Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode

DOI10.1007/s10569-018-9837-5zbMath1396.70007arXiv1705.01160OpenAlexW2611687342WikidataQ58887679 ScholiaQ58887679MaRDI QIDQ1785904

Daniele Ritelli, Giovanni Mingari Scarpello

Publication date: 2 October 2018

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.01160

zbMATH Keywords

Euler angleselliptic integralsAppell functionLauricella hypergeometric functionsherpolhodemotion about a fixed point

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05) Motion of a rigid body with a fixed point (70E17)

Related Items (1)

The periodic rotary motions of a rigid body in a new domain of angular velocity

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