On the Perturbed Motion of a Lunar Satellite

by Hans B. Schechter


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback39 pages $20.00 $16.00 20% Web Discount

A discussion of Pontecoulant's solution of the three-body problem of the lunar theory. This solution is applied to the motion of a lunar satellite perturbed by the earth to obtain an estimate of the changes caused in the radial coordinate. It is found that the maximum decrease in nominal perilunar radius depends on the ratio of the angular velocities of the perturbing body and the satellite, and on an eccentricity parameter. For a satellite with an orbital period approximately one-fifteenth that of the moon and with an eccentricity parameter of 0.2, this decrease amounts to about 3 percent of the perilunar radius.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.