Saturday, November 29, 2014

Centripetal Force, Spherical Flattening, and the Electrodynamic Sun

This was my response to a discussion forum item, this evening. Regrettably, my response -- presently -- lacks any calculus equations. I'm re-publishing my response, here -- personally -- for later reference as in regards to the physics of electrodynamics. Perhaps it may seem novel to anyone else, as well.

At the north and south geographic poles of the earth -- effectively, the two points on the surface of the earth, located at the earth's rotational axis -- there, the angular momentum due to the earth's rotation would be zero. Gravity would nonetheless provide a force of gravity, at the earth's geographic poles -- there, nothing counteracted by angular momentum as due to the earth's rotation.

Thus, in regards to the geological material of the earth, the earth is not a perfect sphere. Near and at the geographic equator of the earth, the earth's continuous geological mass has a greater angular momentum than the mass at the poles of the earth, but not much less of a force of gravity, there. So, in an offhand calculation of forces created by angular momentum, at the equator -- considering force due to angular momentum, such that, in a circular pendulum, would be counteracted by the centripetal force contributed to the arm of the pendulum -- but insofar as when the only effective "arm of the pendulum" is imposed by the net mass of the earth, then the force due to that angular momentum is of more of a magnitude at the equator -- thus, to a greater difference unto force of gravity, at the equator. Therefore -- albeit, without any lengthy calculation for exact magnitude of difference, at any latitude of the earth's surface -- as due to the earth's rotation, the geological material of the earth undergoes more of a radial expansion, near and at the equatorial latitude.

Certainly, there would be a similar effect encountered by any object with a non-point mass, in rotation along any single axis of rotation. The earth, perhaps -- as in a view towards the geological material of the earth, of the earth beneath the atmosphere of the earth and the earth's entire hydrosphere -- as in regards to the essentially geological qualities of the earth, the earth might be viewed as a large, rock-surfaced mass with a liquid mantle and possibly a solid core -- as towards a certain average viscosity of the earth's mantle, contrasted to the average viscosity of the material of any gaseous planet, or of any planet having experienced a certainly very-long-term geological cooling.

The spherical flattening of a rotating planetary body perhaps may be more evident in observation of the shape of the planet, Saturn -- perhaps less so, of a by-in-large geologically inert planet, such as Mars.

Considering the material of the nearest solar neighbor, the sun, I'm not certain if the "Sphere flattening effect" could be described so easily about the sun's mass. Certainly, there would be more forces than centripetal force and gravity, affecting the sun's own mass  -- including forces resulting of solar convection, and the net electrodynamic force of the magnetic field of the sun, such as would affect the plasma mass of the sun. Perhaps the sun might also be shaped like a flattened sphere, nonetheless.