An explorer plans a mission to place a satellite into a circular orbit around the planet Jupiter.
a) If the radius of the planned orbit is R, use Newton’s laws to show each of the following.
i. The orbital speed of the planned satellite is given by
ii. The period of the orbit is given by
b) The mission goes according to plan and a stable orbit is achieved. However the orbital speed of the satellite is greater than expected. Describe the changes to the orbit, caused by this increase in speed.