Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ap%26ss.333..419b&link_type=abstract
Astrophysics and Space Science, Volume 333, Issue 2, pp.419-426
Astronomy and Astrophysics
Astrophysics
1
Scientific paper
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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