Equation to give kepler s 14. discuss the possible types of orbit for a particle movin central potential k/2r2. (a) for the repulsive case (k> 0), show that theprased orbit equation is r(e) bsec n(e - 9o), where n, b, and go are constants (b) for the attractive case (k < 0), the nature of the orbit depends on the sign of (2 + mk and e. find the orbit equation for each possible type use g under t is the o