Periodic Orbits With Constant Control Acceleration In The Restricted Three Body Problem
2008 PROCEEDINGS OF SICE ANNUAL CONFERENCE, VOLS 1-7(2008)
摘要
In the restricted three body problem, each of the Lagrange points is in equilibrium between gravitational forces of the two primary bodies and centrifugal force in the rotating frame. A non-equilibrium point, which is not at Lagrange points, can be turned into an artificial equilibrium point (AEP) by canceling any residual acceleration at the non-equilibrium points with continuous control acceleration. This study describes an investigation of periodic orbits around the AEPs in the restricted three body problem. The non-linearized equations of motion in this problem are linearized around the AEPs, and periodic orbits are generated by simple constant control acceleration in three-dimensional space.
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关键词
artificial equilibrium point,the restricted three body problem
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