In a shuttle craft of mass m: 3000 kg, Captain Jane way orbits a planet of mass M = 9.50 x 1025 kg, in a circular orbit of radius r = 4.20 x 107 m. What are?

(a) The period of the orbit and

(b) The speed of the shuttle craft? Jane way briefly fires a forward-pointing thruster, reducing her speed by 2.00%. Just then, what are?

(c) The speed,

(d) The kinetic energy,

(e) The gravitational potential energy, and

(f) The mechanical energy of the shuttle craft?

(g) What is the semi major axis of the elliptical orbit now taken by the craft?

(h) What is the difference between the period of the original circular orbit and that of the new elliptical orbit?

(i) Which orbit has the smaller period?