Astrophysics

   

Evolution of the Ring of Gravitating Bodies with and Without the Central Body and Properties of Their Chaotic Behavior

Authors: A.V. Melkikh, E.A. Melkikh, V.A. Kozhevnikov

The time dependence of distribution function for the system composed of material points having circular orbits at initial moment of time with and without massive central body is obtained. As a result of chaotization of orbits, a part of material points evaporates (acquires positive total energy). Dependence of the fraction of evaporated material points on the width of the disk, their mass and initial distance to the central body is obtained. Wherein, the maximum fraction of evaporated particles for the case with central body is equal to 0.4. Initial stage of evaporation of a ring of particles with a central body is a subdiffusion with the dependence of the mean square bias on time =Kαt^α, where α = 0.27. For the case without a central body, the fraction of evaporated particles is obtained as a function of the number of particles in the ring and virial ratios. The dependence of the fraction of particle pairs leaving the system on the number of particles in the ring is obtained. The average fraction of pairs for the virial ratio K = -U turned out to be 0.2. Power spectra characterizing the evaporation of particles, approximated by a power-law dependence on frequency, are obtained.

Comments: 35 Pages.

Download: PDF

Submission history

[v1] 2018-06-27 23:19:02

Unique-IP document downloads: 20 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus