)Artificial satellites are used to monitor weather conditions on Earth, for surveillance and for communications. Such satellites may be placed in a geo-synchronous orbit in a low polar orbit Describe the properties of the geo-synchronous (or geo-stationary) orbit and the advantages it offers when a satellite is used for communications B)A satellite of mass m travels at angular speed coin a circular orbit ata height h above the surface of a planet of mass M and radius R. b i)Using these symbols, give an equation that relates the gravitational force on the satellite to the centripetal force. b ii)Use your equation from part (b)(i) to show that the orbital period, T, of the satellite is given by : T^2=(4π^2)/GM * (R/h)^3 b iii)Explain why the period of a satellite in orbit around the Earth cannot be less than 85 minutes. Your answer should include a calculation to justify this value. Mass of the Earth = 6.4 x 10^24 kg and the radius of the Earth = 6.4 x 10^6 m. C) Describe and explain what happens to the speed of a satellite when it moves to an orbit that is closer to the Earth.

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A)Artificial satellites are used to monitor weather conditions on Earth, for
surveillance and for communications. Such satellites may be placed in a
geo-synchronous orbit in a low polar orbit

Describe the properties of the geo-synchronous (or geo-stationary) orbit and the advantages it offers when a satellite is used for communications


B)A satellite of mass m travels at angular speed coin a circular orbit ata
height h above the surface of a planet of mass M and radius R.


b i)Using these symbols, give an equation that relates the gravitational
force on the satellite to the centripetal force.


b ii)Use your equation from part (b)(i) to show that the orbital period,
T, of the satellite is given by :

T^2=(4π^2)/GM * (R/h)^3


b iii)Explain why the period of a satellite in orbit around the Earth
cannot be less than 85 minutes. Your answer should include a calculation
to justify this value. Mass of the Earth = 6.4 x 10^24 kg and the radius of the
Earth = 6.4 x 10^6 m.

C) Describe and explain what happens to the speed of a satellite when it
moves to an orbit that is closer to the Earth.

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