How was Newton able to calculate the period of revolution of the Moon using his gravitation theory, even though he didn't know the value of G or the masses of the Earth and Moon?
What will be an ideal response?
From GmM/r2 = mv2 / r where m,M are lunar and Earth masses and r distance from Earth to Moon; he got period T = 2? r3/2 / (GM)1/2.
But he knew g=GM/R2 where R is Earth radius, so
T = 2? r3/2 / (gR)21/2 and he knew g, r, and R.
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