A procedure for the solution of Lambert's orbital boundary-value problem

Details A procedure for the solution of Lambert's orbital boundary-value problem A procedure for the solution of Lambert's orbital boundary-value problem

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48..145g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 2, 1990, p. 145-165.

Statistics

Computation

6

Boundary Value Problems, Elliptical Orbits, Kepler Laws, Orbit Perturbation, Algorithms, Computational Astrophysics

Scientific paper

A procedure is described that provides a universal solution for Lambert's problem. Based on the approach of Lancaster et al. (1966 and 1969), the procedure uses Halley's cubic iteration process to evaluate the unknown parameter, x, at the heart of the approach, initial estimates for x being selected so that three iterations of the process always suffice to yield an accurate value. The overall procedure has been implemented via three Fortran-77 subroutines, listings of which are appended to the paper, and the way in which the subroutines have been tested is outlined.

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