Abstract
Classical non-stationary two-body problem, described by the equation of the form
is investigated using differential equation transformation methods developed by the author.
All laws of mass variation for which Gylden-Meščerskii problem is reduced to autonomous form are stated. The problem symmetry properties are investigated and reviews of integrable cases from the group point of view are made.
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To Professor G.N. Duboshin on his 75th Birthday.
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Berković, L.M. Gylden-Meščerskii problem. Celestial Mechanics 24, 407–429 (1981). https://doi.org/10.1007/BF01230399
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DOI: https://doi.org/10.1007/BF01230399