The Pioneer anomaly and a rotating Gödel universe

Wilson, Thomas L.; Blome, Hans Joachim

doi:10.1016/j.asr.2009.07.004

Cited by 9 publications

(19 citation statements)

References 65 publications

(74 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The effect of cosmological expansion on local systems had been studied by a number of authors [21, 82, 118, 137, 202], (for reviews, see [73, 124, 177, 422]). To study the behavior of small isolated mass in expanding universe, one starts with the weak field ansatz [73, 177]: and derives the linearized Einstein equations for h μν : The relevant solution with modified Newtonian potential is given below The first part in Equation (6.20) is the standard Newtonian potential with the measured distance R ( t ) r in the denominator.…”

Section: Efforts To Explain and Study The Anomalymentioning

confidence: 99%

See 1 more Smart Citation

The Pioneer Anomaly

Turyshev

Toth²

2010

Living Rev. Relativ.

137

148

View full text Add to dashboard Cite

Radio-metric Doppler tracking data received from the Pioneer 10 and 11 spacecraft from heliocentric distances of 20–70 AU has consistently indicated the presence of a small, anomalous, blue-shifted frequency drift uniformly changing with a rate of ∼ 6 × 10−9 Hz/s. Ultimately, the drift was interpreted as a constant sunward deceleration of each particular spacecraft at the level of aP = (8.74 ± 1.33) × 10−10 m/s2. This apparent violation of the Newton’s gravitational inverse-square law has become known as the Pioneer anomaly; the nature of this anomaly remains unexplained. In this review, we summarize the current knowledge of the physical properties of the anomaly and the conditions that led to its detection and characterization. We review various mechanisms proposed to explain the anomaly and discuss the current state of efforts to determine its nature. A comprehensive new investigation of the anomalous behavior of the two Pioneers has begun recently. The new efforts rely on the much-extended set of radio-metric Doppler data for both spacecraft in conjunction with the newly available complete record of their telemetry files and a large archive of original project documentation. As the new study is yet to report its findings, this review provides the necessary background for the new results to appear in the near future. In particular, we provide a significant amount of information on the design, operations and behavior of the two Pioneers during their entire missions, including descriptions of various data formats and techniques used for their navigation and radio-science data analysis. As most of this information was recovered relatively recently, it was not used in the previous studies of the Pioneer anomaly, but it is critical for the new investigation.

show abstract

Section: Efforts To Explain and Study The Anomalymentioning

confidence: 99%

“…Wilson and Blome [422] derived the equations of motion for an accelerated, rotating observer in a Gödel universe, and calculated the contribution of the universal cosmic rotation or vorticity. However, they found that this term cannot account for the observed Pioneer acceleration.…”

Section: Efforts To Explain and Study The Anomalymentioning

confidence: 99%

The Pioneer Anomaly

Turyshev

Toth²

2010

Living Rev. Relativ.

137

148

View full text Add to dashboard Cite

show abstract

“…Attempts to find exotic gravitational explanations for PA did not even cease after the publication of the latest works on the non‐gravitational effects like Bertolami et al (2008); just to limiting to published works, see e.g. Avramidi & Fucci (2009), Wilson & Blome (2009), Greaves (2009) and Exirifard (2009). A dedicated spacecraft‐based mission to test the PA in the outer regions of the Solar system has also been proposed and investigated (Dittus et al 2005; Rathke & Izzo 2006; Bertolami & Páramos 2007).…”

Section: Introductionmentioning

confidence: 99%

Does the Neptunian system of satellites challenge a gravitational origin for the Pioneer anomaly?

