TY - JOUR T1 - A PREDICTION REGARDING THE WEAKENING OF THE BLUE SHIFT OF LIGHT FROM GEOSYNCHRONOUS SATELLITES AU - Yarman, Tolga AU - Arik, Metin AU - Kholmetskii, Alexander PY - 2011 DA - June JF - TWMS Journal of Applied and Engineering Mathematics JO - JAEM PB - Işık University Press WT - DergiPark SN - 2146-1147 SP - 109 EP - 125 VL - 01 IS - 1 LA - en AB - 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. KW - Geosynchronous satellites KW - blue shift KW - red shift KW - general theory of relativity CR - Anderson, J. D., Campbell, J. K., Ekelund, J. E., Ellis, J. and Jordan, J. F., (2008), Physical Review Letters, 100, 091102. CR - Yarman,T., (2004), AFLB, Vol 29 (3). CR - Yarman,T., (December, 2006), Foundations of Physics Letters, Volume 19. CR - Yarman,T. and Rozanov, V. B., (2006), International Journal of Computing Anticipatory Systems, Partial Proceedings of the Seventh International Conference CASYS’05 on Computing Anticipatory Systems, Lige, Belgium, August 8-13, 2005, D. M. Dubois (Editor), Published by CHAOS, Volume 17, pp. 172-200 (ISSN 1373-5411, ISBN 2-930396-03-2). CR - Yarman,T., Rozanov, V.B. and Arik, M., (2-5 July 2007), The Incorrectness of the Principle of Equivalence and the Correct Principle of Equivalence, Physical Interpretation of Relativity Theory Conference, Moscow. CR - Yarman,T., (May 2009), Revealing The Mystery of The Galilean Principle Of Relativity, Part I: Basic Assertions, International Journal of Theoretical Physics, 10.1007/s10773-009-0005-2. CR - Einstein, A.,(1953), The Meaning of Relativity, Princeton University Press. CR - Sobczyk, G. and Yarman,T., (2008), Unification of Space-Time-Matter-Energy, Applied and Compu- tational Mathematics, An International Journal, Volume7 (2), 255-268. CR - Mould, R. A., (1994), Basic Relativity, Springer-Verlag Newyork Inc. CR - Newton, I., (1686), Principia, Book III. CR - Planck, M., On the Law of Distribution of Energy in the Normal Spectrum, Annalen der Physik, Vol. 4, p. 553. CR - Einstein, A., (1905), Does the Inertia of a Body Depend Upon Its Energy Content?, Annalen der Physik 18: 639-641. CR - K¨undig, W., (1963), Phys. Rev. 129, 2371. CR - Kholmetskii, A. L., Yarman,T., Missevitch, O. V., (2008), K¨undig’s Experiment on the Transverse Doppler Shift Re-Analyzed, Physica Scripta, 78. CR - Kholmetskii, A. L., Yarman,T., Missevitch, O. V. and Rogozev, B. I., (2009), A M¨ossbauer Experiment in a Rotating System on the Second-Order Doppler Shift: Confirmation of the Corrected Result by K¨undig, Physica Scripta, 79 065007. CR - Yarman,T., (2005), Proceedings of International Meeting on Physical Interpretation of Relativity Theory, Moscow, 4 - 7 July 2005 / Edited by M.C. Duffy, V.O. Gladyshev, A.N. Morozov, P. Rowlands - Moscow: BMSTU PH. CR - Yarman,T., (1999), Invariances Based on Mass And Charge Variation, Manufactured by Wave Me- chanics, Making up The Rules of Universal Matter Architecture, Chimica Acta Turcica, Volume 27. [18] Yarman,T., (2004), Optics & Spectroscopy, 97 (5), 683. CR - Landau, L. D. and Lifshitz, E. M., (1999), ”The Classical Theory of Fields”, Chapter 10, Paragraph 88, Butterworth & Heinemann. CR - Metin Arik graduated from Istanbul University Faculty of Science in 1969 with a diploma degree in Physics with minors in Mathematics. UR - https://dergipark.org.tr/en/pub/twmsjaem/issue//761816 L1 - https://dergipark.org.tr/en/download/article-file/1181382 ER -