Abstract
We consider the general problem of motion of a rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. We will construct two new conditional integrable problems. These cases are combined generalizations of several previously known ones, namely those of Chaplygin and Yehia by the introduction of additional parameters to the structure of each.
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Elmandouh, A.A. New integrable problems in rigid body dynamics with quartic integrals. Acta Mech 226, 2461–2472 (2015). https://doi.org/10.1007/s00707-015-1320-8
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DOI: https://doi.org/10.1007/s00707-015-1320-8