caa a22 4500 44536128X CHVBK 20180317142916.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s11071-010-9890-4 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9890-4 Gaite José IDR/UPM, ETSI Aeronáuticos, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain aut Nonlinear analysis of spacecraft thermal models [Elektronische Daten] [José Gaite] We study the differential equations of lumped-parameter models of spacecraft thermal control. Firstly, we consider a satellite model consisting of two isothermal parts (nodes): an outer part that absorbs heat from the environment as radiation of various types and radiates heat as a black body, and an inner part that just dissipates heat at a constant rate. The resulting system of two nonlinear ordinary differential equations for the satellite's temperatures is analyzed with various methods, which prove that the temperatures approach a steady state if the heat input is constant, whereas they approach a limit cycle if it varies periodically. Secondly, we generalize those methods to study a many-node thermal model of a spacecraft: this model also has a stable steady state under constant heat inputs that becomes a limit cycle if the inputs vary periodically. Finally, we propose new numerical analyses of spacecraft thermal models based on our results, to complement the analyses normally carried out with commercial software packages. Springer Science+Business Media B.V., 2010 Spacecraft thermal control nationallicence Nonlinear oscillations nationallicence Perturbation methods nationallicence Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 283-300 0924-090X 65:3<283 2011 65 11071 https://doi.org/10.1007/s11071-010-9890-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9890-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gaite José IDR/UPM, ETSI Aeronáuticos, Universidad Politécnica de Madrid, Pza. Cardenal Cisneros 3, 28040, Madrid, Spain aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 65/3(2011-08-01), 283-300 0924-090X 65:3<283 2011 65 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer