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this lead me to think, atkinson cycle lets you win both ways, the mixture in the combustion cycle is one that gives the highest temperature as it has the least mass to heat in relation to the fuel used.
only problem is it pumps air into and out of the cylinders every inlet cycle, so more pumping loss than is ideal. what we need is a system that only has the stroke long enough on the inlet stroke to get the correct amount of chemically correct mixture into the cylinder without throttling, then have the full power stroke.
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