\NeedsTeXFormat{LaTeX2e}[1995/12/01]\ProvidesClass{aastex} [2005/06/22 5.2/AAS markup document class]\def\substitute@option#1#2{ \ClassWarning{aastex}{ Substyle #1 is deprecated in aastex.
Using #2 instead (please fix your document).
}\@nameuse{ds@#2}}\ClassInfo{aastex}{ Original \protect\LaTeX2.09 style
by Chris Biemesderfer (chris@seagoat.com).
Adapted to \protect\LaTeXe\space
by A. Ogawa (ogawa@teleport.com)}\newif\iflong@abstract
\global\long@abstractfalse
\DeclareOption{10pt}{\newcommand\aas@ptsize{0}}\DeclareOption{11pt}{\newcommand\aas@ptsize{1}}\DeclareOption{12pt}{\newcommand\aas@ptsize{2}}\DeclareOption{landscape}{\OptionNotUsed}\DeclareOption{eqsecnum}{\AtEndOfClass{\eqsecnum}}
\DeclareOption{longabstract}{\global\long@abstracttrue}
\DeclareOption{flushrt}{\let\opt@just\just@just}\let\opt@just\@empty
\def\just@just{ \@rightskip\z@skip
\rightskip\@rightskip
\pretolerance=100\relax
}\DeclareOption{tighten}{\def\opt@tighten{\tightenlines}}\let\opt@tighten\@empty
\DeclareOption{manuscript}{\def\aas@substyle{manuscript}\long@abstractfalse}
\DeclareOption{preprint}{\def\aas@substyle{preprint}\long@abstractfalse}
\DeclareOption{preprint2}{\def\aas@substyle{preprint2}\@twocolumntrue}
\DeclareOption{aasms4}{\substitute@option{aasms4}{manuscript}}\DeclareOption{aaspp4}{\substitute@option{aaspp4}{preprint}}\DeclareOption{aas2pp4}{\substitute@option{aas2pp4}{preprint2}}\DeclareOption{aj_pt4}{\substitute@option{aj_pt4}{preprint}}\DeclareOption{apjpt4}{\substitute@option{apjpt4}{preprint}}\def\aas@substyle{manuscript}\AtEndOfPackage{ \@nameuse{aas@\aas@substyle}}\DeclareOption{astro}{\AtBeginDocument{\load@astro}}\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}\ExecuteOptions{letterpaper,oneside,onecolumn,final}\ProcessOptions\relax
\@namedef{aas@size@manuscript}{ \def\aas@ptsize{2} \pass@aassize
}\@namedef{aas@size@preprint}{ \ifx\undefined\aas@ptsize\expandafter\@firstoftwo\else\expandafter\@secondoftwo\fi
{\def\aas@ptsize{1}}{} \pass@aassize
}\@namedef{aas@size@preprint2}{ \ifx\undefined\aas@ptsize\expandafter\@firstoftwo\else\expandafter\@secondoftwo\fi
{\def\aas@ptsize{0}}{} \pass@aassize
}\def\pass@aassize{ \expandafter\PassOptionsToClass\expandafter{\expandafter1\aas@ptsize pt}{article}}\@nameuse{aas@size@\aas@substyle}\LoadClass{article}[1995/12/01]\RequirePackage{latexsym}\RequirePackage{graphicx}\RequirePackage{amssymb}\RequirePackage{natbib}\newcommand{\bibstyle@aas}{\bibpunct{(}{)}{;}{a}{}{,}}
\@citestyle{aas}
\RequirePackage{verbatim}\def\@to{to}\newcommand\ulap[1]{\vbox\@to\z@{{\vss#1}}}\newcommand\dlap[1]{\vbox\@to\z@{{#1\vss}}}\newcommand\let@environment[2]{ \expandafter\let
\csname#1\expandafter\endcsname\csname#2\endcsname
\expandafter\let
\csname end#1\expandafter\endcsname\csname end#2\endcsname
}\newcommand\say[1]{\typeout{<\noexpand#1=\meaning#1>}}\newcommand\saythe[1]{\typeout{<\noexpand#1=\the#1>}}\newcommand\tracingplain{ \tracingonline\z@\tracingcommands\z@\tracingstats\z@
\tracingpages\z@\tracingoutput\z@\tracinglostchars\@ne
\tracingmacros\z@\tracingparagraphs\z@\tracingrestores\z@
\showboxbreadth5\showboxdepth3\relax }\newcommand\traceoutput{ \appdef\@resetactivechars{\showoutput}}\newcommand\nohyphenation{\kern\z@}\newcommand\offhyphenation{ \lefthyphenmin\maxdimen\emergencystretch8\p@
}\def\substitute@command#1#2{ \ClassWarning{aastex}{ Command \protect#1\space is deprecated in aastex.
Using \protect#2\space instead (please fix your document).
} #2}\def\remove@command#1{ \ClassWarning{aastex}{ Command \protect#1\space is deprecated in aastex.
Please remove it from your document }}\def\@provide#1{ \@ifxundefined#1{\def#1}{\def\@tempa}}\def\prepdef#1#2{ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}} \toks@ii{#2} \edef#1{\the\toks@ii\the\toks@}}\def\appdef#1#2{ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}} \toks@ii{#2} \edef#1{\the\toks@\the\toks@ii}}\def\appgdef#1#2{ \@ifxundefined#1{\toks@{}}{\toks@\expandafter{#1}} \toks@ii{#2} \xdef#1{\the\toks@\the\toks@ii}}\toksdef\toks@ii=\tw@
\long\def\@ifxundefined#1{\@ifx{\undefined#1}}\def\@boolean#1#2{ \long\def#1{ #2 \expandafter\boolean@true
\else
\expandafter\boolean@false
\fi
}}\def\@boole@def#1#{\@boolean{#1}}\@boole@def\@ifx#1{\ifx#1}\@boole@def\@ifx@empty#1{\ifx\@empty#1}\@boole@def\@ifnum#1{\ifnum#1}\@boole@def\@ifdim#1{\ifdim#1}\@boole@def\@ifvoid#1{\ifvoid#1}\long\def\boolean@true#1#2{#1}\long\def\boolean@false#1#2{#2}\renewcommand\addpenalty[1]{ \ifvmode
\if@minipage
\else
\if@nobreak
\else
\ifinner
\@tempskipa\lastskip \unskip
\@tempcnta\lastpenalty \unpenalty
\ifnum#1<\@tempcnta
\penalty#1\relax
\else
\penalty\@tempcnta
\fi
\vskip\@tempskipa
\else
\ifdim\lastskip=\z@
\penalty#1\relax
\else
\@tempskipb\lastskip
\vskip-\lastskip
\penalty#1 \vskip\@tempskipb
\fi
\fi
\fi
\fi
\else
\@noitemerr
\fi
}\renewcommand\addvspace[1]{ \ifvmode
\if@minipage
\else
\ifinner
\@tempskipa\lastskip \unskip
\ifdim\@tempskipa=\z@
\vskip#1\relax
\else
\@tempskipb#1\relax
\ifdim\@tempskipa<\@tempskipb
\vskip\@tempskipb
\else
\ifdim\@tempskipb<\z@
\ifdim\@tempskipa<\z@
\vskip\@tempskipa
\else
\advance\@tempskipb\@tempskipa
\vskip\@tempskipb
\fi
\else
\vskip\@tempskipa
\fi
\fi
\fi
\else
\ifdim\lastskip=\z@
\vskip#1\relax
\else
\@tempskipb#1\relax
\@xaddvskip
\fi
\fi
\fi
\else
\@noitemerr
\fi
}\newcommand\maketitle@page{ \maketitle@disarm
\begin{titlepage} \let\footnotesize\small
\let\footnoterule\relax
\let \footnote \thanks
\@maketitle
\@thanks
\vfil\null
\end{titlepage} \after@maketitle
}\newcommand\maketitle@runin{ \par
\maketitle@disarm
\begingroup
\def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}} \long\def\@makefntext##1{ \parindent 1em\noindent
\hb@xt@1.8em{ \hss\@textsuperscript{\normalfont\@thefnmark} } ##1 } \if@twocolumn
\@ifnum{\col@number=\@ne}{ \global\let\@title@footnote@text\@empty \twocolumn[\let\@footnotetext\@title@footnotetext\@maketitle] \@title@footnote@text }{ \@maketitle
} \else
\newpage
\global\@topnum\z@ \@maketitle
\fi
\@thanks
\endgroup
\after@maketitle
}\def\after@maketitle{ \iflong@abstract \let\@makecol\@makecol@pptt
\let\@outputdblcol\@outputdblcol@pptt
\global\columnwidth\textwidth \global\advance\columnwidth-\columnsep
\global\divide\columnwidth\tw@
\global\hsize\columnwidth
\global\linewidth\columnwidth
\global\@twocolumntrue
\global\@firstcolumntrue
\col@number \tw@
\@ifnextchar [\@topnewpage\@floatplacement
\begin{strip} \end{strip}
\fi
\global\let\thanks\@gobble
\global\let\maketitle\relax
\global\let\@maketitle\relax
