2018-02-21T17:09:40Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:39663
2016-03-11T11:59:46Z
7374617475733D707562
7375626A656374733D6165726F6E617574696361
747970653D61727469636C65
Nonlinear analysis of a simple model of temperature evolution in a satellite
Gaite Cuesta, José
Sanz Andres, Angel Pedro
Perez Grande, María Isabel
Aeronáutica
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.
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2009
info:eu-repo/semantics/article
Artículo
Nonlynear Dynamics, ISSN 0924-090X, 2009, Vol. 58
PeerReviewed
application/pdf
spa
http://link.springer.com/article/10.1007%2Fs11071-009-9488-x#/page-1
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11071-009-9488-x
http://oa.upm.es/39663/