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

@article{Schnittman2010TheLE, title={The Lagrange Equilibrium Points L\_4 and L\_5 in a Black Hole Binary System}, author={Jeremy D. Schnittman}, journal={arXiv: High Energy Astrophysical Phenomena}, year={2010} }

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… Expand

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