Physics
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jgcd....7..462h&link_type=abstract
Journal of Guidance, Control, and Dynamics (ISSN 0731-5090), vol. 7, July-Aug. 1984, p. 462-470.
Physics
1
Orbital Maneuvers, Trajectory Optimization, Transfer Orbits, Coordinates, Elliptical Orbits, Equations Of Motion, Green'S Functions, Radii
Scientific paper
For certain classes of trajectories the cost function (characteristic velocity) can be written as a 'quasilinear' function of the change in state. In the case presented, impulsive transfers between coplanar, coaxial orbits with transfer time and angle unrestricted, Green's theorem can be used to determine the optimal transfer between given terminal states. This is done in a manner which places no restrictions on the number of impulses used and leads to globally optimal results. These results are used to show that the Hohmann transfer and the biparabolic transfer provide global minima in their respective regions. The regions in which monoelliptic and biparabolic trajectories are globally optimal are also defined for elliptic terminal states. The results are applicable to the case in which restrictions are placed on the radius of closest approach or greatest recession from the center of the force field.
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