Length of arc as independent argument for highly eccentric orbits

Details Length of arc as independent argument for highly eccentric orbits Length of arc as independent argument for highly eccentric orbits

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..323b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 4, 1992, p. 323-328.

Statistics

Computation

3

Eccentric Orbits, Orbital Mechanics, Computational Astrophysics, Motion Stability, Numerical Integration, Perturbation Theory

Scientific paper

Orbital arc length of a moving particle is proposed for use in the step regulation required for the numerical integration of highly eccentric orbits. The equations can be deduced without solving Kepler's problem, and references are given to several examples using the proposed transformation. The method is shown to facilitate the numerical integration of highly elliptic orbits with unperturbed motions.

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