Damien Broderick wrote:
> At 07:41 PM 12/1/01 -0800, Spike wrote:
> >already knew the mass of the sun is about 2E30, so Ms/Mj = 1050
> Close; 1047.39
Now, do we *really* know the mass of the sun and Jupiter to
6 places? I'd give ya 4.
> >so square root of that is about 32, so the Sun/Jupiter L1 would
> >be 32 times closer to Jupiter than [to] the sun
> Cube root, I think. If so, circa 10.15 times => 0.092 of 5.2 AU = 0.48 AU,
> so I was close. *Is* it cube root? Damien Broderick
No. At L1, the gravity of Jupiter equals the gravity of the sun, so
plug it into the formula F=mMG/R^2. Everything cancels except
the mass of the planet and the R^2 in the denominator.
Ms/Rs^2 = Mj/Rj^2
Rj/Rs = (1047)^.5 = 32
Rs = Rj / 32
Rj + Rs = 5.2,
so Rs ~ 5
and Rj = .16
Damien I wouldnt steer ya wrong, bud, you're too nice a guy.
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