Abstract
Possible orbits for the motion of Proxima Centauri about α-Centauri A/B are derived according to standard Newtonian conditions and under the Modified Newtonian Dynamics (MOND) paradigm. Likely orbits are derived under the assumption that Proxima is coeval with α-Centauri A/B, located at, or very close to apastron, and that its radial velocity will ultimately be determined as being of order −22.15 km/s—bringing it closer to the observed radial velocity value for α-Centauri A/B. It is found under standard Newtonian conditions that Proxima might occupy an orbit described according to a semi-major axis and eccentricity of (a,e)=(8,500,0.78)—resulting in an orbital period of some 53,500 years. If Proxima’s motion is constrained to move entirely under weak-field MOND conditions then a provisional orbit having (a,e)=(12,527,0.2) is obtained. In principle, we argue, by obtaining an ultra-precise value for the radial velocity of Proxima a distinction between the standard Newtonian gravity and the MOND orbital approximations can be made.
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Anosova, J., Orlov, V.V., Pavlova, N.A.: Astron. Astrophys. 292, 115 (1994)
Beech, M.: Mon. Not. R. Astron. Soc. 399, L21 (2009)
Beech, M.: The Observatory (2011, in press)
Begeman, K.G., Broeils, A.H., Sanders, R.H.: Mon. Not. R. Astron. Soc. 249, 523 (1991)
Bekenstein, J.D., Magueijo, J.: Phys. Rev. D 73, 103513 (2006)
Bekenstein, J.D., Milgrom, M.: Astrophys. J. 286, 7 (1984)
Blanchet, L., Novak, J.: Mon. Not. R. Astron. Soc. (2011). doi:10.1111/j.1365-2966.2010.18076.x
Chandrasekhar, S.: Astrophys. J. 99, 54 (1944)
De Lorenci, V.A., Faundez-Abans, M., Pereira, J.P. (2010). arXiv:1002.2766v1
Famaey, B., Bruneton, J.-P., Zhao, H.S.: Mon. Not. R. Astron. Soc. 377, L79 (2007)
Finsen, W.S.: Union Obs. Circ. 68, 343 (1926)
Gasteyer, C.: Astron. J. 71, 1017 (1966)
Iorio, L.: J. Gravit. Physiol. 2, 26 (2008)
Iorio, L.: Astrophys. Space Sci. 323, 215 (2009)
Iorio, L.: Open Astron. J. 3, 156 (2010a)
Iorio, L.: Open Astron. J. 3, 1 (2010b)
Iorio, L. (2011). arXiv:1101.2634
Kamper, K.W., Wesselink, A.J.: Astron. J. 83, 1653 (1978)
Kouwenhoven, M.B.N., Goodwin, S.P., Parker, R.J., Davies, M.B., Malmberg, D., Kroupa, P.: In: de Grijs, R., Lepine, J.R. (eds.) Star Clusters: Basic Galactic Building Blocks. Proc. IAU Symp., vol. 266 (2010)
Makarov, V.V., Zacharias, N., Hennesy, G.S.: Astrophys. J. 687, 566 (2008)
Matthews, R., Gilmore, G.: Mon. Not. R. Astron. Soc. 261, L5 (1993)
Milgrom, M.: Astrophys. J. 270, 365 (1983a)
Milgrom, M.: Astrophys. J. 270, 371 (1983b)
Milgrom, M.: Astrophys. J. 270, 384 (1983c)
Milgrom, M.: Astrophys. J. 302, 617 (1986)
Milgrom, M. (2009a). arXiv:0908.3842v1
Milgrom, M.: Mon. Not. R. Astron. Soc. 399, 474 (2009b)
Poubaix, D., et al.: Astron. Astrophys. 386, 280 (2003)
Sanders, R.H.: Mon. Not. R. Astron. Soc. 370, 1519 (2006)
Segransan, D., Kervella, P., Forveille, T., Queloz, D.: Astron. Astrophys. 397, L5 (2003)
Serenon, M., Jetzer, Ph.: Mon. Not. R. Astron. Soc. 371, 626 (2006)
Siregar, S., Kuncarayakti, H.: J. Mat. Sains 12, 85 (2007)
Talmadge, C., Berthias, J.-P., Hellings, R.W., Standish, E.M.: Phys. Rev. Lett. 61, 1159 (1988)
Turyshev, S.G., Toth, V.T. (2010). arXiv:1001.3686v2
Van den Bos, W.H.: Union Obs. Circ. 70, 389 (1926)
Voûte, J.: Mon. Not. R. Astron. Soc. 77, 650 (1917)
Walke, D.G.: Astrophys. J. 234, L205 (1979)
Wertheimer, J.G., Laughlin, G.: Astron. J. 132, 1995 (2006)
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Beech, M. The orbit of Proxima Centauri: a MOND versus standard Newtonian distinction. Astrophys Space Sci 333, 419–426 (2011). https://doi.org/10.1007/s10509-011-0665-2
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DOI: https://doi.org/10.1007/s10509-011-0665-2