A development of the general equations of motion for a satellite, including both orbital motion and rotation about the center of mass of the vehicle. It is found that these two elements of motion are coupled, so that for extremely eccentric orbits, the vehicle begins to tumble relative to the instantaneous vertical.
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.