Gravitational field of a rotating planet with a polytropic index of unity
Abstract
An exact solution of the Poisson equation for the density distribution in a rotating planet, obtained for a polytropic exponent n = 1, is applied to the calculation of the gravitational moments J2, J4, and J6 of the planet. The results are used to derive the equation of state of a polytropic model of the planet Jupiter.
- Publication:
-
Astronomicheskii Zhurnal
- Pub Date:
- October 1974
- Bibcode:
- 1974AZh....51.1052H
- Keywords:
-
- Density Distribution;
- Gravitational Fields;
- Planetary Gravitation;
- Planetary Rotation;
- Poisson Equation;
- Astronomical Models;
- Boundary Value Problems;
- Equations Of State;
- Jupiter (Planet);
- Numerical Analysis;
- Planetary Mass;
- Polytropic Processes;
- Lunar and Planetary Exploration