Accession Number:

AD0627653

Title:

REGULARIZATION AND POWER SERIES SOLUTION FOR THE THIRD ORDER REPRESENTATION OF THE RESTRICTED 3 BODY PROBLEM.

Descriptive Note:

Final rept.,

Corporate Author:

FRANK J SEILER RESEARCH LAB AIR FORCE ACADEMY COLO

Personal Author(s):

Report Date:

1965-12-01

Pagination or Media Count:

23.0

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

Subject Categories:

  • Celestial Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE