Cover: Three-Dimensional Nonlinear Stability Analysis of the Sun-Perturbed Earth-Moon Equilateral Points.

Three-Dimensional Nonlinear Stability Analysis of the Sun-Perturbed Earth-Moon Equilateral Points.

Published 1967

by Hans B. Schechter

Purchase Print Copy

 Format Price
Add to Cart Paperback22 pages $20.00

A nonlinear study of the long period features of the motion of a particle in the earth-moon system, near the equilateral libration point. Such effects stem from excitations close to the particle's natural frequencies, introduced by the presence of resonance terms in the internal and external force fields. Nonlinearities up to the fourth order in displacements from the equilateral, and solar terms of comparable magnitude, were retained. The importance of nonlinear coupling of out-of-plane motion with in-plane motion was investigated, and the existence of some equilibrium solutions was established, and insight regarding the geometry of motion along the corresponding periodic elliptic particle orbits was obtained, providing qualitative and quantitative information concerning their stability. 22 pp. Ref.

This report is part of the RAND paper series. The paper was a product of RAND from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND 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.