>I'm looking for the analytical solution of equation of time. I'm trying to >study the revolution motion of the earth around the sun and I'd like to >find the relationship between the analytic solution of this motion and the >equation of time... > >Bye >Tom (ITALY) > >----- >Free e-mail group hosting at http://www.eGroups.com/
Hello Tom! Some time ago I brought out in this group a report of mine which contains the math of the equation of time (+ many other things). The report is in the net in ftp://ftp.cc.tut.fi/pub/math/ruohonen/Raportit/PRep9/ (Postscript and PDF). On page 17 of the report you can find EOT in exact integral form which involves various parameters related to the ecliptic.This equation is derived using Kepler's laws of planetary motion. In principle the integral can be calculated analytically but one has to be careful with branches of arctangents. I did the calculation using the program MAPLE and the result is somewhat complicated. Since EOT is (nearly) periodic, a truncated Fourier series can be given which approximates EOT quite well. Such series can be found e.g. in The Astronomical Almanac. Hope this is of help Keijo Ruohonen %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%NULLIUS%IN%VERBA% Keijo Ruohonen Tampere University of Technology [EMAIL PROTECTED] Department of Mathematics Voice (+358) (3) 3652420 http://www.cc.tut.fi/ Tampere, FINLAND Fax (+358) (3) 3653549 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
