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A New Version of the Energy of Tangent Indicatrix with Dynamics System in Lie Group

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Abstract

In this work, we construct energy of the moving particle on tangent spherical images in diverse force fields on dynamical and electrodynamical devices by way of Newtonian mechanics. We work with both physical but even more major geometrical strategy meant for the calculation concerning the energy on the moving particle in these types of force fields. We demonstrate that energy on the moving charged particle or energy on a massive body that follows a trajectory of a moving particle can be characterized by intrinsic geometric highlights of tangent spherical images. We likewise associate the connection among energy in moving particle for the distinct category of force fields.

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Acknowledgements

The author would like to express their sincere gratitude to the referees for the valuable suggestions to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Muş Alparslan University, 49250, Muş, Turkey

    Talat Körpınar

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  1. Talat Körpınar
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Correspondence to Talat Körpınar.

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Körpınar, T. A New Version of the Energy of Tangent Indicatrix with Dynamics System in Lie Group. Differ Equ Dyn Syst 30, 383–395 (2022). https://doi.org/10.1007/s12591-018-0413-y

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