Vlasov-Poisson-Poisson equations, critical mass and kordylewski clouds
2019 ◽
Vol 485
(3)
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pp. 276-280
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Keyword(s):
A derivation of the Vlasov-Poisson-Poisson equation is proposed for studying stationary solutions of a system of gravitating charged particles in vicinity of triangular libration points (Kordylevsky cloud). Stationary solutions are sought as functions of integrals, which leads to elliptic nonlinear equations for the potentials of the gravitational and electrostatic fields. This gives a critical mass: for bodies with large masses dominates gravitation forces, and for bodies with smaller masses - electrostatic forces.
1969 ◽
Vol 33
(1)
◽
pp. 105-110
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Keyword(s):
2014 ◽
Vol 352
(2)
◽
pp. 461-466
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Keyword(s):
1987 ◽
Vol 37
(2)
◽
pp. 199-208
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2014 ◽
Vol 19
(9)
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pp. 3374-3398
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1989 ◽
Vol 29
(4)
◽
pp. 195-199
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