438 citations
- University of WaterlooCA46 papers
- Hebei Normal UniversityCN19 papers
- Soochow UniversityCN13 papers
- University of OttawaCA10 papers
- Perimeter InstituteCA9 papers
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- Universidad Carlos III de MadridES7 papers
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Showing 2017 · math-phShow all
3 papers · 2 filters
math-ph2017★ 16 cited
Four-body central configurations with one pair of opposite sides parallel
Manuele Santoprete
We study four-body central configurations with one pair of opposite sides parallel. We use a novel constraint to write the central configuration equations in this special case, usi…
math-ph2017★ 2 cited
Planarity conditions and four-body central configurations equations with angles as coordinates
Manuele Santoprete
We discuss several conditions for four points to lie on a plane, and we use them to find new equations for four-body central configurations that use angles as variables. We use the…
math-ph2017
Suslov problem with the Klebsh-Tisserand potential
Shengda Hu, Manuele Santoprete
In this paper, we study a nonholonomic mechanical system, namely the Suslov problem with the Klebsh-Tisserand potential. We analyze the topology of the level sets defined by the in…