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Linear stability analysis in tether system using its Hamiltonian function

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Author(s):
dos Santos, Denilson Paulo Souza ; Neto, Jose Laudelino de Menezes ; Azevedo, Vinicius Tavares ; Formiga, Jorge Kennety Silva
Total Authors: 4
Document type: Journal article
Source: European Physical Journal-Special Topics; v. 232, n. 18-19, p. 9-pg., 2023-12-08.
Abstract

The aim of this work is to study the behavior of a tether system, which consists of two point masses connected each other by a cable, in a Keplerian orbit around a Newtonian center of attraction, with no external forces acting on the system. To do so, after some reductions in the equations of motion of the problem, an Hamiltonian function related to these equations is obtained. Four stationary solutions are found, two of them stable, in which we investigate the parametric linear stability, regarding the parameter of the eccentricity of the elliptical orbit, named e, and a parameter, called a, related to the angle formed between the projection of the tether and the plane of the orbit. Using the Deprit-Hori method and numerical computations, we plot curves separating regions of stability and instability in the plane of parameters alpha x e. (AU)

FAPESP's process: 23/01391-5 - Space Debris: Life Cycle Analysis and Preventive Mitigation
Grantee:Denilson Paulo Souza dos Santos
Support Opportunities: Regular Research Grants
FAPESP's process: 22/13228-9 - Space debris mitigation: dynamics based on maneuvers combined with ground laser and space blower propulsion
Grantee:Jorge Kennety Silva Formiga
Support Opportunities: Regular Research Grants
FAPESP's process: 17/04643-4 - Dynamics and control of space systems by tether
Grantee:Denilson Paulo Souza dos Santos
Support Opportunities: Regular Research Grants
FAPESP's process: 16/15675-1 - MAPPING AND CONTROL OF SPACE DEBRIS: CONSEQUENCES TO THE ENVIRONMENT AND THE SPACE PROGRAM
Grantee:Jorge Kennety Silva Formiga
Support Opportunities: Regular Research Grants