
Accession Number : AD0838799
Title : INVESTIGATION OF MOTION IN CISLUNAR SPACE USING THE VERY RESTRICTED FOURBODY MODEL.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON 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 fourbody 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 RungeKutta in single precision arithmetic, eighth order RungeKutta in double precision arithmetic, power series expansion in double precision arithmetic, and Thiele complex transformation with fourth order RungeKutta 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