Libration Points in Schwarzschild's Circular Restricted Three-Body Problem

Details Libration Points in Schwarzschild's Circular Restricted Three-Body Problem Libration Points in Schwarzschild's Circular Restricted Three-Body Problem

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006ap%26ss.304..101r&link_type=abstract

Astrophysics and Space Science, Volume 304, Issue 1-4, pp. 101-103

Astronomy and Astrophysics

Astrophysics

Restricted Three-Body Problem, Schwarzschild'S Field

Scientific paper

The restricted three-body problem in Schwarzschild's gravitational field is analyzed. The existen- ce of the equilibrium points in the orbital plane is discussed and the corresponding positions are established. There are three collinear libration points, and, if they exist, two triangular libration points (situated in the orbital plane of the primaries). If triangular points exist, they may not form equilateral triangles; the triangles are isosceles for equal masses of the primaries, and scalene else.

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