Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207160.2010.521817 | Int. J. Comput. Math. |
Keywords | Field | DocType |
equilibrium configuration,classical method,boundary condition,celestial mechanic,analytical development,equilibrium equation,celestial body,equipotential surface,first-order theory,equilibrium figure,convergence problem,neumann series,first order,spherical harmonics,rigid body,numerical quadrature,potential theory,celestial mechanics,spherical harmonic | Celestial mechanics,Boundary value problem,Potential theory,Neumann series,Mathematical analysis,Numerical integration,Spherical harmonics,Equipotential surface,Rigid body,Mathematics | Journal |
Volume | Issue | ISSN |
88 | 9 | 0020-7160 |
Citations | PageRank | References |
3 | 0.70 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| José A. López Ortí | 1 | 10 | 5.57 |
| Manuel Forner Gumbau | 2 | 5 | 2.07 |
| Miguel Barreda Rochera | 3 | 8 | 4.00 |