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A fully relativistic modified gravitational theory including a fifth force skew symmetric field is fitted to the Pioneer 10/11 anomalous acceleration. The theory allows for a variation with distance scales of the gravitational constant G,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. R. Brownstein , J. W. Moffat

A relativistic theory is proposed to explain the anomalous accelerations of Pioneer 10/11, Galileo and Ulysses spacecrafts. The theory points out at the limitations of the weak field approximation and proposes a drift in the proper time of…

General Physics · Physics 2008-09-19 Vikram H. Zaveri

We suggest an explanation of the "Pioneer effect" based on the interaction of the spacecraft with a long-range scalar field, $\phi$. The scalar field under consideration is external to gravity, coupled to the ordinary matter and undergoes…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. P. Mbelek , M. Lachièze-Rey

If the Pioneer anomaly has a gravitational origin, it would, according to the equivalence principle, distort the motions of the planets in the Solar System. Since no anomalous motion of the planets has been detected, it is generally…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kjell Tangen

Hubble's law, which states a linear increase in velocities with distances, can physically be understood in terms of an acceleration cH. This work proposes a connection between this "universal" acceleration seen in the solar system and the…

General Physics · Physics 2021-11-09 Y. G. Yi

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

A methodology based on point-like sources is discussed, enabling a reliable estimate of the acceleration of the Pioneer 10 and 11 probes caused by thermal effects. A sensitivity analysis of the several parameters of the model allows for a…

Space Physics · Physics 2010-04-08 O. Bertolami , F. Francisco , P. J. S. Gil , J. Páramos

If the Pioneer Anomaly (PA) was a genuine dynamical effect of gravitational origin, it should also affect the orbital motions of the solar system's bodies moving in the space regions in which the PA manifested itself in its presently known…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Lorenzo Iorio

In this work we study the gravitational influence of the material extending from Uranus orbit to the Kuiper belt and beyond on objects moving within these regions. We conclude that a density distribution given by $\rho(r)=\frac{1}{r}$ (for…

Astrophysics · Physics 2009-11-10 Jose A. de Diego , Dario Nunez , Jesus Zavala

In 1972 and 1973 the Pioneer 10 and 11 missions were launched. They were the first to explore the outer solar system and achieved stunning breakthroughs in deep-space exploration. But beginning in about 1980 an unmodeled force of \sim 8…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael Martin Nieto , John D. Anderson

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

The effect of the expanding universe on planetary motion is considered to first order in the Hubble constant H. Orbital elements are shown to be unaffected, but there is a small change in the connection between planetary proper time and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Lewis Licht

In spite of two hundred years of considerable efforts directed towards improvement in the experimental techniques, gravitational measurements have provided unsettled results for Newton's gravitational constant G. Analysis of the published…

General Physics · Physics 2007-05-23 V. Raicu

Many long-range modifications of the Newtonian/Einsteinian standard laws of gravity have been proposed in the recent past to explain various celestial phenomena occurring at different scales ranging from solar system to the entire universe.…

General Relativity and Quantum Cosmology · Physics 2009-08-03 Lorenzo Iorio

The often quoted equ. (15) in (Anderson_ea:2002) defines the observed Pioneer anomaly $a_P$ such that literal reading suggests $\nu_{obs} < \nu_{mod$ ($\nu _{obs}$ the observed (Doppler) frequency, $\nu_{mod}$ the one expected from a…

Astrophysics · Physics 2007-08-14 Erhard Scholz

We argue that the so-called "Pioneer Anomaly" is related to the quantum vacuum fluctuations. Our approach is based on the hypothesis of the gravitational repulsion between matter and antimatter, what allows considering, the virtual…

General Physics · Physics 2011-02-09 Dragan Slavkov Hajdukovic

The Doppler-tracking data of the Pioneer 10 and 11 spacecraft show an unmodelled constant acceleration in the direction of the inner Solar System. Serious efforts have been undertaken to find a conventional explanation for this effect, all…

Astrophysics · Physics 2007-05-23 Dario Izzo , Andreas Rathke

Recently, Anderson et al. presented possible evidence for an anomalous acceleration acting on spacecrafts. Furthermore, the motions of several planets and comets are known to experience unexplained disturbances. A transneptunian comet or…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. W. Kuhne

This treatise outlines how a non-systematic based Pioneer anomaly, with its implied violation (re: 'low' mass bodies only) of both general relativity's weak equivalence principle and the Newtonian inverse-square law, can be successfully…

General Physics · Physics 2012-11-12 Paul G. ten Boom

The Pioneer 10 and 11 spacecraft had exceptional deep-space navigational capabilities. The accuracies of their orbit reconstruction were limited, however, by a small, anomalous, Doppler frequency drift that can be interpreted as an…

Astrophysics · Physics 2010-04-05 Michael Martin Nieto , Slava G. Turyshev , John D. Anderson