Accession Number:

ADA605040

Title:

The Generalized Sundman Transformation for Propagation of High-Eccentricity Elliptical Orbits

Descriptive Note:

Conference paper

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s):

Report Date:

2002-01-01

Pagination or Media Count:

21.0

Abstract:

A generalized Sundman transformation dt crnds for exponent n 1 may be used to accelerate the numerical computation of high-eccentricity orbits, by transforming time t to a new independent variable s. Once transformed, the integration in uniform steps of s effectively gives analytic step variation in t with larger time steps at apogee than at perigee, making errors at each point roughly comparable. In this paper, we develop techniques for assessing accuracy of s-integration in the presence of perturbations, and analyze the effectiveness of regularizing the transformed equations. A computational speed comparison is provided.

Subject Categories:

  • Celestial Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE