Perturbations of the critical mass in the restricted three-body problem

Details Perturbations of the critical mass in the restricted three-body problem Perturbations of the critical mass in the restricted three-body problem

Jul 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..42l..17r&link_type=abstract

Astrophysics and Space Science, vol. 42, July 1976, p. L17, L18.

Astronomy and Astrophysics

Astrophysics

Coriolis Effect, Critical Mass, Oblate Spheroids, Perturbation Theory, Three Body Problem, Centrifugal Force, Equations Of Motion, Systems Stability

Scientific paper

Szebehely (1967), in considering a condition for linear stability of the two equidistant points of equilibrium in the restricted three-body problem, obtained the result that the critical value of the mass parameter increases if there is a small positive change in the Coriolis force from unity. However, the present authors point out that if the more massive primary is an oblate spheroid, the range of the mass parameter leading to stable triangular solutions decreases. Oblateness, when secular effects are taken into account, results in an increase in the Coriolis force, so Szebehely's conclusion is in contradiction with this.

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