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(ii) When planets align as the}.r orbit the Sun they are said to he 'in opposition'. The diagram shows the Earth and Jupiter in opposition. NOT TO SCALE Awehsite states that the Earth and Jupiter am in opposition ever},r 13 months. Deduee whether this statement is meet. mean distance em Eah to Sun = 1.5 x mum mean distance em Iupiterto Sun = 7'3 X 1431an Tam = 12 months [5) 16 The planets orbit the Sun in approximately circular orbits. The orbital time T of a planet is related to the average distance r of the planet from the Sun. {a} {1) Show that T is related to r by the expression: Tjoczr3 (b) The distance of Jupiter from the Sun varies from 7.4 x 101lm to 8.2 x 10"lm. Calculate the change in gravitational potential energy of Jupiter as it moves from its closest distance to its furthest distance from the Sun. mass of Sun = 2.0 x 10 0kg mass of Jupiter = 1.9 x 10" kg (3) Change in gravitational potential energy =