\global\let\@thanks\@empty
\global\let\@author\@empty
\global\let\@date\@empty
\global\let\@title\@empty
\global\let\title\relax
\global\let\author\relax
\global\let\date\relax
\global\let\and\relax
\global\let\email\@text@email
\global\firsttabskip\z@
}\AtEndOfClass{ \if@titlepage
\let\maketitle\maketitle@page
\else
\let\maketitle\maketitle@runin
\fi
}\def\open@footnotetext{ \insert\footins\bgroup \interlinepenalty\interfootnotelinepenalty
\splittopskip\footnotesep
\splitmaxdepth\dp\strutbox
\floatingpenalty \@MM
\reset@font\footnote@size
\hsize\columnwidth
\@parboxrestore
}\def\close@footnotetext#1{ \color@begingroup
\@makefntext{ \rule\z@\footnotesep\ignorespaces
#1\@finalstrut\strutbox
} \color@endgroup
\egroup
}\def\@footnotetext{ \open@footnotetext
\set@footnotetext{p@footnote}}\def\@mpfootnotetext{ \global\setbox\@mpfootins\vbox\bgroup \unvbox\@mpfootins
\set@footnotetext{p@mpfootnote}}\long\def\set@footnotetext#1{ \protected@edef\@currentlabel{ \csname #1\endcsname\@thefnmark
} \close@footnotetext
}\def\@title@footnotetext#1{ \protected@edef\@tempa{\csname p@footnote\endcsname\@thefnmark} \expandafter\appgdef
\expandafter\@title@footnote@text
\expandafter{ \expandafter\insert@footnotetext
\expandafter{\@tempa}{#1}}}\def\insert@footnotetext#1{ \open@footnotetext
\def\@thefnmark{#1} \def\@currentlabel{#1} \close@footnotetext
}\AtBeginDocument{ \ifx\footnote@size\undefined
\let\footnote@size\footnotesize
\fi
}\long\def\eqnarray@broken{ \stepcounter{equation}\def\@currentlabel{\p@equation\theequation} \global\@eqnswtrue\m@th\global\@eqcnt\z@
\tabskip\mathindent
\let\\=\@eqncr
\setlength\abovedisplayskip{\topsep} \ifvmode\addtolength\abovedisplayskip{\partopsep}\fi
\addtolength\abovedisplayskip{\parskip} \setlength\belowdisplayskip{\abovedisplayskip} \setlength\belowdisplayshortskip{\abovedisplayskip} \setlength\abovedisplayshortskip{\abovedisplayskip} $$ \everycr{} \halign to\linewidth\bgroup
\hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
&\global\@eqcnt\@ne
\hskip\tw@\arraycolsep
\hfil${##}$\hfil
&\global\@eqcnt\tw@
\hskip\tw@\arraycolsep
$\displaystyle{##}$\hfil\tabskip\@centering
&\global\@eqcnt\thr@@\hb@xt@\z@\bgroup\hss##\egroup
\tabskip\z@skip
\cr
}\long\def\eqnarray@fleqn@fixed{ \stepcounter{equation}\def\@currentlabel{\p@equation\theequation} \global\@eqnswtrue\m@th\global\@eqcnt\z@
\tabskip\mathindent
\let\\=\@eqncr
\setlength\abovedisplayskip{\topsep} \ifvmode\addtolength\abovedisplayskip{\partopsep}\fi
\addtolength\abovedisplayskip{\parskip} \setlength\belowdisplayskip{\abovedisplayskip} \setlength\belowdisplayshortskip{\abovedisplayskip} \setlength\abovedisplayshortskip{\abovedisplayskip} $$ \everycr{} \halign\@to\linewidth\bgroup
\hskip\@centering$\displaystyle\tabskip\z@skip{##}$\@eqnsel
&\global\@eqcnt\@ne
\hskip\tw@\eqncolsep
\hfil${{}##{}}$\hfil
&\global\@eqcnt\tw@
\hskip\tw@\eqncolsep
$\displaystyle{##}$\hfil\tabskip\@centering
&\global\@eqcnt\thr@@\hb@xt@\z@\bgroup\hss##\egroup
\tabskip\z@skip
\cr
}\ifx\eqnarray\eqnarray@broken
\ClassWarningNoLine{aastex}{Repairing broken {eqnarray} definition} \let\eqnarray\eqnarray@fleqn@fixed
\fi
\let\eqnarray@broken\relax
\let\eqnarray@fleqn@fixed\relax
\def\@startsection#1#2#3#4#5#6{ \@startsection@hook
\if@noskipsec \leavevmode \fi
\par
\@tempskipa #4\relax
\@afterindenttrue
\ifdim \@tempskipa <\z@
\@tempskipa -\@tempskipa \@afterindentfalse
\fi
\if@nobreak
\everypar{} \else
\addpenalty\@secpenalty\addvspace\@tempskipa
\fi
\@ifstar
{\@ssect{#3}{#4}{#5}{#6}} {\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}}\def\@startsection@hook{}\def\@sect#1#2#3#4#5#6[#7]#8{ \ifnum #2>\c@secnumdepth
\let\@svsec\@empty
\else
\refstepcounter{#1}\protected@edef\@svsec{\@seccntformat{#1}\relax}
\fi
\@tempskipa #5\relax
\ifdim \@tempskipa>\z@
\begingroup \section@centering#6{ \@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\relax\@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
\section@centering
#4{ \@hangfrom{\hskip #1}\interlinepenalty \@M
\sec@upcase{#5}\@@par}\endgroup
\else
\def\@svsechd{#4{\hskip #1\relax \sec@upcase{#5}}}\fi
\@xsect{#3}}\def\@seccntformat#1{\csname the#1\endcsname.\quad}
\def\section@centering{\centering}\def\sec@upcase#1{\relax{#1}}\def\@citex[#1]#2{ \let\@citea\@empty
\@cite{ \@for\@citeb:=#2\do{ \@citea
\def\@citea{,\penalty\@m\ } \edef\@citeb{\expandafter\@firstofone\@citeb\@empty} \if@filesw\immediate\write\@auxout{\string\citation{\@citeb}}\fi
\@ifundefined{b@\@citeb}{ \G@refundefinedtrue
\@latex@warning{ Citation `\@citeb' on page \thepage \space undefined } }{ \csname b@\@citeb\endcsname
} } }{#1}}\def\revtex@ver{5.2}\def\revtex@date{12 Dec 2003}\def\revtex@org{AAS}\def\revtex@jnl{AAS}\def\revtex@genre{manuscript}\def\class@typeout{ \typeout{ \revtex@org\space
\revtex@genre\space substyle, v\revtex@ver\space <\revtex@date>. }}\def\class@typeout@jnl{ \typeout{ \revtex@org\space
\revtex@jnl\space
\revtex@genre\space substyle, v\revtex@ver\space <\revtex@date>. }}\AtBeginDocument{ \class@typeout
}\def\revtex@pageid{ \xdef\@thefnmark{\null} \@footnotetext{ This \revtex@genre\space was prepared with the
\revtex@org\space \LaTeX\ macros v\revtex@ver. }}\def\ps@plaintop{ \let\@mkboth\@gobbletwo
\def\@oddfoot{} \def\@oddhead{\rmfamily\hfil--\space\thepage\space--\hfil} \def\@evenfoot{} \let\@evenhead\@oddhead
}\def\ps@msstitle{ \let\@mkboth\@gobbletwo
\def\@oddfoot{} \def\@oddhead{\rmfamily\hfil\ms@id} \def\@evenfoot{} \let\@evenhead\@oddhead
}\setlength\textwidth{6.5in}\setlength\textheight{8.4in}\setlength\headheight{.15in} \setlength\marginparsep {10\p@} \setlength\marginparpush{5\p@} \setlength\oddsidemargin {0in} \setlength\evensidemargin {0in} \setlength\marginparwidth {0in} \setlength\topmargin{0in}\setlength\lineskip{1\p@}\setlength\normallineskip{1\p@}\def\@doubleleading{1.6}\def\@tightleading{1.1}\renewcommand\baselinestretch{\@tightleading}\newcommand\tighten{\def\baselinestretch{\@tightleading}}\newcommand\tightenlines{\tighten}\newcommand\singlespace{ \def\baselinestretch{\@tightleading} \normalsize
}\newcommand\doublespace{ \def\baselinestretch{\@doubleleading} \normalsize
}\def\singlespace@apj{ \def\baselinestretch{\@tightleading} \def\arraystretch{\@tightleading} \normalsize
}\def\doublespace@apj{ \def\baselinestretch@apj{\@doubleleading} \def\arraystretch{\@doubleleading} \normalsize
}\setlength\parskip{1.5ex}\setlength\parindent{2em}\setlength\smallskipamount{3\p@\@plus1\p@\@minus1\p@}\setlength\medskipamount{6\p@\@plus2\p@\@minus2\p@}\setlength\bigskipamount{12\p@\@plus4\p@\@minus4\p@}\@lowpenalty 51
