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<body><h1>References for Coordinate Transformations</h1>
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<p>This page lists some references that give useful information on methods for
transforming vectors and tensors between different space physics coordinate
systems. </p>
<h2>General papers</h2>
<ul><li><a name="ctr71"></a>C.T. Russell, (1971) "Geophysical Coordinate
Transformations",
<i>Cosmic. Electrodyn.</i> <b>2</b>, 184-196</li>
<li><a name="mah92"></a>M.A. Hapgood, (1992) "Space Physics Coordinate
Transformations: A User Guide", <i>Planet. Space Sci.</i> <b>40</b>,
711-717 (but see correction note in 
<a href="http:#mah97">Hapgood (1997)</a>).</li> 
<li><a name="mah95"></a>M.A. Hapgood, (1995) "Space physics coordinate
transformations: the role of precession", <i>Annales Geophysicae</i>, <b>13</b>,
713-716.</li>
<li><a name="mah97"></a>M.A. Hapgood, (1997) "Corrigendum to
Space Physics Coordinate Transformations: A User Guide", 
<i>Planet. Space Sci.</i> <b>45</b>, 1047. </li>
</ul>
<h2>Reference works</h2>
<ul><li><a name="alcom"></a>The <i>Almanac for Computers</i> published each
year by the <a href="http://aa.usno.navy.mil/AA">US Naval Observatory</a>
contains many useful formulae for calculating many of the rotation angles used
in space physics coordinate transformations.</li>
<li><a name="aa"></a>The <i>Astronomical Almanac</i> jointly published each
year by the US Naval Observatory and the UK
<a href="http://www.nao.rl.ac.uk/">Nautical Almanac Office</a> contains
much useful information on formulae used in coordinate transformations.</li>
<li><a name="esup"></a>The <i>Explanatory Supplement to the Astronomical
Almanac</i> published in 1992 contains more detailed information. The old 1961
edition, which was published as the <i>Explanatory Supplement to the
Astronomical Emphemeris</i>, is still widely available and remains a useful
reference. </li>
<li><a name="prac"></a><i>Practical Astronomy with your Calculator</i> by
Peter Duffett-Smith, first published in 1979 by Cambridge University Press,
gives an excellent short introduction to some of the astronomical calculations
underlying space physics coordinate transformations. A version of this book for
personal computers is also available.</li>
</ul>
<h2>Geomagnetic models</h2>
<ul><li><a name="igrf"></a>International Association of Geomagnetism and
Aeronomy (IAGA) Division V - Working Group 8, (1996) "International
Geomagnetic Reference Field, 1995 revision", <i>Geophys, J. Int.</i> <b>125</b>,
318-321.</li>
<li><a name="tb82"></a>Thompson, R. and Barraclough, D.R., (1982) "Geomagnetic
secular variation based on spherical harmonic and cross validation analyses of
historical and archaeomagnetic data", <i>J. Geomag. Geoelectr.</i> <b>34</b>,
245-263.</li></ul>
<h2>Boundary normal systems</h2>
<ul><li><a name="re78"></a>Russell, C.T. and Elphic R.C., (1978) "Initial
ISEE magnetometer results: magnetopause observations", <i>Space Sci. Rev.</i>
<b>22</b>, 681-715.</li>
<li><a name="son76"></a>Sonnerup, B.U.Ö., (1976) "Magnetopause and
boundary layer", in <i>Physics of Solar-Planetary Environments</i> (ed.
D.J. Williams, pub. American Geophysical Union), 541-557.</li>
<li><a name="son67"></a>Sonnerup, B.U.Ö. and Cahill, L.J. Jr., (1967) "Magnetopause
structure and attitude from <i>Explorer 12</i> observations", <i>J.
Geophys. Res.</i> <b>72</b>, 171-183. (See pages 173-175 for a discussion of
boundary normal determination by minimum variance.) </li></ul>
<h2>Other reports</h2>
<ul><li>Bhavnani, K.H. and Vancour, R.P. (1991) <i>Coordinate Systems for
Space and Geophysical Applications</i>, Report PL-TR-91-2296, Phillips
Laboratory, Hanscom AFB, Massachusetts 01731-5000, USA. This report gives a
comprehensive review of a large number of coordinate systems. It also has an
extensive glossary of terms.</li></ul>
<p>This page was last updated on 4 February 2002 by
<a href="http://jsoc1.bnsc.rl.ac.uk/mah.html">Mike Hapgood</a> (Email:
<a href="mailto:M.Hapgood@rl.ac.uk">M.Hapgood@rl.ac.uk</a>).</p>
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