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gravitational field strength
g = gM/r²
speed of a satellite in orbit
v = √(gM/r)
kinetic energy of a satellite
Uk = GMm/2r
total energy of a satellite
-GMm/2r
escape speed from a planet
v = √(2GM/r)
speed/radius in an elliptical orbit
Li = Lf
rivi = rfvf
gravity inside a planet
Fg = GMmr/R³ (r < R)