
Accession Number : AD0284119
Title : Concerning Collision and Capture Trajectories in a ThreePoint Problem,
Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHTPATTERSON AFB OHIO
Personal Author(s) : TURSKIY,V.S.
Report Date : 24 JUL 1962
Pagination or Media Count : 1
Abstract : The present article is devoted to a consideration of a bounded, plane, circular problem involving three points: earth  moon  material point. Thus the motion of a point is affected only by the Newtonian forces of the earth's and the moon's gravitation. The LeviCivita method is described for studying collision trajectories, the method which we applied to the trajectories required for a point to hit the moon. The results obtained are used to find the approximate initial conditions ensuring a hit on the moon at a predetermined moment of time. The question of the magnitude of the relative selenocentric velocity of a point entering the sphere of action of the moon on the first passage is discussed. The following symbols are used in this article: T  earth, L  moon, P  point, G  center of mass of the system T and L. (Author)
Descriptors : *EARTH, *GRAVITY, *MOON, DIFFERENTIAL EQUATIONS, DYNAMICS, FLIGHT, INTEGRAL EQUATIONS, MOTION, NBODY PROBLEM, ORBITS, PARTIAL DIFFERENTIAL EQUATIONS, PERTURBATION THEORY, SPHERES, TRANSFORMATIONS (MATHEMATICS), VECTOR ANALYSIS, VELOCITY
Distribution Statement : APPROVED FOR PUBLIC RELEASE