Vlasov–Poisson–Poisson Equations, Critical Mass, and Kordylewski Clouds
- Autores: Vedenyapin V.1, Salnikova T.2, Stepanov S.3
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Afiliações:
- Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
- Faculty of Mechanics and Mathematics, Moscow State University
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Edição: Volume 99, Nº 2 (2019)
- Páginas: 221-224
- Seção: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225663
- DOI: https://doi.org/10.1134/S1064562419020212
- ID: 225663
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Resumo
The Vlasov–Poisson–Poisson equation is derived to study stationary solutions for a system of gravitating charged particles in a neighborhood of triangular libration points (Kordylewski clouds). Stationary solutions are sought in the form of functions of integrals, which leads to elliptic nonlinear equations for the gravitational and electrostatic field potentials. This yields a critical mass: gravitation dominates for bodies with large masses, while electrostatics dominates for bodies with smaller masses.
Sobre autores
V. Vedenyapin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Autor responsável pela correspondência
Email: vicveden@yahoo.com
Rússia, Moscow,
125047
T. Salnikova
Faculty of Mechanics and Mathematics,Moscow State University
Autor responsável pela correspondência
Email: tatiana.salnikova@gmail.com
Rússia, Moscow, 119991
S. Stepanov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academyof Sciences
Autor responsável pela correspondência
Email: stepsj@ya.ru
Rússia, Moscow, 119333