Test Academy | A satellite moves eastwards very near the surface of the earth in the equatorial plane of the earth with speed v₀ . Another satellite moves at the same height with the same speed in the equatorial plane but westwards. If R = radius of the earth about its own axis, then the difference in the two time period as observed on the earth will be approximately equal to 4πRv₀/R²ω⁴-v₀², 4πRv₀/R²ω²-v₀², 4πRv₀/R²ω²+v₀², 2πRv₀/R²ω²+v₀²

Question

A satellite moves eastwards very near the surface of the earth in the equatorial plane of the earth with speed v₀ . Another satellite moves at the same height with the same speed in the equatorial plane but westwards. If R = radius of the earth about its own axis, then the difference in the two time period as observed on the earth will be approximately equal to

Options :

4πRv₀/R²ω⁴-v₀²
4πRv₀/R²ω²-v₀²
4πRv₀/R²ω²+v₀²
2πRv₀/R²ω²+v₀²

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