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Cheng, Xuhua; Wang, Feng; Liang, Zaitao

On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem. (English) Zbl 1504.70013

J. Differ. Equations 345, 208-232 (2023).

MSC: 70F10 70K20 34C25

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Cen, Xiuli; Cheng, Xuhua; Huang, Zaitang; Zhang, Meirong

On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. (English) Zbl 1476.70015

SIAM J. Appl. Dyn. Syst. 19, No. 2, 1271-1290 (2020).

Reviewer: Cristian Vladimirescu (Craiova)

MSC: 70F07 34C25 34C23 34D20

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Corbera, Montserrat; Llibre, Jaume

On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method. (English) Zbl 1034.70006

Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15–19, 1999. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2902-5). Contemp. Math. 292, 91-127 (2002).

MSC: 70F07

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Corbera, Montserrat; Llibre, Jaume

Periodic orbits of the Sitnikov problem via a Poincaré map. (English) Zbl 0986.70010

Celest. Mech. Dyn. Astron. 77, No. 4, 273-303 (2000).

MSC: 70F07 70H12

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Martínez Alfaro, J.; Orellana, R. B.

Orbit’s structure in the isosceles rectilinear restricted three-body problem. (English) Zbl 0903.70010

Celest. Mech. Dyn. Astron. 67, No. 4, 275-291 (1997).

MSC: 70F07 70G10

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Found 5 Documents (Results 1–5)

On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov \((N + 1)\)-body problem. (English) Zbl 1504.70013

On the stability of symmetric periodic orbits of the elliptic Sitnikov problem. (English) Zbl 1476.70015

On symmetric periodic orbits of the elliptic Sitnikov problem via the analytic continuation method. (English) Zbl 1034.70006

Periodic orbits of the Sitnikov problem via a Poincaré map. (English) Zbl 0986.70010

Orbit’s structure in the isosceles rectilinear restricted three-body problem. (English) Zbl 0903.70010

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