Secular increase of the astronomical unit and perihelion precessions as tests of the Dvali–Gabadadze–Porrati multi-dimensional braneworld scenario
Lorenzo Iorio JCAP09(2005)006 doi: 10.1088/1475-7516/2005/09/006
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Lorenzo Iorio
Viale Unità di Italia 68, 70125, Bari, Italy
E-mail: lorenzo.iorio@libero.it
Abstract. An unexpected secular increase of the astronomical unit, the length scale of the Solar System, has recently been reported by three different research groups (Krasinsky and Brumberg, Pitjeva, Standish). The latest JPL measurements amount to 7 ± 2 m cy−1. At present, there are no explanations able to accommodate such an observed phenomenon, either in the realm of classical physics or in the usual four-dimensional framework of the Einsteinian general relativity. The Dvali–Gabadadze–Porrati braneworld scenario, which is a multi-dimensional model of gravity aimed at providing an explanation of the observed cosmic acceleration without dark energy, predicts, among other things, a perihelion secular shift, due to Lue and Starkman, of 5 × 10−4 arcsec cy−1 for all the planets of the Solar System. It yields a variation of about 6 m cy−1 for the Earth–Sun distance which is compatible with the observed rate of change for the astronomical unit. The recently measured corrections to the secular motions of the perihelia of the inner planets of the Solar System are in agreement with the predicted value of the Lue–Starkman effect for Mercury, Mars and, at a slightly worse level, the Earth.
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Another discovery he made is the following.
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Within the Newtonian framework, we considered the action of a circular massive ring modeling the Edgeworth-Kuiper belt of Trans-Neptunian Objects, but it does not induce secular variations of e. In principle, a viable candidate would be a putative trans-Plutonian massive object (PlanetX/Nemesis/Tyche), recently revamped to accommodate certain features of the architecture of the Kuiper belt and of the distribution of the comets in the Oort cloud, since it would cause a non-vanishing long-term variation of the eccentricity.Actually, the values for its mass and distance needed to explain the empirically determined increase of the lunar eccentricity would be highly unrealistic and in contrast with the most recent viable theoretical scenarios for the existence of such a body. For example, a terrestrial-sized body should be located at just 30 au, while an object with the mass of Jupiter should be at 200 au.
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Lets read that again...
For example, a terrestrial-sized body should be located at just 30 au, while an object with the mass of Jupiter should be at 200 au.
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arxiv.org...
There are other results, and some put the object farther away, meanwhile others like this one puts it a lot closer.
edit on 7-3-2012 by ElectricUniverse because: (no reason given)



