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+<!DOCTYPE html PUBLIC "-//w3c//dtd html 4.0 transitional//en">
+<html><head>
+            
+  <meta http-equiv="Content-Type" content="text/html; charset=windows-1252">
+            
+  <meta name="GENERATOR" content="Mozilla/4.75 [en] (X11; U; SunOS 5.7 sun4u) [Netscape]">
+  <title>Heliospheric Coordinate Systems</title>
+</head>
+  <body bgcolor="#ffffff">
+      
+<center>   
+<h1> Heliospheric Coordinate Systems</h1>
+  </center>
+      
+<center><img src="refs_mps_fichiers/eulerian.gif" width="378" height="295">
+     
+<p><b>M.Fränz</b> </p>
+   
+<p><b><a href="http://www.space-plasma.qmul.ac.uk/">Space Plasma Group</a>
+  </b> <br>
+  <b><a href="http://www.astro.qmul.ac.uk/">Astronomy 
+Unit</a>
+  </b> <br>
+  <a href="http://www.qmul.ac.uk/"><img src="refs_mps_fichiers/QM_logo_small_blue_transparent.gif" width="266" height="72">
+  </a>
+  </p>
+  </center>
+      
+<p><br>
+   <br>
+   <br>
+   <br>
+   </p>
+   
+<p>&nbsp;This website gives an overview and reference to the most common coordinate
+systems currently used in space science. While coordinate systems used in
+near-Earth space physics have been described in previous work we extend that
+description to systems used for physical observations of the Sun and the
+planets and to systems based on space craft location. For all systems we
+define the corresponding transformation in terms of Eulerian rotation matrices.
+We also give first order Keplerian elements for planetary orbits and determine
+their precision for the period 1950-2050 and describe methods to improve
+that precision. We also determine the Keplerian orbital elements for most
+major interplanetary missions and discuss their precision. We also give reference
+to a large set of web-sources relevant to the subject. </p>
+   
+<p><br>
+   </p>
+   
+<p> <b>NEWS:</b><br>
+  2002/02/07: Paper now published as<br>
+  &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; M.Fraenz
+ and D.Harper, Heliospheric Coordinate Systems, <b>Plan.Space Sci</b>., 50,
+ 217-233 (Feb 2002)<br>
+  &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; see
+ <a href="https://www.journals.elsevier.com/planetary-and-space-science/">Planetary
+ &amp; Space Science Web Page.</a>
+  <br>
+  2002/02/12: Correction of paper and software available on this website.<br>
+ <span style="font-weight: bold; font-family: helvetica,arial,sans-serif; color: rgb(255, 0, 0);"> 2017/03/17: New correction of paper available on this website.<br>
+  </span><br>
+  <b>Corrected version </b>of the <b>article</b> published in <b>Plan.Space
+ Sci.</b>: <br>
+   &nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/systems3art/systems3art.html">HTML-Version</a>
+  &nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/systems3art.pdf">PDF-Version</a>
+    </p>
+
+If would like to submit comments or corrections,<br>
+please email Markus Fraenz: fraenz@linmpi.mpg.de<br>
+   
+<p>Subfolders containing&nbsp; <b>plots</b> showing the precision of Keplerian 
+ approximation to orbits: </p>
+   
+<p>&nbsp;&nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/orbitplots.zip">Orbitplots&nbsp;</a>
+  &nbsp; for planetary orbits. <br>
+  &nbsp;&nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/trajplots.zip">Trajplots</a>
+  &nbsp;&nbsp;&nbsp;&nbsp; for space craft trajectories rel. to NSSDC web 
+data.  <br>
+  &nbsp;&nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/trajplots2.zip">Trajplots2</a>
+  &nbsp;&nbsp; for space craft trajectories rel. to NSSDC ftp data (.eq files). 
+ <br>
+  &nbsp;&nbsp; <a href="https://www2.mps.mpg.de/homes/fraenz/systems/trajplots3.zip">Trajplots3</a>
+  &nbsp;&nbsp; for space craft trajectories rel. to NSSDC/JPL state vectors. 
+ </p>
+   
+<p>Subfolder containing <a href="https://www2.mps.mpg.de/homes/fraenz/systems/idlephem.zip">IDL software</a>
+  &nbsp;  implementing the transformations.  </p>
+   
+<p>Subfolder containing <a href="https://www2.mps.mpg.de/homes/fraenz/systems/data.zip">All Data&nbsp;</a>
+   from the paper in ascii tables.  </p>
+   
+<p><b>Links</b> to other sites on Coordinate Systems:</p>
+   
+<p><a href="http://www.ibrarian.net/navon/.../Astrometric_and_Geodetic_Properties_of_Earth_and_.pdf">AGU Reference
+ Shelf: Charles F. Yoder's article on astrometry<br>
+  American National Space Science Data Center(NSSDC)</a>
+   <br>
+  <a href="http://www.usno.navy.mil/">American Nautical Almanac Office</a>
+   <br>
+  <a href="http://superdarn.jhuapl.edu/">APL Superdarn on AACGM</a>
+  <br>
+  <a href="http://www.stargazing.net/kepler/">K.Burnett's site 
+on planetary orbits</a>
+  <br>
+  <a href="http://cdpp.cesr.fr/">Centre de Donnees de la Physique des Plasmas:
+ J.-C. Kosik's MAGLIB&nbsp;</a>
+  <br>
+  <a href="http://www.spenvis.oma.be/">ESA SPENVIS System</a>
+  <br>
+  <a href="http://astro.ukho.gov.uk/">HM Nautical Almanac Office</a>
+   <br>
+  <a href="http://www.ngdc.noaa.gov/IAGA/vmod/">IAGA IGRF</a>
+  <br>
+  <a href="https://www.imcce.fr/">Institut de Mecanique Celeste</a>
+   <br>
+  <a href="http://maia.usno.navy.mil/">International Earth Rotation Service 
+ (IERS)</a>
+   <br>
+  <a href="http://ssd.jpl.nasa.gov/">JPL Horizons System and 
+DE200</a>
+   <br>
+  <a href="http://naif.jpl.nasa.gov/">JPL SPICE</a>
+   <br>
+  <a href="https://sscweb.gsfc.nasa.gov/">NSSDC Modelweb on CGM</a>
+  <br>
+  <a href="http://www.oulu.fi/physics/space-physics">Oulu University: spaceweb on CGM</a>
+  <br>
+  <a href="http://www.mssl.ucl.ac.uk/grid/iau/extra/local_copy/SP_coords/ct_home.htm"> RAL:
+ M.Hapgood's page on geophysical coordinates</a>
+   <br>
+  <a href="https://www.cosmos.esa.int/web/ulysses/orbital-elements">Ulysses orbital elements at
+ ESA</a>
+  <br>
+  <a href="http://voyager.jpl.nasa.gov/science/hyperbolic.html">Voyager orbital elements at JPL</a>
+   <br>
+   
+</p><p> </p>
+   
+<hr> <br>
+     
+<hr>   
+<address> Markus Fraenz (fraenz@linmpi.mpg.de) 2002-03-12</address>
+      
+
+
+</body></html>
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