Canonical theory of perturbations using eccentric anomaly as independent variable

Details Canonical theory of perturbations using eccentric anomaly as independent variable Canonical theory of perturbations using eccentric anomaly as independent variable

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..54..305b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 54, no. 4, p. 305-316.

Statistics

Computation

Asteroids, Canonical Forms, Eccentric Orbits, Elliptical Orbits, Independent Variables, Perturbation Theory, Computational Astrophysics, Equations Of Motion, Orbit Calculation

Scientific paper

A procedure is developed for building a canonical transformation of variables so that the eccentric anomaly becomes an independent variable. As a result, the transformation step is completely separated from the integration step. It is shown that, in the case of eccentric elliptical orbits, this approach results in changed equations of motions so that they can be easily integrated analytically to any order of approximation. The method can be applied to the problem of eccentric satellites if the appropriate expansions of the perturbing function are found.

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