Accession Number : AD0696595

Title :   NUMERICAL SUTDIES OF SOLAR INFLUENCE PARTICLE MOTION NEAR THE TRIANGULAR EARTH-MOON LIBRATION POINTS,

Corporate Author : TEXAS UNIV AUSTIN

Personal Author(s) : Schutz,B. E. ; Tapley,B. D.

Report Date : 1969

Pagination or Media Count : 26

Abstract : The equations of motion of the restricted problem of four bodies were numerically integrated using the Jet Propulsion Laboratory Ephemeris Tape E9511 to provide the positions of the three primaries, viz., earth, moon, and sun. Using initial conditions for the particle which satisfied the elliptic restricted problem of three bodies (earth, moon, and particle), the numerical results of the restricted problem of four bodies indicate that a particle placed at L sub 5 on Julian Ephemeris Date 2,439,796,735 will follow a libration-point-centered motion for 2500 days. The envelope of the particle's motion about L sub 5 expands and contracts with a period of approximately 750 days. Additional numerical computations indicate that the motion will persist for a period in excess of 5000 days. For the same initial date, a near lunar encounter occurs at 579 days for a particle placed at L sub 4 with initial conditions satisfying the elliptic restricted problem of three bodies. (Author)

Descriptors :   (*N-BODY PROBLEM, EQUATIONS OF MOTION), (*ORBITS, STABILITY), EARTH(PLANET), MOON, SUN, PARTICLE TRAJECTORIES, CELESTIAL MECHANICS, PERIODIC VARIATIONS, NUMERICAL ANALYSIS, NUMERICAL INTEGRATION

Subject Categories : Celestial Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE