Accession Number:

AD0620834

Title:

AN APPROXIMATE SOLUTION TO THE RELATIVE MOTION OF TWO CLOSE SATELLITES IN THE PRESENCE OF DRAG AND OBLATENESS,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

Report Date:

1965-08-01

Pagination or Media Count:

60.0

Abstract:

This memorandum is concerned with the relative motion of two satellites under the influence of air drag and the J term in the earths potential. An exponential atmosphere is assumed, and a linear fit is shown to be satisfactory for changes in altitude of up to about 40 percent of the scale height. The motion is referred to a coordinate system attached to an infinitely heavy satellite moving along a circular orbit at an altitude of 100 n mi. The first-order effects of drag and oblateness are obtained, using a two-time variable-expansion procedure proposed by Kevorkian The two variable expansion procedures for the approximate solution of certain non-linear differential equations, Douglas Aircraft Co., Douglas report SM-42620 Dec. 3, 1962. The two satellites are assumed to start out from the same point on the circular orbit, but with a tangential velocity difference of not more than about 10 ftsec. Simple algebraic expressions are obtained which provide a quick and fairly accurate way to determine the separation distance at the end of n orbits. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE