Doubly averaged elliptical restricted three-body problem

Details Doubly averaged elliptical restricted three-body problem Doubly averaged elliptical restricted three-body problem

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979azh....56..419a&link_type=abstract

Astronomicheskii Zhurnal, vol. 56, Mar.-Apr. 1979, p. 419-426. In Russian.

Astronomy and Astrophysics

Astronomy

4

Celestial Mechanics, Elliptical Orbits, Perturbation Theory, Three Body Problem, Trajectory Analysis, Differential Equations, Equations Of Motion, Integral Equations, Qualitative Analysis

Scientific paper

The plane doubly averaged elliptical restricted three-body problem is examined. A perturbing-function expansion is obtained, along with first integrals that make it possible to write the general solution in quadratures. A qualitative analysis is performed in the case where the first two terms in the perturbing function are taken into consideration. It is shown that there are trajectories for which the semimajor axis remains constant while the eccentricity tends to unity.

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