Abstract
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(ε) are found for the two-body problem with a slowly varying gravitational constant.
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Salmassi, M. Second order adiabatic invariants associated with the two-body problem with slowly varying mass. Celestial Mechanics 37, 359–369 (1985). https://doi.org/10.1007/BF01261625
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DOI: https://doi.org/10.1007/BF01261625