Investigation of the problem of keeping a satellite in an orbit around the earth at translunar distances from the earth. The study concentrates on distances between 300,000 and 500,000 n mi, since in this range the earth's gravitational attraction is the dominant factor in producing acceleration of a satellite vehicle relative to the earth. The approach to the problem involves formulation of the general nonlinear equations of motion for an object under the gravitational attraction of the earth, sun, and moon. The solution of these equations is in terms of the variation of the resulting motion from a nominal unperturbed circular orbit, and is obtained by numerical integration of the equations of motion. Although cases are found in which the radial variations from a reference orbital radius of 300,000 n mi remain less than 50,000 n mi for as long as five years, it appears to be desirable to have an orbital control capability. 109 pp. Ref.
This report is part of the RAND Corporation Report series. The report was a product of the RAND Corporation from 1948 to 1993 that represented the principal publication documenting and transmitting RAND's major research findings and final research.
Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit www.rand.org/about/principles.
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.