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Math Help - orbit

  1. #1
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    orbit

    Let ρ: RR be a nonidentity rotation about the point P. Describe geometrically the ρ -orbits on the set P of all points of R. Does this explain why orbits are called orbits?
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  2. #2
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    Quote Originally Posted by apple2009 View Post
    Let ρ: RR be a nonidentity rotation about the point P. Describe geometrically the ρ -orbits on the set P of all points of R. Does this explain why orbits are called orbits?
    Oh, c'mon! This is as easy as a problem can get! Look at a simple example. Suppose p rotates points around the origin by angle 45 degrees. What is p((1,0))? what is p(p((1,0)))? What is p(p(p((1,0))))? Do you see the point?
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