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- Title
Solar system anomalies: Revisiting Hubble's law.
- Authors
Plamondon, Réjean
- Abstract
This paper investigates the impact of a new metric recently published [R. Plamondon and C. Ouellet-Plamondon, in On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, edited by K. Rosquist, R. T. Jantzen, and R. Ruffini (World Scientific, Singapore, 2015), p. 1301] for studying the space-time geometry of a static symmetric massive object. This metric depends on a complementary error function (erfc) potential that characterizes the emergent gravitation field predicted by the model. This results in two types of deviations as compared to computations made on the basis of a Newtonian potential: a constant and a radial outcome. One key feature of the metric is that it postulates the existence of an intrinsic physical constant σ, the massive object-specific proper length that scales measurements in its surroundings. Although σ must be evaluated experimentally, we use a heuristic to estimate its value and point out some latent relationships between the Hubble constant, the secular increase in the astronomical unit, and the Pioneers delay. Indeed, highlighting the systematic errors that emerge when the effect of σ is neglected, one can link the Hubble constant H0 to σSun and the secular increase VAU to σEarth. The accuracy of the resulting numerical predictions, H0 = 74.42 (0.02) (km/s)/Mpc and VAU = 7.8 cm yr-1, calls for more investigations of this new metric by specific experts. Moreover, we investigate the expected impacts of the new metric on the flyby anomalies, and we revisit the Pioneers delay. It is shown that both phenomena could be partly taken into account within the context of this unifying paradigm, with quite accurate numerical predictions. A correction for the osculating asymptotic velocity at the perigee of the order of 10 mm/s and an inward radial acceleration of 8.34 × 10-10 m/s2 affecting the Pioneer space crafts could be explained by this new model.
- Subjects
ERROR functions; GRAVITATIONAL fields; HUBBLE'S law; HUBBLE constant; SPACETIME; ASTROPHYSICS
- Publication
Physics Essays, 2017, Vol 30, Issue 4, p404
- ISSN
0836-1398
- Publication type
Article
- DOI
10.4006/0836-1398-30.4.404