A small satellite with a mass of m, = 192 kg orbits a planet which has a mass of mp = 6.89 × 1024 kg at a distance R = 4.18 × 104 km above the centre of the planet. The orbit is circular. mp R ms Figure 1: Diagrammatic representation of an artificial satellite of mass m, orbiting a planet of mass mp. The distance between the two objects' centres is represented by R.

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A small satellite with a mass of m² = 192 kg orbits a planet which has a mass of m₂ = 6.89 × 10²4 kg at a distance R = 4.18 × 104 km above the centre of the planet. The orbit is circular.
C
mp
R
Ms
Figure 1: Diagrammatic representation of an artificial satellite of mass m, orbiting a planet of mass mp. The distance between the two objects' centres is represented by R.
Transcribed Image Text:A small satellite with a mass of m² = 192 kg orbits a planet which has a mass of m₂ = 6.89 × 10²4 kg at a distance R = 4.18 × 104 km above the centre of the planet. The orbit is circular. C mp R Ms Figure 1: Diagrammatic representation of an artificial satellite of mass m, orbiting a planet of mass mp. The distance between the two objects' centres is represented by R.
Part 1)
Taking potential energy to be zero if the satellite is an infinite distance from the planet, how much gravitational potential energy does the satellite have in this orbit?
U =
J
Part 2)
How much kinetic energy does the satellite have in this orbit?
K =
Part 3)
After two retrograde burns the satellite enters a new circular orbit with a new orbital velocity. The increase in the velocity is Av = 150 m/s. The thrusters are very efficient and the change in mass of the satellite during
this maneuver is negligible. What is the AR, the change in orbital radius?
AR=
km
Note: Enter a positive number if the radius increases and a negative number if the radius decreases.
Transcribed Image Text:Part 1) Taking potential energy to be zero if the satellite is an infinite distance from the planet, how much gravitational potential energy does the satellite have in this orbit? U = J Part 2) How much kinetic energy does the satellite have in this orbit? K = Part 3) After two retrograde burns the satellite enters a new circular orbit with a new orbital velocity. The increase in the velocity is Av = 150 m/s. The thrusters are very efficient and the change in mass of the satellite during this maneuver is negligible. What is the AR, the change in orbital radius? AR= km Note: Enter a positive number if the radius increases and a negative number if the radius decreases.
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