Rewriting General Gravitation
General gravitation was first formulated by Newton as
F = GM1M2/r2
It can be rewritten, using area A = 4πr2 and force F = Ma, as
a = 4πGdM/dA
It can be rewritten in turn, using acceleration a = αr and density ρ = dM/dV and volume V = 8πr3, as
8πGρ = α
Which shows density as equivalent to angular acceleration, and is a law of general gravitation.
Oegstgeest, 27 May 2012
P.J. Brouwer
