%--- PAGE DIMENSIONS
\magnification=\magstep1
\voffset= 0.0 truein
\hoffset=0.0 truein
\vsize=9.0 truein
\hsize=6.5 truein
\parskip=5truept plus2truept
\baselineskip 0.25 truein
\raggedbottom

 %--- DEFINED FONTS
\font\roman=cmr10 
\font\medium=cmr10 scaled 1152
\font\bigbf=cmbx10 scaled\magstep5
%-----------%
%  SYMBOLS  %
%-----------%
\def\ctrline#1{\centerline{#1}}
\newbox\grsign \setbox\grsign=\hbox{$>$} \newdimen\grdimen \grdimen=\ht\grsign
\newbox\simlessbox \newbox\simgreatbox
\setbox\simgreatbox=\hbox{\raise.5ex\hbox{$>$}\llap
     {\lower.5ex\hbox{$\sim$}}}\ht1=\grdimen\dp1=0pt
\setbox\simlessbox=\hbox{\raise.5ex\hbox{$<$}\llap
     {\lower.5ex\hbox{$\sim$}}}\ht2=\grdimen\dp2=0pt
\def\simgreat{\mathrel{\copy\simgreatbox}}
\def\simless{\mathrel{\copy\simlessbox}}
\def\blankline{\par\vskip \baselineskip}
\def\HII{\hbox{H\hskip 2trueptII }}
\def\degns{\ifmmode^\circ\else$^\circ$\fi}
\def\deg{\ifmmode^\circ\else$^\circ$\fi\ }
\def\solar{\ifmmode_{\mathord\odot}\else$_{\mathord\odot}$\fi}
\def\arcs{\char'175\ }
\def\arcm{\char'023\ }
\def\arcmm{.\llap{$^{\prime}$}}
\def\kms{~km~s$^{-1}$\ }
\def\app{$\approx$~}
\def\eg{e.g.,\ }
\def\ie{i.e.,\ }
\def\etal{et~al.\ }
\def\etalc{et~al.,\ }
\def\res{\hangindent= 1.0 truein \hangafter -10 \noindent}
\def\resa{\hangindent= 2.0 truein \hangafter -10 \noindent}
\def\resb{\hangindent= 0.5 truein \hangafter -10 \noindent}
\def\Received{\par\vskip 36 pt
	\ctrline{\it Received 1991 \vrule height -1 pt width 2.5 in
	depth 1.8 pt .}\par\blankline}
\def\ABSTRACT{\par\vfil\eject\vbox to 1in{} \ctrline{\bf ABSTRACT}
	\par\vskip .5in \rm}
\def\ADDRESS{\par\vfil\eject
             \section{\ctrline{AUTHORS' ADDRESSES}}\endsection
             \parindent=0pt \parskip=0pt \obeylines}


%
% MACROS.TEX contains generally useful macros, but not those specifically 
%            useful for paper formats.
