Newtonian Gravitation

We analytically work out the long-term orbital perturbations induced by the leading order of perturbing potential arising from the local modification of the Newton's inverse square law due to a topology ℝ2 × 𝕊1 with a compactified dimension of radius R recently proposed by Floratos and Leontaris. We neither restrict to any specific spatial direction [Formula: see text] for the asymmetry axis nor to particular orbital configurations of the test particle. Thus, our results are quite general. Nonvanishing long-term variations occur for all the usual osculating Keplerian orbital elements, apart from the semimajor axis which is left unaffected. By using recent improvements in the determination of the orbital motion of Saturn from Cassini data, we preliminarily inferred R ≳ 4-6 kau . As a complementary approach, the putative topological effects should be explicitly modeled and solved-for with a modified version of the ephemerides dynamical models with which the same data sets should be reprocessed.

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FORCES BETWEEN ELECTRIC CHARGES IN MOTION: RUTHERFORD SCATTERING, CIRCULAR KEPLERIAN ORBITS, ACTION-AT-A-DISTANCE AND NEWTON'S THIRD LAW IN RELATIVISTIC CLASSICAL ELECTRODYNAMICS

International Journal of Modern Physics A ◽

10.1142/s0217751x08038184 ◽

2008 ◽

Vol 23 (02) ◽

pp. 327-351 ◽

Cited By ~ 1

Author(s):

J. H. FIELD

Keyword(s):

Special Relativity ◽

Small Angle ◽

Classical Electrodynamics ◽

Classical Electromagnetism ◽

Newtonian Gravitation ◽

Keplerian Orbits ◽

Rutherford Scattering ◽

Action At A Distance ◽

Electrodynamic Theory ◽

Third Law

Standard formulae of classical electromagnetism for the forces between electric charges in motion derived from retarded potentials are compared with those obtained from a recently developed relativistic classical electrodynamic theory with an instantaneous intercharge force. Problems discussed include small angle Rutherford scattering, Jackson's recent "torque paradox" and circular Keplerian orbits. Results consistent with special relativity are obtained only with an instantaneous interaction. The impossibility of stable circular motion with retarded fields in either classical electromagnetism or Newtonian gravitation is demonstrated.

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Vacuum polarization and non-Newtonian gravitation

Il Nuovo Cimento B ◽

10.1007/bf02739157 ◽

1980 ◽

Vol 55 (2) ◽

pp. 252-256 ◽

Cited By ~ 22

Author(s):

D. R. Long

Keyword(s):

Vacuum Polarization ◽

Newtonian Gravitation

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Dark matter, dark energy and gravity

International Journal of Modern Physics E ◽

10.1142/s0218301315500123 ◽

2015 ◽

Vol 24 (02) ◽

pp. 1550012 ◽

Cited By ~ 2

Author(s):

B. A. Robson

Keyword(s):

Dark Matter ◽

Dark Energy ◽

Particle Physics ◽

Composite Structures ◽

Gravitational Interaction ◽

Asymptotic Freedom ◽

Generation Model ◽

Newtonian Gravitation ◽

Color Confinement ◽

Vector Bosons

Within the framework of the Generation Model (GM) of particle physics, gravity is identified with the very weak, universal and attractive residual color interactions acting between the colorless particles of ordinary matter (electrons, neutrons and protons), which are composite structures. This gravitational interaction is mediated by massless vector bosons (hypergluons), which self-interact so that the interaction has two additional features not present in Newtonian gravitation: (i) asymptotic freedom and (ii) color confinement. These two additional properties of the gravitational interaction negate the need for the notions of both dark matter and dark energy.

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