Abstract
We have studied the consequences of applying gravitomagnetism to gravitating objects. Gravitomagnetism was the missing part of the Newton’s law of gravitation. This phenomenon is manifest in the generalized Newton’s law of gravitation that is published in A.I. Arbab, Astrophys. Space Sci. 325:37, 2010a. Owing to gravitomagnetism, we have shown, the precession of planetary and pulsars orbits is due to the interaction of these objects with the gravitomagnetic field. We have calculated the gravitomagnetic fields arising from the orbital motion of the planets and binary pulsars and we have shown that they are double the Larmor-like frequency. This effect coincides with the prediction of general relativity and places the general theory of relativity on new affirmative grounds. Consequently, a modified Newton law of gravitation of Lorentz-type is proposed, which explains this precession.
Similar content being viewed by others
References
Arbab, A.I.: A quantum universe and the solution to the cosmological problems. Gen. Relativ. Gravit. 36, 2465 (2004)
Arbab, A.I.: On the analogy between the electrodynamics and hydrodynamics using quaternions. In: The 14th International Conference on Modelling Fluid Flow (CMFF’09), Budapest, Hungary, 9–12 September 2009
Arbab, A.I.: The generalized Newton’s law of gravitation. Astrophys. Space Sci. 325, 37 (2010a)
Arbab, A.I.: The phenomenological model for the precession of planets and bending of light. Astrophys. Space Sci. 325, 41 (2010b)
Arbab, A.I., Satti, Z.: Progress Phys. 2, 8 (2009)
Barker, B.M., O’Connell, R.F.: Phys. Rev. D 12, 329 (1975)
Behera, H., Naik, P.C.: Int. J. Mod. Phys. A 19, 4207 (2004)
Bisnovatyi-Kogan, G.S.: Recycled binary pulsarsóa most precise laboratory of fundamental physics. J. Astron. Astrophys. Trans. 25(5), 369 (2006)
Bjorken, J.D., Drell, S.D.: Relativistic Quantum Mechanics. McGraw-Hill, New York (1964)
Campion, D.C., et al.: PSR J1829 + 2456: a relativistic binary pulsar. Mon. Not. R. Astron. Soc. 350, L61 (2004)
Ciufolini, I., Pavlis, E.C.: A confirmation of the general relativistic prediction of the Lens–Thirring effect. Nature 431(7011), 958 (2004)
Csaki, C., Graesser, M., Randall, L., Terning, J.: Cosmology of brane models with radion stabilization. Phys. Rev. D 62, 045015 (2000)
Damour, T., Taylor, J.H.: Strong-field tests of relativistic gravity and binary pulsars. Phys. Rev. D 45, 1840 (1992)
de Laplace, P.S.: Traité de Mécanique Céleste, Tome IV, Livre X, Chap. 7. Courcier, Paris (1805)
Green, M., Schwarz, J., Witten, E.: Superstring Theory. Cambridge University Press, Cambridge (1987)
Griffiths, D.J.: Introduction to Quantum Mechanics. Prentice Hall, New York (1995)
Hulse, R.A., Taylor, J.H.: Astrophys. J. 191, L59 (1974)
Kaluza, T.: Preuss. Akad. Wiss. Berlin (Math. Phys.) 966 (1921)
Klein, O.: Quantentheorie und funfdimensionale Relativitatstheorie. Z. Phys. Hadrons Nucl. 37(12), 895 (1926)
Lense, J., Thirring, H.: Phys. Z. 19, 156 (1918)
Le Verrier, U.: Ann. Chim. Phys. 60, 174 (1835)
Mashhoon, P., Will, C.: Phys. Rev. D 39, 2825 (1989)
Mashhoon, B., Iorio, L., Lichtenegger, H.: On the gravitomagnetic clock effect. Phys. Lett. A 292, 49 (2001)
Newcomb, S.: Astron. Pap. Am. Ephemer. 1, 472 (1882)
Nice, D.J.: Neutron star masses derived from relativistic measurements of radio pulsars. Adv. Space Res. 38, 2721 (2006)
Nordström, G.: Physikalische Z. 15, 504 (1914) OCLC 1762351
Oppenheim, S.: Ann. Phys. 52, 415 (1917a)
Oppenheim, S.: Ann. Phys. 53(31), 163 (1917b)
Oppenheim, S.: Ann. Phys. 54, 38 (1917c)
Paterson, J.A.: J. R. Astron. Soc. Can. 7, 389 (1913)
Peng, H.: Gen. Relativ. Gravit. 15, 725 (1983)
Peng, H.: Gen. Relativ. Gravit. 22, 609 (1990)
Salam, A.: Elementary Particle Theory, Svartholm, N. (ed.) Almquist and Wiksells, Stockholm (1968)
Taylor, J.H., Weinberg, J.M.: Astrophys. J. 345, 434 (1989)
Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Arbab, A.I. Gravitomagnetism: a novel explanation of the precession of planets and binary pulsars. Astrophys Space Sci 330, 61–68 (2010). https://doi.org/10.1007/s10509-010-0353-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-010-0353-7