Optimal transfer from collinear libration points with limited rotation speed

Physics

Scientific paper

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Earth-Moon Trajectories, Librational Motion, Optimal Control, Spacecraft Motion, Trajectory Optimization, Earth-Moon System, Equations Of Motion, Hamiltonian Functions, Spacecraft Control

Scientific paper

The present treatment of the problem of reaching the collinear and equilateral libration points of the earth-moon system gives attention to the transfer in minimum time of a mass particle initially at rest at the libration point, using a small, constant-magnitude thrust and bounded angular speed to achieve a prescribed final velocity. On this trajectory, the rotation velocity of the direction of the propulsion has the extremal value or corresponds to Lawden's tangent law.

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