claim: Solar Cycle Length proves its the sun.
evidence: The oscillation in the Z direction takes the Sun (  W (  0  ) ν  ) 2 + Z (  0  ) 2 = 98  parsec { \displaystyle { \sqrt { \left( { rac { W( 0 ) }{ 
  u  } }
  ight )^{ 2 }+Z( 0 )^{ 2 } } }=98{ 	ext{  parsec } } } above the galactic plane and the same distance below it, with a period of 2 π  /  ν { \displaystyle 2\pi  / 
  u  } or 83 million years, approximately 2.7 times per orbit.