Exact Analytical Solutions for Orbits of Bodies With Atmospheric Drag,
Abstract
Exact analytical solutions, by an inverse type of method, are derived for the motion of a particle under a central Newtonian gravitational force and an atmospheric drag force proportional to the square of the speed. In these solutions a form of the orbit is assumed, and the corresponding required atmospheric density, as a function of height, is determined. Some simple specific examples are furnished to illustrate such exact solutions for the entire motion of a satellite including both its orbital decay phase and its planetary entry phase. In one of these examples the required atmospheric density distribution closely approximates, at least in the orbital decay phase, isothermal models frequently assumed for actual planetary atmospheres. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0751491
Entities
People
- Giuseppe Volpe
- Morris Morduchow
Organizations
- New York University Tandon School of Engineering