%
\newcount\figureno  \newcount\tableno
\figureno=0         \tableno=0
%
\newbox\tablebox    \newdimen\tablewidth
%
\def\smallformat{\hsize=5.5truein\hoffset=0.5truein
    \vsize=8truein\voffset=0.5truein\parskip=1pt}
\def\largeformat{\hsize=6.5truein\hoffset=0.0truein
    \vsize=8.5truein\voffset=0.0truein}
%
\def\section#1 #2\par{\vskip .5cm \goodbreak
    \centerline{{\sr#1.\ #2}}\nobreak\medskip}
\def\subsection#1 #2\par{\vskip .3cm 
    \ifdim\lastskip=\medskipamount \nobreak \else\goodbreak\fi
    \centerline{{\it#1\/})\ {\it #2}}\nobreak\medskip}
\def\subsubsection#1 #2\par{\vskip .3cm 
    \ifdim\lastskip=\medskipamount \nobreak \else\goodbreak\fi
    \centerline{{\er#1)}\ {\si #2}}\nobreak\medskip}
%
\def\today{\number\day\space \ifcase\month\or January\or February\or 
    March\or April\or May\or June\or July\or August\or 
    September\or October\or November\or December\fi \space\number\year}
%
\def\deg{\ifmmode ^{\circ}
         \else $^{\circ}$\fi}
\def\pdeg{\ifmmode 
           $\setbox0=\hbox{$^{\circ}$}\rlap{\hskip.11\wd0 .}$^{\circ}
     \else \setbox0=\hbox{$^{\circ}$}\rlap{\hskip.11\wd0 .}$^{\circ}$\fi}
%
\def\arcs{\ifmmode {''}\else $''$\fi}
\def\arcm{\ifmmode {'}\else $'$\fi}
\newdimen\sa  \newdimen\sb
\def\parcs{\sa=.07em \sb=.03em
     \ifmmode $\rlap{.}$^{\scriptscriptstyle\prime\kern -\sb\prime}$\kern -\sa$
     \else \rlap{.}$^{\scriptscriptstyle\prime\kern -\sb\prime}$\kern -\sa\fi}
\def\parcm{\sa=.08em \sb=.03em
     \ifmmode $\rlap{.}\kern\sa$^{\scriptscriptstyle\prime}$\kern-\sb$
     \else \rlap{.}\kern\sa$^{\scriptscriptstyle\prime}$\kern-\sb\fi}
%
\def\et{{\it et al.}\ }
\def\exp#1 {\ifmmode \times 10^{#1}
            \else $\times 10^{#1}$\fi}
\def\page{\vfill\eject}
\def\leaderfil{\leaders\hbox to 5pt{\hss.\hss}\hfil}
%
%--------------%
%  REFERENCES  %
%--------------%
\def\jref#1 #2 #3 #4 {{\par\noindent \hangindent=3em \hangafter=1 
      \advance \rightskip by 5em #1, {\it#2}, {\bf#3}, #4.\par}}
\def\ref#1{{\par\noindent \hangindent=3em \hangafter=1 
      \advance \rightskip by 5em #1.\par}}
%\def\refindent{\hangindent=1em \hangafter=1 \noindent}
%\def\ref #1;#2;#3;#4\par{\refindent #1,{\it #2},{\bf #3},#4.\par}
%\def\bref #1;#2;#3\par{\refindent #1, in{\it #2}, ed.#3.\par}
%\def\vref #1\par{\refindent #1.\par}
%
%
% 
% PMACROS are used for Ap. J. format
% Revised version, with automatic footnote increment and caption and table 
%         files.   2/03/86
%
%
\newif\iftform      \newif\ifmform      \newif\ifdraft
\newcount\toes      \toes=0
\newif\ifcapsopen   \newif\iftabsopen
\newwrite\caps      % file \caps=figures.jnk is opened in first call to \figure
\newwrite\tabs      % file \tabs=tables.jnk is opened if first call to \table
%
\def\typeset{\tformtrue\mformfalse\parskip 1pt\hfuzz=3pt
     \hsize=5.5truein\vsize=8truein\hoffset=0.5truein\voffset=0.5truein}
\def\manuscript{\tformfalse\mformtrue
     \hsize=6.5truein\vsize=8.5truein\hoffset=0.0truein\voffset=.25truein
     \twelvepoint\hyphenpenalty=300\exhyphenpenalty=300\raggedright}
%
\def\raggedright{\rightskip=0pt plus6em
    \spaceskip=.3333em \xspaceskip=.5em }
\def\draft{\drafttrue}
\def\drafthead{\ifdraft
       {\eightrm Draft \number\month /\number\day /\number\year} \fi}
%
\def\received{\vskip 2pt
    \centerline{{\it Received}\rcvrule;}
    \ifmform \runtitle \fi}
\def\datereceived#1\par{\vskip 2pt
    \centerline{{\it Received #1; accepted\rcvrule}}
    \ifmform \runtitle \fi}
\def\rcvrule{\hskip 4pt\vrule height 0pt width 90pt depth 1pt}
\def\runtitle{\vskip 1in
    \centerline{{\it Running Title:}\quad\title}}
\def\abstract "#1" "#2"{\ifmform \page\fi
   {\iftform \advance\leftskip by .25in \advance\rightskip by .25in\fi
    \vskip .7cm \centerline{ABSTRACT} \vskip .3cm
    #1
