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The weak field approximation of geodesics in Randers-Finsler space is investigated. We show that a Finsler structure of Randers space corresponds to the constant and sunward anomalous acceleration demonstrated by the Pioneer 10 and 11 data.…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Xin Li , Zhe Chang

We propose the concept of a space mission to probe the so called flyby anomaly, an unexpected velocity change experienced by some deep-space probes using earth gravity assists. The key feature of this proposal is the use of GNSS systems to…

Space Physics · Physics 2014-08-28 O. Bertolami , F. Francisco , P. J. S. Gil , J. Páramos

A few observational and/or experimental results have dramatically pushed forward the research program on gravity as those from the radio-metric Doppler tracking received from the Pioneer 10 and 11 spacecrafts when the space vehicles were at…

General Physics · Physics 2011-05-17 Herman J. Mosquera Cuesta

We illustrate the energy transfer during planetary flybys as a function of time using a number of flight mission examples. The energy transfer process is rather more complicated than a monotonic increase (or decrease) of energy with time.…

Astrophysics · Physics 2008-11-26 John D. Anderson , James K. Campbell , Michael Martin Nieto

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

The time delay effect for planets and spacecraft is obtained from a fully relativistic modified gravity theory including a fifth force skew symmetric field by fitting to the Pioneer 10/11 anomalous acceleration data. A possible detection of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. W. Moffat

A time-dependent model of space-time is used to suggest simple explanations for the increasing of the Astronomical unit, as well as the increasing of the distance from the Earth to the Moon. The Pioneer anomaly is also considered.

General Relativity and Quantum Cosmology · Physics 2010-03-13 Ll. Bel

Despite its remarkable agreement with gravity tests in the solar system, general relativity is challenged at larger scales. Large scale tests performed in the solar system by the Pioneer 10/11 probes have failed to confirm the expected…

General Relativity and Quantum Cosmology · Physics 2008-06-17 Marc-Thierry Jaekel , Serge Reynaud

Astronomers occasionally detect an object having unexpected shape, unexplainable photometry, or unprecedented spectra that are inconsistent with our contemporary knowledge of the universe. Upon careful assessment, many of these anomalies…

Popular Physics · Physics 2023-10-24 Beatriz Villarroel , Geoffrey W. Marcy

A previous paper [1] introduced a quantum-mechanical theory of gravity, and showed it agrees with the standard experimental tests of general relativity. Doppler tracking signals returned by the Pioneer 10 and 11 space probes offer an…

Astrophysics · Physics 2007-05-23 Kris Krogh

Based upon a simple cosmological model with no expansion, we find that the rotational terms appearing in the G/"odel universe are too small to explain the Pioneer anomaly. Although it contributes, universal rotation is not the cause of the…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Thomas L. Wilson , Hans-Joachim Blome

We build up a new phenomenological framework associated with a minimal generalization of Einsteinian gravitation theory. When linearity, stationarity and isotropy are assumed, tests in the solar system are characterized by two potentials…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Marc-Thierry Jaekel , Serge Reynaud

One noticed a numerical coincidence between the Pioneer spacecrafts deceleration anomaly and $(\gamma-1)$, with $\gamma$ the Lorentz factor. The match is not only for distances larger than 20 AU, but even for the observed slop between 10…

Space Physics · Physics 2016-09-29 Liviu Ivanescu

A conventional explanation of the correlation between the Pioneer 10/11 anomalous acceleration and spin-rate change is given. First, the rotational Doppler shift analysis is improved. Finally, a relation between the radio beam reaction…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. P. Mbelek , M. Michalski

We study the impact of the cosmological environment on the solar gravitational system by the imbedding formalism of Gautreau. It appears that the cosmic mean-mass density and the cosmological constant give negligibly small contribution to…

Astrophysics · Physics 2007-05-23 D. Palle

The situation with respect to the experiments is presented of a recently proposed model that gives an explanation of the Pioneer anomalous acceleration $a_{\rm P}$. The model is based on an idea already discovered by Einstein in 1907: the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Antonio F. Ranada

Anderson, et al. (gr-qc/9808081) have recently reported the discovery of an apparent anomalous, weak, long-range acceleration in the Pioneer 10/11 and Ulysses spacecraft. I believe that this result can be explained by non-isotropic…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Edward M. Murphy

There are at least four unexplained anomalies connected with astrometric data. Perhaps the most disturbing is the fact that when a spacecraft on a flyby trajectory approaches the Earth within 2000 km or less, it often experiences a change…

General Relativity and Quantum Cosmology · Physics 2009-08-07 John D. Anderson , Michael Martin Nieto

According to a recent modified model of gravity at large distances, a radial constant and uniform extra-acceleration A_Rin of Rindler type acts upon a test particle p in the static field of a central mass M if certain conditions are…

General Relativity and Quantum Cosmology · Physics 2011-12-21 Lorenzo Iorio

Close planetary flybys are frequently employed as a technique to place spacecraft on extreme solar system trajectories that would otherwise require much larger booster vehicles or may not even be feasible when relying solely on chemical…

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