c20p99-both
By this last operation our equation has now achieved a form which requires only one more transformation to bring it into line with Newton's formula. Instead of writing:
r3 / t2 = c
we write:
r / t2 = c (1 / r2)
All that now remains to be done amounts to an amplification of this equation by the factor 4Ï2m, and a gathering of the constant product 4Ï2c under a new symbol, for which we choose the letter f. In this way we arrive at:
4Ï2mr / t2 = 4Ï2cm / r2
and finally:
P = ... = fm / r2
which is the expression of the gravitational pull believed to be exerted by the sun on the various planetary bodies. Nothing can be said against this procedure from the point of view
r3 / t2 = c
we write:
r / t2 = c (1 / r2)
All that now remains to be done amounts to an amplification of this equation by the factor 4Ï2m, and a gathering of the constant product 4Ï2c under a new symbol, for which we choose the letter f. In this way we arrive at:
4Ï2mr / t2 = 4Ï2cm / r2
and finally:
P = ... = fm / r2
which is the expression of the gravitational pull believed to be exerted by the sun on the various planetary bodies. Nothing can be said against this procedure from the point of view