Comparison of the Patched-Conic and Linearization Methods in the Solution of Three-Body Problems.
Abstract
The accuracy of the patched-conic and linearization methods in predicting trajectories in a Sun-Planet system are compared. Forty-two series of trajectories were computed for forty-two different assumed initial positions and velocities. Each series consisted of an integrated three-body trajectory, a linearized trajectory and a two-body trajectory. It was shown that for all cases in which the linearization theory applied, this method was more accurate than the patched-conic method in approximating the actual three-body trajectory. It was further shown that in some cases the linearization method could be applied where the patched-conic method could not. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0748345
Entities
People
- Thomas M. Conley
Organizations
- Air Force Institute of Technology