Movement simulation of the variable masses in the Gylden-Meshcherskii problem

Journal Article · Wed Dec 10 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4904668· OSTI ID:22390809

Starinova, Olga L.; Salmin, Vadim V. ^[1]

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1. Samara State Aerospace University (National Research University), 34, Moskovskoye shosse, Samara, 443086 (Russian Federation)

The Gylden-Meshcherskii problem is used for various cases of dynamics of two points of the variable mass. For example, it describes of double star evolution due to mass loss at the photon expense and the corpuscular activity. Except, it is mathematical model for the movement of spacecraft with propulsion system. In the present work the mass variation laws, allowing a stationary form of the movement differential equations are considered. Movement simulation for all cases was conducted. The relative movement trajectories was constructed as for known Eddington-Jeans laws and for other mass variation laws.

• OSTI ID: 22390809
• Journal Information: AIP Conference Proceedings, Vol. 1637, Issue 1; Conference: ICNPAA 2014: 10. International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Narvik (Norway), 15-18 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
DIFFERENTIAL EQUATIONS
MASS TRANSFER
MATHEMATICAL MODELS
PHOTONS
PROPULSION SYSTEMS
SPACE VEHICLES
STAR EVOLUTION
STELLAR WINDS
TRAJECTORIES
VARIATIONS