Original Paper
Stochastization in gravitating systems
D.V. Ovod,
L.P. Ossipkov,
D.V. Ovod
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, Russia
Search for more papers by this authorCorresponding Author
L.P. Ossipkov
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, Russia
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, RussiaSearch for more papers by this authorD.V. Ovod,
L.P. Ossipkov,
D.V. Ovod
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, Russia
Search for more papers by this authorCorresponding Author
L.P. Ossipkov
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, Russia
Department of Space Technologies and Applied Astrodynamics, Saint Petersburg State University, 35 Universitetskij pr., Staryj Peterhof, Saint Petersburg 198504, RussiaSearch for more papers by this authorAbstract
We discuss the effective stochastization time τe for gravitating systems in terms of the Krylov and GurzadyanSavvidi paradigm. The truncated Holtsmark distribution for a random force proposed by Rastorguev and Sementsov implies τe/τc α N0.20, where τc is the crossing time. We find in the case of the Petrovskaya distribution for a random force τe/τc α Nk, where k = 0.27–0.31, depending on the oblateness and rotation of the system, and τe/τc α N1/3/(ln N)1/2 when N » 1. The latter result agrees with those of Genkin (1969) and Gurzadyan & Kocharyan (2009) (k = 1/3). (© 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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