Effect of oblateness on triangular solutions at critical mass

Details Effect of oblateness on triangular solutions at critical mass Effect of oblateness on triangular solutions at critical mass

Feb 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979ap%26ss..60..247s&link_type=abstract

Astrophysics and Space Science, vol. 60, no. 2, Feb. 1979, p. 247-250.

Astronomy and Astrophysics

Astrophysics

3

Mass Ratios, Oblate Spheroids, Three Body Problem, Critical Mass, Dynamic Stability, Equations Of Motion, Orbital Mechanics

Scientific paper

At critical mass the triangular equilibria in the planar restricted three-body problem, when the more massive primary is an oblate spheroid with its equatorial plane coincident with the plane of motion, are in general unstable due to the presence of secular terms in the solutions of linearized equations of motion in the vicinity of these points. Existence of retrograde elliptic periodic orbits is established through suitable velocity components. The eccentricity of these orbits increases with the oblateness.

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