Accession Number:

ADA200383

Title:

On the Solution of Lambert's Orbital Boundary-Value Problem

Descriptive Note:

Technical rept.

Corporate Author:

ROYAL AEROSPACE ESTABLISHMENT FARNBOROUGH (UNITED KINGDOM)

Personal Author(s):

Report Date:

1988-04-01

Pagination or Media Count:

57.0

Abstract:

During the past 30 years there has been a resurgence of interest in the classical orbital boundary value problem of Lambert, largely because of its relevance to space rendezvous and interception. The present Report is aimed at providing details of a universal solution of Lamberts problem. In particular, the report presents starting formulae for Halleys cubic iteration process, used for evaluation of the unknown parameter, x, at the heart of the approach this process always gives highly accurate values of x after three iterations. A fortran-77 computing procedure for a general solution of Lamberts problem has been developed, and its three main subroutines are listed. Details are given of the testing of this procedure. Much of the report is devoted to a classification of the set of all Lambert problems, and to a discussion of various geometric and physical aspects. Keywords Orbits, Celestial mechanics, Lamberts problem, Great Britain.

Subject Categories:

  • Celestial Mechanics
  • Spacecraft Trajectories and Reentry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE