Comment on “The Mössbauer rotor experiment and the general theory of relativity” [Ann. Physics 368 (2016) 258–266]

Podosenov, S. A.; Foukzon, Jaykov; Men’kova, Elena

doi:10.1016/j.aop.2019.168047

Cited by 11 publications

(37 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This interpretation by Einstein of the rotating system in terms of a gravitational field permitted various general relativistic analysis of Mï¿oessbauer rotor experiments [17][18][19] and Sagnac experiments [20]. The key point of the above highlighted interpretation by Einstein is the Einstein's Equivalence Principle (EEP) which enables the equivalence between gravitation and inertial forces [17][18][19][20]. Following [17][18][19][20], in a full general relativistic analysis one considers a transformation from an inertial coordinate system, with the z − axis perpendicular to the plane of the rotational motion, to a second coordinate system, which rotates around the z − axis in cylindrical coordinates.…”

Section: Breakdown Of Newtonian Formulamentioning

confidence: 94%

Section: Breakdown Of Newtonian Formulamentioning

confidence: 97%

“…(56) is the same as that of Eqs. (19) and (41), but the analysis in this Section is more precise because it has been performed in the framework of the two-body problem and considering the exact elliptical orbit of Mercury.…”

Section: Weak Deviation From Third Kepler's Lawmentioning

confidence: 99%

“…One performs a transformation to a reference frame {t , r , φ z } , which has constant angular velocity ω around the z − axis, obtaining [17][18][19][20] t = t r = r φ = φ + ωt z = z .…”

Section: Breakdown Of Newtonian Formulamentioning

confidence: 99%

“…Thus, one gets the well known Langevin line-element for the rotating reference frame [17][18][19][20] ds…”

Section: Breakdown Of Newtonian Formulamentioning

confidence: 99%

See 4 more Smart Citations

The Advance of Planets' Perihelion in Newtonian Theory Plus Gravitational and Rotational Time Dilation

Corda¹

2020

Preprint

View full text Add to dashboard Cite

It is shown through three different approaches that, contrary to a longstanding conviction older than 160 years, the orbit of Mercury behaves as required by Newton's equations with a very high precision if one correctly analyzes the situation in the framework of the two-body problem without neglecting the mass of Mercury. General relativity remains more precise than Newtonian physics, but the results in this paper show that Newtonian framework is more powerful than researchers and astronomers were thinking till now, at least for the case of Mercury. The Newtonian formula of the advance of planets' perihelion breaks down for the other planets. The predicted Newtonian result is indeed too strong for Venus and Earth. Therefore, it is also shown that corrections due to gravitational and rotational time dilation, in an intermediate framework which analyzes gravity between Newton and Einstein, solve the problem. By adding such corrections, a result consistent with the one of general relativity is indeed obtained. Thus, the most important results of this paper are two: i) It is not correct that Newtonian theory cannot predict the anomalous rate of precession of the perihelion of planets' orbit. The real problem is instead that a pure Newtonian prediction is too strong. ii) Perihelion's precession can be achieved with the same precision of general relativity by extending Newtonian gravity through the inclusion of gravitational and rotational time dilation effects. This second result is in agreement with a couple of recent and interesting papers of Hansen, Hartong and Obers. Differently from such papers, in the present work the importance of rotational time dilation is also highlighted.

show abstract