\@medpenalty 151
\@highpenalty 301
\newcommand\ptlandscape{ \setlength\textwidth{9in} \setlength\textheight{6.5in} \setlength\pt@width{\textwidth} \setlength\hoffset{0.0in} \setlength\voffset{-0.25in}}\def\eqsecnum{ \@addtoreset{equation}{section} \def\theequation{ \arabic{section}-\arabic{equation} }}\def\@journalname{The Astrophysical Journal}\def\cpr@holder{American Astronomical Society}\newcommand\received[1]{\gdef\@recvdate{#1}}\newcommand\accepted[1]{\gdef\@accptdate{#1}}\newcommand\revised[1]{\gdef\@revisedate{#1}}\newcommand\journalid[2]{\gdef\@jourvol{#1}\gdef\@jourdate{#2}}\newcommand\articleid[2]{\gdef\@startpage{#1}\gdef\@finishpage{#2}}\newcommand\paperid[1]{\gdef\@paperid{#1}}\newcommand\ccc[1]{\gdef\CCC@code{#1}}\AtEndOfClass{ \@provide\@recvdate{} \@provide\@accptdate{} \@provide\@revisedate{} \@provide\@jourvol{} \@provide\@jourdate{} \@provide\@startpage{} \@provide\@finishpage{} \@provide\@paperid{MS-0001-SAMP} \@provide\CCC@code{000-00\$75.95-CDB}}\newcommand\cpright[2]{ \global\expandafter\let\expandafter\cpr@type\csname cpr@#1\endcsname
\gdef\cpr@year{#2} \typeout{`#1' copyright \cpr@year.}}\def\cpr@AAS{Copyright \cpr@year\space by the \cpr@holder.}\def\cpr@PD{This article is in the public domain.}\def\cpr@Crown{Crown copyright \cpr@year\space by the \cpr@holder.}\def\cpr@none{No copyright is claimed for this article.}\def\cpr@ASP{Copyright \cpr@year\space by the ASP.}\def\cpr@year{\number\year}\def\@slug{ \par
\noindent\cpr@type\par
\noindent Manuscript number \@paperid.\par
\noindent\CCC@code\par
}\newcommand\lefthead{\substitute@command\lefthead\shorttitle}\newcommand\righthead{\substitute@command\righthead\shortauthors}\newcommand\shorttitle[1]{\gdef\@versohead{#1}}\newcommand\shortauthors[1]{\gdef\@rectohead{#1}}\shorttitle{\relax}\shortauthors{\relax}\def\@runheads{ \@tempcnta\c@page
\@whilenum\@tempcnta>\z@\do{ \vskip 3ex
\hbox\@to30pc{ \small
\expandafter\uppercase\expandafter{\@versohead}:
\expandafter\uppercase\expandafter{\@rectohead}\hfil
} \advance\@tempcnta\m@ne
}}\newcommand\msid[1]{\gdef\ms@id{#1}}\def\ms@id{}\newcommand\slugcomment[1]{\gdef\slug@comment{#1}}\slugcomment{}\newdimen\@slugcmmntwidth
\long\def\@makeslugcmmnt@mss{ \@ifx@empty\slug@comment{\relax}{ \vskip 5ex
\sbox\@tempboxa{\slug@comment} \@ifdim{\wd\@tempboxa >\@slugcmmntwidth}{ \hbox\@to\textwidth{ \hss
\parbox\@slugcmmntwidth\slug@comment
} }{ \hbox\@to\textwidth{\hfil\box\@tempboxa\hfil} } }}\long\def\@makeslugcmmnt@ppt{ \@ifx@empty\slug@comment{\relax}{ \sbox\@tempboxa{\slug@comment} \@ifdim{\wd\@tempboxa >\@slugcmmntwidth}{ \hbox\@to\textwidth{ \hss
\parbox\@slugcmmntwidth\slug@comment
} }{ \hbox\@to\textwidth{\hfil\box\@tempboxa} } \vskip 2ex
}}\def\@rcvaccrule{\vrule\@width1.75in\@height0.5pt\@depth\z@}\def\@dates{\ifx\@title\@empty\else {Received}\space \ifx\@empty\@recvdate\@rcvaccrule\else\@recvdate\fi; \hspace{1.5em}{accepted}\space \ifx\@empty\@accptdate\@rcvaccrule\else\@accptdate\fi\fi}\def\@dates@pptt{ \@ifx@empty\@recvdate{}{ \@ifx@empty\@accptdate{}{ {\center
\@ifnum{\col@number=\tw@}{\small}{\normalsize} {\itshape Received}\space
\@recvdate
\@ifnum{\col@number=\tw@}{\\[.5ex]}{\hspace{1.5em}} {\itshape accepted}\space
\@accptdate
\endcenter
} } }}\def\sluginfo@mss{ { \addpenalty{\@M} \addvspace{6\p@} \centering
\@dates
\@makeslugcmmnt
\par
\addvspace{6\p@} }}\newcommand\sluginfo{ { \addpenalty{\@M} \addvspace{6\p@} \centering
\@dates
\par
\addvspace{6\p@} }}\let\dates=\sluginfo
\renewenvironment{abstract}{ \iflong@abstract \onecolumn
\fi
\global\setbox\abstract@box\vtop\bgroup
\columnwidth\textwidth\hsize\columnwidth\linewidth\hsize
\normalsize
\color@begingroup
\@parboxrestore
\@setminipage
\quotation
}{ \par
\endquotation
\removelastskip
\vskip-\prevdepth
\color@endgroup
\egroup
}\newbox\abstract@box
\def\abstractname{ABSTRACT}\def\@abstract@mss{ \sluginfo
\clearpage
\@ifvoid\abstract@box{}{ \begin{center}\bfseries\abstractname\end{center} \contribute@box\abstract@box
}}\def\contribute@box#1{ \dimen@\ht#1 \leavevmode\hbox{\vrule\@height\ht#1\@width\z@}\par
\nointerlineskip\nobreak\kern-\ht#1\unvbox#1\prevdepth\z@
}\def\@abstract@ppt{ \@ifvoid\abstract@box{}{ \begin{center}\bfseries\abstractname\end{center} \contribute@box\abstract@box
}}\def\@abstract@pptt{ \@ifvoid\abstract@box{}{ \@ifnum{\col@number=\tw@}{ \section*{Abstract} }{ \vspace{3em} \begin{center} \large
\bfseries\abstractname\vspace{-.5em}\vspace{\z@} \end{center} } \contribute@box\abstract@box
}}\def\title#1{\appdef\@title{\make@title{#1}}}\def\author#1{\appdef\@author{\make@author{#1}}}\def\email#1{\appdef\@author{\make@authoremail{#1}}}\def\affil#1{\appdef\@author{\make@affil{#1}}}\def\altaffilmark#1{\appdef\@author{\make@altaffilmark{#1}}}\def\altaffiltext#1#2{\appdef\@author{\make@altaffiltext{#1}{#2}}}\def\and{\appdef\@author{\make@and}}\let\authoraddr\@gobble
\let\@title\@empty
\let\@author\@empty
\let\@date\@empty
\def\@maketitle{ \newpage
\begingroup
\let\footnote\thanks
\let\email\make@authoremail
\let\affil\make@affil
\let\altaffilmark\make@altaffilmark
\let\altaffiltext\make@altaffiltext
\let\and\make@and
\@title
\@author
\@date
\par
\@abstract
\@ifxundefined\keyword@list{}{ \expandafter\@keywords
\expandafter{\keyword@list} } \endgroup
}\def\make@title@mss#1{ { \def\baselinestretch{\@tightleading} \center\large\bfseries{#1}\endcenter } \thispagestyle{msstitle}}\def\make@title@ppt#1{ \@makeslugcmmnt
{\center\large\bfseries{#1}\endcenter} \thispagestyle{empty}}\def\make@title@pptt#1{ { \center
\@ifnum{\col@number=\tw@}{\large}{\Large} \bfseries
#1 \endcenter
}}\def\make@author#1{ {\topsep\z@\center\normalsize#1\endcenter}}\def\make@author@pptt#1{ {\topsep\z@
\center
\@ifnum{\col@number=\tw@}{\normalsize}{\vspace{4ex}\large} #1 \endcenter
}}\let\make@authoraddr=\@gobble
\def\make@authoremail#1{ {\topsep\z@\center\normalsize\tt#1\endcenter}}\newcommand\make@affil[1]{ \vspace*{-2.5ex}{\topsep\z@\center#1\endcenter}}\def\make@affil@ppt#1{ \vspace*{-0.8ex} { \topsep\z@
\center
\@ifnum{\col@number=\tw@}{\small}{\normalsize} \itshape
#1 \endcenter
}}\def\make@affil@pptt#1{ \vspace*{-0.8ex} { \topsep\z@
\center
\@ifnum{\col@number=\tw@}{\small}{\normalsize} \itshape
#1 \endcenter
}}\def\thefootnote{\@arabic\c@footnote}\newcommand\make@altaffilmark[1]{$^{#1}$}\newcommand\make@altaffiltext[2]{\iflong@abstract \footnotetext@ass[#1]{#2}
\else
\footnotetext@ass[#1]{\hsize\columnwidth #2}
\fi
}\def\thanks#1{\footnotemark
\protected@xdef\@thanks{\@thanks
\iflong@abstract \protect\footnotetext[\the\c@footnote]{\hsize18pc #1}
\else
\protect\footnotetext[\the\c@footnote]{#1}
\fi
}}
\def\footnotetext@ass{ \@ifnextchar [\@xfootnotenext@ass
{ \@footnotetext}}
\def\@xfootnotenext@ass[#1]{ \begingroup
\unrestored@protected@xdef\@thefnmark{#1} \endgroup
\@footnotetext}
\def\make@and{\vspace*{-0.5ex}{\topsep\z@\center and\endcenter}}\newcommand\keywords{\appdef\keyword@list}\let\keyword@list\undefined
\def\@keywords#1{ \vspace*{-.7ex} \@ifnum{\col@number=\tw@}{ \noindent
{{\itshape\@keywordtext:\/}\space\@kwds{#1}} }{ { \quote
{\itshape\@keywordtext:\/}\space
\@kwds{#1} \endquote
} }}\def\@keywords@pptt#1{ \vspace*{-.7ex} \@ifnum{\col@number=\tw@}{ \noindent
{ \small
{\itshape\@keywordtext:\/}\space
\@kwds{#1} } }{ { \quote
\small
{\itshape\@keywordtext:\/}\space
\@kwds{#1} \endquote
} }}\def\@keywords@mss#1{ \vspace*{-.7ex} \@ifnum{\col@number=\tw@}{ \noindent
{ \small
{\itshape\@keywordtext:\/}\space
\@kwds{#1} } }{ { \quote
\small
{\itshape\@keywordtext:\/}\space
\@kwds{#1} \endquote \clearpage
} }}\let\subjectheadings=\keywords
\def\@keywordtext{Subject headings}\def\@keyworddelim{---}\def\@kwds@jnl#1{ \def\@kwddlm{} \@for\@kwd:=#1\do{ \@kwddlm
\def\@kwddlm{\space\@keyworddelim\penalty\@m\space} {\@kwd} }}\def\@kwds#1{#1\relax}\AtBeginDocument{ \everypar{ \everypar@hook
}}\def\everypar@hook{ \setbox\z@\lastbox\par\removelastskip
\everypar{} \maketitle@trigger
\leavevmode
}\def\@startsection@hook{\maketitle@trigger}\prepdef\tableofcontents{\listof@hook}\prepdef\listoffigures{\listof@hook}\prepdef\listoftables{\listof@hook}\def\listof@hook{\maketitle@trigger}\def\maketitle@disarm{ \global\let\maketitle@trigger\relax
\global\let\@startsection@hook\@empty
\global\let\listof@hook\@empty
\global\let\everypar@hook\@empty
}\def\maketitle@trigger{ \maketitle
}\setlength{\skip\footins}{4ex\@plus1ex\@minus.5ex}\setlength\footnotesep{3ex}\long\def\@makefntext@pptt#1{ \noindent
\hbox\@to\z@{\hss$^{\@thefnmark}$} #1}\newcounter{editornote}\def\theeditornote{{\rmfamily E}\arabic{editornote}}\newcommand\notetoeditor[1]{ \stepcounter{editornote} \begingroup
\def\protect{\noexpand\protect\noexpand} \xdef\@thefnmark{\theeditornote} \endgroup
\@footnotemark\@footnotetext{NOTE TO EDITOR: #1}}\renewcommand\section{ \@startsection{section}{1} {\z@}{5ex\@plus.5ex}{1ex\@plus.2ex}{\normalsize\bfseries}}\def\thesection{\@arabic{\c@section}}\def\clear@section@page{}\renewcommand\subsection{ \@startsection{subsection}{2} {\z@}{5ex\@plus.5ex}{1ex\@plus.2ex}{\normalsize\bfseries}}\def\thesubsection{\thesection.\@arabic{\c@subsection}}\renewcommand\subsubsection{ \@startsection{subsubsection}{3} {\z@}{5ex\@plus.5ex}{1ex\@plus.2ex}{\normalsize\itshape}}\def\thesubsubsection{\thesubsection.\@arabic{\c@subsubsection}}\newcommand\subsubsubsection{ \@startsection{subsubsection}{4} {\z@}{-15\p@\@plus-5\p@\@minus-2\p@}{5\p@}{\normalfont\normalsize\itshape}}\def\thesubsubsubsection{\thesubsubsection.\@arabic{\c@subsubsubsection}}\def\theparagraph{\thesubsubsection.\@arabic{\c@paragraph}}\newcommand\acknowledgments{\vskip 3ex\@plus.8ex\@minus.4ex}\let\acknowledgements=\acknowledgments
\renewcommand\appendix{ \par
\if@twocolumn\@restonecoltrue\onecolumn\fi
\setcounter{section}{\z@} \setcounter{subsection}{\z@} \setcounter{equation}{\z@} \def\thesection{\Alph{section}} \def\theequation{ \thesection\arabic{equation} } \@addtoreset{equation}{section} \appendix@figtab@defs
\def\section{ \@startsection
{section}{1}{\z@} {5ex\@plus.5ex}{1ex\@plus.2ex}{\normalsize\bfseries} }}\let\appendix@figtab@defs\@empty
\def\appendix@figtab@defs@pptt{}\newcounter{cureqno}\newenvironment{mathletters}{ \refstepcounter{equation} \setcounter{cureqno}{\value{equation}} \let\@curtheeqn\theequation
\edef\@tempa{\theequation} \expandafter\def
\expandafter\theequation
\expandafter{\@tempa\alph{equation}} \setcounter{equation}{0}}{ \let\theequation\@curtheeqn
\setcounter{equation}{\value{cureqno}}}\newcommand\eqnum[1]{ \def\theequation{#1} \let\@currentlabel\theequation
\addtocounter{equation}{\m@ne}}\renewenvironment{thebibliography}[1]{ \clear@thebibliography@page
\subsection*{REFERENCES} \thebib@list
\def\refpar{\relax} \def\newblock{\hskip .11em\@plus.33em\@minus.07em} \sloppy
\clubpenalty4000
\widowpenalty4000
\sfcode`\.=1000\relax
}{ \endlist
\revtex@pageid
}\def\clear@thebibliography@page{}\def\thebib@list{ \list{\null}{ \leftmargin 3em\labelwidth\z@\labelsep\z@\itemindent-\leftmargin
\usecounter{enumi} }}\def\thebib@list@pptt{ \list{\null}{ \leftmargin 1.2em\labelwidth\z@\labelsep\z@\itemindent-\leftmargin
\usecounter{enumi} }}\newenvironment{references}{ \clear@thebibliography@page
\subsection*{REFERENCES} \bgroup
\setlength\parindent\z@
\setlength\parskip\itemsep
\let\refpar\references@refpar
}{ \refpar
\egroup
\revtex@pageid
}\def\references@refpar@mss{ \par\setlength\hangindent{3em}\hangafter\@ne
}\def\references@refpar@pptt{ \par\setlength\hangindent{1.2em}\hangafter\@ne
}\let\references@refpar\references@refpar@mss
\newcommand\reference{ \@ifnextchar\bgroup{\@reference}{ \@latexerr{Missing key on reference command}{ Each reference command should have a key corresponding
to a \protect\markcite\space somewhere in the text
} }}\def\@reference#1{\relax\refpar}\newcommand\markcite[1]{\remove@command\markcite} \def\@biblabel#1{\relax} \def\@cite#1#2{#1\if@tempswa , #2\fi}\setcounter{topnumber}{7}\newskip\tnotemarkskip
\tnotemarkskip7pt
\newdimen\@abovenoteskip\newcommand\tablenotemark[1]{\rlap{$^{\mathrm #1}$}\hskip\tnotemarkskip\ignorespaces}\def\@tablenotetext#1#2{ \vspace{.5ex} {\noindent\llap{$^{#1}$}#2\par}}\def\@tablenotes#1{ \par
\vspace{4.5ex}\footnoterule\vspace{.5ex} {\footnotesize#1}}\def\@tablenotes@pptt#1{ \par
\vspace{3.2ex}\footnoterule\vspace{.4ex} {\footnotesize#1}}\AtBeginDocument{ \let\tblnote@list\@empty
}\newcommand\tablenotetext[2]{\ifdim\@abovenoteskip=0pt\global\@abovenoteskip=20pt\fi \appgdef\tblnote@list{\hsize\pt@width\leftskip\z@\rightskip\z@ \@tablenotetext{#1}{\parfillskip\z@ plus1fil#2\endgraf}}}\def\spew@tblnotes{ \@ifx@empty\tblnote@list{}{ \@tablenotes{\tblnote@list} \global\let\tblnote@list\@empty
}}\prepdef\endtable{\spew@tblnotes}\expandafter\prepdef\csname endtable*\endcsname{\spew@tblnotes}\let\tableline=\hline
\long\def\@makecaption#1#2{\vskip 2ex\noindent#1\ #2\par}\newcommand\tablenum[1]{ \def\thetable{#1} \let\@currentlabel\thetable
\addtocounter{table}{\m@ne}}\newcommand\figurenum[1]{ \def\thefigure{#1} \let\@currentlabel\thefigure
