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arXiv · 1006.0182

The Lagrange Equilibrium Points L_4 and L_5 in a Black Hole Binary System

Jeremy D. Schnittman
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Abstract

We calculate the location and stability of the L_4 and L_5 Lagrange equilibrium points in the circular restricted three-body problem as the binary system evolves via gravitational radiation losses. Relative to the purely Newtonian case, we find that the L_4 equilibrium point moves towards the secondary mass and becomes slightly less stable, while the L_5 point moves away from the secondary and gains in stability. We discuss a number of astrophysical applications of these results, in particular as a mechanism for producing electromagnetic counterparts to gravitational-wave signals.

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Jeremy D. Schnittman. 2010-06-01. The Lagrange Equilibrium Points L_4 and L_5 in a Black Hole Binary System. https://doi.org/10.1088/0004-637x/724/1/39

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