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daveio/result.txt

Created September 19, 2018 02:43
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Did we find Vulcan?
Raw
result.txt
ref: https://twitter.com/aussiastronomer/status/1042193826205454336
g(earth) = 9.81
g(vulcan) = g(earth) * 1.4
g(vulcan) = 9.81 * 1.4
g(vulcan) = 13.734
G = 6.67408e-11
M(earth) = 5.972e24
M(exoplanet) ~= M(earth) * 8
M(exoplanet) ~= 4.7776e25
Solve for r: g = G * M / r^2
13.734 = G * 4.7776e25 / r^2
13.734 * r^2 = G * 4.7776e25
r^2 = (G * 4.7776e25) / 13.734
r = sqrt ((G * 4.7776e25) / 13.734)
r = sqrt (3.1886085e15 / 13.734)
r = sqrt (2.3216896e14)
r = 15237091.586
d(exoplanet) = r * 2
d(exoplanet) = 15237091.586 * 2
d(exoplanet) = 30474183.172
d(exoplanet) = 30474.183172km
d(vulcan) = 13584km (cf. Memory Alpha)
d(exoplanet) != d(vulcan)
exoplanet != vulcan
:(
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