Narrow Results

The purpose of this work is to investigate an alternative to modified Newtonian dynamics (MOND), in order to explain the rotation curve of galaxies without dark matter hypothesis, and with respect for classical physics. Our hypothesis is that the force of gravitation, in the case of large distances and under certain conditions, possesses a tangential component. We show that the force of gravitation we obtain is compatible with observational data, such as "flat" curve of rotation and the conic trajectories of the stars.

The purpose of this work is to clarify the mathematical form of an alternative classical force of gravitation, which has been described in a previous paper. The purpose of this investigation is to find a solution to the problem of the velocity curve of spiral galaxies, without dark matter hypothesis. In the first part, we study the free fall motion, in the case of our force, and we determine a possible mathematical expression for it. In the second part, we discuss the validity of our assumptions.