Lissajous orbit

Example of a trajectory from Earth to a Lissajous orbit around the Lagrange point L2

In space flight mechanics , the Lissajous orbit , [ li.sa.ʒu ], named after Jules Antoine Lissajous , is a quasi- periodic trajectory around one of the unstable Lagrange points L ₁ to L ₃ as a solution to the restricted three-body problem .

While Lyapunov orbits lie around a Lagrange point in the orbital plane of the two main bodies, Lissajous orbits also contain components perpendicular to them. The frequency relationships of the components are almost rational , so that the orbit forms a Lissajous figure . Halo orbits also contain components perpendicular to the plane of the orbit , but the frequency ratio is (almost) one.

literature

WS Koon, MW Lo, JE Marsden , and SD Ross: Dynamical Systems, the Three-Body Problem, and Space Mission Design 2006.

Individual evidence

↑ Dynamical Systems, the Three-Body Problem, and Space Mission Design (PDF; 1.5 MB) In: International Conference on Differential Equations . World Scientific. Retrieved August 26, 2012.

[1] Dynamical Systems, the Three-Body Problem, and Space Mission Design (PDF; 1.5 MB) In: International Conference on Differential Equations . World Scientific. Retrieved August 26, 2012.