A satellite ils launched into a circular orbit `1600km` above the surface of the earth. Find the period of revolution if the radius of the earth is `R=6400km` and the acceleration due to gravity is `9.8ms^(-2)`. At what height from the ground should it be launched so that it may appear stationary over a point on the earth's equator?
Text Solution
AI Generated Solution
To solve the problem, we need to find two things:
1. The period of revolution of a satellite in a circular orbit 1600 km above the Earth's surface.
2. The height at which the satellite should be launched so that it appears stationary over a point on the Earth's equator.
### Step 1: Calculate the Radius of the Orbit
The radius of the orbit \( r \) is the sum of the Earth's radius \( R \) and the height \( h \) of the satellite above the Earth's surface.
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