    \vskip 1pt
    {\setbox3=\hbox{\it Subject headings:\quad}
     \hangindent=\wd3  \hangafter=1  \noindent
     \box3 #2 \par}}
    \ifmform \page\fi}
\def\ajabstract "#1"{\ifmform \page\fi
   {\iftform \advance\leftskip by .25in \advance\rightskip by .25in\fi
    \vskip .7cm \centerline{ABSTRACT} \vskip .3cm 
    #1}
    \ifmform \page\fi}
%
%
 %--- page numbers
\pageno=1
\nopagenumbers
\headline={\ifodd\pageno\rightheadline \else\leftheadline\fi}
\def\rightheadline{\tenrm\hfil\folio}
\def\leftheadline{\tenrm\folio\hfil}
\def\tables{\ifmform \page\tableno=0
            \immediate\closeout\tabs  \input tables.jnk \fi}
\def\figures{\ifmform \page\figureno=0
            \centerline{FIGURE CAPTIONS}\vskip .7cm
            \immediate\closeout\caps  \input figures.jnk \fi}
\def\figure #1 {\advance\figureno by 1
        \ifmform \ifcapsopen\relax
                 \else\immediate\openout\caps=figures.jnk\capsopentrue\fi
            \vskip .7cm
            \centerline{FIGURE \number\figureno}
            \vskip .7cm
            \immediate\write\caps{\string\efigure}\copytoblankline
        \fi%
        \iftform \eightpoint
           \ifdim#1>7.995in \pageinsert\vskip 0pt plus 16000fill
               F{\sc IG} \number\figureno .---\readtoblankline
           \fi
           \ifdim#1<7.995in \midinsert\vskip #1
              F{\sc IG} \number\figureno .---\readtoblankline
           \fi
        \fi}
%
\def\etable #1\par{\advance\tableno by 1
            \ifmform \vfill{\eightpoint\input #1 }\page \fi}
\def\efigure #1\par{\advance\figureno by 1
               \ifmform F{\sr IG} \number\figureno .---#1\par\fi}
%
%\outer\def\copytab #1{\begingroup%\setupcopy
%            \immediate\write\tabs{\string\etable \space#1\string\par}\endgroup}
%
\def\readtoblankline{\obeylines\readcap}
{\obeylines  \gdef\readcap#1 
  {\def\next{#1}%
   \ifx\next\empty\let\next=\endread %
   \else\next\space \let\next=\readcap\fi\next}}
\def\endread{\vfil\endinsert\tenpoint}
%
\def\copytoblankline{\begingroup\setupcopy\copycap}
{\obeylines  \gdef\copycap#1
  {\def\next{#1}%
   \ifx\next\empty\let\next=\endcopy %
   \else\immediate\write\caps{\next} \let\next=\copycap\fi\next}}
\def\endcopy{\endgroup\immediate\write\caps{\string\par}}
%
\chardef\other=12
\def\setupcopy{\def\do##1{\catcode`##1=\other}\dospecials
               \catcode`\|=\other \obeylines}
\gdef\copyit#1{\immediate\write\caps{#1\string\par}}
%
%
\def\references{\ifmform \page
                \else \vskip 1.2cm \goodbreak \fi
                \centerline{{\sr REFERENCES}}\nobreak\medskip
                \iftform \begingroup\eightpoint\fi}

\def\endreferences{\iftform \endgroup\fi}
\def\addresses{\ifmform \page
            \centerline{AUTHOR'S ADDRESSES}\vskip 8pt\noindent\fi
            \iftform \vskip 2cm minus 1cm
                     \begingroup\parindent=0pt\parskip=3pt\fi}
\def\endaddresses{\iftform \endgroup\fi}
%
\def\foot#1{\advance\toes by 1
     \ifmform $^{\number\toes}$\vadjust{
        \kern\baselineskip\hrule\vskip 7pt\noindent$^{\number\toes}$ #1
        \vskip 7pt\hrule\vskip\baselineskip}
     \else{\eightpoint
        \unskip\unskip\unskip\unskip\unskip\footnote{$^{\number\toes}$}{#1}}\fi}
\def\specialfoot#1#2{
     \ifmform $^{#1}$\vadjust{
        \kern\baselineskip\hrule\vskip 7pt\noindent$^{#1}$ #2
        \vskip 7pt\hrule\vskip\baselineskip}
     \else{\eightpoint
        \unskip\unskip\unskip\unskip\unskip\footnote{$^{#1}$}{#2}}\fi}
\def\boxit#1{\vbox{\hrule\hbox{\vrule\hskip 6pt
    \vbox{\vskip 6pt #1 \vskip 6pt}\hskip 6pt\vrule}\hrule}}
\def\preprint#1{\setbox4=\vbox{\hsize 4truein \noindent \strut 
    This is a preprint of a manuscript submitted to {\it #1}. No
    bibliographic reference should be made to this preprint. 
