INVESTIGATION OF MOTION IN CISLUNAR SPACE USING THE VERY RESTRICTED FOUR-BODY MODEL.
Abstract
An iterative technique is developed for finding periodic cislunar trajectories using the very restricted four-body model of the solar system. Four methods of numerical integration are used in an attempt to reduce the errors caused by the points of singularity in the equations of motion. The methods used are fourth order Runge-Kutta in single precision arithmetic, eighth order Runge-Kutta in double precision arithmetic, power series expansion in double precision arithmetic, and Thiele complex transformation with fourth order Runge-Kutta in double precision arithmetic. Although singularities remain, the Thiele transformation method produces the least amount of error. Four periodic cislunar trajectories are presented, including one which passes near both the earth and moon. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1968
- Accession Number
- AD0838799
Entities
People
- Paul W. Feilner
Organizations
- Air Force Institute of Technology