The Non-Linear Stability of L4 in the Restricted Three-Body Problem when the Bigger Primary is a Triaxial Rigid Body

Details The Non-Linear Stability of L4 in the Restricted Three-Body Problem when the Bigger Primary is a Triaxial Rigid Body The Non-Linear Stability of L4 in the Restricted Three-Body Problem when the Bigger Primary is a Triaxial Rigid Body

Nov 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77..157h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 3, p. 157-184 (2000).

Astronomy and Astrophysics

Astronomy

6

Restricted 3-Body Problem, Triaxial Rigid Body, Non-Linear Stability, Triangular Point L_4

Scientific paper

The non-linear stability of L 4 in the restricted three-body problem has been studied when the bigger primary is a triaxial rigid body with its equatorial plane coincident with the plane of motion. It is found that L 4 is stable in the range of linear stability except for three mass ratios: μ _{c1} = 0.242938971... - 0.17907...A_1 - 1.1774625...A_2 , μ _{c2} = 0.013516016... - 0.09938...A_1 - 2.15996...A_2 , μ _{c3} = 0.010936677... - 0.0294...A_1 + 772.85704...A_2 , where A1, A2 depend upon the lengths of the semi axes of the triaxial rigid body.

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