A Numerical Investigation of the Series Reversion/Inversion and Series Reversion of Lambert's Time Function
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1990
- Accession Number
- ADA230545
Entities
People
- Michael P Ward
Organizations
- Air Force Institute of Technology