The Global Positioning System (GPS) uses satellites to support navigation on Earth - AQA - A-Level Physics - Question 2 - 2021 - Paper 2
Question 2
The Global Positioning System (GPS) uses satellites to support navigation on Earth.
One GPS satellite is in a circular orbit at a height h above the surface of the ... show full transcript
Worked Solution & Example Answer:The Global Positioning System (GPS) uses satellites to support navigation on Earth - AQA - A-Level Physics - Question 2 - 2021 - Paper 2
Step 1
Explain how the linear speed of this satellite compares with the linear speed of the satellite in Question 02.1.
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Answer
In a higher circular orbit, the linear speed (v) of the satellite is given by:
v=ω(R+h)
As the orbit increases in radius, the angular speed ω decreases according to:
ω=(R+h)3GM
Therefore, although the higher orbit has a larger radius, the decrease in ω leads to a lower linear speed compared to that of the satellite in Question 02.1. Thus, the satellite in a higher orbit travels more slowly than the one in a lower orbit.