Navigation formula to A. Busemann's variation problem of space travel |
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| Authors: | Ernst Hölder |
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| Institution: | 1. University Mainz, Germany
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| Abstract: | 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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