A Prediction Regarding the Softening of the Blue Shift of Light from Geosynchronous Satellites

Tolga Yarman

Okan University, Akfirat, Istanbul, TURKEY

e-mail: tyarman@gmail.com

Metin Arik

Bogazici University, Istanbul, TURKEY

e-mail: metin.arik@boun.edu.tr

Alexander L. Kholmetskii

Belarus State University, Minsk, BELARUS

e-mail: kholm@bsu.by

.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  should be softened as much as  as compared to what is expected classically; here  is 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.

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1.   Introduction

The attempt presented herein is triggered by anomalies recently reported about spacecrafts flybys of Earth. [[i]] The related results, so far, remain unexplained. Before we frame an explanation of these results, we find essential to undertake the gravitational effect of a rotating celestial body on an object, first, rotating on a geosynchronous orbit (GsO) , in the light of recent, few publications. [[ii], [iii], [iv], [v], [vi]] Even before that, it becomes important to understand what happens to an object residing on, or in, a rotating celestial body, at rest, as referred to that body. Classically speaking, the rotation affects the object, due to just the tangential instantaneous velocity, the object is carried along with, through the displacement in question. [[vii]] In other words, classically, no specific attribution is specifically made to the acceleration.

At this point we hate not to refer in abundance, to the widely adopted approaches, and by doing so, we would like to request the patience of the conservative reader. It is that, we hope, the approach we will present herein, will constitute an opportunity to circumvent difficulties associated with the established understanding. And we find it simpler to go ahead directly, instead of losing time, also direction, amongst futile comparisons and efforts toward the justification of our approach. If open-mindedness is offered, then we hope equations and experimental results, will efficiently speak for themselves.

Thus consider two clocks placed respectively, on top of say Eiffel tower, and on the entrance level of this. The only difference on the ticking rates of these clocks, as referred to an observer on Earth, is classically speaking, due to the difference of altitudes they are located at. In other words, the rotation of Earth (classically speaking), does not bring in, any additional effect (as regards to a fixed observer on Earth). According to the approach considered herein, this is not, however, so.

Below we first summarize our approach in question, vis-à-vis gravitation, omitting at first the rotation of the source. Next we undertake, along with the same idea, the mere rotation problem, this time, omitting any additional effect, and specifically gravitation. We then 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, planted on Earth.

[ [i] ]    John D. Anderson, James K. Campbell, John E. Ekelund, Jordan Ellis, and James F. Jordan, Physical Review Letters, 100, 091102 (2008).

[ [ii] ]   T. Yarman, AFLB, Vol 29 (3), 2004.

[ [iii] ]  T. Yarman, Foundations of Physics Letters, Volume 19, December, 2006.

[ [iv] ]  T. Yarman, V. B. Rozanov, International Journal of Computing Anticipatory Systems,   Partial Proceedings of the Seventh International Conference CASYS'05 on Computing Anticipatory Systems, Liège, Belgium, August 8-13, 2005, D. M. Dubois (Editor), Published by CHAOS, Volume 17, 2006, pp. 172-200 (ISSN 1373-5411, ISBN 2-930396-03-2).

[ [v] ]   T. Yarman, V.B. Rozanov, M. Arik, The Incorrectness of the Principle of Equivalence and the Correct Principle of Equivalence,  Physical Interpretation of Relativity Theory Conference, Moscow, 2-5 July 2007.

[ [vi] ]  T. Yarman, Revealing The Mystery of The Galilean Principle Of Relativity, Part I: Basic Assertions, International Journal of Theoretical Physics, 10.1007/s10773-009-0005-2, May 2009.

[ [vii] ] A. Einstein, The Meaning of Relativity, Princeton University Press, 1953.

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