Non-restricted double-averaged three body problem in Hill's case

Details Non-restricted double-averaged three body problem in Hill's case Non-restricted double-averaged three body problem in Hill's case

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..13..471l&link_type=abstract

Celestial Mechanics, vol. 13, June 1976, p. 471-489.

Physics

24

Circular Orbits, Hill Method, Orbit Perturbation, Orbital Mechanics, Three Body Problem, Celestial Mechanics, Collisions, Hamiltonian Functions, Measure And Integration, Numerical Integration, Perturbation Theory

Scientific paper

A limiting case of the problem of three bodies (m/0/, m/1/, m/2/) is considered. The distance between the bodies m/0/ and m/1/ is assumed to be much less than that between their barycenter and the body m/2/, so that one may use Hill's approximation for the potential of interaction between the bodies m/1/ and m/2/. In the absence of resonant relations the potential, double-averaged by the mean longitudes of m/1/ and m/2/, describes the secular evolution of the orbits in the first approximation of the perturbation theory.

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