REGULARIZATION AND POWER SERIES SOLUTION FOR THE THIRD ORDER REPRESENTATION OF THE RESTRICTED 3 BODY PROBLEM.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1965
- Accession Number
- AD0627653
Entities
People
- Allan F. Schanzle