Second order adiabatic invariants associated with the two-body problem with slowly varying mass

Details Second order adiabatic invariants associated with the two-body problem with slowly varying mass Second order adiabatic invariants associated with the two-body problem with slowly varying mass

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..37..359s&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 37, Dec. 1985, p. 359-369.

Physics

4

Adiabatic Equations, Celestial Mechanics, Two Body Problem, Canonical Forms, Invariance, Kepler Laws, Mass, Polar Coordinates

Scientific paper

An adiabatic invariant is characterized by the property that its derivative is small and oscillatory. Therefore, assuming that such a quantity is constant does not lead to a cumulative error as t→∞. In this paper, using action and angle variables, adiabatic invariants to 0(1) and 0(ɛ) are found for the two-body problem with a slowly varying gravitational constant.

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