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Homographic Solutions of the N-body Generalized Lennard-Jones System

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Abstract

In this paper, we obtain the existence of non-planar circular homographic solutions and non-circular homographic solutions of the (2 + N)- and (3 + N)-body problems of the Lennard-Jones system. These results show the essential difference between the Lennard-Jones potential and the Newton’s potential of universal gravitation.

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Acknowledgements

This paper is a part of my Ph.D. thesis. I would like to express my sincere thanks to my advisor Professor Yiming Long for his valuable guidance, help, suggestions and encouragements during my study and discussions on this topic. I also thank the referees for their time and comments.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China

    Bo Wen Liu

  2. Chern Institute of Mathematics, Nankai University, Tianjin, 300071, P. R. China

    Bo Wen Liu

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  1. Bo Wen Liu
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Correspondence to Bo Wen Liu.

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Partially supported by NSFC (Grant Nos. 11131004 and 11671215) and Sino-German (CSC-DAAD) Postdoc Scholarship Program (Grant Nos. 201800260010 and 91696544) funded by China Scholarship Council and Deutscher Akademischer Austausch Dienst

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Liu, B.W. Homographic Solutions of the N-body Generalized Lennard-Jones System. Acta. Math. Sin.-English Ser. 36, 597–604 (2020). https://doi.org/10.1007/s10114-020-8252-5

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  • DOI: https://doi.org/10.1007/s10114-020-8252-5

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