Internal Combustion Engines
For the same compression ratio

Both Otto and Diesel cycles are, equally efficient
Otto cycle is more efficient than the Diesel
Diesel cycle is more efficient than Otto
Compression ratio has nothing to do with efficiency

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Internal Combustion Engines
If V₁ is the jet velocity and V₀ is the vehicle velocity, then the propulsive efficiency of a rocket is given by

[2(V₀/V₁)]/ [1 + (V₀/V₁)²]
V₀/(V₀ + V₁)
(V₀/V₁)/ [1 + (V₀/V₁)²]
V₁/(V₀ + V₁)

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