Authors: Yongfeng Yang
Long-term observation shows that both stars in the galaxy and galaxies in the clusters revolve much faster than expectation, but the established models like dark matter and other gravity alternatives are difficult to account for this unusual motion. Most disc and elliptical galaxies are often with planar rotational appearance, but the mechanism that determines this feature remains unclear. Here we employ a newly introduced hierarchical two-body gravity model to work, and show that the motion of each star in a galaxy is determined by all the mass that is interior to this star from the galaxy's center, thereby an uniform velocity profile may be yielded for all the stars in a galaxy, and show that under the effect of gravitation a successive hierarchical approach between all components of a galaxy may confine them to fall on a plane and thus remain planar appearance for the galaxy. We rework out the mass of galaxy N4605, 1035, 4062, 2742, 701, 2608, 3495, 1087, 4682, 3672, 1421, 2715, 4321, 7541, 7664, 2998, 753, 801, U3691, I467, and U2885 and find an average increase of 2.99 % the mass that is derived from integral disc model.
Comments: 19 pages, 5 figures, 4 tables; Some of the content has been published at a conference proceeding; Citation: Yang, Y. F., Proceedings of the 18th annual conference of the NPA, College Park, Maryland University, USA, Vol.8: 712-721 (2011)
[v1] 16 Sep 2011
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