Encounter in the Keplerian field - Analytical treatment

Details Encounter in the Keplerian field - Analytical treatment Encounter in the Keplerian field - Analytical treatment

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..49..133b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 49, no. 2, 1990, p. 133-144.

Statistics

Computation

1

Celestial Mechanics, Computational Astrophysics, Gravitational Fields, Hill Method, Kepler Laws, Algorithms, Planetary Rings, Satellite Orbits

Scientific paper

In extending the results of Henon and Petit (1986), an algorithm is suggested for constructing the series representing the general encounter-type solution of the spatial eccentric Hill's problem. The series are arranged in powers of the eccentricity E of Hill's problem and two integration constants, e and k, characterizing eccentricity and inclination of the relative motion. A particular nonperiodic solution of Henon and Petit corresponding to E = e = k = 0 is taken as an intermediary. The perturbations to this solution are constructed similar to the lunar theory of Hill and Brown.

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