Collinear Lagrange Point

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The three collinear equilibrium points of the restricted three-body problem, lying on the line joining the two primary masses. At these points the Hessian of the effective potential is indefinite (saddle-type): repulsive along the line joining the primaries and attractive perpendicular to it. The Jacobi constant at a collinear point makes the Hill's region develop a 'neck', enabling orbits to transit between the two primaries. Conley's paper provides the first systematic topological analysis of orbits near these points.

References

  • Conley - 1968 - Low energy transit orbits in restricted 3-body problem
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Contributors: ouyangjiahong, Ou Yang Jiahong