REGULARIZATION AND POWER SERIES SOLUTION FOR THE THIRD ORDER REPRESENTATION OF THE RESTRICTED 3 BODY PROBLEM.
FRANK J SEILER RESEARCH LAB AIR FORCE ACADEMY COLO
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The equations of motion for the Planer, Circular Restricted Three Body Problem are reduced from the fourth order to a third order system by introducing a new variable. Assuming a Power Series Solution, recurrence formulae are derived for the purposes of numerical integration. Convergence of the series is proved except for three singularities, which are eliminated by regularization. Author
- Celestial Mechanics