Michal Křížek, Vesselin G. Gueorguiev, André Maeder
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An Alternative Explanation of the Orbital Expansion of Titan and Other Bodies in the Solar System
Recently it was found from the Cassini data that the mean recession speed of Titan from Saturn is \(v=11.3\pm 2.0\) cm/yr, which corresponds to a tidal quality factor of Saturn \(Q\cong 100\) while the standard estimate yields \(Q\geq 6\times 10^{4}\). It was assumed that such a large speed \(v\) is due to a resonance locking mechanism of five inner mid-sized moons of Saturn. In this paper, we show that an essential part of \(v\) may come from a local Hubble expansion, where the Hubble–Lemaître constant \(H_{0}\), recalculated to the Saturn–Titan distance \(D\), is 8.15 cm/(yr \(D\)). Our hypothesis is based on many other observations showing a slight expansion of the Solar system and also of our Galaxy at a rate comparable with \(H_{0}\). We demonstrate that the large disproportion in estimating the \(Q\) factor can be just caused by the local expansion effect.
期刊介绍:
Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoples’ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community