A note on the first-order theories of equilibrium figures of celestial bodies
Impacte
Scholar |
Altres documents de l'autoria: López Ortí, José Antonio; Forner Gumbau, Manuel; Barreda Rochera, Miguel
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Mostra el registre complet de l'elementcomunitat-uji-handle:10234/9
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http://dx.doi.org/10.1080/00207160.2010.521817 |
Metadades
Títol
A note on the first-order theories of equilibrium figures of celestial bodiesData de publicació
2011Editor
Taylor & FrancisISSN
0020-7160; 1029-0265Cita bibliogràfica
José A. López Ortí, Manuel Forner Gumbau & Miguel Barreda Rochera (2011): A note on the first-order theories of equilibrium figures of celestial bodies, International Journal of Computer Mathematics, 88:9, 1969-1978International Journal of Computer Mathematics, 2011, vol. 88, no.9
Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.tandfonline.com/doi/full/10.1080/00207160.2010.521817#Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
One of the main problems in celestial mechanics is the determination of the shape of the equilibrium configuration of celestial bodies. In this paper, a model of a fluid mass rotating in space like a rigid body will ... [+]
One of the main problems in celestial mechanics is the determination of the shape of the equilibrium configuration of celestial bodies. In this paper, a model of a fluid mass rotating in space like a rigid body will be developed. To this aim, the equipotential surfaces are developed by using the Neumann series with respect to the Clairaut coordinates, and from these developments, the equilibrium equations and the boundary conditions can be obtained. Classical methods involve convergence problems, and in this paper two methods are developed to solve this problem, one based on numerical quadrature methods and the other one based on an analytical development. [-]
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