Concerning Collision and Capture Trajectories in a Three-Point Problem,
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 Levi-Civita 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 24, 1962
- Accession Number
- AD0284119
Entities
People
- V.s. Turskiy
Organizations
- National Air and Space Intelligence Center