\addtocounter{figure}{\m@ne}}\newcommand\placetable{\@place@float{TABLE}}\newcommand\placefigure{\@place@float{FIGURE}}\newcommand\placeplate{\@place@float{PLATE}}\def\@place@float#1#2{ \vspace{0.5ex} \begin{center}EDITOR: PLACE #1 \ref{#2} HERE.\end{center} \vspace{0.5ex}}\newcommand\figcaption{\@testopt{\@xfigcaption}{}}\def\@xfigcaption[#1]#2{{\def\@captype{figure}\caption{#2}}}\newcommand\dummytable{\refstepcounter{table}}\newbox\pt@box
\newdimen\pt@width
\newcount\pt@line
\newcount\pt@column
\newcount\pt@nlines
\newcount\pt@ncol
\newcount\pt@page
\newcommand\colhead[1]{\multicolumn{1}{c}{#1}\pt@addcol}\gdef\pt@footnotesize{\string\footnotesize}
\gdef\pt@scriptsize{\string\scriptsize}
\newcommand\tabletypesize[1]{\def\pt@typesize{#1}\gdef\@typesize{\string#1}
\ifx\@typesize\pt@footnotesize
\def\pt@headfrac{\pt@headfrac@ass@footnotesize}
\else
\ifx\@typesize\pt@scriptsize
\def\pt@headfrac{\pt@headfrac@ass@scriptsize}
\else
\def\pt@headfrac{\pt@headfrac@ass@normalsize} \fi
\fi
}\def\pt@typesize{}\newcommand\tablecolumns[1]{ \pt@column=#1\relax \pt@ncol=#1\relax \global\let\pt@addcol\@empty}\newcommand\tablecaption[1]{\gdef\pt@caption{\tnotemarkskip8pt#1}}\newcommand\tablehead[1]{ \gdef\pt@head{ \hline\hline
\relax\\[-1.7ex] #1\hskip\tabcolsep
\\[.7ex] \hline
\relax\\[-1.5ex] }}\def\tablehead@aj#1{ \gdef\pt@head{ #1\hskip\tabcolsep
\\[.7ex] \hline
\relax\\[-1.5ex] }}\newif\if@pt@rot
\newcommand\rotate{\@pt@rottrue}\newcommand\tabletail[1]{\gdef\pt@tail{#1}}\newcommand\tablewidth[1]{\pt@width=#1\relax}\newcommand\tableheadfrac[1]{\gdef\pt@headfrac{#1}}\AtBeginDocument{ \let\pt@caption\@empty \let\pt@head\@empty \let\pt@tail\@empty \pt@width\textwidth \def\pt@headfrac{\pt@headfrac@ass@normalsize}}\newdimen\tabbaseskip\def\pt@calcnlines{ \begingroup \if@pt@rot\textheight\textwidth\fi \pt@typesize \@tempdima\pt@headfrac\textheight
\@tempdimb\textheight\advance\@tempdimb by -\@tempdima
\@tempdima\arraystretch\baselineskip
\global\tabbaseskip\baselineskip
\divide\@tempdimb by\@tempdima
\global\pt@nlines\@tempdimb
\endgroup
}\def\pt@tabacol{ \edef\@preamble{\@preamble\hskip\tabcolsep\tabskip\fill}}\newdimen\pt@tmpcapwidth
\long\def\@makecaption@plano#1#2{ \@ifdim{\pt@width>\z@}{ \pt@tmpcapwidth\pt@width
}{ \pt@tmpcapwidth\hsize
} \parbox{\pt@tmpcapwidth}{ \@make@caption@text{#1}{#2} } \endcenter
}\def\fnum@ptable{Table \thetable}\def\fnum@ptablecont{Table \thetable---{\rmfamily Continued}}\long\def\@make@caption@text#1#2{ \center\rmfamily#1.\quad#2\endcenter
}\long\def\@makecaption@plano@cont#1#2{ \center\rmfamily#1\endcenter
\vskip 2.5ex
}\def\fnum@ptablecont@pptt{Table \thetable---{\itshape Continued}}\long\def\@make@caption@text@pptt#1#2{ \center\sc#1\\[.5ex]#2\endcenter
}\long\def\@makecaption@plano@cont@pptt#1#2{ \center\sc#1\endcenter
\vskip 1.5ex
}\def\fnum@ptable@apj{TABLE \thetable}\def\fnum@ptablecont@apj{TABLE \thetable---{\itshape Continued}}\long\def\@make@caption@text@apj#1#2{ \center\Large\sc#1\\[.5ex]#2\endcenter
}\long\def\@makecaption@plano@cont@apj#1#2{ \center\Large\sc#1\endcenter
\vskip 1.5ex
}\def\fnum@ptable@aj{Table \thetable.}\def\fnum@ptablecont@aj{Table \thetable.\space{\rmfamily (continued)}}\long\def\@make@caption@text@aj#1#2{ \center\large{\sc#1}\space#2\endcenter
}\long\def\@makecaption@plano@cont@aj#1#2{ \center\large{\sc#1}\endcenter
\vskip 1.5ex
}\newbox\spew@tblnotesbox\newbox\restof@tblnotesbox\global\newdimen\noteheight\global\newdimen\pt@tabnoteminht\global\pt@tabnoteminht=0pt\newenvironment{deluxetable}[1]{ \maketitle
\def\pt@format{\string#1} \let\@acol\pt@tabacol \let\@tabularcr\@ptabularcr \let\@tablenotetext\@ptablenotetext \let\@tablenotes\@ptablenotes \global\pt@ncol\z@ \global\pt@column\z@ \global\pt@page\@ne \gdef\pt@addcol{\global\advance\pt@ncol\@ne} \if@pt@rot\leavevmode\fi}{ \ifx\@typesize\pt@footnotesize \global\pt@tabnoteminht=\pt@notemin@footnote\baselineskip
\else
\ifx\@typesize\pt@scriptsize
\global\pt@tabnoteminht=\pt@notemin@script\baselineskip
\else
\global\pt@tabnoteminht=\pt@notemin@normal\baselineskip
\fi
\fi
\global\advance\pt@tabnoteminht-\@abovenoteskip
\global\@abovenoteskip=0pt
\setbox\spew@tblnotesbox\vbox{\spew@tblnotes} \if@pt@rot\global\noteheight\textwidth\else\global\noteheight\textheight\fi \global\advance\noteheight-\ht\captionbox \global\advance\noteheight-\pt@line\tabbaseskip
\if@twocolumn \ifx\@typesize\pt@scriptsize
\global\advance\noteheight-6\baselineskip \else
\global\advance\noteheight-3\baselineskip \fi
\else
\global\advance\noteheight-2\baselineskip \fi
\ifdim\noteheight<\pt@tabnoteminht \global\noteheight=0pt \global\setbox\restof@tblnotesbox\vbox{\unvbox\spew@tblnotesbox} \else
\ifdim\ht\spew@tblnotesbox>\noteheight \hbox\@to\hsize{\hfil\vsplit\spew@tblnotesbox to \noteheight\hfil} \global\setbox\restof@tblnotesbox\vbox{\unvbox\spew@tblnotesbox} \else \vbox{\hbox\@to\hsize{\hfil\box\spew@tblnotesbox\hfil}} \fi
\fi
\typeout@deluxetable \endcenter \end@plano@float \loop\ifvoid\restof@tblnotesbox\else \clearpage
\ifdim\ht\restof@tblnotesbox<\if@pt@rot\hsize\else\vsize\fi \vbox to \textheight{\if@pt@rot\vfill\fi\hbox to \textwidth{\if@pt@rot\else\hfil\fi
\if@pt@rot\rotatebox{90}{\box\restof@tblnotesbox}
\else{\box\restof@tblnotesbox}\fi\hfil}\vfill} \else \vbox to \textheight{\vfill\hbox to \textwidth{\hfil \if@pt@rot\rotatebox{90}{\vsplit\restof@tblnotesbox to \textwidth}
\else{\vsplit\restof@tblnotesbox to \textheight}\fi\hfil}\vfill} \fi \clearpage
\repeat \addtocounter{table}{\m@ne} \tabletypesize{\normalsize}}\let@environment{planotable}{deluxetable}\def\@plano@float{ \begingroup \if@pt@rot\columnwidth\textheight\fi \@plano@float@{table}}\def\end@plano@float{ \end@plano@float@\endgroup}\def\@plano@float@{\@float}\def\end@plano@float@{\end@float}\newdimen\firsttabskip
\firsttabskip-\hsize
\appdef\@endfloatbox{\if@pt@rot
\global\setbox\@currbox\vbox{\hskip\firsttabskip\global\firsttabskip\z@\rotatebox{90}{\box\@currbox}}\else\global\firsttabskip\z@\fi}\def\typeout@deluxetable@mss{ \typeout{ Table \thetable\space has been set to width \the\pt@width
}}\def\typeout@deluxetable@ppt{ \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
}}\let\typeout@deluxetable\typeout@deluxetable@mss
\newcommand\startdata{ \pt@calcnlines
\@ifdim{\pt@width>\z@}{ \def\@halignto{\@to\pt@width} }{ \def\@halignto{} } \let\fnum@table=\fnum@ptable
\let\@makecaption\@makecaption@plano
\global\pt@line\z@
\start@pt@tabular
\after@startdata
}\global\newbox\captionbox