    Permission to cite material in this paper must be received 
    from the authors.\strut\par} \centerline{\boxit{\box4}}}
\def\accepted#1{\setbox4=\vbox{\hsize 4truein \noindent \strut 
    This is a preprint of a manuscript accepted for publication in {\it #1}.
    \strut\par} \centerline{\boxit{\box4}}}
%
% RIKMAC My personal macros
%-------------%
%  PAGE SIZE  %
%-------------%
\def\setpage{
\hsize=6.5 truein
\vsize=8.8 truein}
\def\expand{
\advance \hsize by +0.1 true in \advance \hoffset by -0.05 true in
\advance \vsize by +0.1 true in \advance \voffset by -0.05 true in}
\def\contract{
\advance \hsize by -0.1 true in \advance \hoffset by +0.05 true in
\advance \vsize by -0.1 true in \advance \voffset by +0.05 true in}
%--------------------------------%
%  GENERALLY USEFUL DEFINITIONS  %
%--------------------------------%
\def\ricks{\parindent=0.5 truein \hfuzz=10pt
        \hyphenpenalty=500 \tolerance=1200 \hbadness=1200}
\def\undertext#1{$\underline{\smash{\vphantom{#1}\hbox{#1}}}$}
\def\oneskip{\vskip\baselineskip}
\def\singlespace{\baselineskip 12pt \lineskip 2pt  \parskip 12pt plus 1pt}
\def\mediumspace{\baselineskip 18pt \lineskip 6pt  \parskip 18pt plus 6pt}
\def\doublespace{\baselineskip 24pt \lineskip 10pt \parskip 24pt plus 10pt}
\def\clock{\count0=\time \divide\count0 by 60
    \count1=\count0 \multiply\count1 by -60 \advance\count1 by \time
    \number\count0:\ifnum\count1<10{0\number\count1}\else\number\count1\fi}
%-----------%
%  SYMBOLS  %
%-----------%
\def\deg{\ifmmode^\circ\else$^\circ$\fi}
\def\solar{\ifmmode_{\mathord\odot}\else$_{\mathord\odot}$\fi}
\def\er{\relax} \def\sr{\relax}
\def\ls{{_<\atop^{\sim}}}
\def\gs{{_>\atop^{\sim}}}
\def\mic{~$\mu$m}
%----------------------------------%
%  INCREMENTAL EQUATION NUMBERING  %
%----------------------------------%
\newcount\eqnum
\def\nexteq{\global\advance\eqnum by1 \eqno(\number\eqnum)}
\def\lasteq#1{\if)#1[\number\eqnum]\else(\number\eqnum)\fi#1}
\def\preveq#1#2{{\advance\eqnum by-#1
    \if)#2[\number\eqnum]\else(\number\eqnum)\fi}#2}

\def\page{\vfill\eject}
\def\etal{\it et al. \rm }
\def\pagenumbers{\footline={\hss\tenrm\folio\hss}}
%----------%
%  TABLES  %
%----------%
\def\endtable{\endgroup}
\def\tableheight{\vrule width 0pt height 8.5pt depth 3.5pt}
{\catcode`|=\active \catcode`&=\active 
    \gdef\tabledelim{\catcode`|=\active \let|=\vbar
                     \catcode`&=\active \let&=\nobar} }
\def\table{\begingroup
    \def\twidth{\hsize}
    \def\tablewidth##1{\def\twidth{##1}}
    \def\defaultheight{\vrule width 0pt height 8.5pt depth 3.5pt}
