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An axially symmetric space station (principal axis e3, and

Chapter 10, Problem 10.44

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QUESTION:

An axially symmetric space station (principal axis e3, and Xi = X2) is floating in free space. It has rockets mounted symmetrically on either side that are firing and exert a constant torque r about the symmetry axis. Solve Euler's equations exactly for co (relative to the body axis) and describe the motion. At t = 0 take co = (cow, 0, 130)-

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QUESTION:

An axially symmetric space station (principal axis e3, and Xi = X2) is floating in free space. It has rockets mounted symmetrically on either side that are firing and exert a constant torque r about the symmetry axis. Solve Euler's equations exactly for co (relative to the body axis) and describe the motion. At t = 0 take co = (cow, 0, 130)-

ANSWER:

Step 1 of 5

 

And,

 

                                                 

Where,  is applied torque

Equation 3 becomes,

                                     

Where, M is applied torque by rocket

                                     

 

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