\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline3493}% +$[\,x,y,z,\dot{x},\dot{y},\dot{z}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4117}% +$2\pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline4123}% +$360^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} + +\setlength {\oldspacing}{\topsep} +% + + +\setlength {\topsep}{0.3ex} +% + + +\setlength {\topsep}{\oldspacing} +% + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5205}% +$23^{\rm h}\,59^{\rm m}\,59^{\rm s}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5954}% +$[x_{1},y_{1}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5956}% +$[x_{2},y_{2}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5962}% +$x' = x_{1} + {\rm XZ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5964}% +$y' = y_{1} + {\rm YZ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5966}% +$x'' = x' {\rm XS}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5968}% +$y'' = y' {\rm YS}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5970}% +$x''' = + x'' \cos {\rm PERP}/2 + y'' \sin {\rm PERP}/2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5972}% +$y''' = + x'' \sin {\rm PERP}/2 + y'' \cos {\rm PERP}/2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5974}% +$x_{2} = + x''' \cos {\rm ORIENT} + + y''' \sin {\rm ORIENT}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline5976}% +$y_{2} = - x''' \sin {\rm ORIENT} + + y''' \cos {\rm ORIENT}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6230}% +$h,\delta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6232}% +$0\!-\!2\pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6347}% +$\equiv123$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6475}% +$\pm n.n x \pm n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6491}% +$x\!\pm\!n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6713}% +$^{T}\cdot$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline6717}% +${\bf \rm M}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7186}% +$\cdot$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7188}% +$n \times n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7358}% +$10\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7360}% +$3\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7362}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7364}% +$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.7$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7366}% +$2\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.3$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7368}% +$18\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7370}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.50$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7374}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.24$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7376}% +$30\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7378}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline7465}% +$\times$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8210}% +$[\,\xi,\eta\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8382}% +$20^{\rm s}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8384}% +$30^{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8386}% +$-26\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.00$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8848}% +$\alpha=0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8993}% +$\xi,\eta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline8995}% +$\alpha,\delta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9003}% +$\xi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9812}% +$\times10^{-5}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9814}% +$\times10^{-10}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline9967}% +$\alpha,\delta\rightarrow\lambda,\beta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10116}% +$0^{\rm s}\hspace{-0.3em}.03$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10118}% +$0^{\rm s}\hspace{-0.3em}.01$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10191}% +$[\,l^{I\!I},b^{I\!I}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10601}% +$\Omega$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10603}% +$\varpi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10605}% +$\omega$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10625}% +${\rm \bf r}_0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10627}% +${\rm \bf v}_0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10629}% +${\rm \bf r}_0.{\rm \bf v}_0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10633}% +$\psi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10663}% +$( 0 \leq e < 1 )$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline10697}% +$( 0 \leq e \leq 10 )$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11178}% +$\Delta\psi\,cos\,\epsilon$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11337}% +$[\Delta x, \Delta y, \Delta z\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11339}% +$20\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.49552$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11594}% +$[\,\dot{x},\dot{y},\dot{z}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11608}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.001$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11828}% +$[x_{m},y_{m}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline11830}% +$[x_{e},y_{e}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12099}% +$\dot{\alpha}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12101}% +$\dot{\alpha}\cos\delta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12103}% +$10^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline12105}% +$\Delta\alpha$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline13294}% +$l^{I\!I}=137.37$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline13534}% +$1.0027379\cdots$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline13611}% +$[\,0,\,1\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline14280}% +${\bf M}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline14410}% +$\pm n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline15250}% +$920\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline15252}% +$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.85$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline15578}% +$14\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline15582}% +$9\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline16974}% +$\rho = r (1 + c r^{2})$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline16980}% +$\rho$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} + +\setlength {\parskip}{\medskipamount} +% + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19044}% +$4\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19046}% +$5\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19048}% +$6\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19050}% +$17\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19052}% +$71\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19054}% +$81\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19056}% +$86\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19060}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19064}% +${\rm MJD} = ({\rm JD} - 2400000.5$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline19834}% +$270^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline20108}% +$1\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline20114}% +$100\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline20116}% +$1000\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline20952}% +$0-2\pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline21527}% +$[x_{p},y_{p}\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline21604}% +$0 \leq x < 1$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline21862}% +$\mu$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline21866}% +$\pm3$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22333}% +$\Delta \zeta = a \tan \zeta + b \tan^{3} \zeta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22335}% +$\zeta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22337}% +$\Delta \zeta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22343}% +$\tan \zeta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22345}% +$\tan^{3} \zeta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22353}% +$\tan^{-1} 1$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22355}% +$45^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22357}% +$\tan^{-1} 4$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22359}% +$\sim 76^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22363}% +$\zeta<80^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22365}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.01$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22367}% +$\zeta<60^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22371}% +$\zeta<45^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22628}% +$\sim\!76^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22638}% +$25^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22640}% +$50^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22642}% +$75^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22656}% +$-10^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22658}% +$+20^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22660}% +$280^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22666}% +$2\mu{\rm m}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22678}% +$6.5^\circ K km^{-1}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22690}% +$7^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22698}% +$\tan^5$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22702}% +$\beta~(=H_0/r_0)$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22706}% +$\beta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22933}% +$70^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22935}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.05$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22947}% +$93^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22949}% +$=93^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22955}% +$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22957}% +$80^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22959}% +$\nu=p_w/p_s$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline22961}% +$\nu=\rho_w/\rho_s$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23162}% +$30^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23164}% +$\zeta=70^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23168}% +$\zeta_{obs}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23172}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.4$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23174}% +$81^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23176}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23178}% +$82^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23180}% +$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.6$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23182}% +$83^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23186}% +$84^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23188}% +$7\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23190}% +$85^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23194}% +$86^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23196}% +$45\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23198}% +$87^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23200}% +$150\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23202}% +$88^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23204}% +$340\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23206}% +$89^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23208}% +$620\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23212}% +$1100\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23214}% +$91^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23216}% +$1900\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23220}% +$92^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23222}% +$3200\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23228}% +$\zeta=84^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23469}% +$\zeta=80^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23471}% +$\zeta=83^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmldisplayA{displaymath23457}% +\begin{displaymath}\Delta \zeta = F \left( + \frac{0^\circ\hspace{-0.37em}.\hspace{0.02em}55445 + - 0^\circ\hspace{-0.37em}.\hspace{0.02em}01133 E + + 0^\circ\hspace{-0.37em}.\hspace{0.02em}00202 E^2} + {1 + 0.28385 E +0.02390 E^2} \right) \end{displaymath}% +\lthtmldisplayZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23475}% +$E=90^\circ-\zeta_{true}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23495}% +$1\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.5$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23499}% +$3\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.2$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23503}% +$4\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.9$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23507}% +$5\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.8$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23511}% +$6\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23515}% +$7\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.1$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23523}% +$21\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23527}% +$43\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23531}% +$92\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23537}% +$220\hspace{-0.05em}^{'\hspace{-0.1em}'}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23720}% +$l^{I\!I}=90^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23722}% +$b^{I\!I}=0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23896}% +$l^{I\!I}=53^{\circ},b^{I\!I}=+25^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline23995}% +$\alpha=18^{\rm