Relativity and Cosmology

   

On the Motion of Rotating Celestial Bodies and Polar Jets

Authors: Pantelis M. Pechlivanides

The motion of rotating bodies is studied. The relativistic force between them, being non central, varies in orientation and magnitude depending on the rotational angular velocity of the bodies. Thus, the orbiting bodies experience acceleration or deceleration attraction or repulsion during their orbits leading to a rich variety of possible orbits. The conditions for existence of central force and in particular circular orbits that are stable is investigated. It is shown that stable circular orbits are possible only at particular distances from the origin. Application of these results to the Pluto — Charon dyad, allows us to determine the slippage constant for exponentially decreasing rotation of signals emanating from the rotating body. The creation of polar jets by large rotating bodies that attract and expel multitudes of minute bodies in their positive and negative directions of their axis of rotation is explained. The problem is then formulated as a relativistic flow problem for the far away observer. The ratio of the radial to axial velocity is calculated and the formation of jets in the axial direction is discussed for both microcosmos and macrocosmos.

Comments: 22 Pages.

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Submission history

[v1] 2023-02-12 14:32:03

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