The optimization of multi-stage orbit transfer processes by dynamic programming.

F. T. Smith

Expert InsightsPublished 1961

An outline of the derivation of a set of variation of parameter equations by the use of Lagrange's brackets, which describe the perturbed motion of a space vehicle. These equations are integrated to obtain a set of state transformation equations which are used in conjunction with the method of dynamic programming to optimize a multi-stage orbit transfer process. Three special cases of the multi-stage process are discussed: a single-stage process, a two-stage process, and a special form of performance criterion.

Document Details

Citation

Chicago Manual of Style

Smith, F. T., The optimization of multi-stage orbit transfer processes by dynamic programming. Santa Monica, CA: RAND Corporation, 1961. https://www.rand.org/pubs/papers/P2177-1.html.
BibTeX RIS

This publication is part of the RAND paper series. The paper series 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.