Stability of the libration points of an inhomogeneous triaxial ellipsoid

Details Stability of the libration points of an inhomogeneous triaxial ellipsoid Stability of the libration points of an inhomogeneous triaxial ellipsoid

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987primm..51....3k&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 51, Jan.-Feb. 1987, p. 3-8. In Russian.

Astronomy and Astrophysics

Astrophysics

Astrophysics, Ellipsoids, Gravitational Effects, Lagrangian Equilibrium Points, Existence Theorems, Inhomogeneity, Rotating Bodies, Theorem Proving

Scientific paper

The problem considered here concerns a uniformly rotating inhomogeneous gravitating ellipsoid with a constant density on each similar ellipsoidal surface. A material point can move freely in a space filled with a gravitating mass. Conditions for the existence of relative equilibriums are formulated, and their stability is analyzed. The results obtained are interpreted from the standpoint of stellar systems.

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