Pseudo Mucket, Treder potential
Abstract
Within the two-body problem associating of the famous Mucket-Treder type field, we study a potential obtained by the replacement of logarithm-term with squareroot term, and we call it the pseudo-Mucket-Treder ( pMT-potential). Working in the analytic frame, we investigate some mathematical aspects such as: (i) we find a proper McGehee transformation in order to remove the singularity from motion equations and the first integrals corresponding of the pMT-potential; (ii) inter-playing h-the energy and C-the angular momentum values, we identify the equilibria admitted cases
- Publication:
-
Romanian Astronomical Journal
- Pub Date:
- 2018
- Bibcode:
- 2018RoAJ...28..109C
- Keywords:
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- celestial mechanics;
- dynamical system;
- Mucket-Treder potential;
- equilibria.