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The Ring Problem of (N+1) Bodies: An Overview

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Dynamical Systems and Methods

Abstract

The study of N-body systems and their simulation with various models always excited the scientific interest. Here we present an N-body model that has been under investigation in the last 10 years and is called the ring problem of (N+1) bodies, or otherwise the regular polygon problem of (N+1) bodies. In what follows, we give an overview of the scientific work that has been done through all these years, as well as the major results obtained so far.

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Authors and Affiliations

  1. Department of Mechanics, National Technical University of Athens, School of Applied Mathematics and Physical Sciences, 5, Heroes of Politechnion Ave., Zografou Campus, 157 73, Athens, Greece

    Tilemahos J. Kalvouridis

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  1. Tilemahos J. Kalvouridis
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Correspondence to Tilemahos J. Kalvouridis .

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Editors and Affiliations

  1. Edwardsville, School of Engineering, Southern Illinois University, Room: EB2064, Edwardsville, 62026-1805, USA

    Albert C.J. Luo

  2. Institute of Engineering, Department of Electrical Engineering, Polytechnic Institute of Porto, Rua Dr António Bernadino Almeida 431, Porto, 4200-072, Portugal

    José António Tenreiro Machado

  3. Faculty of Art and Sciences, Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

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Kalvouridis, T.J. (2012). The Ring Problem of (N+1) Bodies: An Overview. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_6

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  • DOI: https://doi.org/10.1007/978-1-4614-0454-5_6

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