1997A&A...321..444R -
Astronomy and Astrophysics, volume 321, 444-451 (1997/5-2)
An analytical method for inferring the law of gravity from the macroscopic dynamics: Spherical and thin-disk mass distributions with exponential density.
RODRIGO-BLANCO C.
Abstract (from CDS):
We consider the gravitational potential and the gravitational rotation field generated by a mass distribution with exponential density, when the force between any two mass elements is not the usual Newtonian one, but some general central force. The usual integral relations are inverted and the elemental interaction (between two point-like masses) is obtained as a function of the macroscopic gravitational field (the one generated by the distribution). This has been done in two cases of interest: a sphere, where the exact solution has been found, and a thin disk, where the problem has been solved in the Gaussian approximation. This approach gives us a direct way for testing the possibility of finding a correction to the Newtonian law of gravity that can explain the observed dynamics at large scales without the need of dark matter. We also show that the solution for the thin disk, in the Gaussian approximation, can be used in the case of spiral galaxies with a good level of confidence.
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Journal keyword(s):
gravitation - galaxies: kinematics and dynamics - methods: analytical - cosmology: dark matter
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ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
Syntax of coordinates is : "ra dec (wtype) [error ellipse] quality bibcode" :
ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
Syntax of coordinates is : "ra dec (wtype) [error ellipse] quality bibcode" :
ra dec : right ascension and declination (unit and frame defined according to your Output Options)
Grey values are increasing the original precision due to the computation of frame transformations
(wtype) : wavelength class for the origin of the coordinates (Rad, mm, IR, Optical, UV, Xray, Gam)
[error ellipse] : measurement uncertainty, on (ra,dec) if the positional angle is 90 degrees, on (majaxis,minaxis) otherwise (in mas at defined epoch in the original catalogue),
position angle (in degrees North celestial pole to East)
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References (493 between 1850 and 2022) (Total 493)
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