Account of additional perturbations in canonical system solutions obtained by Lie transforms

Details Account of additional perturbations in canonical system solutions obtained by Lie transforms Account of additional perturbations in canonical system solutions obtained by Lie transforms

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..337t&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, Aug. 1984, p. 337-342.

Mathematics

Canonical Forms, Lie Groups, Orbit Calculation, Perturbation Theory, Satellite Perturbation, Transformations (Mathematics), Celestial Mechanics

Scientific paper

Attention is given to a method which allows one to obtain the solution of perturbed canonical or noncanonical systems using the known basic theory constructed by the Lie transform-based technique. Explicit expressions are obtained which take into account, either analytically or by numerical integration, the perturbations of forces that do not admit a potential form; existing basic theories are expanded by inclusion of the additional perturbations.

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