Motion on an Ellipsoid
Consider a particle moving on a rotating ellipsoid
(x2+y2)/E+E*z2 = a2
where E is the ratio of the major to minor axis. For a planet of "radius" a, rotating with
angular frequency Omega and having gravitational attraction g, we have
E2 = [1-Omega2 a/g]-1
You can specify the properties of the planet, the initial conditions of the particle, and the
forces acting upon it. The display shows the movement of the particle in intertial space
(and of the prime meridian), the position in latitude and longitude, and the position
projected onto the equatorial plane looking down from the north pole. The latter two
displays (on the right side of the figure) are in the rotating system.