A spacecraft of rest mass is moving in a stable circular orbit around a non-rotating (Schwarzschild) black hole of mass .
The orbit radius is r=4r?,and rs=2GmC
= gravitational constant,
= speed of light.
Assume:
The spacecraft engines can provide an instantaneous tangential burn.
Relativistic mechanics must be used (Newtonian formulas are not valid).
The black hole is isolated (no accretion disk, no rotation).
Requirements:
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