Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.stsci.edu/ftp/software/tex/aasmacros/aaspp4.sty Дата изменения: Tue Aug 15 00:29:43 1995 Дата индексирования: Sun Dec 23 00:34:03 2007 Кодировка: Поисковые слова: п п п п п п п п п п п п п п п п п п п п п п п п п п п р п р п р п р п р п р п р п р п р п р п р п р п р п р п р п

% Converted by doc2sty Mon May 15 13:45:55 PDT 1995.
% This file is not intended for human consumption.
% AASPP4.STY -- AAS preprint substyle definition for LaTeX.

\def\revtex@ver{4.0}
\def\revtex@date{25 Apr 95}
\def\revtex@org{AAS}
\def\revtex@jnl{AAS}
\def\revtex@genre{preprint}
\typeout{\revtex@org\space \revtex@genre\space substyle,
v\revtex@ver\space <\revtex@date>.}
\def\revtex@pageid{\xdef\@thefnmark{\null}
\@footnotetext{This \revtex@genre\space was prepared with the
\revtex@org\space \LaTeX\ macros v\revtex@ver.}}
\def\genre@MS{manuscript}
\def\genre@PP{preprint}
\ifx\revtex@genre\genre@PP
\ifnum\@ptsize<1
\typeout{Warning: Undersize \revtex@genre\space font (1\@ptsize\space pts).
Use 11pt or 12pt documentstyle option.}
\fi
\fi
\def\ps@plaintop{\let\@mkboth\@gobbletwo
\def\@oddfoot{}\def\@oddhead{\rm\hfil--\space\thepage\space--\hfil}
\def\@evenfoot{}\let\@evenhead\@oddhead}
\ps@plaintop
\pretolerance=10000
\@rightskip=\z@ plus 4em\rightskip\@rightskip
\textwidth=6.5in
\textheight=8.4in
\topmargin=0in
\headheight=.15in
\headsep=.35in
\oddsidemargin=0in
\evensidemargin=0in
\parindent=2em
\parskip=1.5ex
\def\@tightleading{1.1}
\def\@doubleleading{1.6}
\def\baselinestretch{\@doubleleading}
\def\tighten{\def\baselinestretch{\@tightleading}}
\let\tightenlines=\tighten
\def\singlespace{\def\baselinestretch{\@tightleading}\normalsize}
\def\doublespace{\def\baselinestretch{\@doubleleading}\normalsize}
\def\sec@upcase#1{\relax{#1}}
\def\eqsecnum{
\@newctr{equation}[section]
\def\theequation{\hbox{\normalsize\arabic{section}-\arabic{equation}}}}
\tighten
\def\@journalname{The Astropolitical Journal}
\def\cpr@holder{American Astronomical Society}
\def\received#1{\gdef\@recvdate{#1}} \received{}
\def\accepted#1{\gdef\@accptdate{#1}} \accepted{}
\def\revised#1{\gdef\@revisedate{#1}} \revised{}
\def\journalid#1#2{\gdef\@jourvol{#1}\gdef\@jourdate{#2}}
\def\articleid#1#2{\gdef\@startpage{#1}\gdef\@finishpage{#2}}
\def\paperid#1{\gdef\@paperid{#1}} \paperid{MS-0001-SAMP}
\def\ccc#1{\gdef\CCC@code{#1}} \ccc{000-00\$75.95-CDB}
\def\cpright#1#2{\@nameuse{cpr@#1} \gdef\cpr@year{#2}
\typeout{`#1' copyright \cpr@year.}}
\newcount\@cprtype \@cprtype=\@ne
\def\cpr@AAS{\@cprtype=1}
\def\cpr@PD{\@cprtype=2}
\def\cpr@Crown{\@cprtype=3}
\def\cpr@none{\@cprtype=4}
\def\cpr@ASP{\@cprtype=5}
\def\cpr@year{\number\year}
\def\@slug{\par\noindent
\ifcase\@cprtype
\relax
\or
Copyright \cpr@year\space by the \cpr@holder.
\or
This article is in the public domain.
\or
Crown copyright \cpr@year\space by the \cpr@holder.
\or
No copyright is claimed for this article.
\or
Copyright \cpr@year\space by the ASP.
