Article

INTEGRABILITY OF THE EQUATIONS OF MOTION USING LOCAL INTEGRALS

Shamshiev Fazliddin TulaevichNational University of Uzbekistan, Department of Astron

Zenodo (CERN European Organization for Nuclear Research)repository2022en

ABI

Abstract

In our previous paper [1], potential is obtained that admit local integrals of motion for steadystate stellar systems. The concept of a local integral, in contrast to D.Lynden-Bell [2], as a separate isolated surface, was introduced by V.A.Antonov [3] for an arbitrarily given field. Here we have the possibility of finding a trajectory in the presence of a local integral, in contrast to the true integral of motion with a local integral it is not always possible to completely find trajectories. As an example, using [1] we present the result of one of the cases of integrability of the equations of motion for a space model. Key words: stellar dynamics, gravitational potential, integrals of motion.

Topics

Advanced Theoretical and Applied Studies in Material Sciences and Geometry Advanced Numerical Analysis Techniques

Identifiers

DOI: 10.5281/zenodo.7198943

Citations and references

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