Optimum thrust trajectories in general central force fields

Details Optimum thrust trajectories in general central force fields Optimum thrust trajectories in general central force fields

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aiaa.confr....t&link_type=abstract

American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Palo Alto, Cali

Astronomy and Astrophysics

Astronomy

Thrust Programming, Trajectory Optimization, Transfer Orbits, Earth-Moon Trajectories, Equations Of Motion, Gravitational Effects, Three Body Problem

Scientific paper

The well known 'primer theory' of Lawden is used for the analysis of optimal coplanar orbital transfers in general central force fields. Two first integrals which hold for singular thrusting arcs as well as impulsive thrusts are shown to become linearly dependent, if a circular coasting arc forms part of an optimal trajectory. In the time-free case the two sets of state and adjoint equations can then be integrated analytically. Optimality conditions for a 'Hohmann-transfer' in a general central force field are derived. The theory will be applied to an approximate determination of optimum thrust transfers between a circular parking-orbit around the moon and the L2-libration point.

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