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talk to an astrophysicist. And I suspect that the equations aren't as simple as you'll want them to be.Where would you find that?
That, I didn't know. That's pretty cool to know, however.Beta Orionis or Rigel is actually a four star system but only very large telescopes can resolve the three faint companion stars.
If it's exhausted all it's hydrogen fuel -- why isn't it a red-giant already? Generally when hydrogen-hydrogen fusion can't maintain the hydrostatic equilibrium, it will collapse until heavier elements fuse.Depending on the source, data about Rigel are varied. In general it is roughly 870 Light-Years from the Earth and is the 7th brightest star in the sky (5th in the northern hemisphere). It is a variable star about 10 million YO (Sun is 4.5 Billion YO) that has already exhausted all of its core hydrogen fuel. A blue-white giant it will progress to a red-giant that will colapse before going super-nova.
Diameter of Rigel is over 70 times the sun.It is (depending on source) 47,000 time more luminous than the sun with a surface temperature of 21,000F (10,000F for the Sun) total energy output 120,000 times that of the sun.