\fi
\par\noindent
Manuscript number \@paperid.\par\noindent
\CCC@code
}
\def\lefthead#1{\gdef\@versohead{#1}} \lefthead{\relax}
\def\righthead#1{\gdef\@rectohead{#1}} \righthead{\relax}
%
%
\def\@runheads{\@tempcnta\c@page
\@whilenum \@tempcnta >0\do{
\vskip 3ex
\hbox to30pc{\small\expandafter\uppercase\expandafter{\@versohead}:
\expandafter\uppercase\expandafter{\@rectohead}\hfil}
\advance\@tempcnta by\m@ne}
}
\def\slugcomment#1{\gdef\slug@comment{#1}} \slugcomment{}
\newdimen\@slugcmmntwidth \@slugcmmntwidth .67\textwidth
\long\def\@makeslugcmmnt{\ifx\slug@comment\@empty\relax\else
\setbox\@tempboxa\hbox{\slug@comment}
\ifdim \wd\@tempboxa >\@slugcmmntwidth
\hbox to\textwidth{\hss
\parbox\@slugcmmntwidth\slug@comment}
\else
\hbox to\textwidth{\hfil\box\@tempboxa}
\fi
\vskip 2ex
\fi}
\def\@rcvaccrule{\vrule\@width1.75in\@height0.5pt\@depth\z@}
\def\@dates{{Received}\space%
\ifx\@empty\@recvdate\@rcvaccrule\else\@recvdate\fi;%
\hspace{1.5em}{accepted}\space%
\ifx\@empty\@accptdate\@rcvaccrule\else\@accptdate\fi%
}
\def\sluginfo{{\center
\@dates
\endcenter}}
\let\dates=\sluginfo
\def\abstract{
\begin{center}
{\bf{ABSTRACT}}
\end{center}
\quotation
}
\def\title#1{\@makeslugcmmnt{\center\large\bf{#1}\endcenter}
\thispagestyle{empty}}
\def\author#1{{\topsep\z@\center\normalsize#1\endcenter}}
\let\authoraddr=\@gobble
\let\authoremail=\@gobble
\def\affil#1{\vspace*{-2.5ex}{\topsep\z@\center#1\endcenter}}
\def\altaffilmark#1{$^{#1}$}
\def\altaffiltext#1#2{\footnotetext[#1]{#2}\stepcounter{footnote}}
\def\and{\vspace*{-0.5ex}{\topsep\z@\center and\endcenter}}
\def\@keywordtext{Subject headings}
\def\@keyworddelim{---}
\def\keywords#1{\vspace*{-.7ex}
\if@twocolumn\noindent{{\it\@keywordtext:\/}\space\@kwds{#1}}
\else{\quote{\it\@keywordtext:\/}\space\@kwds{#1}\endquote}
\fi}
\let\subjectheadings=\keywords
\def\@kwds#1{#1\relax}
\skip\footins 4ex plus 1ex minus .5ex
\footnotesep 3ex
\def\notetoeditor#1{}%
\newif\if@firstsection \@firstsectiontrue
\def\section{\if@firstsection
\@firstsectionfalse\fi
\@startsection {section}{1}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\bf}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\it}}
\def\thesection{\@arabic{\c@section}}
\def\thesubsection{\thesection.\@arabic{\c@subsection}}
\def\thesubsubsection{\thesubsection.\@arabic{\c@subsubsection}}
\def\theparagraph{\thesubsubsection.\@arabic{\c@paragraph}}
\def\acknowledgments{\vskip 3ex plus .8ex minus .4ex}
\let\acknowledgements=\acknowledgments
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
\def\@svsec{}\else
\refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname.\hskip 1em }\fi
\@tempskipa #5\relax
\ifdim \@tempskipa>\z@
\begingroup \centering#6\relax
\@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M
\sec@upcase{#8}\par}%
\endgroup
\csname #1mark\endcsname{#7}\addcontentsline
