How did he get the fraction with fraction power?So we have a simple equation that is from Kepler. ( r ¯ 1 r ¯ 2 ) 3 = ( T 1 T 2 ) 2 In an explanation of a physics book, you can resolve for r 2 like this: r 2 = r 1 ( T 1 T 2 ) 2 / 3 And I found r 1 = T 1 2 T 2 2 r 2 3 3 First question, is my approach correct? My second and main question is how did he get the r 2 equation that I stated first. The physics book doesn't explain how to get from the main equation to r 2 = r 1 ( T 1 T 2 ) 2 / 3 . Can someone explain me, please? (By the way, of course the equation for r 1 and r 2 should be different).Thank you!

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How did he get the fraction with fraction power?So we have a simple equation that is from Kepler.            (                                                  r              ¯                                1                                                    r              ¯                                2                    )        3    =            (                        T          1                          T          2                    )        2  In an explanation of a physics book, you can resolve for       r    2   like this:      r    2    =      r    1              (                        T          1                          T          2                    )              2              /            3      And I found      r    1    =                              T          1          2                          T          2          2                            r        2        3              3  First question, is my approach correct? My second and main question is how did he get the       r    2   equation that I stated first. The physics book doesn&#039;t explain how to get from the main equation to       r    2    =      r    1              (                        T          1                          T          2                    )              2              /            3      . Can someone explain me, please? (By the way, of course the equation for       r    1   and       r    2   should be different).Thank you!

Karla Hull · Accepted Answer

Your equation looks good. Check this out:      r    1    =                              T          1          2                          T          2          2                            r        2        3              3    =            r      2      3        3                      (                              T            1                                T            2                          )            2        3    =      r    2                      (                              T            1                                T            2                          )            2        3  Now all you need to know is that       x          a      b       is defined as             x      a        b  Does that help?

How did he get the fraction with fraction power? So we have a simple equation that is from Kepler.

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