Navigation formula to A. Busemann's variation problem of space travel

Details Navigation formula to A. Busemann's variation problem of space travel Navigation formula to A. Busemann's variation problem of space travel

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...2..446h&link_type=abstract

Celestial Mechanics, Volume 2, Issue 3, pp.446-447

Physics

Scientific paper

The indicatrix of the variation problem is given (1) by the perturbation differential equation for the semi-major axis and eccentricity, and (2) by a relation between the momentum and eccentric anomaly. The Hamiltonian equations of an extremal solution, therefore, reduce to a navigation equation. The remaining perturbation equations for the longitude of perihelion and the mean longitude at epoch, finally, yield the time dependence that gives the most economic fuel consumption.

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