THE INSPIRAL TIME AND THE ORBITAL DECAY OF THE PLANETS OF THE SOLAR SYSTEM DUE TO GRAVITATIONAL WAVES.

Einstein’s general theory of relativity predicts that any binary orbiting massive objects will radiate gravitational waves, and consequently the separation between the binary systems would decrease and ultimately it will collapse to each other. In practice, the phenomenon has been observed though the theory was predicted hundred years ago by Albert Einstein. We apply here the theory of the general relativity to study the decay of the planetary orbits of the solar system due to the radiation of the gravitational waves and observe how stable the orbits are and how long it would take to collapse to the sun. The calculations of the inspiral time of the planets of the solar system have been compared to the inspiral time of the binary neutron stars and it is observed that the inspiral time of the planets are extremely high in comparison to the massive binary stars. It is interesting to observe that the inspiral time of the earth’s orbit around the sun is ?10?^13 times greater than the age of the universe.