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Venus has a aphelion distance of 108.94*106 km and an orbital velocity of 34.79 km/s. What...

Venus has a aphelion distance of 108.94*106 km and an orbital velocity of 34.79 km/s. What is Venus’s total orbital energy?

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Answer #1

Total energy E = Kinetic energy + Potential energy

Kinetic energy

where m is the mass of Venus and v is its orbital velocity

mass m = 4.867 * 10^24 kg and orbital velocity is given as v = 34.79 km/s = 34790 m/s

therefore kinetic energy is

Potential energy

where G is the gravitational constant G = 6.674 * 10-11 m3 kg-1 s-2

M is the mass of the sun M = 1.989 * 1030 kg

r is the given aphelion distance r = 108.94 * 106 km = 1.0894 * 1011 m

therefore potential energy is

Therefore, total energy is

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