Question:
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy $E₀$, its potential energy is
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy $E₀$, its potential energy is
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For circular orbit, $PE = -2KE$ and $E = -KE = PE/2$.
Updated On: Apr 16, 2026
- $-E₀$
- $1.5 E₀$
- $2 E₀$
- $E₀$
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The Correct Option is C
Solution and Explanation
Step 1: For satellite in circular orbit, $KE = -\frac12 PE$ (since $PE = -\fracGMmr$, $KE = \fracGMm2r$).
Step 2: Total energy $E₀ = KE + PE = -\fracGMm2r$. So $PE = 2E₀$ (since $PE = -2 × \fracGMm2r = 2E₀$? Actually $E₀ = -GMm/2r$, so $PE = -GMm/r = 2E₀$).
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