On the effect of the central body small deformations on its satellite trajectory in the problem of the two-body gravitational interaction

The problem of the two-body gravitational interaction has been solved numerically based on the classical mechanics principles. One of the bodies is a deformable three-axis ellipsoid (central body) and the other is a material point (satellite). The relationship of the angular discrepancy between the...

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Bibliographic Details
Published in:arXiv.org 2020-08
Main Authors: Kiryan, Dmitry G, Kiryan, George V
Format: Article
Language:English
Subjects:
Angular position
Classical mechanics
Deformation effects
Formability
Gravity anomalies
Three axis
Online Access:Get full text
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Summary:The problem of the two-body gravitational interaction has been solved numerically based on the classical mechanics principles. One of the bodies is a deformable three-axis ellipsoid (central body) and the other is a material point (satellite). The relationship of the angular discrepancy between the calculated and actual positions of the satellite pericenter with central body's gravity anomaly has been established.
ISSN:2331-8422
DOI:10.48550/arxiv.2008.02802