*Astron. Astrophys. 330, 474-479 (1998)*
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## Rotation curves for spiral galaxies and non-Newtonian gravity:
a phenomenological approach
**
C. Rodrigo-Blanco and
J. Pérez-Mercader
**
Laboratorio de
Astrofsica Espacial y
Fsica Fundamental (LAEFF),
P.O. Box 50727, E-28080 Madrid, Spain
*Received 26 March 1996 / Accepted 8 November 1996*
**Abstract**
Rotation curves of spiral galaxies are known with reasonable
precision for a large number of galaxies with similar morphologies.
The data implies that non-Keplerian fall-off is seen. This implies
that (i) large amounts of dark matter must exist at galactic scales or
(ii) that Newtonian gravity must somehow be corrected. We present a
method for inverting the integral relation between an elemental law of
gravity (such as Newton's) and the gravitational field generated by a
thin disk distribution with exponential density. This allows us to
identify, directly from observations, *extensions* of Newtonian
gravity with the property of fitting a large class of rotation curves.
The modification is inferred from the observed rotation curve and is
finally written in terms of Newton's constant or the effective
potential of a test mass moving in the field generated by a point-like
particle.
**Key words:** gravitation
galaxies: kinematics and
dynamics
methods:
analytical
cosmology: dark matter
*Send offprint requests to:* crb@laeff.esa.es
© European Southern Observatory (ESO) 1998
Online publication: January 16, 1998
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