Vlasov–Poisson–Poisson Equations, Critical Mass, and Kordylewski Clouds
- Авторы: Vedenyapin V.1, Salnikova T.2, Stepanov S.3
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Учреждения:
- 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
- Выпуск: Том 99, № 2 (2019)
- Страницы: 221-224
- Раздел: 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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Аннотация
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.
Об авторах
V. Vedenyapin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Автор, ответственный за переписку.
Email: vicveden@yahoo.com
Россия, Moscow,
125047
T. Salnikova
Faculty of Mechanics and Mathematics,Moscow State University
Автор, ответственный за переписку.
Email: tatiana.salnikova@gmail.com
Россия, Moscow, 119991
S. Stepanov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academyof Sciences
Автор, ответственный за переписку.
Email: stepsj@ya.ru
Россия, Moscow, 119333