Orbital Motion of Planets and Satellites – Practice

Questions:

1) Calculate the orbital velocity of the Earth around the Sun given the following information:

Mass of the Earth = 6.0 × 1024 kg

Mass of the Sun = 1.99 × 1030 kg

Average Sun – Earth distance = 1.5 × 1011 m

 

2) A 200kg satellite orbits Mars at an altitude of 350km. Use the following information to calculate:

Mass of the Mars, MM = 6.42 × 1023 kg

Radius of the Mars, rM = 3390 km

a) the orbital velocity of the satellite:

b) the period of the satellite:

c) what happens to the orbital velocity and the period if the mass of the satellite is doubled?

 

3) An Earth satellite has an orbital velocity of 10000 km/hr. Calculate the altitude of this satellite given:

Mass of the Earth, ME = 6.0 × 1024 kg

Radius of the Earth, rE = 6.371 × 106 m

Quick Answers:

1) 29747 m/s

2a) 3384 m/s    b) 6944.18 sec (115.7 minutes)    c) Nothing. Vo and T depend on the mass of the central body only.

3) 45494837 m (45500 km)

Worked Answers:

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