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  • Articles  (5)
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  • 1
    Publication Date: 2014-09-30
    Description: We analytically calculate some orbital effects induced by the Lorentz-invariance/ momentum-conservation   parameterized   post-Newtonian (PPN)  parameter α3 in   a gravitationally bound binary system made of a primary orbited by a test particle.  We neither restrict ourselves to any particular orbital configuration nor to specific orientations of the primary’s spin axis ψˆ.  We use our results to put preliminary  upper bounds on α3 in the weak-field regime by using the latest data from Solar System’s planetary dynamics. By linearly combining the supplementary perihelion  precessions ∆w˙ of the Earth, Mars and Saturn, determined by astronomers with the Ephemerides of Planets and the Moon (EPM) 2011 ephemerides for the general relativistic  values of the PPN parameters β = γ = 1, we infer |α3| ;5 6 × 10−10.   Our result is about three orders of magnitude better than the previous weak-field  constraints existing  in the literature and of the same  order of magnitude of the constraint expected from the future BepiColombo mission to Mercury. It is, by construction, independent of the other preferred-frame PPN parameters α1, α2, both preliminarily constrained down to a ≈ 10−6 level. Future analyses should be performed by explicitly including α3 and a selection  of other PPN parameters in the models fitted by the astronomers to the observations and estimating them in dedicated covariance analyses.
    Electronic ISSN: 2075-4434
    Topics: Physics
    Published by MDPI
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  • 2
    Publication Date: 2013-01-22
    Print ISSN: 1687-7969
    Electronic ISSN: 1687-7977
    Topics: Physics
    Published by Hindawi
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  • 3
    Publication Date: 2012-06-21
    Print ISSN: 1687-7969
    Electronic ISSN: 1687-7977
    Topics: Physics
    Published by Hindawi
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  • 4
    Publication Date: 2012-06-21
    Description: We investigate the effect of possible a priori “imprinting” effects of general relativity itself on satellite/spacecraft-based tests of it. We deal with some performed or proposed time-delay ranging experiments in the sun's gravitational field. It turns out that the “imprint” of general relativity on the Astronomical Unit and the solar gravitational constant GM⊙, not solved for in the so far performed spacecraft-based time-delay tests, induces an a priori bias of the order of 10-6 in typical solar system ranging experiments aimed to measure the space curvature PPN parameter γ. It is too small by one order of magnitude to be of concern for the performed Cassini experiment, but it would affect future planned or proposed tests aiming to reach a 10-7–10-9 accuracy in determining γ.
    Print ISSN: 1687-7969
    Electronic ISSN: 1687-7977
    Topics: Physics
    Published by Hindawi
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  • 5
    Publication Date: 2012-06-21
    Description: We use the corrections to the Newton-Einstein secular precessions of the longitudes of perihelia ϖ˙ of some planets (Mercury, Earth, Mars, Jupiter, Saturn) of the Solar System, phenomenologically estimated as solve-for parameters by the Russian astronomer E. V. Pitjeva in a global fit of almost one century of data with the EPM2004 ephemerides, in order to put on the test the expression for the perihelion precession induced by a uniform cosmological constant Λ in the framework of the Schwarzschild-de Sitter (or Kottler) space-time. We compare such an extra rate to the estimated corrections to the planetary perihelion precessions by taking their ratio for different pairs of planets instead of using one perihelion at a time for each planet separately, as done so far in literature. The answer is negative, even by further rescaling by a factor 10 (and even 100 for Saturn) the errors in the estimated extra precessions of the perihelia released by Pitjeva. Our conclusions hold also for any other metric perturbation having the same dependence on the spatial coordinates, as those induced by other general relativistic cosmological scenarios and by many modified models of gravity. Currently ongoing and planned interplanetary spacecraft-based missions should improve our knowledge of the planets' orbits allowing for more stringent constraints.
    Print ISSN: 1687-7969
    Electronic ISSN: 1687-7977
    Topics: Physics
    Published by Hindawi
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