Journal
ACTA MECHANICA
Volume 226, Issue 8, Pages 2461-2472Publisher
SPRINGER WIEN
DOI: 10.1007/s00707-015-1320-8
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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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