{toc}{#1}{\ifnum #2>\c@secnumdepth \else
\protect\numberline{\csname the#1\endcsname}\fi
#7}\else
\def\@svsechd{#6\hskip #3\@svsec \sec@upcase{#8}\csname #1mark\endcsname
{#7}\addcontentsline
{toc}{#1}{\ifnum #2>\c@secnumdepth \else
\protect\numberline{\csname the#1\endcsname}\fi
#7}}\fi
\@xsect{#5}}
\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
\ifdim \@tempskipa>\z@
\begingroup #4\centering\@hangfrom{\hskip #1}{\interlinepenalty \@M
\sec@upcase{#5}\par}\endgroup
\else \def\@svsechd{#4\hskip #1\relax \sec@upcase{#5}}\fi
\@xsect{#3}}
\def\appendix{\par
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{equation}{0}
\def\thesection{\Alph{section}}
\@ifundefined{documentclass}
{\def\theequation{\normalsize\hbox{\Alph{section}\arabic{equation}}}}
{\def\theequation{\hbox{\Alph{section}\arabic{equation}}}}
\def\section{\setcounter{equation}{0}
\@startsection {section}{1}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\bf}}}
\newcounter{cureqno}
\newenvironment{mathletters}{\refstepcounter{equation}%
\setcounter{cureqno}{\value{equation}}%
\let\@curtheeqn\theequation%
\edef\cur@eqn{\theequation}%
\def\theequation{\cur@eqn\alph{equation}}%
\setcounter{equation}{0}}%
{\let\theequation\@curtheeqn%
\setcounter{equation}{\value{cureqno}}}
\def\eqnum#1{\def\theequation{#1}\let\@currentlabel\theequation
\addtocounter{equation}{\m@ne}}
\def\references{\subsection*{REFERENCES}
\bgroup\parindent=\z@\parskip=\itemsep
\def\refpar{\par\hangindent=3em\hangafter=1}}
\def\endreferences{\refpar\egroup\revtex@pageid}
\def\thebibliography#1{\subsection*{REFERENCES}
\list{\null}{\leftmargin 3em\labelwidth\z@\labelsep\z@\itemindent -3em
\usecounter{enumi}}
\def\refpar{\relax}
\def\newblock{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
\def\endthebibliography{\endlist\revtex@pageid}
\def\@biblabel#1{\relax}
\def\@cite#1#2{#1\if@tempswa , #2\fi}
\def\reference{\@ifnextchar\bgroup {\@reference}
{\@latexerr{Missing key on reference command}
{Each reference command should have a key corresponding to a markcite somewhere in the text}}}
\def\@reference#1{\relax\refpar}
\def\markcite{\@ifnextchar\bgroup{\@markcite}
{\@latexerr{Missing key on markcite command}
{Each markcite command should have a key corresponding to a reference somewhere in the references section}}}
\def\@markcite#1{\relax}
\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
\def\@citea{}\@cite{\@for\@citeb:=#2\do
{\@citea\def\@citea{,\penalty\@m\ }\@ifundefined
{b@\@citeb}{\@warning
{Citation `\@citeb' on page \thepage \space undefined}}%
{\csname b@\@citeb\endcsname}}}{#1}}
\setcounter{topnumber}{7}
\def\tablenotemark#1{\rlap{$^{\rm #1}$}}
\newtoks\@temptokenb
\def\tblnote@list{}
\def\tablenotetext#1#2{
\@temptokena={\vspace{.5ex}{\noindent\llap{$^{#1}$}#2}\par}
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\def\spew@tblnotes{
