Nonlinear analysis of a simple model of temperature evolution in a satellite

Gaite Cuesta, José and Sanz Andres, Angel Pedro and Perez Grande, María Isabel (2009). Nonlinear analysis of a simple model of temperature evolution in a satellite. "Nonlynear Dynamics", v. 58 ; pp. 405-419. ISSN 0924-090X. https://doi.org/10.1007/s11071-009-9488-x.

Description

Title: Nonlinear analysis of a simple model of temperature evolution in a satellite
Author/s:
  • Gaite Cuesta, José
  • Sanz Andres, Angel Pedro
  • Perez Grande, María Isabel
Item Type: Article
Título de Revista/Publicación: Nonlynear Dynamics
Date: 2009
Volume: 58
Subjects:
Faculty: Instituto de Microgravedad Ignacio Da Riva (UPM)
Department: Vehículos Aeroespaciales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We analyze a simple model of the heat transfer to and from a small satellite orbiting round a solar system planet. Our approach considers the satellite isothermal, with external heat input from the environment and from internal energy dissipation, and output to the environment as black-body radiation. The resulting nonlinear ordinary differential equation for the satellite’s temperature is analyzed by qualitative, perturbation and numerical methods, which prove that the temperature approaches a periodic pattern (attracting limit cycle). This approach can occur in two ways, according to the values of the parameters: (i) a slow decay towards the limit cycle over a time longer than the period, or (ii) a fast decay towards the limit cycle over a time shorter than the period. In the first case, an exactly soluble average equation is valid. We discuss the consequences of our model for the thermal stability of satellites.

More information

Item ID: 39663
DC Identifier: http://oa.upm.es/39663/
OAI Identifier: oai:oa.upm.es:39663
DOI: 10.1007/s11071-009-9488-x
Official URL: http://link.springer.com/article/10.1007%2Fs11071-009-9488-x#/page-1
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 11 Mar 2016 11:58
Last Modified: 11 Mar 2016 11:59
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