    \def\heightdepth##1{\dimen0=##1
        \ifdim\dimen0>5pt 
            \divide\dimen0 by 2 \advance\dimen0 by 2.5pt
            \dimen1=\dimen0 \advance\dimen1 by -5pt
            \vrule width 0pt height \the\dimen0  depth \the\dimen1
        \else  \divide\dimen0 by 2
            \vrule width 0pt height \the\dimen0  depth \the\dimen0 \fi}
    \def\spacing##1{\def\defaultheight{\heightdepth{##1}}}
    \def\nextheight##1{\noalign{\gdef\tableheight{\heightdepth{##1}}}}
    \def\end{\cr\noalign{\gdef\tableheight{\defaultheight}}}
    \def\zerowidth##1{\omit\hidewidth ##1 \hidewidth}    
    \def\hline{\noalign{\hrule}}
    \def\skip##1{\noalign{\vskip##1}}
    \def\bskip##1{\noalign{\hbox to \twidth{\vrule height##1 depth 0pt \hfil
        \vrule height##1 depth 0pt}}}
    \def\header##1{\noalign{\hbox to \twidth{\hfil ##1 \unskip\hfil}}}
    \def\bheader##1{\noalign{\hbox to \twidth{\vrule\hfil ##1 
        \unskip\hfil\vrule}}}
    \def\spanloop{\span\omit \advance\mscount by -1}
    \def\extend##1##2{\omit
        \mscount=##1 \multiply\mscount by 2 \advance\mscount by -1
        \loop\ifnum\mscount>1 \spanloop\repeat \ \hfil ##2 \unskip\hfil}
    \def\vbar{&\vrule&}
    \def\nobar{&&}
    \def\hdash##1{ \noalign{ \relax \gdef\tableheight{\heightdepth{0pt}}
        \toks0={} \count0=1 \count1=0 \putout##1\end 
        \toks0=\expandafter{\the\toks0 &\end} \xdef\piggy{\the\toks0} }
        \piggy}
    \let\e=\expandafter
    \def\putspace{\ifnum\count0>1 \advance\count0 by -1
        \toks0=\e\e\e{\the\e\toks0\e&\e\multispan\e{\the\count0}\hfill} 
        \fi \count0=0 }
    \def\putrule{\ifnum\count1>0 \advance\count1 by 1
        \toks0=\e\e\e{\the\e\toks0\e&\e\multispan\e{\the\count1}\leaders\hrule\hfill}
        \fi \count1=0 }
    \def\putout##1{\ifx##1\end \putspace \putrule \let\next=\relax 
        \else \let\next=\putout
            \ifx##1- \advance\count1 by 2 \putspace
            \else    \advance\count0 by 2 \putrule \fi \fi \next}   }
\def\tablespec#1{
    \def\vdimens{\noexpand\tableheight}
    \def\tabby{\tabskip=0pt plus100pt minus100pt}
    \def\r{&################\tabby&\hfil################\unskip}
    \def\c{&################\tabby&\hfil################\unskip\hfil}
    \def\l{&################\tabby&################\unskip\hfil}
    \edef\templ{\noexpand\vdimens ########\unskip  #1 
         \unskip&########\tabskip=0pt&########\cr}
    \tabledelim
    \edef\body##1{ \vbox{
        \tabskip=0pt \offinterlineskip
        \halign to \twidth {\templ ##1}}} }