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Current issue   Ukr. J. Phys. 2016, Vol. 61, N 4, p.342-344
doi:10.15407/ujpe61.04.0342    Paper

Ovcherenko S.S.1, Silagadze Z.K.2

1 Novosibirsk State University
(630090, Novosibirsk, Russia)
2 G.I. Budker Institute of Nuclear Physics and Novosibirsk State University
(630090, Novosibirsk, Russia; e-mail: silagadze@inp.nsk.su)

Comment on Perihelion Advance Due to Cosmological Constant

Section: Astrophysics and Cosmology
Original Author's Text: English

Abstract: We comment on the recent paper “Note on the perihelion/periastron advance due to cosmological constant” by H. Arakida (Int. J. Theor. Phys. 52, 1408 (2013)) and provide simple derivations of both the main result of this paper and of the Adkins–McDonnell’s precession formula, on which this main result is based.

Key words: celestial mechanics, gravitation, cosmological constant, dark energy.

References:
1. H. Arakida, Int. J. Theor. Phys. 52, 1408 (2013) [arXiv: 1212.6289 [gr-qc]].   CrossRef
2. G.S. Adkins and J. McDonnell, Phys. Rev. D 75, 082001 (2007) [gr-qc/0702015].   CrossRef
3. L.D. Landau and E.M. Lifshitz, Mechanics (ButterworthHeinemann, Oxford, 2004).
4. G.L. Kotkin and V.G. Serbo, Collection of Problems in Classical Mechanics (Pergamon Press, Oxford, 1971). 5. O.I. Chashchina and Z.K. Silagadze, Phys. Rev. D 77, 107502 (2008) [arXiv:0802.2431 [gr-qc]].   CrossRef