Given the following astronomical data: mass of the Sun 1.99x10³⁰ kg, mass of Jupiter 1.9 x10 ²⁷ kg, radius of the orbit of Jupiter around the Sun 778.3 x10⁶ km, Jupiter's orbital period of revolution T=11.86 years.

a) What is the gravitational force in Newtons between the Sun and Jupiter?

b) What is the centripetal acceleration of Jupiter as it revolves around the Sun?

c) If somehow the mass of Jupiter is reduced by half and its orbital radius is also reduced by half, what would the new force be?