Mechanics of incompressible test bodies moving on λ‐spheres

DOI10.1002/MMA.8126zbMath1530.53023OpenAlexW4210494231MaRDI QIDQ6181829

Ivaïlo M. Mladenov, Vasyl Kovalchuk

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8126

zbMATH Keywords

elliptic functionselliptic integralsincompressibility constraintsmechanics of infinitesimal test bodiesgeodetic equations of motion

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Surfaces in Euclidean and related spaces (53A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential geometric aspects in kinematics (53A17) Elliptic functions and integrals (33E05)

Related Items (1)

Explicit solutions for geodetic problems on the deformed sphere as reference model for the geoid

Cites Work

• Motion of test bodies with internal degrees of freedom in non-Euclidean spaces
• A systematic approach to the exact roots of polynomials
• Cardano's formula, square roots, Chebyshev polynomials and radicals
• Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis
• Geodesics and Deformed Spheres
• Mechanics of infinitesimal gyroscopes on Mylar balloons and their action‐angle analysis
• Mechanics of incompressible test bodies moving in Riemannian spaces
• Classical motions of infinitesimal rotators on Mylar balloons

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