# Electron orbital the earth will radiate?

If an electron orbital the earth only influence by gravity,does it emit electromagnetic waves? if so, the radius will decay,eventually falling on earth?

HallsofIvy
Homework Helper
I have no idea what you mean by "an electric orbital the earth only". Are you postulating an electron orbiting the earth? Why bother with such a strange example? Using the "planetary model", an electron orbiting the nucleus of an atom is accelerating and so must be emitting waves- which would result in its losing energy until it cannot orbit the nucleus. That is one of the things that led to the development of quantum physics. The "planetary model" is invalid and an electron emits electromagnetic waves only when goes from one "energy level" to another.

Are you postulating an electron orbiting the earth? Why bother with such a strange example? Using the "planetary model", an electron orbiting the nucleus of an atom is accelerating and so must be emitting waves- which would result in its losing energy until it cannot orbit the nucleus. That is one of the things that led to the development of quantum physics. The "planetary model" is invalid and an electron emits electromagnetic waves only when goes from one "energy level" to another.

Quantum theory approaches classical theory for large quantum numbers. An electron orbiting Earth by gravity alone is on an orbit with a large quantum number. Therefore it has a large number of lower energy levels, and can and will emit electromagnetic waves as it goes to lower energy levels.

The relativistic problem is whether an electron held stationary in a field of gravity would be emitting electromagnetic waves?

WannabeNewton
The relativistic problem is whether an electron held stationary in a field of gravity would be emitting electromagnetic waves?

It would not.

Sorry, the original problem was relativistic after all.

Principle of equivalence says that free fall has to be indistinguishable from inertial movement.

Since a charge carrier moving in a straight line does not radiate, is a charge carrier in free fall allowed to radiate?

WannabeNewton