A Third-Order Analytical Solution for Relative Motion with a Circular Reference Orbit
A Third-Order Analytical Solution for Relative Motion with a Circular Reference Orbit
- New search for: Richardson, D. L.
- New search for: Mitchell, J. W.
- New search for: Richardson, D. L.
- New search for: Mitchell, J. W.
From a Lagrangian approach for the development of the relative motion equations viewed as a nonlinear Hill’s problem, it is shown that the influence of a spherical primary mass takes the form of a third-body-like disturbing function expressed relative to the origin of Hill’s rotating frame. The resulting Lagrangian and corresponding equations of motion are compact and provide an easily obtainable representation of the nonlinear contributions to the motion to an arbitrary order using recursion relations. The relative motion equations are expanded through third-order in the local Hill’s coordinates and a correspondingly accurate successive approximations solution is developed to describe nonlinear periodic motions in Hill’s frame.
Document information
A Third-Order Analytical Solution for Relative Motion with a Circular Reference Orbit
J of Astronaut Sci
The Journal of the Astronautical Sciences ; 51 , 1 ; 1-12
2003-03-01
12 pages
Article (Journal)
Electronic Resource
English
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