On the normalization of perturbed Keplerian systems

Details On the normalization of perturbed Keplerian systems On the normalization of perturbed Keplerian systems

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994aj....107.1900a&link_type=abstract

The Astronomical Journal (ISSN 0004-6256), vol. 107, no. 5, May 1994, p. 1900-1903

Statistics

1

Evaluation, Formulas (Mathematics), Integrals, Kepler Laws, Normalizing (Statistics), Orbit Perturbation, Stellar Systems, Analytic Functions, Hamiltonian Functions, Polynomials

Scientific paper

Formulas are derived to evaluate integrals required to reduce perturbed
Keplerian systems to normal Delaunay systems. The integrals evaluated
involve the most general combinations of (r/a), E (eccentric anomaly),
and f (true anomaly). Except in one case, all the formulas are obtained
in closed form with no expansions in powers of the eccentricity.

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