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Conservation of energy. E= -mu/r + mcV

Conservation of E gives :

0=(d/dr + Del)m(-u/r + cV) = m(v^2/r - cv/r cos(x)) + m(cdv/dr + cDelxV -Del u/r).

The real part is zero:

mv^2/r - mcv/r cos(x) =0 so mv^2/r = mcv/r cos(x0 gives v/c= cos(x) =z the redshift and equilibrium.

The vector part is also zero and gives the orbit:

0 =dcV/dr + vc/r sin(x) T' + vc/r cos(x) R'

T' and R' are the Transverse and Radial unit vectors.

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