Eisenhart lift for Euler’s problem of two fixed centers

Hai Zhang and Qing-Yi Hao

Applied Mathematics and Computation, 2019, vol. 350, issue C, 305-312

Abstract: We apply the approach of Eisenhart lift to the classical Euler’s bicentric system, yielding a three-dimensional geodesic system. An extra potential is added to the geodesic Hamiltonian to preserve the separability of the system. We also make a generalization of the system by Jacobi method. The Stäckel separability of all of these systems are verified. Their Hamilton–Jacobi equations are integrated in principle. The explicit forms of the Killing tensors on the associated Riemannian manifolds are also shown.

Keywords: Euler’s problem of two fixed centers; Eisenhart lift; Stäckel separability; Jacobi method (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300319300311
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:350:y:2019:i:c:p:305-312

DOI: 10.1016/j.amc.2019.01.022

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().