Assignment:
A particle of unit mass is projected with speed √3μ / 2a at right angles to the radius vector at a distance a from a fixed point O and is subjected to a force F(r) = μ/r2, with μ a positive constant. Show that the particle moves on a path which passes the centre at a distance of 3a at its maximum.
Provide complete and step by step solution for the question and show calculations and use formulas.