Because of the relativistic nature of spacetime in the vicinity of a black hole, a satellite orbiting the hole in one direction would have a different orbital period from a satellite orbiting in the other direction. This fact is a violation of
A) the conservation of energy.
B) the principle of equivalence.
C) Kepler's third law.
D) the conservation of angular momentum.

Question

Quizplus · Accepted Answer

Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. This law assumes a Newtonian framework, where time and space are absolute. However, in the relativistic context near a black hole, the distortion of spacetime affects the orbital period, making it direction-dependent. This does not violate the conservation of energy, the principle of equivalence, or the conservation of angular momentum, but it does challenge the classical interpretation of Kepler's third law, which does not account for relativistic effects.

Because of the Relativistic Nature of Spacetime in the Vicinity