Iorio¹

2010

Monthly Notices of the Royal Astronomical Society

View full text Add to dashboard Cite

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 form, i.e. as a constant and uniform acceleration approximately directed towards the Sun with a non‐zero magnitude after 20 au from the Sun. In this paper we preliminarily investigate its effects on the orbital motions of the Neptunian satellites Triton, Nereid and Proteus, located at about 30 au from the Sun, both analytically and numerically. Extensive observational records covering several orbital revolutions have recently been analysed for them, notably improving the knowledge of their orbits. Both analytical and numerical calculations, limited to the direct, Neptune–satellite interaction, show that the peak‐to‐peak amplitudes of the PA‐induced radial, transverse and out‐of‐plane perturbations over one century are up to 300, 600 km, 8 m for Triton, 17 500, 35 000, 800 km for Nereid and 60, 120 km, 30 m for Proteus. The corresponding orbital uncertainties obtained from a recent analysis of all the data available for the satellites considered are, in general, smaller by one–two orders of magnitude, although obtained without modelling a Pioneer‐like extra‐force. Further investigations based on a reprocessing of the satellites' real or simulated data with modified equations of motions including an additional Pioneer‐type force as well are worth being implemented and may shed further light on this important issue.

show abstract

“…Within the errors, the directions of Ψ are orthogonal to each other. Local, astronomical consequences of the Gödel (1949) model have been recently investigated in Wilson & Blome (2009) by looking for a possible explanation of the Pioneer anomaly occurring in the remote regions of the solar system. mass shell, and of their Machian impact have been produced (Bičák et al 2004;Schmid 2001Schmid , 2006Schmid , 2009.…”

Section: Introductionmentioning

confidence: 99%

“…In all the cases considered so far, a rotation is induced with respect to a locally quasi-inertial Fermi frame; thus, a Coriolis-type acceleration 8 affecting the motions of test particles moving with respect to it arises (Wilson & Blome 2009). See, e.g., Silk (1966) for early studies of the Coriolis and centrifugal accelerations acting on a test particle moving in the Gödel spacetime.…”

Section: Introductionmentioning

confidence: 99%

Solar system constraints on planetary Coriolis-type effects induced by rotation of distant masses

Iorio

2010

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

We phenomenologically put local constraints on the rotation of distant masses by using the planets of the solar system. First, we analytically compute the orbital secular precessions induced on the motion of a test particle about a massive primary by a Coriolis-like force, treated as a small perturbation of first order in the rotation, in the case of a constant angular velocity vector Ψ directed along a generic direction in space. The semimajor axis a and the eccentricity e of the test particle do not secularly change, contrary to the inclination I, the longitude of the ascending node Ω, the longitude of the pericenter ̟ and the mean anomaly M. Then, we compare our prediction for ̟ with the corrections ∆̟ to the usual perihelion precessions of the inner planets recently estimated by fitting long data sets with different versions of the EPM ephemerides. We obtain as prelim-Interpreted in terms of models of space-time involving cosmic rotation, our results are able to yield constraints on cosmological parameters like the cosmological constant Λ and the Hubble parameter H 0 not too far from their values determined with cosmological observations and, in some cases, several orders of magnitude better than the constraints usually obtained so far from space-time models not involving rotation. In the case of the rotation of the solar system throughout the Galaxy, occurring clockwise about the North Galactic Pole, our results for Ψ z are in disagreement with the expected value of it at more than 3 − σ level. Modeling the Oort cloud as an Einstein-Thirring slowly rotating massive shell inducing Coriolis-type forces inside yields unphysical results for its putative rotation.1 It is a theory in which the left-hand side of the field equations is a "tensor" which is covariant only with respect to a reduced class of coordinate transformations.2 Such an important document has been reprinted and commented in Klein et al. (1995). 3 H. Thirring attended it.Recently, investigations of rotational perturbations of pure Friedmann-Lemaître-Robertson-Walker (FLRW) cosmologies, by discarding also in this case the local rotating 5 A serious drawback of such a model was that the dust density diverges at radial infinity.6 For Gödel Λ is negative.7 Here l and b denote the Galactic longitude and latitude, respectively.

show abstract

The Pioneer anomaly and a rotating Gödel universe

Cited by 9 publications

References 65 publications

The Pioneer Anomaly

The Pioneer Anomaly

Does the Neptunian system of satellites challenge a gravitational origin for the Pioneer anomaly?

Solar system constraints on planetary Coriolis-type effects induced by rotation of distant masses

Contact Info

Product

Resources

About