Accession Number : AD0617327

Title :   THE OPTIMIZATION OF INTERPLANETARY ORBIT TRANSFERS BY DYNAMIC PROGRAMMING,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Smith,F. T.

Report Date : JUL 1965

Pagination or Media Count : 177

Abstract : This memorandum contains an investigation of the convergence of a computational method for optimizing interplanetary orbit transfers influenced by gravitational perturbations. The investigation is divided into three parts. First the necessary computational equations are derived. Next, the convergence of the computational process is investigated analytically. Finally, the results of a numerical investigation are presented. The numerical investigation involves the application of the computational method to the optimization of a low-thrust orbit transfer from Earth to Mars. The transfer is influenced by gravitational perturbations from Earth, Mars, and Jupiter. The objective of the orbit transfer is to place a space vehicle in a circular satellite orbit of Mars. It is concluded from the investigation that the process converges as indicated by the analysis when the numerical integration involved is sufficiently accurate. Further, any type of perturbing force can be accounted for when a computational formula is available. Finally, it is concluded that the method is flexible enough to be adapted to a number of practical situations. (Author)

Descriptors :   (*OPTIMIZATION, ORBITS), (*TRANSFER TRAJECTORIES, OPTIMIZATION), (*INTERPLANETARY TRAJECTORIES, OPTIMIZATION), DYNAMIC PROGRAMMING, ITERATIONS, CELESTIAL MECHANICS, THRUST, CIRCULAR ORBITS

Distribution Statement : APPROVED FOR PUBLIC RELEASE