Krishna
0

A satellite is a moon, planet or machine that orbits a planet or star. Most satellites are launched into space on rockets.


To launch a satellite into orbit you required to change the mechanical energy. You will increase potential energy and kinetic energy.


So, Total energy = Kinetic energy + potential energy

kinetic energy = \frac{1}{2} mv^2

                           v = \sqrt{\frac{GM}{R}}

                       = \frac{1}{2} m (\sqrt{\frac{GM}{R}})^2   

                      =   \frac{GMm}{2R}

The kinetic energy at altitude 2 R = \frac{GMm}{6R}

The gravitational potential energy at altitude 2 R = - \frac{GMm}{3R}


Where m = mass of an satellite, M = mass of the planet. R = radius of the planet. G = regularly occurring gravitational consistent. 


Energy at altitude of 2R = P.E +K.E. 

                                        =   - \frac{GMm}{3R} +   \frac{GMm}{6R}

                                        = \frac{5GMm}{6R}


The energy also depends on whether you launch the satellite against or in the  direction of the rotation of the earth. bot it is not required now.