| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 800884 | Mechanics Research Communications | 2014 | 5 Pages |
•We determine the general form of the potential of the problem of motion of a rigid body about a fixed point, which allows the angular velocity to remain permanently in a principal plane of inertia of the body.•Explicit solution of the problem of motion is reduced to inversion of a single integral.•A several-parameter generalization of the classical case due to Bobylev and Steklov is found.•Special cases solvable in elliptic and ultraelliptic functions of time are discussed.
We determine the general form of the potential of the problem of motion of a rigid body about a fixed point, which allows the angular velocity to remain permanently in a principal plane of inertia of the body. Explicit solution of the problem of motion is reduced to inversion of a single integral. A several-parameter generalization of the classical case due to Bobylev and Steklov is found. Special cases solvable in elliptic and ultraelliptic functions of time are discussed.
