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Determine expression for smallest angle of inclination that will barely produce an eclipse?
Assume that two stars are in circular orbits about a mutual center of mass and are separated by a distance α. Assume also that angle of inclination is i and their stellar radii are r1 and r2.
Find an expression for smallest angle of inclination that will just barely produce in eclipse.
If a=20AU, r1=10R⊙ and r2=1R⊙, what minimum value of I will result in an eclipse?
Hi. That is really a trig problem. Assuming the eclipse will occur on Earth and that the stars have radii of 1 Solar radius (about 400,000 miles) and the other has a radius 10 times as large (4,000,000) and they are separated by 20 AU (about 93,000,000 miles) you can plug in the figures to come up with “i”. You will have to do the math.
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