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| derivation of kepler's third law |
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Tagged with:
academic
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posted on 14 May 2007 14:36:33 IST
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| Fgravity = (Gm1m2) / R2 | Definition of gravity force | | Fc = m * ac | Force = mass * acceleration | | Fc = (m14p 2R) / T2 = (Gm1m2) / R2 | orbit caused by Fcentripetal ;Fc = gravity;ac = 4p 2R / T2 | | 1/(Gm2) * 4p 2R/T2 = Gm2/R2 * 1/(Gm2) | Multiply both sides by 1/(Gm2) | | 4p 2R/(T2 * Gm2) * (T2/R) = 1/R2 * (T2/R) | Multiply both sides by (T2/R) | 4p 2/(Gm2) = K = T2/R3
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(posted on 14 May 2007 16:10:15 IST)
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| great....... |
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