Date of Award
12-1990
Document Type
Thesis
Degree Name
Master of Science
Department
Department of Aeronautics and Astronautics
First Advisor
Rodney Bain, PhD
Abstract
An expression for the semi-major axis as a function of time may be determined by performing a series reversion and inversion of Lambert's Time Function. Since the resulting series contains a singularity, it is desirable to perform only a reversion on the original series to obtain an expression for the inverse of the semi-major axis. Using a Lagrange expansion to obtain the coefficients for this series is very computer intensive. Therefore, alternative methods are presented. Also, each series was expanded into a continued fraction which provided greater accuracy than the series using the same number of coefficients. The accuracy was found to be dependent upon the number of series coefficients used, the transfer time, and the transfer angle.
AFIT Designator
AFIT-GA-ENY-90D-14
DTIC Accession Number
ADA230545
Recommended Citation
Ward, Michael P., "A Numerical Investigation of the Series Reversion/Inversion and Series Reversion of Lambert's Time Function" (1990). Theses and Dissertations. 7907.
https://scholar.afit.edu/etd/7907
Comments
The author's Vita page is omitted.