The spinning bodies motion stability by Lyapunov in an axially symmetric gravitational field
type: Item
instance of: scholarly article
title: The spinning bodies motion stability by Lyapunov in an axially symmetric gravitational field
zbMATH Open document ID: 0626.70020
DOI: 10.1007/BF00767275
author: Anton P. Ryabushko
author: Alexander A. Bakhan'kov
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: A partial solution of the system of differential equations of circular motion of spinning celestial bodies in a Lense-Thirring field is investigated. Four of the first integrals of motion are indicated. The existence and stability by Lyapunov regions is found.
reviewed by: Gasanbek T. Arazov
Mathematics Subject Classification ID: 70H40
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 70M20
Mathematics Subject Classification ID: 70C20
zbMATH DE Number: 4018442
zbMATH Keywords: circular motion of spinning celestial bodies
zbMATH Keywords: Lense-Thirring field
zbMATH Keywords: first integrals of motion
zbMATH Keywords: existence
zbMATH Keywords: stability
zbMATH Keywords: Lyapunov regions
MaRDI profile type: Publication
cites work: Q4190911
cites work: Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
cites work: Spinning test-particles in general relativity. I
cites work: Q5801898
description: scientific article; zbMATH DE number 4018442