Small Perturbations on Artificial Satellites as an Inverse Problem

The geocentric motion of a satellite is mathematically simulated by a system of second order ordinary differential equations involving two perturbing functions. The first one represents the second term of the gravitational potential of the Earth and the second is due to the atmospheric drag. Assumin...

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Autor principal: Zadunaisky, P.E.
Formato: JOUR
Materias:
Taylor expansion
Computer simulation
Differential equations
Drag
Gravitational effects
Integral equations
Inverse problems
Measurement errors
Motion control
Perturbation techniques
Polynomial approximation
Vectors
Satellite communication systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00189251_v39_n4_p1270_Zadunaisky
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00189251_v39_n4_p1270_Zadunaisky
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spelling todo:paper_00189251_v39_n4_p1270_Zadunaisky2023-10-03T14:16:17Z Small Perturbations on Artificial Satellites as an Inverse Problem Zadunaisky, P.E. Taylor expansion Computer simulation Differential equations Drag Gravitational effects Integral equations Inverse problems Measurement errors Motion control Perturbation techniques Polynomial approximation Vectors Satellite communication systems The geocentric motion of a satellite is mathematically simulated by a system of second order ordinary differential equations involving two perturbing functions. The first one represents the second term of the gravitational potential of the Earth and the second is due to the atmospheric drag. Assuming that the solutions of the differential equations and their first derivatives are known from measurements, a stepwise computation of the perturbations is made through a deterministic method. Two examples illustrate our method. In a real case our method should help to design an appropriate maneuver to correct the motion of a satellite. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00189251_v39_n4_p1270_Zadunaisky
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Taylor expansion
Computer simulation
Differential equations
Drag
Gravitational effects
Integral equations
Inverse problems
Measurement errors
Motion control
Perturbation techniques
Polynomial approximation
Vectors
Satellite communication systems
spellingShingle Taylor expansion
Computer simulation
Differential equations
Drag
Gravitational effects
Integral equations
Inverse problems
Measurement errors
Motion control
Perturbation techniques
Polynomial approximation
Vectors
Satellite communication systems
Zadunaisky, P.E.
Small Perturbations on Artificial Satellites as an Inverse Problem
topic_facet Taylor expansion
Computer simulation
Differential equations
Drag
Gravitational effects
Integral equations
Inverse problems
Measurement errors
Motion control
Perturbation techniques
Polynomial approximation
Vectors
Satellite communication systems
description The geocentric motion of a satellite is mathematically simulated by a system of second order ordinary differential equations involving two perturbing functions. The first one represents the second term of the gravitational potential of the Earth and the second is due to the atmospheric drag. Assuming that the solutions of the differential equations and their first derivatives are known from measurements, a stepwise computation of the perturbations is made through a deterministic method. Two examples illustrate our method. In a real case our method should help to design an appropriate maneuver to correct the motion of a satellite.
format JOUR
author Zadunaisky, P.E.
author_facet Zadunaisky, P.E.
author_sort Zadunaisky, P.E.
title Small Perturbations on Artificial Satellites as an Inverse Problem
title_short Small Perturbations on Artificial Satellites as an Inverse Problem
title_full Small Perturbations on Artificial Satellites as an Inverse Problem
title_fullStr Small Perturbations on Artificial Satellites as an Inverse Problem
title_full_unstemmed Small Perturbations on Artificial Satellites as an Inverse Problem
title_sort small perturbations on artificial satellites as an inverse problem
url http://hdl.handle.net/20.500.12110/paper_00189251_v39_n4_p1270_Zadunaisky
work_keys_str_mv AT zadunaiskype smallperturbationsonartificialsatellitesasaninverseproblem
_version_ 1782023916751945728

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