Periodic orbits in three-dimensional planetary systems

Details Periodic orbits in three-dimensional planetary systems Periodic orbits in three-dimensional planetary systems

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989japa...10..367i&link_type=abstract

Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 10, Dec. 1989, p. 367-380.

Astronomy and Astrophysics

Astrophysics

1

Orbital Mechanics, Planetary Systems, Three Body Problem, Three Dimensional Models, Asteroids, Gravitational Effects, Orbital Resonances (Celestial Mechanics)

Scientific paper

Three-dimensional planetary systems are studied, using the model of the restricted three-body problem for mu = .001. Families of three-dimensional periodic orbits of relatively low multiplicity are numerically computed at the resonances 3/1, 5/3, 3/5 and 1/3 and their stability is determined. The three-dimensional orbits are found by continuation to the third dimension of the vertical critical orbits of the corresponding planar problem.

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