Its possible to use the atomic propulsion for shuttles?
The present shuttle has not been designed for atomic (or nuclear) propulsion. We have used such radioactive devices to provide energy for spacecraft that have flown past Mars (where solar energy is not feasible given present technology). It is possible to use it on the shuttle, but solar energy would be more feasible given our proximity to the Sun. It would still require a rocket to get us into orbit. We experimented with a spacecraft named Deep Space 1, which used ion propulsion. It was successful, but draws a lot of energy, and still requires a rocket to escape Earth gravity. A new design with ion propulsion and nuclear radiation is on the drawing board for Jupiter moons to investigate what is expected to be oceans under the surface (ice) in three of Jupiter moons.