in the absence of an applied torque a rigid body with three distinct principal m

Question

in the absence of an applied torque a rigid body with three distinct principal moments of inertia given by I1, I2 and I3 is rotating freely about a fixed point inside the body.the Euler equations for its components of its angular velocity (1,2,3)are
d1/dt=[(I2-I3)/I1]23, d2/dt =[(I3-I1)/I2]13 , d3/dt =[(I1-I2)/I3]12
the equilibrium points in(1,3,3) space are:
1. (1,-1,0) , (-1,0,1) , (0,-1,1)
2. (1,1,0) , (1,0,1) , (0,1,1)
3. (1,0,0) , (0,1,0) , (0,0,1)
4. (1,1,1) , (-1,-1,-1) , (0,0,0)
please explain the correct answer(option)

Explanation / Answer

http://www.springerlink.com/content/j7q837n310522572/

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