Vlasov–Poisson–Poisson Equations, Critical Mass, and Kordylewski Clouds
- Authors: Vedenyapin V.V.1, Salnikova T.V.2, Stepanov S.Y.3
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Affiliations:
- 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
- Issue: Vol 99, No 2 (2019)
- Pages: 221-224
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225663
- DOI: https://doi.org/10.1134/S1064562419020212
- ID: 225663
Cite item
Abstract
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.
About the authors
V. V. Vedenyapin
Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Author for correspondence.
Email: vicveden@yahoo.com
Russian Federation, Moscow,
125047
T. V. Salnikova
Faculty of Mechanics and Mathematics,Moscow State University
Author for correspondence.
Email: tatiana.salnikova@gmail.com
Russian Federation, Moscow, 119991
S. Ya. Stepanov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academyof Sciences
Author for correspondence.
Email: stepsj@ya.ru
Russian Federation, Moscow, 119333