2012
DOI: 10.1016/j.pss.2011.09.010
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An iterative method for obtaining a nonlinear solution for the temperature distribution of a spinning spherical body irradiated by a central star

Abstract: We developed an iterative method for determining the three-dimensional temperature distribution in a spherical spinning body that is irradiated by a central star. The seasonal temperature change due to the orbital motion is ignored. It is assumed that material parameters such as the thermal conductivity and the thermometric conductivity are constant throughout the spherical body. A general solution for the temperature distribution inside a body is obtained using spherical harmonics and spherical Bessel functio… Show more

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Cited by 7 publications
(1 citation statement)
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“…For small asteroids and meteoroids comparable to the size of the thermal skin depth some models have included 3D heat conduction (e.g. Spitale & Greenberg 2001;Breiter, Vokrouhlický & Nesvorný 2010;Sekiya, Shimoda & Wakita 2012). In numerical models the 1D and 3D heat conduction equations are solved numerically using a finite difference method, whilst analytical models linearise the equations so that a first order mathematical function approximation can be obtained.…”
Section: Overview Of Previous Modelsmentioning
confidence: 99%
“…For small asteroids and meteoroids comparable to the size of the thermal skin depth some models have included 3D heat conduction (e.g. Spitale & Greenberg 2001;Breiter, Vokrouhlický & Nesvorný 2010;Sekiya, Shimoda & Wakita 2012). In numerical models the 1D and 3D heat conduction equations are solved numerically using a finite difference method, whilst analytical models linearise the equations so that a first order mathematical function approximation can be obtained.…”
Section: Overview Of Previous Modelsmentioning
confidence: 99%