\ifx\tblnote@list\@empty\relax
\else
\vspace{4.5ex}
\footnoterule
\vspace{.5ex}
{\footnotesize\tblnote@list}
\gdef\tblnote@list{}
\fi}
\def\endtable{\spew@tblnotes\end@float}
\@namedef{endtable*}{\spew@tblnotes\end@dblfloat}
\let\tableline=\hline
\long\def\@makecaption#1#2{\vskip 2ex\noindent #1 #2\par}
\def\tablenum#1{\def\thetable{#1}\let\@currentlabel\thetable
\addtocounter{table}{\m@ne}}
\def\figurenum#1{\def\thefigure{#1}\let\@currentlabel\thefigure
\addtocounter{figure}{\m@ne}}
\let\placetable=\@gobble
\let\placefigure=\@gobble
\let\placeplate=\@gobble
\def\figcaption{\@ifnextchar[{\@xfigcaption}{\@figcaption}}
\def\@figcaption#1{{\def\@captype{figure}\caption{#1}}}
\def\@xfigcaption[#1]#2{{\def\@captype{figure}\caption{#2}}}
\def\dummytable{\refstepcounter{table}}
\newbox\pt@box
\newdimen\pt@width
\newcount\pt@line
\newcount\pt@column
\newcount\pt@nlines
\newcount\pt@ncol
\newcount\pt@page
\def\colhead#1{\multicolumn{1}{c}{#1}\pt@addcol}
\def\tablecolumns#1{\pt@column=#1\pt@ncol=#1\gdef\pt@addcol{\relax}}
\def\tablecaption#1{\gdef\pt@caption{#1}} \def\pt@caption{\relax}
\def\tablehead#1{\gdef\pt@head{\hline\hline\relax\\[-1.7ex]
#1\hskip\tabcolsep\\[.7ex]\hline\relax\\[-1.5ex]}} \def\pt@head{\relax}
\def\tabletail#1{\gdef\pt@tail{#1}} \def\pt@tail{\relax}
\def\tablewidth#1{\pt@width=#1} \pt@width\textwidth
\def\tableheadfrac#1{\gdef\pt@headfrac{#1}} \def\pt@headfrac{.1}
\def\pt@calcnlines{\@tempdima\pt@headfrac\textheight
\@tempdimb\textheight\advance\@tempdimb by-\@tempdima
\@tempdima\arraystretch\baselineskip
\divide\@tempdimb by\@tempdima
\global\pt@nlines\@tempdimb}
\def\pt@tabular{\hbox \bgroup $\let\@acol\@ptabacol
\let\@classz\@tabclassz
\let\@classiv\@tabclassiv \let\\\@tabularcr\@tabarray}
\def\@ptabacol{\edef\@preamble{\@preamble \hskip \tabcolsep\tabskip\fill}}
\def\fnum@ptable{Table \thetable}
\def\fnum@ptablecont{Table \thetable---{\rm Continued}}
\newdimen\pt@tmpcapwidth
\def\set@mkcaption{\long\def\@makecaption##1##2{\ifdim\pt@width>\z@%
\pt@tmpcapwidth\pt@width\else\pt@tmpcapwidth\textwidth\fi%
\center\parbox{\pt@tmpcapwidth}{\center\rm##1.\quad##2\endcenter}%
\endcenter}}
\def\set@mkcaptioncont{\long\def\@makecaption##1##2{
\center\rm##1\endcenter\vskip 2.5ex}}
\newenvironment{deluxetable}[1]{\def\pt@format{\string#1}%
\set@tblnotetext\global\pt@ncol=0\global\pt@column=0\global\pt@page=1%
\def\pt@addcol{\global\advance\pt@ncol by\@ne}}%
{%
\pt@width\wd\pt@box\box\pt@box\spew@ptblnotes%
\typeout{Page \the\pt@page\space of table \thetable\space has been set to
width \the\pt@width\space with \the\pt@nlines\space lines per page}%
\endcenter\end@float}
\let\planotable=\deluxetable
\let\endplanotable=\enddeluxetable
\def\startdata{\pt@line=0\pt@calcnlines%
\ifdim\pt@width>\z@\def\@halignto{to \pt@width}\else\def\@halignto{}\fi%
\let\fnum@table=\fnum@ptable\set@mkcaption%
\@float{table}\center\caption{\pt@caption}\leavevmode%
\setbox\pt@box=\pt@tabular{\pt@format}\pt@head}
\def\enddata{\crcr\noalign{\vskip .7ex}\hline\endtabular}
\def\pt@nl{\global\advance\pt@line by\@ne%
\ifnum\pt@line=\pt@nlines%
\endtabular\pt@width\wd\pt@box\box\pt@box
\typeout{Page \the\pt@page\space of table \thetable\space has been set to
width \the\pt@width}%
\global\advance\pt@page by\@ne%
\endcenter\end@float\clearpage%
\addtocounter{table}{\m@ne}%
\let\fnum@table=\fnum@ptablecont\set@mkcaptioncont%
\@float{table}\center\caption{\pt@caption}\leavevmode%
\global\pt@ncol=\pt@column
\global\pt@line=0%
\setbox\pt@box=\pt@tabular{\pt@format}\pt@head%
\else\\
\fi}
\let\nl=\pt@nl
\let\nextline=\pt@nl
\def\tablevspace#1{\noalign{\vskip#1}}
\def\tablebreak{\pt@line\pt@nlines\advance\pt@line by\m@ne\pt@nl}
\def\cutinhead#1{\noalign{\vskip 1.5ex}
\hline\pt@nl\noalign{\vskip -2.0ex}
\multicolumn{\pt@ncol}{c}{#1}\pt@nl
\noalign{\vskip .8ex}
\hline\pt@nl\noalign{\vskip -2ex}}
\def\sidehead#1{\noalign{\vskip 1.5ex}
\multicolumn{\pt@ncol}{@{\hskip\z@}l}{#1}\pt@nl
\noalign{\vskip .5ex}}
\def\set@tblnotetext{\def\tablenotetext##1##2{{%
\@temptokena={{\parbox{\pt@width}{\hskip1em$^{\rm ##1}$##2}}\par}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}}}
\def\spew@ptblnotes{
\ifx\tblnote@list\@empty\relax
\else
\par
\vspace{2ex}
{\parskip=1.5ex%
\tblnote@list}
\gdef\tblnote@list{}
\fi}
\def\tablerefs#1{\@temptokena={\vspace*{3ex}{%
\parbox{\pt@width}{\hskip1em\rm References. --- #1}\par}}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\def\tablecomments#1{\@temptokena={\vspace*{3ex}{%
\parbox{\pt@width}{\hskip1em\rm Note. --- #1}\par}}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\newcounter{plate}
\def\theplate{\@arabic\c@plate}
\def\fps@plate{bp}
\def\ftype@plate{4}
\def\ext@plate{lof}
\def\fnum@plate{{\bf Plate \theplate.}}
\def\plate{\@float{plate}}
\let\endplate\end@float
\@namedef{plate*}{\@dblfloat{plate}}
\@namedef{endplate*}{\end@dblfloat}
\let\platewidth=\tablewidth
\def\platenum#1{\def\theplate{#1}\let\@currentlabel\theplate
\addtocounter{plate}{\m@ne}}
\def\thefigure{\@arabic\c@figure}
\def\fnum@figure{{\rm Fig.\space\thefigure.---}}
\def\thetable{\@arabic\c@table}
\def\fnum@table{{\rm Table \thetable:}}
\def\fps@figure{bp}
\def\fps@table{bp}
\@ifundefined{epsfbox}{\@input{epsf.sty}}{\relax}
\def\eps@scaling{.95}
\def\epsscale#1{\gdef\eps@scaling{#1}}
\def\plotone#1{\centering \leavevmode
\epsfxsize=\eps@scaling\columnwidth \epsfbox{#1}}
\def\plottwo#1#2{\centering \leavevmode
\epsfxsize=.45\columnwidth \epsfbox{#1} \hfil
\epsfxsize=.45\columnwidth \epsfbox{#2}}
\def\plotfiddle#1#2#3#4#5#6#7{\centering \leavevmode
\vbox to#2{\rule{0pt}{#2}}
\special{psfile=#1 voffset=#7 hoffset=#6 vscale=#5 hscale=#4 angle=#3}}
\let\jnl@style=\rm
\def\ref@jnl#1{{\jnl@style#1}}
\def\aj{\ref@jnl{AJ}}