\def\start@pt@tabular{\par \@plano@float
\center
\expandafter\caption\expandafter{\pt@caption} \global\setbox\captionbox\vbox{\expandafter\caption\expandafter{\pt@caption}}
\pt@typesize \expandafter\@tabular\expandafter{\pt@format}}\def\set@pt@box#1{\setbox\pt@box}\def\after@startdata{\pt@head}\def\after@startdata@aj{\hline\hline\relax\\[-1.7ex]\pt@head}\def\enddata{ \crcr
\noalign{\vskip .7ex} \before@enddata \endtabular \setbox\pt@box\lastbox \pt@width\wd\pt@box
\hbox \@to \hsize{\hfil\box\pt@box\hfil} \ignorespaces}\def\before@enddata{\hline}\def\before@enddata@aj{\hline\hline}\def\nl{\substitute@command\nl\\}\def\nextline{\substitute@command\nextline\\}\def\@ptabularcr{ {\ifnum0=`}\fi \@ifstar{ \@testopt{\@argptabularcr\@empty}\z@skip }{ \@testopt{\@argptabularcr\ptable@@split}\z@skip }}\newdimen\pt@reduceline
\newdimen\extra@vspace
\extra@vspace\z@
\def\@xargptarraycr#1{\@tempdima #1 \global\advance\extra@vspace\@tempdima \advance\@tempdima\dp \@arstrutbox \vrule \@height\z@ \@depth\@tempdima \@width\z@ \global\pt@reduceline\arraystretch\tabbaseskip \@whilenum\pt@reduceline<\extra@vspace \do{ \global\advance\extra@vspace-\pt@reduceline \global\advance\pt@line1
}\cr}\def\@argptabularcr#1[#2]{ \ifnum0=`{\fi} \@ifdim{#2>\z@}{ \unskip\@xargptarraycr{#2} }{ \@yargarraycr{#2} }\ptable@split#1}\def\ptable@split#1{ \noalign{ \global\advance\pt@line\@ne \@ifnum{\pt@line<\pt@nlines}{}{ \aftergroup#1 } }}\def\ptable@@split{ \before@suspendpt \endtabular \setbox\pt@box\lastbox \pt@width\wd\pt@box\box\pt@box \typeout@pt@nl \global\advance\pt@page\@ne \endcenter \end@plano@float \clearpage
\global\extra@vspace\z@
\addtocounter{table}{-2} \let\fnum@table=\fnum@ptablecont \let\@makecaption\@makecaption@plano@cont \global\pt@ncol=\pt@column \global\pt@line\z@ \start@pt@tabular \before@resumept \pt@head}\def\before@suspendpt{}\def\before@resumept{}\def\before@suspendpt@aj{\@tabularcr\noalign{\vskip .7ex}\hline}\def\before@resumept@aj{\hline\relax\@tabularcr[-1.7ex]}\def\typeout@pt@nl@ppt{ \typeout{ Page \the\pt@page\space of table \thetable\space has been set to
width \the\pt@width
}}\def\typeout@pt@nl@mss{ \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
}}\def\typeout@pt@nl@aj{ \typeout{ Table \thetable\space has been set to
width \the\pt@width\space with \the\pt@nlines\space lines per page
}}\let\typeout@pt@nl\typeout@pt@nl@mss
\newcommand\tablevspace[1]{\substitute@command\tablevspace\\[#1]}\newcommand\tablebreak{\cr\ptable@@split}\newcommand\cutinhead[1]{ \noalign{\vskip 1.5ex} \hline
\@ptabularcr
\noalign{\vskip -4ex} \multicolumn{\pt@ncol}{c}{#1} \@ptabularcr
\noalign{\vskip .8ex} \hline
\@ptabularcr
\noalign{\vskip -2ex}}\def\cutinhead@ppt#1{ \noalign{\vskip 1.5ex} \hline
\@ptabularcr
\noalign{\vskip -2ex} \multicolumn{\pt@ncol}{c}{#1} \@ptabularcr
\noalign{\vskip .8ex} \hline
\@ptabularcr
\noalign{\vskip -2ex}}\newcommand\sidehead[1]{ \noalign{\vskip 1.5ex} \multicolumn{\pt@ncol}{@{\hskip\z@}l}{#1} \@ptabularcr
\noalign{\vskip .5ex}}\def\@ptablenotetext#1#2{ \vspace{0ex} { {\hskip1em$^{\mathrm#1}$#2}\par}}\def\@ptablenotes#1{ \par
\vspace{2ex} {\setlength\parskip{1.5ex}#1}}\def\@ptablenotes@apj#1{ \par
\vspace{2ex} {#1}}\newcommand\tablerefs[1]{\ifdim\@abovenoteskip=0pt\global\@abovenoteskip=10pt\fi
\appgdef\tblnote@list{\hsize\pt@width\leftskip\z@\rightskip\z@\@tableref{\parfillskip\z@ plus1fil#1\endgraf}}}\def\@tableref#1{ \par
\vspace*{3ex} { {\hskip1em\rmfamily References. --- #1}\par}}\newcommand\tablecomments[1]{\ifdim\@abovenoteskip=0pt\global\@abovenoteskip=10pt\fi
\appgdef\tblnote@list{\hsize\pt@width\leftskip\z@\rightskip\z@\@tablecom{\parfillskip\z@ plus1fil#1\endgraf}}}\def\@tablecom#1{ \par
\vspace*{3ex} {{\hskip1em\rmfamily Note. --- #1}\par}}\def\@tableref@pptt#1{ \par
\vspace*{3ex} { {\hskip1em{\sc References.---}#1}\par}}\def\@tablecom@pptt#1{ \vspace*{3ex}{ {\hskip1em{\sc Note.---}#1}\par}}\newcounter{plate}\def\ftype@plate{4}\def\ext@plate{lof}\newenvironment{plate}{\@float{plate}}{\end@float}\newenvironment{plate*}{\@dblfloat{plate}}{\end@dblfloat}\let\platewidth=\tablewidth
\newcommand\platenum[1]{ \def\theplate{#1} \let\@currentlabel\theplate
\addtocounter{plate}{\m@ne}}\def\thefigure{\@arabic\c@figure}\def\thetable{\@arabic\c@table}\def\theplate{\@arabic\c@plate}\def\fnum@figure{{\rmfamily Fig.\space\thefigure.---}}\def\fnum@table{{\rmfamily Table \thetable:}}\def\fnum@plate{{\bfseries Plate \theplate.}}\def\fps@figure{bp}\def\fps@table{bp}\def\fps@plate{bp}\def\eps@scaling{1.0}\newcommand\epsscale[1]{\gdef\eps@scaling{#1}}\newcommand\plotone[1]{ \typeout{Plotone included the file #1}
\centering
\leavevmode
\includegraphics[width={\eps@scaling\columnwidth}]{#1}}\newcommand\plottwo[2]{{ \typeout{Plottwo included the files #1 #2}
\centering
\leavevmode
\columnwidth=.45\columnwidth
\includegraphics[width={\eps@scaling\columnwidth}]{#1} \hfil
\includegraphics[width={\eps@scaling\columnwidth}]{#2}}}\def\plotfiddle#1#2#3#4#5#6#7{{
\typeout{Plotfiddle included the file #1}
\centering\leavevmode\vbox to #2{\rule{0pt}{#2}}
\hspace*{#6pt}\includegraphics[width=#4pt, height=#5pt, angle=#3, origin=c]{#1}}}
\let\jnl@style=\rmfamily
\def\ref@jnl#1{{\jnl@style#1}}\newcommand\aj{\ref@jnl{AJ}} \newcommand\actaa{\ref@jnl{Acta Astron.}} \newcommand\araa{\ref@jnl{ARA\&A}} \newcommand\apj{\ref@jnl{ApJ}} \newcommand\apjl{\ref@jnl{ApJ}} \newcommand\apjs{\ref@jnl{ApJS}} \newcommand\ao{\ref@jnl{Appl.~Opt.}} \newcommand\apss{\ref@jnl{Ap\&SS}} \newcommand\aap{\ref@jnl{A\&A}} \newcommand\aapr{\ref@jnl{A\&A~Rev.}} \newcommand\aaps{\ref@jnl{A\&AS}} \newcommand\azh{\ref@jnl{AZh}} \newcommand\baas{\ref@jnl{BAAS}} \newcommand\caa{\ref@jnl{Chinese Astron. Astrophys.}} \newcommand\cjaa{\ref@jnl{Chinese J. Astron. Astrophys.}} \newcommand\icarus{\ref@jnl{Icarus}} \newcommand\jcap{\ref@jnl{J. Cosmology Astropart. Phys.}} \newcommand\jrasc{\ref@jnl{JRASC}} \newcommand\memras{\ref@jnl{MmRAS}} \newcommand\mnras{\ref@jnl{MNRAS}} \newcommand\na{\ref@jnl{New A}} \newcommand\nar{\ref@jnl{New A Rev.}} \newcommand\pra{\ref@jnl{Phys.~Rev.~A}} \newcommand\prb{\ref@jnl{Phys.~Rev.~B}} \newcommand\prc{\ref@jnl{Phys.~Rev.~C}} \newcommand\prd{\ref@jnl{Phys.~Rev.~D}} \newcommand\pre{\ref@jnl{Phys.~Rev.~E}} \newcommand\prl{\ref@jnl{Phys.~Rev.~Lett.}} \newcommand\pasa{\ref@jnl{PASA}} \newcommand\pasp{\ref@jnl{PASP}} \newcommand\pasj{\ref@jnl{PASJ}} \newcommand\qjras{\ref@jnl{QJRAS}} \newcommand\rmxaa{\ref@jnl{Rev. Mexicana Astron. Astrofis.}} \newcommand\skytel{\ref@jnl{S\&T}} \newcommand\solphys{\ref@jnl{Sol.