Changeset 4530 for trunk/doc/pslib/psLibADD.tex

Timestamp:

Jul 11, 2005, 9:17:38 AM (21 years ago)

Author:

eugene

Message:

updated robust stats

File:

• trunk/doc/pslib/psLibADD.tex (modified) (11 diffs)

trunk/doc/pslib/psLibADD.tex

@@ -1 @@
-%%% $Id: psLibADD.tex,v 1.82 2005-07-09 02:25:56 eugene Exp $
+%%% $Id: psLibADD.tex,v 1.83 2005-07-11 19:17:38 eugene Exp $
 \documentclass[panstarrs]{panstarrs}
 
@@ -1811 +1811 @@
 is broken down into a number of steps as described below.
 
-\paragraph{Reference Implementations}
-
-There are two reference implementatins for the code to account for the
+\subsubsection{Reference Implementations}
+
+There are two reference implementations for the code to account for the
 motion of the Earth in space. The first are the sample routines
 provided by the IERS to accompany chaper 5 of IERS Bulletin
@@ -2234 +2234 @@
 
 \paragraph{Atmospheric Refraction}
+\newcommand\citep[1]{\textit{#1}}
+\newcommand\citet[1]{\textit{#1}}
 
 {\em The following discussion is adapted from an article by Ken Chambers}
-\newcommand\citep{\em}
-\newcommand\citet{\em}
 
 The hypsometric structure and index of refraction of the Earth's
@@ -2313 +2313 @@
 divided into separate subsections.
 
-\subsection{Observatory height}
+\subparagraph{Observatory height}
 
 The height of the observatory from the geometric center 
@@ -2330 +2330 @@
       (i.e. a local plumb line). 
 
-\subsection{The magnitude of normal gravity at the observatory }
+\subparagraph{The magnitude of normal gravity at the observatory }
                                                                                 
 The local magnitude of normal gravity
@@ -2391 +2391 @@
 
 
-\subsection{The scale height above the observatory} 
+\subparagraph{The scale height above the observatory} 
 
 The scale height of the atmosphere above the observatory is
@@ -2496 +2496 @@
 \end{equation}
 
-\subsection{The index of refraction of moist air at the observatory}
+\subparagraph{The index of refraction of moist air at the observatory}
 
 The Ciddor equation for the index of refraction of moist air 
@@ -2594 +2594 @@
 \end{table}
 
-
-\subsection{The tropopause term in the equation of refraction}
+\subparagraph{The tropopause term in the equation of refraction}
 
 The final term in the Refraction Equation (2) 
@@ -2625 +2624 @@
 \end{equation}
 
-\subsection{Calculating the atmospheric refraction from both 
-            the observed and true zenith angle} 
+\subparagraph{Calculating the atmospheric refraction from both 
+  the observed and true zenith angle}
 
 The monochromatic refraction can now be calculated for any given wavelength
@@ -2671 +2670 @@
 \end{equation}
 
-\section{Atmospheric Dispersion}    
-
-The atmospheric dispersion is then
-\begin{equation}
-{ \overline{(R- \bar R)^2}}  = {{\int (R - \bar R)^2 N_{\lambda} d \lambda} \over 
-                           {\int N_{\lambda} d\lambda}}  
-\end{equation}
-
-\section{Air Mass and Extinction}    
+\subsubsection{Air Mass and Extinction}    
 
 By Laplace's theorem, the monochromatic airmass (mass per unit area
@@ -2715 +2706 @@
 accurate expression for airmass should lead to improved extinction
 corrections at high airmass.  
-
-\section{Limits to ground based relative and absolute astrometry}   
-
-The limits to ground based astrometry may well be our abilitiy to 
-measure the atmospheric profile along the line of sight of a given 
-observation, and the systematic limit of the telescope axes encoders
-(and sophistication of the telescope mount model.) 
-The refratction model above requires only the additional data of
-the temperature, height, and presure of the tropopause, but much more
-detailed atmospheric information will be available for PS1 from our sky
-probes which measure atmospheric absorption for each field and even,
-phase drifts of GPS clocks from Rubidium or Cesium standard clocks. 
-These can be converted directly into a nearby line of sight index of refraction
-at optical wavelengths. Thus we encourage wide field survey telescopes to
-err on the side of over instrumenting the accuracy and repeatibility 
-of the axes encoders.  
-
-
 
 \subsection{Projections}