Without considering Earth magnetic field(the charged ball is only attracted by gravity), It does not emit radiation.
The key point is: any charge accelerated by only one force will not emit energy.
IT emits energy only when it's being decelerated.
Or when it's being exerted by more than one force. A typical case is that the charge is running in circular track.
The charge gains energy while being accelerated, releases energy while being decelerated.
Without considering Ea