A prediction regarding the weakening of the blue shift of light from geosynchronous satellites

Abstract

We base the present approach, on an alternative theory of gravitation, consisting essentially on the law of energy conservation broadened to embody the mass & energy equivalence of the Special Theory of Relativity, and remedying, known problems and incompatibilities, associated with the actually reigning conception. The mere rotation problem of say, a sphere, can well be undertaken, along the same idea. Accordingly, we consider the problem of gravity created by a rotating celestial body. Finally we apply our results to the case of a geosynchronous satellite, which is, schematically speaking, nothing but a clock placed on a considerably high tower. The approach ironically furnishes the Newton’s law of motion, which however we derive, based on just static forces, and not an acceleration, governing a motion. (There is anyway no motion for a geosynchronous satellite, when observed from Earth.) We predict accordingly that, the blue shift of light from a geosynchronous satellite on an orbit of radius rGs should be softened as much as (ω 2 /2c 2 )(r 2 Gs − R 2 ) as compared to what is expected classically; here ω Earth’s self rotation angular momentum, R Earth’s radius, and c the speed of light in empty space. We hope, the validity of this unforeseen prediction, can soon be checked out.