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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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What keeps the planets in your solar system from floating away?
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What are the 2 forces not keeps the planets in their respective orbits?
Centripetal force and Gravity
What force keeps the planets moving forward in their orbits?
The force you seek is gravity.
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The gravity that keeps the planets in orbit is the sun's gravity, which is a product of the sun's mass.
