The time period of a geostationary satellite is(A) 24 hours (B) 12 hours(C) 365 days (D) One month
Question
The time period of a geostationary satellite is(A) 24 hours (B) 12 hours(C) 365 days (D) One month
Solution
To determine the time period of a geostationary satellite, we need to understand its characteristics and orbit.
Step 1: Understand the concept of a geostationary satellite A geostationary satellite is a type of satellite that orbits the Earth at the same rotational speed as the Earth itself. This means that it appears to be stationary when observed from the Earth's surface.
Step 2: Determine the rotational period of the Earth The Earth takes approximately 24 hours to complete one full rotation on its axis. This is equivalent to one day.
Step 3: Relate the time period of the geostationary satellite to the Earth's rotation Since a geostationary satellite orbits the Earth at the same rotational speed, its time period will also be 24 hours, which is option (A) in the given choices.
Step 4: Answer the question Therefore, the correct answer is (A) 24 hours.
Similar Questions
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Assume that the Moon is at a distance of3,00,000 km from the Earth, and that ittakes 28 days for it to orbit the Earth once.Geostationary satellites are those which areat a rest relative to the Earth. Using thesetwo facts, derive the altitude of thegeostationary satellite from the centre ofthe Earth.
For a satellite to be in a circular orbit 780 km above the surface of the earth, what is the period of the orbit (in hours)?
A satellite follows a circular geostationary orbit, where its position can be described as x(t)=(Rsin(kt))i+(Rcos(kt))j𝑥(𝑡)=(𝑅𝑠𝑖𝑛(𝑘𝑡))i+(𝑅𝑐𝑜𝑠(𝑘𝑡))j, where R=40,000𝑅=40,000 is the radius of the orbital path in kilometres, t𝑡 is measured in hours, and k=π/12𝑘=𝜋/12.
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