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Attempts to merge Einsteinian gravity with Newtonian run into inconsistencies because in Newton's gravity time is absolute and the speed of gravity is infinite. Such an assumption was in a focus of attention of scientists in 19th century…

General Physics · Physics 2015-08-19 Arkady L. Kholodenko

Newtonian gravity can be regarded as a hypothetic-deductive system where the inverse square law is the starting point from which gravitational phenomena are deduced. This operational form of presenting gravity endorses problem solving and…

History and Philosophy of Physics · Physics 2019-06-12 Joao A M Pereira

The 1972 and 1973 launched Pioneer 10 and 11 were the first missions to explore the outer solar system. They achieved stunning breakthroughs in deep-space exploration. But around 1980 an unmodeled force of \sim 8 \times 10^{-8} cm/s^2,…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Michael Martin Nieto , John D. Anderson

We present variability measurements and partial light curves of Trans-Neptunian Objects (TNOs) from a two-night pilot study using Hyper Suprime-Cam (HSC) on the Subaru Telescope (Maunakea, Hawai'i, USA). Subaru's large aperture (8-m) and…

Experimental tests of Newton law put stringent constraints on potential deviations from standard theory with ranges from the millimeter to the size of planetary orbits. Windows however remain open for short range deviations, below the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Serge Reynaud , Marc-Thierry Jaekel

The laws of gravitation have been tested for a long time with steadily improving precision, leading at some moment of time to paradigmatic evolutions. Pursuing this continual effort is of great importance for science. In this communication,…

General Relativity and Quantum Cosmology · Physics 2023-04-14 A. Hees , P. Wolf , B. Lamine , S. Reynaud , M. T. Jaekel , C. Le Poncin-Lafitte , V. Lainey , V. Dehant

Future space-based tests of relativistic gravitation-laser ranging to Phobos, accelerometers in orbit, and optical networks surrounding Earth-will constrain the theory of gravity with unprecedented precision by testing the inverse-square…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Jeremy Sakstein

The nonsymmetric gravitational theory leads to a modified acceleration law that can at intermediate distance ranges account for the anomalous acceleration experienced by the Pioneer 10 and 11 spacecraft.

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

Analysis of the radio tracking data from the Pioneer 10/11 spacecraft at distances between about 20 - 70 AU from the Sun has consistently indicated the presence of an unmodeled, small, constant, Doppler blue shift drift of order 6 \times…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael Martin Nieto , John D. Anderson

Recently a new -quantum motivated- theory of gravity has been proposed that modifies the standard Newtonian potential at large distances when spherical symmetry is considered. Accordingly, Newtonian gravity is altered by adding an extra…

Astrophysics of Galaxies · Physics 2013-03-14 Jorge Mastache , Jorge L. Cervantes-Cota , Axel de la Macorra

We consider the feasibility of testing Newtonian gravity at low accelerations using wide binary (WB) stars separated by $\ge 3$ kAU. These systems probe the accelerations at which galaxy rotation curves unexpectedly flatline, possibly due…

Astrophysics of Galaxies · Physics 2020-04-07 Indranil Banik , Hongsheng Zhao

Radio metric data from the Pioneer 10/11, Galileo, and Ulysses spacecraft indicate an apparent anomalous, constant, acceleration acting on the spacecraft with a magnitude $\sim 8.5\times 10^{-8}$ cm/s$^2$, directed towards the Sun. Two…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John D. Anderson , Philip A. Laing , Eunice L. Lau , Anthony S. Liu , Michael Martin Nieto , Slava G. Turyshev

Applying Newtonian dynamics in five dimensions rather than four, to a universe that is closed, isotropic and expanding,suggests that under certain circumstances an additional and previously unidentified acceleration, a_A, can arise…

General Relativity and Quantum Cosmology · Physics 2010-04-12 M. B. Gerrard , T. J. Sumner

Our previous analyses of radio Doppler and ranging data from distant spacecraft in the solar system indicated that an apparent anomalous acceleration is acting on Pioneer 10 and 11, with a magnitude a_P ~ 8 x 10^{-8} cm/s^2, directed…

General Relativity and Quantum Cosmology · Physics 2009-09-25 John D. Anderson , Philip A. Laing , Eunice L. Lau , Anthony S. Liu , Michael Martin Nieto , Slava G. Turyshev

Bootstrapped Newtonian gravity is a non-linear version of Newton's law which can be lifted to a fully geometric theory of gravity starting from a modified potential. Here, we study geodesics in the bootstrapped Newtonian effective metric in…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Anna D'Addio , Roberto Casadio , Andrea Giusti , Mariafelicia De Laurentis

The predictions of General relativity (GR) are in good agreement with observations in the solar system. Nevertheless, unexpected anomalies appeared during the last decades, along with the increasing precision of measurements. Those…

General Relativity and Quantum Cosmology · Physics 2014-09-16 B. Lamine , J. -M. Courty , S. Reynaud , M. -T. Jaekel

Space-based observatories at the second Sun-Earth Lagrange Point (L2) offer a unique opportunity to efficiently determine the orbits of distant solar system objects by taking advantage of the parallax effect that arises from nearly…

Earth and Planetary Astrophysics · Physics 2021-11-17 Mark R. Giovinazzi , Cullen H. Blake , Pedro H. Bernardinelli

The radio-metric tracking data received from the Pioneer 10 and 11 spacecraft from the distances between 20-70 astronomical units from the Sun has consistently indicated the presence of a small, anomalous, blue-shifted Doppler frequency…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Slava G. Turyshev , Viktor T. Toth

Trans-Neptunian objects (TNOs) are small, icy bodies in the outer solar system. They are observed to have a complex orbital distribution that was shaped by the early dynamical history and migration of the giant planets. Comparisons between…

Earth and Planetary Astrophysics · Physics 2024-05-09 Kathryn Volk , Renu Malhotra

It is introduced inertial anti-gravitational potential into the theory of gravity to stop gravitational collapse at the nuclear density and thus prevent singularities. It is considered effective gravity which includes Newtonian potential…

General Physics · Physics 2007-11-01 D. L. Khokhlov