On integrability of the Gil'den-Meshcherskij problem

DOI10.1016/0021-8928(82)90094-6zbMath0514.70010OpenAlexW1970167691MaRDI QIDQ1051454

Lev M. Berkovich

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90094-6

zbMATH Keywords

variable masssymmetry groupautonomous formEddington-Jeans lawGil'den-Meshcherskij problemKummer- Liouville transformation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Variable mass, rockets (70P05) Explicit solutions, first integrals of ordinary differential equations (34A05) Two-body problems (70F05)

Cites Work

• Transformation of the Gil'den-Meshcherskii problem to its stationary form and the laws of mass change

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