Some applications of Lie groups in astrodynamics

Details Some applications of Lie groups in astrodynamics Some applications of Lie groups in astrodynamics

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983asee.nasaq....j&link_type=abstract

In NASA. Johnson (Lyndon B.) Space Center The 1983 NASA/ASEE Summer Faculty Fellowship Research Program Research Reports 10 p

Mathematics

Group Theory

Astrodynamics, Differential Equations, Group Theory, Kepler Laws, Lie Groups, Control Theory, Hamiltonian Functions, Operators (Mathematics), Trajectories

Scientific paper

Differential equations that arise in astrodynamics are examined from the
standpoint of Lie group theory. A summary of the Lie method is given for
first degree differential equations. The Kepler problem in Hamiltonian
form is treated by this method. Extension of the Lie method to optimal
trajectories is outlined.

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