Hill's problem - Families of three-dimensional periodic orbits. I

Details Hill's problem - Families of three-dimensional periodic orbits. I Hill's problem - Families of three-dimensional periodic orbits. I

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..68..253m&link_type=abstract

Astrophysics and Space Science, vol. 68, no. 1, Mar. 1980, p. 253-268.

Computer Science

Performance

1

Hill Method, Orbital Mechanics, Periodic Variations, Perturbation Theory, Three Body Problem, Mathematical Models, Performance Prediction

Scientific paper

This paper presents a contribution to the numerical exploration of the three-dimensional Hill's problem. Starting from the vertical critical periodic orbits (a1v, a2v, a3v, g1v, g prime 2v) of the planar Hill's problem, five families of three-dimensional periodic orbits are computed. It is found that their behavior is qualitatively similar to that of the corresponding families of the restricted problem.

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