~Phys.}} \newcommand\sovast{\ref@jnl{Soviet~Ast.}} \newcommand\ssr{\ref@jnl{Space~Sci.~Rev.}} \newcommand\zap{\ref@jnl{ZAp}} \newcommand\nat{\ref@jnl{Nature}} \newcommand\iaucirc{\ref@jnl{IAU~Circ.}} \newcommand\aplett{\ref@jnl{Astrophys.~Lett.}} \newcommand\apspr{\ref@jnl{Astrophys.~Space~Phys.~Res.}} \newcommand\bain{\ref@jnl{Bull.~Astron.~Inst.~Netherlands}} \newcommand\fcp{\ref@jnl{Fund.~Cosmic~Phys.}} \newcommand\gca{\ref@jnl{Geochim.~Cosmochim.~Acta}} \newcommand\grl{\ref@jnl{Geophys.~Res.~Lett.}} \newcommand\jcp{\ref@jnl{J.~Chem.~Phys.}} \newcommand\jgr{\ref@jnl{J.~Geophys.~Res.}} \newcommand\jqsrt{\ref@jnl{J.~Quant.~Spec.~Radiat.~Transf.}} \newcommand\memsai{\ref@jnl{Mem.~Soc.~Astron.~Italiana}} \newcommand\nphysa{\ref@jnl{Nucl.~Phys.~A}} \newcommand\physrep{\ref@jnl{Phys.~Rep.}} \newcommand\physscr{\ref@jnl{Phys.~Scr}} \newcommand\planss{\ref@jnl{Planet.~Space~Sci.}} \newcommand\procspie{\ref@jnl{Proc.~SPIE}} \let\astap=\aap
\let\apjlett=\apjl
\let\apjsupp=\apjs
\let\applopt=\ao
\newcommand\phn{\phantom{0}}\newcommand\phd{\phantom{.}}\newcommand\phs{\phantom{$-$}}\newcommand\phm[1]{\phantom{#1}}\let\la=\lesssim \let\ga=\gtrsim
\newcommand\sq{\mbox{\rlap{$\sqcap$}$\sqcup$}}\newcommand\arcdeg{\mbox{$^\circ$}}\newcommand\arcmin{\mbox{$^\prime$}}\newcommand\arcsec{\mbox{$^{\prime\prime}$}}\newcommand\fd{\mbox{$.\!\!^{\mathrm d}$}}\newcommand\fh{\mbox{$.\!\!^{\mathrm h}$}}\newcommand\fm{\mbox{$.\!\!^{\mathrm m}$}}\newcommand\fs{\mbox{$.\!\!^{\mathrm s}$}}\newcommand\fdg{\mbox{$.\!\!^\circ$}}\newcommand\farcm@mss{\mbox{$.\mkern-4mu^\prime$}}\let\farcm\farcm@mss
\newcommand\farcs@mss{\mbox{$.\!\!^{\prime\prime}$}}\let\farcs\farcs@mss
\newcommand\fp{\mbox{$.\!\!^{\scriptscriptstyle\mathrm p}$}}\newcommand\micron{\mbox{$\mu$m}}\def\farcm@apj{ \mbox{.\kern -0.7ex\raisebox{.9ex}{\scriptsize$\prime$}}}\def\farcs@apj{ \mbox{ \kern 0.13ex. \kern -0.95ex\raisebox{.9ex}{\scriptsize$\prime\prime$} \kern -0.1ex }}\newcommand\case[2]{\mbox{$\frac{#1}{#2}$}}\newcommand\slantfrac{\case}\newcommand\onehalf{\slantfrac{1}{2}}\newcommand\onethird{\slantfrac{1}{3}}\newcommand\twothirds{\slantfrac{2}{3}}\newcommand\onequarter{\slantfrac{1}{4}}\newcommand\threequarters{\slantfrac{3}{4}}\newcommand\ubvr{\mbox{$U\!BV\!R$}}\newcommand\ub{\mbox{$U\!-\!B$}}\newcommand\bv{\mbox{$B\!-\!V$}}\newcommand\vr{\mbox{$V\!-\!R$}}\newcommand\ur{\mbox{$U\!-\!R$}}\newcommand\ion[2]{#1$\;${\small\rmfamily\@Roman{#2}}\relax}\newcommand\nodata{ ~$\cdots$~ }\newcommand\diameter{\ooalign{\hfil/\hfil\crcr\mathhexbox20D}}\newcommand\degr{\arcdeg}\newcommand\Sun{\sun}\newcommand\Sol{\sun}\newcommand\sun{\odot}\newcommand\Mercury{\astro{\char1}}\newcommand\Venus{\astro{\char2}}\newcommand\Earth{\earth}\newcommand\Terra{\earth}\newcommand\earth{\oplus}\newcommand\Mars{\astro{\char4}}\newcommand\Jupiter{\astro{\char5}}\newcommand\Saturn{\astro{\char6}}\newcommand\Uranus{\astro{\char7}}\newcommand\Neptune{\astro{\char8}}\newcommand\Pluto{\astro{\char9}}\newcommand\Moon{\astro{\char10}}\newcommand\Luna{\Moon}\newcommand\Aries{\astro{\char11}}\newcommand\VEq{\Aries}\newcommand\Taurus{\astro{\char12}}\newcommand\Gemini{\astro{\char13}}\newcommand\Cancer{\astro{\char14}}\newcommand\Leo{\astro{\char15}}\newcommand\Virgo{\astro{\char16}}\newcommand\Libra{\astro{\char17}}\newcommand\AEq{\Libra}\newcommand\Scorpius{\astro{\char18}}\newcommand\Sagittarius{\astro{\char19}}\newcommand\Capricornus{\astro{\char20}}\newcommand\Aquarius{\astro{\char21}}\newcommand\Pisces{\astro{\char22}}\def\load@astro{ \dimen@=1\aas@ptsize\p@
\font\astro@font=Astrosym at\dimen@
}\def\astro#1{\leavevmode\hbox{\astro@font#1}}\def\astro@font{ \ClassWarning{aastex}{ Please use class option `astro', since you are using the astro font. }}\newcommand\sbond{\chem@bnd{\@sbnd}}\newcommand\dbond{\chem@bnd{\@dbnd}}\newcommand\tbond{\chem@bnd{\@tbnd}}\def\chem@bnd#1{ { \kern.1em\relax
\setbox\z@\hbox{M} \dimen@ii.8em\relax
\p@=.1em\relax
\dimen@.5\ht\z@\dimen@i-\dimen@
\advance\dimen@1.5\p@\advance\dimen@i-1.0\p@
#1 \kern.1em\relax
} }\def\@sbnd{ \advance\dimen@-1.5\p@\advance\dimen@i1.5\p@
\vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
}\def\@dbnd{ \advance\dimen@-0.5\p@\advance\dimen@i0.5\p@
\vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
\advance\dimen@-1.5\p@\advance\dimen@i1.5\p@
\hskip-\dimen@ii
\vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
}\def\@tbnd{ \vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
\advance\dimen@-1.5\p@\advance\dimen@i1.5\p@
\hskip-\dimen@ii
\vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
\advance\dimen@-1.5\p@\advance\dimen@i1.5\p@
\hskip-\dimen@ii
\vrule\@height\dimen@\@depth\dimen@i\@width\dimen@ii\nobreak
}\renewcommand\LaTeX{ \leavevmode
L \raise.42ex\hbox{ \count@=\the\fam
$\fam\count@\scriptstyle\kern-.3em A$ } \kern-.15em\TeX
}\newcommand\anchor[2]{#2}\newcommand\url{\@dblarg\@url}\def\@url[#1]{\anchor{#1}}\def\@text@email#1{#1}\def\authoremail{\substitute@command\authoremail\email}\newcommand\objectname{\@testopt\@objectname{[}}
\def\@objectname[#1]#2{#2}\newcommand\object{\@testopt\@object{[}}\def\@object[#1]#2{#2}\newcommand\facility{\@testopt\@facility{[}}\def\@facility[#1]#2{#2}\newcommand\supportfrom{\@testopt\@supportfrom{[}}\def\@supportfrom[#1]#2{#2}\newcommand\dataset{\@testopt\@dataset{[}}\def\@dataset[#1]#2{#2}\newcommand\sizrpt{ (\fontname\the\font): em=\the\fontdimen6\font, ex=\the\fontdimen5\font
\typeout{ (\fontname\the\font): em=\the\fontdimen6\font, ex=\the\fontdimen5\font
}}\def\aas@preprint{ \def\revtex@genre{preprint} \let\ptlandscape\@empty
\setlength\@slugcmmntwidth{.67\textwidth} \let\@makeslugcmmnt\@makeslugcmmnt@ppt
\let\@abstract\@abstract@ppt
\let\make@title\make@title@ppt
\let\make@affil\make@affil@ppt
\let\notetoeditor\@gobble
\let\clear@section@page\@empty
\let\placetable\@gobble
\let\placefigure\@gobble
\let\placeplate\@gobble
\let\typeout@deluxetable\typeout@deluxetable@ppt
\let\typeout@pt@nl\typeout@pt@nl@mss
\ps@plaintop
\let\references@refpar\references@refpar@mss
\let\cutinhead\cutinhead@ppt
\def\pt@headfrac@ass@normalsize{.1}
\def\pt@headfrac@ass@footnotesize{.12}
\def\pt@headfrac@ass@scriptsize{.15}
\def\pt@notemin@normal{4.5}
\def\pt@notemin@footnote{4.5}
\def\pt@notemin@script{5}
}\@namedef{aas@preprint2}{ \aas@preprint
\def\revtex@genre{2-column preprint} \ps@plain
\@twocolumntrue
\@rightskip=\z@\@plus4em
\rightskip\@rightskip
\opt@just
