Predictability through invariance

Details Predictability through invariance Predictability through invariance

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992asdy.conf.1711j&link_type=abstract

IN: Astrodynamics 1991; Proceedings of the AAS/AIAA Astrodynamics Conference, Durango, CO, Aug. 19-22, 1991. Pt. 3 (A92-43251 18

Mathematics

Dynamical Systems

Dynamical Systems, Hamiltonian Functions, Invariance, Lie Groups, Orbit Perturbation, Zonal Harmonics, Angular Momentum, Astrodynamics, Equations Of Motion, Gravitational Effects

Scientific paper

Lie theoretical methods of extended groups are applied to Hamilton's equations to develop a procedure for determining the invariants of the solution. The development is expressed in compact vector and matrix notation. The Kepler problem perturbed by the second zonal harmonic, the J2 term, is investigated using this method. It is shown that there are only two scalar generators for this dynamical system corresponding to two integrals of motion, the total energy and the axial component of the angular momentum vector.

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