We consider the Kepler two-body problem in presence of the cosmological constant Λ. Contrary to the classical case, where finite solutions exist for any angular momentum of the system L, in presence of Λ finite solutions exist only in the interval 0 < L < L_lim(Λ). The qualitative picture of the two-body motion is described, and critical parameters of the problem are found. Application is made to the relative motion of the Local Group and Virgo cluster.
Two-body problem in presence of cosmological constant / Bisnovatyi-Kogan, Gennadi S.; Merafina, Marco. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS D. - ISSN 0218-2718. - 28:12(2019), p. 1950155. [10.1142/S0218271819501554]
Two-body problem in presence of cosmological constant
Marco merafina
2019
Abstract
We consider the Kepler two-body problem in presence of the cosmological constant Λ. Contrary to the classical case, where finite solutions exist for any angular momentum of the system L, in presence of Λ finite solutions exist only in the interval 0 < L < L_lim(Λ). The qualitative picture of the two-body motion is described, and critical parameters of the problem are found. Application is made to the relative motion of the Local Group and Virgo cluster.| File | Dimensione | Formato | |
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