Possible relation between galactic flat rotational curves and the Pioneers' anomalous acceleration

Abstract

We consider a generic minimal modification of the Newtonian potential, that is a modification that introduces only one additional dimensional parameter. The modified potential depends on a function whose behavior for large and small distances can be fixed in order to obtain respectively (i) galactic flat rotational curves and (ii) a universal constant acceleration independent of the masses of the interacting bodies (Pioneer anomaly). Then using a dimensional argument we show that the Tully-Fisher relation for the maximal rotational velocity of spiral galaxies follows without any further assumptions. This result suggests that the Pioneer anomalous acceleration and the flat rotational curves of galaxies could have a common origin in a modified gravitational theory. The relation of these results with the Modified Newtonian Dynamics (MOND) is discussed.

Latex2e, 9 pages, no figures

References in corpus (12)

• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• Relativistic gravitation theory for the MOND paradigm
• The Baryonic Tully-Fisher Relation
• Modified Newtonian Dynamics as an Alternative to Dark Matter
• Study of the anomalous acceleration of Pioneer 10 and 11
• Indication, from Pioneer 10/11, Galileo, and Ulysses Data, of an Apparent Anomalous, Weak, Long-Range Acceleration
• Modified Newtonian Dynamics in the Milky Way
• Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
• Refining MOND interpolating function and TeVeS Lagrangian
• What do the orbital motions of the outer planets of the Solar System tell us about the Pioneer anomaly?
• Could the Pioneer anomaly have a gravitational origin?
• Can Minor Planets be Used to Assess Gravity in the Outer Solar System?

Cited by in corpus (5)

• The Pioneer Anomaly
• How Well Do We Know the Orbits of the Outer Planets?
• Why do we Still Believe in Newton's Law ? Facts, Myths and Methods in Gravitational Physics
• A simple model for explaining Galaxy Rotation Curves
• Towards a new generalized space expansion dynamics applied to the rotation of galaxies and Tully Fisher law