When a satellite is revolving into the orbit around a planet then we can say
net centripetal force on the satellite is due to gravitational attraction force of the planet, so we will have
[tex]F_g = F_c[/tex]
[tex]\frac{GM_pM_s}{r^2} = \frac{M_s v^2}{r}[/tex]
now we can say that kinetic energy of satellite is given as
[tex]KE = \frac{1}{2}M_s v^2[/tex]
[tex]KE = \frac{GM_sM_p}{2r}[/tex]
also we know that since satellite is in gravitational field of the planet so here it must have some gravitational potential energy in it
so we will have
[tex]U = -\frac{GM_sM_p}{r}[/tex]
so we can say that energy from the fuel is converted into kinetic energy and gravitational potential energy of the satellite