\def\araa{\ref@jnl{ARA\&A}}
\def\apj{\ref@jnl{ApJ}}
\def\apjl{\ref@jnl{ApJ}}
\def\apjs{\ref@jnl{ApJS}}
\def\ao{\ref@jnl{Appl.~Opt.}}
\def\apss{\ref@jnl{Ap\&SS}}
\def\aap{\ref@jnl{A\&A}}
\def\aapr{\ref@jnl{A\&A~Rev.}}
\def\aaps{\ref@jnl{A\&AS}}
\def\azh{\ref@jnl{AZh}}
\def\baas{\ref@jnl{BAAS}}
\def\jrasc{\ref@jnl{JRASC}}
\def\memras{\ref@jnl{MmRAS}}
\def\mnras{\ref@jnl{MNRAS}}
\def\pra{\ref@jnl{Phys.~Rev.~A}}
\def\prb{\ref@jnl{Phys.~Rev.~B}}
\def\prc{\ref@jnl{Phys.~Rev.~C}}
\def\prd{\ref@jnl{Phys.~Rev.~D}}
\def\pre{\ref@jnl{Phys.~Rev.~E}}
\def\prl{\ref@jnl{Phys.~Rev.~Lett.}}
\def\pasp{\ref@jnl{PASP}}
\def\pasj{\ref@jnl{PASJ}}
\def\qjras{\ref@jnl{QJRAS}}
\def\skytel{\ref@jnl{S\&T}}
\def\solphys{\ref@jnl{Sol.~Phys.}}
\def\sovast{\ref@jnl{Soviet~Ast.}}
\def\ssr{\ref@jnl{Space~Sci.~Rev.}}
\def\zap{\ref@jnl{ZAp}}
\def\nat{\ref@jnl{Nature}}
\def\iaucirc{\ref@jnl{IAU~Circ.}}
\def\aplett{\ref@jnl{Astrophys.~Lett.}}
\def\apspr{\ref@jnl{Astrophys.~Space~Phys.~Res.}}
\def\bain{\ref@jnl{Bull.~Astron.~Inst.~Netherlands}}
\def\fcp{\ref@jnl{Fund.~Cosmic~Phys.}}
\def\gca{\ref@jnl{Geochim.~Cosmochim.~Acta}}
\def\grl{\ref@jnl{Geophys.~Res.~Lett.}}
\def\jcp{\ref@jnl{J.~Chem.~Phys.}}
\def\jgr{\ref@jnl{J.~Geophys.~Res.}}
\def\jqsrt{\ref@jnl{J.~Quant.~Spec.~Radiat.~Transf.}}
\def\memsai{\ref@jnl{Mem.~Soc.~Astron.~Italiana}}
\def\nphysa{\ref@jnl{Nucl.~Phys.~A}}
\def\physrep{\ref@jnl{Phys.~Rep.}}
\def\physscr{\ref@jnl{Phys.~Scr}}
\def\planss{\ref@jnl{Planet.~Space~Sci.}}
\def\procspie{\ref@jnl{Proc.~SPIE}}
\let\astap=\aap
\let\apjlett=\apjl
\let\apjsupp=\apjs
\let\applopt=\ao
\def\phn{\phantom{0}}
\def\phd{\phantom{.}}
\def\phs{\phantom{$-$}}
\def\phm#1{\phantom{#1}}
\def\sun{\hbox{$\odot$}}
\def\earth{\hbox{$\oplus$}}
\def\lesssim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$<$}}}}
\def\gtrsim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$>$}}}}
\def\sq{\hbox{\rlap{$\sqcap$}$\sqcup$}}
\def\arcdeg{\hbox{$^\circ$}}
\def\arcmin{\hbox{$^\prime$}}
\def\arcsec{\hbox{$^{\prime\prime}$}}
\def\fd{\hbox{$.\!\!^{\rm d}$}}
\def\fh{\hbox{$.\!\!^{\rm h}$}}
\def\fm{\hbox{$.\!\!^{\rm m}$}}
\def\fs{\hbox{$.\!\!^{\rm s}$}}
\def\fdg{\hbox{$.\!\!^\circ$}}
\def\farcm{\hbox{$.\mkern-4mu^\prime$}}
\def\farcs{\hbox{$.\!\!^{\prime\prime}$}}
\def\fp{\hbox{$.\!\!^{\scriptscriptstyle\rm p}$}}
\def\micron{\hbox{$\mu$m}}
\let\la=\lesssim
\let\ga=\gtrsim
\def\case#1#2{\hbox{$\frac{#1}{#2}$}}
\def\slantfrac#1#2{\hbox{$\,^#1\!/_#2$}}
\def\onehalf{\slantfrac{1}{2}}
\def\onethird{\slantfrac{1}{3}}
\def\twothirds{\slantfrac{2}{3}}
\def\onequarter{\slantfrac{1}{4}}
\def\threequarters{\slantfrac{3}{4}}
\def\ubvr{\hbox{$U\!BV\!R$}}
\def\ub{\hbox{$U\!-\!B$}}
\def\bv{\hbox{$B\!-\!V$}}
\def\vr{\hbox{$V\!-\!R$}}
\def\ur{\hbox{$U\!-\!R$}}
\def\ion#1#2{#1$\;${\small\rm\@Roman{#2}}\relax}
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