High Precision Calculation of Asteroid Orbits Using the Parker-Sochacki Algorithm

Details High Precision Calculation of Asteroid Orbits Using the Parker-Sochacki Algorithm High Precision Calculation of Asteroid Orbits Using the Parker-Sochacki Algorithm

Apr 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aps..apr..n903r&link_type=abstract

American Physical Society, APS/AAPT Joint April Meeting, April 18-21, 1998 Columbus, Ohio, abstract #N9.03

Physics

Scientific paper

A powerful new method of solving simultaneous differential equations is applied to the classical many-body problem. The method generates the Taylor Series for the coordinates and velocities to arbitrarily high order without recourse to iteration, correction, or any mathematical functions except addition, subtraction, and multiplication. It is quite possible, that it is in fact a rediscovery of Dirichlet's lost method of solving differential equations. Results for non-elipitical orbits of real asteroids will be presented. The gravitational sources in the calculation include the sun and the nine planets.

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