Accession Number : AD0838799

Title :   INVESTIGATION OF MOTION IN CISLUNAR SPACE USING THE VERY RESTRICTED FOUR-BODY MODEL.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Feilner, Paul W.

Report Date : JUN 1968

Pagination or Media Count : 107

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)

Descriptors :   (*CIRCUMLUNAR TRAJECTORIES, PERIODIC VARIATIONS), NUMERICAL METHODS AND PROCEDURES, TRANSFORMATIONS(MATHEMATICS), ITERATIONS, EQUATIONS OF MOTION, COMPUTER PROGRAMS, ERRORS, MATHEMATICAL MODELS, THESES.

Subject Categories : Celestial Mechanics
      Numerical Mathematics
      Spacecraft Trajectories and Reentry

Distribution Statement : APPROVED FOR PUBLIC RELEASE