scholarly journals Azimuthally symmetric theory of gravitation – II. On the perihelion precession of solar planetary orbits

2015 ◽  
Vol 451 (3) ◽  
pp. 3034-3043 ◽  
Author(s):  
G. G. Nyambuya
Keyword(s):  
Perihelion Precession ◽  
Planetary Orbits ◽  
Theory Of Gravitation ◽  
Symmetric Theory

scholarly journals Gravitational major-axis contraction of Mercury’s elliptical orbit

2019 ◽  
Vol 34 (20) ◽  
pp. 1950159
Author(s):  
Q. H. Liu ◽  
Q. Li ◽  
T. G. Liu ◽  
X. Wang
Keyword(s):  
Major Axis ◽  
Distance Measurement ◽  
Elliptical Orbit ◽  
Measurement Technology ◽  
The Sun ◽  
Local Curvature ◽  
Newtonian Theory ◽  
Perihelion Precession ◽  
Theory Of Gravitation

The local curvature of the space produced by the Sun causes not only the perihelion precession of Mercury’s elliptical orbit, but also the variations of the whole orbit, in comparison with those predicted by the Newtonian theory of gravitation. Calculations show that the gravitational major-axis contraction of Mercury’s elliptical orbit is 1.3 km which can in principle be confirmed by the present astronomical distance measurement technology.

The effects of rotation of the central body on its planetary orbits, after the Whitehead theory of gravitation

1955 ◽  
Vol 232 (1188) ◽  
pp. 135-148 ◽  
Keyword(s):  
Angular Velocity ◽  
Central Body ◽  
Order Of Approximation ◽  
Exterior Field ◽  
Homogeneous Sphere ◽  
Rotating Sphere ◽  
Planetary Orbits ◽  
Theory Of Gravitation ◽  
Effects Of Rotation ◽  
Central Sphere

The Whitehead gravitation tensor for the exterior field due to a finite, uniform rotating sphere is evaluated in closed form. The advance of perihelion of an equatorial orbit is then calculated, making no assumption as to the smallness of the angular velocity of the central sphere. Finally, the perturbing forces on the Newtonian elliptical orbit due to rotation of the central sphere are determined with neglect of the square of this angular velocity. It is remarkable that the results of the present paper based on Whitehead’s theory agree very closely with those obtained by Lense & Thirring (1918) using Einstein’s linearized law of gravitation. In fact, for a homogeneous sphere, it is impossible to distinguish between the results in the two theories, to the order of approximation considered.

Simulation model for anomalous precession of the perihelion of mercury's orbit

Open Physics ◽  
2005 ◽  
Vol 3 (1) ◽  
Author(s):  
Abhijit Biswas ◽  
Krishnan Mani
Keyword(s):  
General Relativity ◽  
Simulation Model ◽  
Complete Agreement ◽  
Alternative Theory ◽  
Critical Test ◽  
Perihelion Precession ◽  
General Relativistic ◽  
Controversial Topic ◽  
Theory Of Gravitation ◽  
Relativistic Equations

AbstractThe ‘anomalous perihelion precession’ of Mercury, announced by Le Verrier in 1859, was a highly controversial topic for more than half a century and invoked many alternative theories until 1916, when Einstein presented his theory of general relativity as an alternative theory of gravitation and showed perihelion precession to be one of its potential manifestations. As perihelion precession was a directly derived result of the full General Theory and not just the Equivalence Principle, Einstein viewed it as the most critical test of his theory. This paper presents the computed value of the anomalous perihelion precession of Mercury's orbit using a new relativistic simulation model that employs a simple transformation factor for mass and time, proposed in an earlier paper. This computed value compares well with the prediction of general relativity and is, also, in complete agreement with the observed value within its range of uncertainty. No general relativistic equations have been used for computing the results presented in this paper.

Global monopole in a broken-symmetric theory of gravitation

2017 ◽  
Vol 32 (13) ◽  
pp. 1750061
Author(s):  
Buddhi Vallabh Tripathi ◽  
Hemwati Nandan ◽  
K. D. Purohit
Keyword(s):  
Symmetry Breaking ◽  
Scalar Tensor Theory ◽  
Global Monopole ◽  
Tensor Theory ◽  
Theory Of Gravitation ◽  
Theory Of Gravity ◽  
Global Monopoles ◽  
Symmetric Theory ◽  
Breaking Scale ◽  
Einstein’S General Relativity

We investigate global monopole solutions in a particular kind of scalar–tensor theory of gravity, viz. the broken-symmetric theory of gravity. Invoking the “hedgehog” ansatz for the scalar field, we derive the metric corresponding to global monopole solutions. The global monopole solutions found are independent of the scale of symmetry breaking unlike the Barriola–Vilenkin global monopoles in Einstein’s General Relativity (GR) which intrinsically depend on the symmetry breaking scale.

scholarly journals Constraints on long range force from perihelion precession of planets in a gauged $$L_e-L_{\mu ,\tau }$$ scenario

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Tanmay Kumar Poddar ◽  
Subhendra Mohanty ◽  
Soumya Jana
Keyword(s):  
Long Range ◽  
Gauge Boson ◽  
Yukawa Potential ◽  
Major Axis ◽  
Mass Range ◽  
The Sun ◽  
Semi Major Axis ◽  
Perihelion Precession ◽  
Gauge Symmetries ◽  
Planetary Orbits

AbstractThe standard model leptons can be gauged in an anomaly free way by three possible gauge symmetries namely $${L_e-L_\mu }$$ L e - L μ , $${L_e-L_\tau }$$ L e - L τ , and $${L_\mu -L_\tau }$$ L μ - L τ . Of these, $${L_e-L_\mu }$$ L e - L μ and $${L_e-L_\tau }$$ L e - L τ forces can mediate between the Sun and the planets and change the perihelion precession of planetary orbits. It is well known that a deviation from the $$1/r^2$$ 1 / r 2 Newtonian force can give rise to a perihelion advancement in the planetary orbit, for instance, as in the well known case of Einstein’s gravity (GR) which was tested from the observation of the perihelion advancement of the Mercury. We consider the long range Yukawa potential which arises between the Sun and the planets if the mass of the gauge boson is $$M_{Z^{\prime }}\le \mathcal {O}(10^{-19})\mathrm {eV}$$ M Z ′ ≤ O ( 10 - 19 ) eV . We derive the formula of perihelion advancement for Yukawa type fifth force due to the mediation of such $$U(1)_{L_e-L_{\mu ,\tau }}$$ U ( 1 ) L e - L μ , τ gauge bosons. The perihelion advancement for Yukawa potential is proportional to the square of the semi major axis of the orbit for small $$M_{Z^{\prime }}$$ M Z ′ , unlike GR where it is largest for the nearest planet. For higher values of $$M_{Z^{\prime }}$$ M Z ′ , an exponential suppression of the perihelion advancement occurs. We take the observational limits for all planets for which the perihelion advancement is measured and we obtain the upper bound on the gauge boson coupling g for all the planets. The Mars gives the stronger bound on g for the mass range $$\le 10^{-19}\mathrm {eV}$$ ≤ 10 - 19 eV and we obtain the exclusion plot. This mass range of gauge boson can be a possible candidate of fuzzy dark matter whose effect can therefore be observed in the precession measurement of the planetary orbits.

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