Rotation Curves of the Cosmic Objects and Attractive Force in the Universe

Authors: Tamara Kudykina, Alexander Pervak

A hydrodynamic model of the motion of galaxies, planets and moons is proposed in this paper. The solution of the Euler equation gives the description of the rotation curves with the positive parts of the Bessel functions J1(βr), where is the distance from the object to the axis of rotation, and β — is the parameter depending upon the angular velocities, the dimension of the system and the velocity of the progressive motion of the system. In the dimensionless units the case with β>>1 corresponds to the rotation curves of the planets and moons and in this limit coincides with the Kep-ler-Newton law. In the case of parameters β≤1 we have the rotation curves of the galaxies. The hydrodynamic theory describes the rotation curves of both the galaxies and the planets systems without invoking dark matter hypothesis. Within the limit of motion of the cosmic objects in the ideal medium, the expres-sion of the generalized attractive force is derived. In the case of planets (β>>1), the form of the attractive force coincides with the Newton law; in the case of the galax-ies, the attractive force differs sufficiently from the Newton law. The distribution of the energy-density for the cosmic objects is obtained. For the Solar system, the distances between the planets and the Sun are derived. For small planets, the calculation agrees well with the observed values at the parameters β≈80÷90 and for the planets-giants — at β≈40÷50.

Comments: 12 Pages.

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[v1] 2017-02-01 05:11:36

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