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Central Configurations of the 5-Body Problem with Four Infinitesimal Particles

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Abstract

We study central configurations of 5-body problem with one dominant particle and four infinitesimal particles. In 2013, Oliveira (Celest Mech Dyn Astron 116:11–20, 2013) showed that the configurations are symmetric when two infinitesimal particles are diametrically opposite. Moreover, in the case of these two particles have the same mass he proved that the number of central configurations is one or two. In this paper, we provide criteria for the number of the central configurations in the general case where these two particles are unequal mass.

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Acknowledgements

The authors sincerely express their gratitude to Professor Shiqing Zhang for his help and guidance. A project supported by scientific research fund of Sichuan provincial education department (No.18ZB0602) and by the natural science foundation of Southwest University of Science and Technology(No.14zx7148).

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  1. School of Science, Southwest University of Science and Technology, Mianyang, 621010, Sichuan, China

    Jian Chen & Mingfang Yang

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  1. Jian Chen
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  2. Mingfang Yang
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Correspondence to Jian Chen.

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Chen, J., Yang, M. Central Configurations of the 5-Body Problem with Four Infinitesimal Particles. Few-Body Syst 61, 26 (2020). https://doi.org/10.1007/s00601-020-01561-5

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  • DOI: https://doi.org/10.1007/s00601-020-01561-5

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