A third-order intermediate orbit for planetary theory

Details A third-order intermediate orbit for planetary theory A third-order intermediate orbit for planetary theory

Feb 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..26..187r&link_type=abstract

(Conference on Analytical Methods and Ephemerides: Theory and Observations of the Moon and Planets, Namur, Belgium, July 28-31,

Mathematics

11

Circular Orbits, Orbit Perturbation, Orbital Mechanics, Perturbation Theory, Planetary Orbits, Coplanarity, Eccentricity, Elliptic Functions, Equations Of Motion, Hamiltonian Functions, Motion Stability, Transformations (Mathematics), Planets, Theoretical Studies, Orbits, Techniques, Procedure, Motion, Perturbations, Mathematical Models

Scientific paper

By use of a new canonical transformation procedure, a third-order
intermediary for planetary motion is developed. The intermediary
contains all contributions that arise from the assumption of circular,
coplanar orbits for the disturbing masses. The results are expressible
in terms of elliptic integrals of the first, second, and third kinds.

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