h},\delta=+30^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline24798}% +$\times n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline24800}% +$m \geq n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline24802}% +$m \times n$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline24806}% +$w_{ii} \geq 0$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline25275}% +$\cdot~[diag(1/$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline25277}% +$_{j})] + \cdot ($% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} + +\setlength {\parskip}{\medskipamount} +% + +\stepcounter{subsection} + +\setlength {\parskip}{\medskipamount} +% + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline26731}% +$2^{\circ} + \hspace{-0.37em}.\hspace{0.02em}4$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline26733}% +$42^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27323}% +$0\!-\!\pi$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{section} +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27383}% +$61^\circ$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsubsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27391}% +$+1^{\circ}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27397}% +$24^{h}\,59^{m}\,59^{s}.999$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27464}% +$[\,\theta,\phi~]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsubsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27478}% +$[\,\Delta x,\Delta y, \Delta z\,]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27484}% +${\bf D}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27486}% +${\bf V1}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27488}% +${\bf V2}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27490}% +$<{\bf V1}+{\bf D}>$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27492}% +$(1-{\bf D}\cdot{\bf V1})$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27494}% +$\delta E$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27498}% +${\tan \delta E\approx\delta E}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27504}% +$\delta E \cos E$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27506}% +$\delta E \sin E$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27512}% +$\cos \delta E$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27514}% +$(1-\delta E^2 /2)$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27518}% +$\equiv$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27524}% +$[\theta,\phi,\dot{\theta},\dot{\phi}]$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27750}% +$\lambda,\beta$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27752}% +$l^{I\!I},b^{I\!I}$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlfigureA{figure27550}% +\begin{figure}\begin{center} +\begin{tabular}{|cccccc|} \hline +& & & & & \\\hspace{5em} & \hspace{5em} & \hspace{5em} & + \hspace{5em} & \hspace{5em} & \hspace{5em} \\\multicolumn{2}{|c}{\hspace{0em} +\fbox {\parbox{8.5em}{\center \vspace{-2ex} + mean $[\,\alpha,\delta\,]$, FK4, \\ any equinox + \vspace{0.5ex}}} +} & + \multicolumn{2}{c}{\hspace{0em} +\fbox {\parbox{8.5em}{\center \vspace{-2ex} + mean $[\,\alpha,\delta\,]$, FK4, + no $\mu$, any equinox + \vspace{0.5ex}}} +} & +\multicolumn{2}{c|}{\hspace{0em} +\fbox {\parbox{8.5em}{\center \vspace{-2ex} + mean $[\,\alpha,\delta\,]$, FK5, \\ any equinox + \vspace{0.5ex}}} +} \\& \multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{} & \\\multicolumn{2}{|c}{space motion} & \multicolumn{1}{c|}{} & & + \multicolumn{2}{c|}{space motion} \\\multicolumn{2}{|c}{-- E-terms} & + \multicolumn{2}{c}{-- E-terms} & \multicolumn{1}{c|}{} & \\\multicolumn{2}{|c}{precess to B1950} & \multicolumn{2}{c}{precess to B1950} & + \multicolumn{2}{c|}{precess to J2000} \\\multicolumn{2}{|c}{+ E-terms} & + \multicolumn{2}{c}{+ E-terms} & \multicolumn{1}{c|}{} & \\\multicolumn{2}{|c}{FK4 to FK5, no $\mu$} & + \multicolumn{2}{c}{FK4 to FK5, no $\mu$} & \multicolumn{1}{c|}{} & \\\multicolumn{2}{|c}{parallax} & \multicolumn{1}{c|}{} & & + \multicolumn{2}{c|}{parallax} \\& \multicolumn{2}{|c|}{} & \multicolumn{2}{c|}{} & \\ \cline{2-5} +\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {\parbox{18em}{\center \vspace{-2ex} + FK5, J2000, current epoch, geocentric + \vspace{0.5ex}}} +} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{light deflection} & \\& \multicolumn{4}{c}{annual aberration} & \\& \multicolumn{4}{c}{precession/nutation} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {Apparent $[\,\alpha,\delta\,]$} +} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{Earth rotation} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {Apparent $[\,h,\delta\,]$} +} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{diurnal aberration} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {Topocentric $[\,h,\delta\,]$} +} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{$[\,h,\delta\,]$\ to $[\,Az,El~]$} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {Topocentric $[\,Az,El~]$} +} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{refraction} & \\\multicolumn{3}{|c|}{} & & & \\& \multicolumn{4}{c}{ +\fbox {Observed $[\,Az,El~]$} +} & \\& & & & & \\& & & & & \\ \hline +\end{tabular} +\end{center} +\vspace{-0.5ex} +Star positions are published or catalogued using +one of the mean $[\,\alpha,\delta\,]$\ systems shown at +the top. The ``FK4'' systems +were used before about 1980 and are usually +equinox B1950. The ``FK5'' system, equinox J2000, is now preferred, +or rather its modern equivalent, the International Celestial Reference +Frame (in the optical, the Hipparcos catalogue). +The figure relates a star's mean $[\,\alpha,\delta\,]$\ to the actual +line-of-sight to the star. +Note that for the conventional choices of equinox, namely +B1950 or J2000, all of the precession and E-terms corrections +are superfluous. +\end{figure}% +\lthtmlfigureZ +\hfill\lthtmlcheckvsize\clearpage} + +\stepcounter{subsection} +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27878}% +$23^{\circ} + \hspace{-0.37em}.\hspace{0.02em}5$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27888}% +$\epsilon$% +\lthtmlinlinemathZ +\hfill\lthtmlcheckvsize\clearpage} + +{\newpage\clearpage +\lthtmlinlinemathA{tex2html_wrap_inline27890}% +$0\hspace{-0.05em}^{'\hspace{-0.1em}'}\hspace{-0.4em}.0001$% +\lthtmlinlinemathZ 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{\leftmargin}{2cm} +% + + +\setlength {\parsep}{\smallskipamount} +% + + +\setlength {\leftmargin}{2cm} +% + + +\setlength {\parsep}{\smallskipamount} +% + + +\setlength {\leftmargin}{2cm} +% + + +\setlength {\parsep}{\smallskipamount} +% + + +\end{document} |