Semi-analytical methods for computing the orbits of asteroids and comets

Details Semi-analytical methods for computing the orbits of asteroids and comets Semi-analytical methods for computing the orbits of asteroids and comets

Nov 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002esasp.500..345s&link_type=abstract

In: Proceedings of Asteroids, Comets, Meteors - ACM 2002. International Conference, 29 July - 2 August 2002, Berlin, Germany. Ed

Computer Science

Orbit Determination: Comets, Minor Planets

Scientific paper

New methods for solving the equations of motion of small celestial bodies are proposed. In the initial reference methods the perturbed trajectory is represented by a sequence of short arcs of the superosculating orbits with second- or third-order tangency. The accuracy order of the reference methods is coincident with the tangency order of the used superosculating orbit. The application of the Richardson extrapolation to the reference methods allow us to obtain methods of higher orders. The new methods have been compared with the numerical integration of the equations of motion by the Runge-Kutta-Fehlberg methods of 4th and 7th orders. The comparisons have been performed by the examples of computing the perturbed orbits of some asteroids and comets.

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