\just@just \setlength\parindent{1.2em} \setlength\parskip{0.5ex} \setlength\columnsep{0.5in} \setlength\hoffset{-0.2in} \tolerance=600
\setlength\emergencystretch{6\p@} \def\baselinestretch{1.0} \def\@tightleading{1.0} \let\singlespace\@empty
\let\doublespace\@empty
\let\@dates\@dates@pptt
\let\@abstract\@abstract@pptt
\let\make@title\make@title@pptt
\let\make@author\make@author@pptt
\let\make@affil\make@affil@pptt
\let\@keywords\@keywords@pptt
\setlength{\skip\footins}{3ex\@plus1ex\@minus.5ex} \setlength\footnotesep{2ex} \let\@makefntext\@makefntext@pptt
\let\section\section@pptt
\let\subsection\subsection@pptt
\let\subsubsection\subsubsection@pptt
\let\section@centering\@empty
\let\appendix@figtab@defs\appendix@figtab@defs@pptt
\def\clear@thebibliography@page{ \if@restonecol\if@twocolumn\else\twocolumn\fi\fi
} \let\references@refpar\references@refpar@pptt
\let\thebib@list\thebib@list@pptt
\let\@tablenotes\@tablenotes@pptt
\let\fnum@ptablecont\fnum@ptablecont@pptt
\let\@make@caption@text\@make@caption@text@pptt
\let\@makecaption@plano@cont\@makecaption@plano@cont@pptt
\let\cutinhead\cutinhead@ppt
\def\@plano@float@{\@dblfloat} \def\end@plano@float@{\end@dblfloat} \let\@tablecom\@tablecom@pptt
\def\pt@headfrac@ass@normalsize{.12}
\def\pt@headfrac@ass@footnotesize{.15}
\def\pt@headfrac@ass@scriptsize{.18}
\def\pt@notemin@normal{5}
\def\pt@notemin@footnote{5}
\def\pt@notemin@script{5}
}\def\section@pptt{ \@startsection{section}{1} {\z@}{2.3ex\@plus1ex\@minus.2ex} {1.5ex\@plus.2ex}{\normalsize\bfseries}}\def\subsection@pptt{ \@startsection{subsection}{2} {\z@}{2ex\@plus1ex\@minus.2ex}{1ex\@plus.2ex}{\normalsize\bfseries}}\def\subsubsection@pptt{ \@startsection{subsubsection}{3} {\z@}{2ex\@plus1ex\@minus.2ex}{1ex\@plus.2ex}{\normalsize\itshape}}\def\aas@manuscript{ \def\revtex@genre{manuscript} \let\ptlandscape\@empty
\def\baselinestretch{\@doubleleading} \let\footnote@size\@empty
\def\tighten{\def\baselinestretch{\@doubleleading}} \def\singlespace{} \def\doublespace{} \opt@tighten
\setlength\@slugcmmntwidth{\textwidth} \let\@makeslugcmmnt\@makeslugcmmnt@mss
\@rightskip=\z@\@plus4em
\rightskip\@rightskip
\opt@just
\let\sluginfo\sluginfo@mss
\let\@abstract\@abstract@mss
\let\@keywords\@keywords@mss \let\make@title\make@title@mss
\def\clear@section@page{\clearpage} \def\clear@thebibliography@page{\clearpage} \let\typeout@deluxetable\typeout@deluxetable@mss
\let\typeout@pt@nl\typeout@pt@nl@mss
\ps@plaintop
\let\references@refpar\references@refpar@mss
\def\pt@headfrac@ass@normalsize{.08}
\def\pt@headfrac@ass@footnotesize{.1}
\def\pt@headfrac@ass@scriptsize{.12}
\def\pt@notemin@normal{3}
\def\pt@notemin@footnote{3}
\def\pt@notemin@script{4}
}\def\journal{\@gobble}\def\volume{\@gobble}\def\issue{\@gobble}\def\SGMLbi#1{#1}\def\SGMLbsc#1{#1}\def\SGMLclc#1{#1}\def\SGMLentity#1{\}\def\SGML{\@gobble}\newif\if@printfoot\global\@printfoottrue\global\newbox\my@footins
\gdef \@makecol@pptt { \ifvoid\footins
\setbox\@outputbox \box\@cclv
\else
\if@printfoot
\else
\global\setbox\my@footins\vbox{\box\footins}
\fi
\setbox\@outputbox \vbox{ \global\setbox\footins\vbox{\unvbox\my@footins\unvbox\footins}
\boxmaxdepth \@maxdepth
\unvbox\@cclv
\if@printfoot
\vskip\skip\footins
\color@begingroup
\normalcolor
\footnoterule
\unvbox \footins
\color@endgroup
\else
\global\@printfoottrue
\fi
} \fi
\xdef\@freelist{\@freelist\@midlist} \global \let \@midlist \@empty
\@combinefloats
\ifvbox\@kludgeins
\@makespecialcolbox
\else
\setbox\@outputbox \vbox to \@colht{ \@texttop
\dimen@ \dp\@outputbox
\unvbox \@outputbox
\ifbotragg \vskip -\dimen@
\@textbottom
\fi
} \fi
\global \maxdepth \@maxdepth
}
\iflong@abstract
\newtoks\juo@sar \juo@sar={}
\def\@ca#1#2#3#4{}
\@ifundefined{stripsep}{\newskip\stripsep\stripsep 15pt}{}
\newskip\m@addvipersep
\m@addvipersep\z@
\newskip\c@addvipersep
\c@addvipersep\z@
\newdimen\ht@strip
\newdimen\right@cor
\newdimen\cor@height \cor@height=0pt
\newdimen\juo@pr
\newdimen\juo@ht
\newbox\@viper
\newcount\juo@sk
\newdimen\c@colht
\newbox\my@outputbox
\def\add@strip#1#2#3#4{\begingroup \xdef\ex@{\global\noexpand\juo@sar{\the\juo@sar\noexpand\@ca{#1}{#2}{#3}{#4}}}\ex@\endgroup}
\def\remove@strip#1{\ifx#1\@empty\global\juo@sk=0\else
\global\advance\juo@sk by-1\expandafter\next@item\the #1\@@#1\fi}
\def\next@item \@ca#1#2#3#4#5\@@#6{\global #6={#5}\global\juo@pr=#1\global\juo@ht=#2\global\cor@height=#3\global\m@addvipersep=#4}
\def\strip{\@ifnextchar[{\@strip}{\@strip[0pt/0pt]}}
\def\@strip[#1/#2]{\global\@tempdima=#1\global\@tempdimb=#2 \global \setbox\@viper\vbox\bgroup \hsize\textwidth
\@parboxrestore
\col@number \@ne
\vrule height\topskip width\z@ depth\z@}
\def\endstrip{ \egroup
\if@firstcolumn
\ifdim\pagetotal>\z@
\global\ht@strip\pagegoal
\global\advance\ht@strip by-\pagetotal
\global\advance\ht@strip by-\stripsep
\global\advance\ht@strip by-\ht\@viper
\global\advance\ht@strip by-\stripsep
\global\juo@ht=\ht\@viper
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\global\ht@strip\z@
\fi
\ifdim\ht@strip>\z@
\add@strip{\the\pagetotal}{\the\juo@ht}{\the\@tempdima}{\the\@tempdimb} \global\advance\juo@sk by1
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\fi
}
\newif\ifbotragg\botraggfalse
\def\@outputdblcol@pptt{\if@firstcolumn
\global\@firstcolumnfalse
\global\setbox\@leftcolumn\box\@outputbox
\global\c@colht\@colht\global\c@addvipersep\z@
\ifnum\juo@sk>0
\remove@strip\juo@sar
\global\@colht\the\juo@pr
\global\@printfootfalse
\ifdim\right@cor>\z@
\global\advance\@colht by\right@cor
\fi
\global\advance\@colht by\cor@height
\global\cor@height=0pt
\fi
\else
\ifdim\c@colht>\@colht \@tempdima\@colht \ifdim\@colht>\z@ \ifvoid\footins \else \vskip-\skip\footins \fi \splittopskip0pt \setbox\my@outputbox\vbox{ \vspace*{\@colht} \global\botraggfalse \vskip.7\baselineskip \vsplit\@outputbox to \baselineskip \unvbox\@outputbox} \unvbox\my@outputbox \ifvoid\my@outputbox \global\botraggtrue
\fi \global \@printfoottrue
\global\c@addvipersep\m@addvipersep \else \fi \ifnum\juo@sk>0 \else \global\@colht\c@colht \fi \else \global \@firstcolumntrue \global\setbox\@outputbox\vbox to \ht\@leftcolumn{\unvbox\@outputbox} \setbox\@outputbox \vbox{\hb@xt@\textwidth { \hb@xt@\columnwidth {\box\@leftcolumn \hss} \hfil
\vrule \@width\columnseprule
\hfil
\hb@xt@\columnwidth{\box\@outputbox \hss}} \vss} \@combinedblfloats
\@outputpage
\begingroup
\@dblfloatplacement
\@startdblcolumn
\@whilesw\if@fcolmade \fi
{\@outputpage\@startdblcolumn} \endgroup
\global\juo@sk=0\global\juo@sar={} \global\cor@height\z@\global\c@addvipersep\z@
\fi
\fi
}
\fi
\endinput