Testing Gravity in the Outer Solar System: Results from Trans‐Neptunian Objects

Wallin, John F.; Dixon, David S.; Page, Gary L.

doi:10.1086/520528

Cited by 28 publications

(29 citation statements)

References 22 publications

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“…The cosmic microwave background together with the baryon acoustic oscillations restricts the change of the effective gravitational constant between the recombination and the present epochs to be quite small, [25,26], while the current Solar System constraints on the time variantion of G are also very strict [34,35]. Similarly, the motions of objects in the Solar [36][37][38][39] and extra-Solar [40] systems as well as of stars around the massive body in the galactic center [41] are consistent with no significant distance variation of the gravitational constant or a Yukawa type correction. In principle these observations can be employed to constrain the parameters of the models with nonminimally coupled scalar fields (as we did using the PPN parameters [13,29]), however that task remains beyond the scope of the present note.…”

Section: Observational Constraintsmentioning

confidence: 99%

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Järv

2017

Universe

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Abstract:In theories where a scalar field couples nonminimally to gravity, the effective gravitational "constant" becomes dependent on the value of the scalar field. This note first gives a brief review on how the cosmological evolution provides a dynamical stabilization for the gravitational "constant" as the system relaxes towards general relativity in matter dominated and potential dominated regimes for scalar-(curvature)tensor and scalar-torsion gravities. Second part summarizes the radius dependence of the gravitational "constant" around a point mass in the parametrized post-Newtonian formalism for scalar-tensor and multiscalar-tensor gravity.

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Section: Observational Constraintsmentioning

confidence: 99%

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Järv

2017

Universe

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“…one-tenth the magnitude of the Pioneer anomalous acceleration, but "consistent with zero" because of the large uncertainties (Wallin et al 2007). However, their data can also be interpreted as consistent with the type of annulus seen in Fig.…”

Section: Effects In the Far Solar Systemmentioning

confidence: 98%

Scope for a small circumsolar annular gravitational contribution to the Pioneer anomaly without affecting planetary orbits

Moore¹,

Moore²

2013

Astrophys Space Sci

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All proposed gravitational explanations of the Pioneer anomaly must crucially face the Equivalence Principle. Thus, if Pioneers 10 and 11 were influenced by anomalous gravitational effects in regions containing other Solar System bodies, then those bodies should likewise be influenced, irrespective of their shape, composition or mass. Although the lack of any observed influence upon planetary orbits severely constrains such explanations, here we aim to construct by computer modeling, hypothetical gravitating annuli having no gravitational impact on planetary orbits from Mercury to Neptune. One model has a central zone, free of radial gravitation in the annular plane, and an 'onset' beyond Saturn's orbit, where sunward annular gravitation increases to match the Pioneer anomaly data. Sharp nulls are included so that Uranus and Neptune escape this influence. Such models can be proportionately reduced in mass: a 1 % contribution to the anomaly requires an annulus of approximately 1 Earth mass. It is thus possible to comply with the JPL assessment of newly recovered data attributing 80 %, or more, of the anomaly to spacecraft heat, which appears to allow small contributions from other causes. Following the possibility of an increasing Kuiper belt density at great ranges, another model makes an outward small anomalous gravitation in the TNO region, tallying with an observed slight indication of such an effect, suggesting that New Horizons may slightly accelerate in this region.G.S.M. Moore ( ) · R.E.M. Moore

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“…f One includes an additional acceleration term in the equation of motion in a way similar to Wallin et al (2007), but here systematically at any distance to the Sun,r = −GM (1/r 3 + κ) r. h That is the sum of a constant rigid rotation Wo at reference epoch t0 and a rotation rate W1 .…”

Section: Results -Discussionmentioning

confidence: 99%

Gaia and the asteroids: Local test of GR

et al. 2009

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Abstract. We present in the following some capabilities of the Gaia mission for performing local test of General Relativity (GR) based on the astrometry of asteroids. This ESA cornerstone mission, to be launched in Spring 2012, will observe-in addition to the stars and QSOs-a large number of small solar system bodies with unprecedented photometric and, mostly, astrometric precisions. Indeed, it is expected that about 250, 000 asteroids will be observed with a nominal precision ranging from a few milli-arcsecond (mas), to sub-mas precision, depending on the target's brightness. While the majority of this sample is constituted of known main-belt asteroids orbiting between Mars and Jupiter, a substantial fraction will be made of near-Earth objects, and possibly some newly discovered inner-Earth or co-orbital objects.Here we show the results obtained from a simulation of Gaia observations for local tests of GR in the gravitational field of the Sun. The simulation takes into account the time sequences and geometry of the observations that are particular to Gaia observations of solar system objects, as well as the instrument sensitivity and photon noise. We show the results from a variance analysis for the nominal precision of the joint determination of the solar quadrupole J 2 and the PPN parameter β. Additionally we include the link of the dynamical reference frame to the conventional kinematically non-rotating reference frame (as obtained in the visible wavelength by Gaia observations of QSOs). The study is completed by the determination of a possible variation of the gravitational constantĠ/G, and deviation from Newtonian 1/r 2 gravitational law. Comparisons to the results obtained from other techniques are also given.

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Testing Gravity in the Outer Solar System: Results from Trans‐Neptunian Objects

Cited by 28 publications

References 22 publications

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Scope for a small circumsolar annular gravitational contribution to the Pioneer anomaly without affecting planetary orbits

Gaia and the asteroids: Local test of GR

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