کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
800884 | 1467679 | 2014 | 5 صفحه PDF | دانلود رایگان |
• 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.
Journal: Mechanics Research Communications - Volume 57, April 2014, Pages 44–48