Test Academy | A satellite is orbiting around the earth in the equatorial plane rotating from west to east as the earth does. If ωₑ be the angular speed of the earth and ωₛ be that of satellite, then the satellite will repeatedly appear at the some location after a time t = 2π/ωₛ-ωₑ, 2π/ωₛ-ωₑ, π/ωₛ-ωₑ, π/ωₛ+ωₑ

Question

A satellite is orbiting around the earth in the equatorial plane rotating from west to east as the earth does. If ωₑ be the angular speed of the earth and ωₛ be that of satellite, then the satellite will repeatedly appear at the some location after a time t =

Options :

2π/ωₛ-ωₑ
2π/ωₛ-ωₑ
π/ωₛ-ωₑ
π/ωₛ+ωₑ

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