Home Physics Gravitation Mix A satellite close to the earth is in orbit a…
Physics Gravitation Mix MCQ (Single Correct)

A satellite close to the earth is in orbit above the equator with a period of rotation of 1.5 hours. If it is above a point P on the equator at some time, it will be above P again after time

A
1.5 hours.
B
1.6 hours if it is rotating from west to east.
C
24/17 hours if it is rotating from west to east.
D
24/17 hours if it is rotating from east to west.

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The correct answer is:
CHECK THE SOLUTION.

(b, d)

Let ω ω 0 = the angular velocity of the earth about its axis.

24 =

Let ω ω = the angular velocity of the satellite

1.5 =

For a satellite rotating from west to east (the same as the earth), the relative angular velocity, ω ω 1 = ω ω - ω ω 0 .

Time period of rotation relative to the earth = = 1.6 h.

For a satellite rotating from east to west (opposite to the earth), the relative angular velocity, ω ω 2 = ω ω + ω ω 0 .

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