On several properties in the numerical integration of celestial orbits

Details On several properties in the numerical integration of celestial orbits On several properties in the numerical integration of celestial orbits

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987acasn..28..215l&link_type=abstract

(Acta Astronomica Sinica, vol. 28, no. 1-3, 1987, p. 215-225) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 12, Marc

Astronomy and Astrophysics

Astrophysics

2

Celestial Mechanics, Numerical Integration, Orbit Calculation, Error Analysis, Nonconservative Forces, Orbital Elements, Three Body Problem

Scientific paper

Stabilization techniques to limit along-track error in the numerical computation of orbits are developed analytically and demonstrated. The approach used involves selecting and implementing an appropriate constraining condition on the basis of the properties of celestial motion. Methods for stationary conservative, nonstationary conservative, and dissipative systems are described, and the implications of stabilization for cases with errors in the initial data are considered. Results for the perturbed motion of artificial earth satellites and for three fundamental problems (the circular and elliptical restricted three-body problems and the circular restricted three-body problem with dissipative force) are presented in extensive tables.

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