Analytical continuation of stability of periodic orbits in the restricted three-body problem

Details Analytical continuation of stability of periodic orbits in the restricted three-body problem Analytical continuation of stability of periodic orbits in the restricted three-body problem

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48..115k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 2, 1990, p. 115-126.

Statistics

Computation

1

Accretion Disks, Binary Stars, Circular Orbits, Motion Stability, Three Body Problem, Computational Astrophysics, Orbit Perturbation, Time Dependence, Trajectory Analysis

Scientific paper

A supplement to the theory of analytical continuation of circular orbits in the restricted three-body problem is presented. The first-order stability is given analytically to the first power of the mass parameter mu. The theory of the Kirkwood gaps is discussed from this point of view. The stability limit which should determine the size of accretion disks in binaries is found to be in good agreement with earlier numerical experiments for mu less than 1/2.

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