Accession Number:

AD0751491

Title:

Exact Analytical Solutions for Orbits of Bodies With Atmospheric Drag,

Descriptive Note:

Corporate Author:

POLYTECHNIC INST OF BROOKLYN FARMINGDALE N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s):

Report Date:

1972-06-01

Pagination or Media Count:

19.0

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

Subject Categories:

  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE