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Four- and five-body periodic Caledonian orbits

Published online by Cambridge University Press:  30 May 2022

Valerie Chopovda  and
Winston L. Sweatman Open the ORCID record for Winston L. Sweatman [Opens in a new window]
Valerie Chopovda
Affiliation:
School of Mathematical and Computational Sciences, Massey University, Auckland, New Zealand. emails: [email protected], [email protected]
Winston L. Sweatman
Affiliation:
School of Mathematical and Computational Sciences, Massey University, Auckland, New Zealand. emails: [email protected], [email protected]
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Abstract

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We consider four- and five-body problems with symmetrical masses (Caledonian problems). Families of periodic orbits originate from the collinear Schubart orbits. We present and discuss some of these periodic orbits.

Keywords

Celestial mechanicsStellar dynamicsCaledonian few-body problem
Type
Research Article
Information
Proceedings of the International Astronomical Union , Volume 15 , Symposium S364: Multi-scale (Time and Mass) Dynamics of Space Objects (Oct 2021) , October 2019 , pp. 140 - 145
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of International Astronomical Union

Footnotes

†

Present address: Department of Engineering Science, University of Auckland, New Zealand.

References

Chen, K. 2001, Arch. Ration. Mech. Anal. 158(4), 293 CrossRefGoogle Scholar
Chopovda, V. 2019, Computational studies in the few-body problem, PhD thesis, Massey University, Auckland, New ZealandGoogle Scholar
Chopovda, V., & Sweatman, W.L. 2018, Cel. Mech. Dyn. Astron., 130, 39 CrossRefGoogle Scholar
Heggie, D.C. 1974, Cel. Mech., 10, 217 CrossRefGoogle Scholar
Hénon, M. 1976, Cel. Mech. Dyn. Astron., 13, 267 CrossRefGoogle Scholar
Roy, A.E., & Steves, B.A. 2000, Cel. Mech. Dyn. Astron., 78, 299 CrossRefGoogle Scholar
Schubart, J. 1956, AN, 283, 17 Google Scholar
Sekiguchi, M., & Tanikawa, K. 2004, PASJ, 56, 235 CrossRefGoogle Scholar
Sivasankaran, A., Steves, B.A., & Sweatman, W.L. 2010, Cel. Mech. Dyn. Astron., 107, 157 CrossRefGoogle Scholar
Steves, B.A., Shoaib, M., & Sweatman, W.L. 2020, Cel. Mech. Dyn. Astron., 132, 53 CrossRefGoogle Scholar
Sweatman, W.L. 2002, Cel. Mech. Dyn. Astron., 82, 179 CrossRefGoogle Scholar
Sweatman, W.L. 2006, Cel. Mech. Dyn. Astron., 94, 37 CrossRefGoogle Scholar
Sweatman, W.L. 2014, in: Knežević, Z. & Lematre, Anne (eds.), Complex Planetary Systems, Proc. IAU Symposium No. 314, p. 106 CrossRefGoogle Scholar
Sweatman, W.L. 2015, in: Cojocaru, M., Kotsireas, I.S., Makarov, R.N., Melnik, R. & Shodiev, H. (eds.), Interdisciplinary Topics in Applied Mathematics, Modeling, and Computational Science, Springer Proc. in Maths. and Stats., 117, p. 439 Google Scholar