, Volume 60, Issue 3, pp 429–433 | Cite as

Probabilistic Approach to the Scattering of Gravitational Centers


Some controversial results that arise in the problem of the scattering of gravitational objects are analyzed in this paper. First, the approach leading to possible use of the approximation of pairwise (binary) collisions in the theory of scattering in plasmas and in gravitational systems is examined. It is stressed that this possibility is not a consequence of neglecting long-range (distant) collisions. Next, results obtained for the number of scattering events of a test particle in an infinite gravitational medium with a fixed velocity change are discussed. The conclusion that the function describing the number of particle collisions is divergent is shown to be incorrect. This is because the finite time duration of collisions with large impact parameters is neglected. In concluding, we show that the previously proposed variant of a modified Holtsmark distribution is erroneous.


self-gravitation relaxation stochasticity 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    T. A. Agekyan, Astron. zh. 36, 41 (1959).ADSMathSciNetGoogle Scholar
  2. 2.
    I. V. Petrovskaya, Astron zh. 46, 824 (1969).ADSGoogle Scholar
  3. 3.
    I. V. Petrovskaya, Astron zh. 46, 1220 (1969).ADSGoogle Scholar
  4. 4.
    I. V. Petrovskaya, Pis’ma v Astron zh. 12, 562 (1986).ADSGoogle Scholar
  5. 5.
    A. S. Rastorguev, O. V. Chumak, and N. D. Utkin, Pis’ma v Astron zh., in press (2017).Google Scholar
  6. 6.
    S. Chandrasekhar, Statistical Problems in Physics and Astrophysics [Russian translation], IL, Moscow (1947).Google Scholar
  7. 7.
    D. V. Sivukhin, Reviews of Plasma Physics, vol. 4 [in Russian], Atomizdat, Moscow (1964), p. 81.Google Scholar
  8. 8.
    T. A. Agekyan, Astron. zh. 38, 1055 (1961).ADSGoogle Scholar
  9. 9.
    S. Chandrasekhar, Principles of Stellar Dynamics [Russian translation], IL, Moscow (1948).Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

Personalised recommendations