Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003acasn..44..375z&link_type=abstract
Acta Astronomica Sinica, vol. 44, no. 4, p. 375-381
Astronomy and Astrophysics
Astronomy
Gravitational Theories, Dark Matter
Scientific paper
The predictions of the modified gravitational model MOND and the model of dark matter for the earth's gravitational system are examined. We focus on the commonly used MOND models. For the simplest of these models, we present a general expression for the gravitational potential in the case of spherical symmetry, and calculate the predicted angular velocity of a satellite moving in the field. It is found that the angular velocity is different in the different MOND models, that the differences between the predictions of these models and the Newtonian theory are very small, but that the difference in the simplest case (n=1) is larger. In the case of the moon, actual measurements with exiting techniques can be possibly made for this difference in angular velocity. We have also estimated the influence on the angular velocity of the moon due to the model of dark matter. and found it to be far smaller than the effect of the MOND theory. Therefore, the measurement of this difference in angular velocity may provide a criterion for discriminating the MOND theory and the model of dark matter.
Han Jian-Long
Zhang Yajing
Zhao Wenbing
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