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Constants of motion in stationary axisymmetric gravitational fields
gravitation black hole physics celestial mechanics chaos stellar dynamics
2012/2/24
The motion of a test particle in a stationary axisymmetric gravitational field is generally nonintegrable unless, in addition to the energy and angular momentum about the symmetry axis, an extra nontr...
Shapes and gravitational fields of rotating two-layer Maclaurin ellipsoids: Application to planets and satellites
two-layer Maclaurin ellipsoids: Application to planets and satellites
2011/10/12
The exact solution for the shape and gravitational field of a rotating two-layer Maclaurin ellipsoid of revolution is compared with predictions of the theory of figures up to third order in the small ...
