Orbital period race

Double the orbital radius. How much longer is a year?

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Make a prediction

Which orbit takes longer to complete?

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How it works & assumptions

For circular orbits with normalized gravitational parameter μ=1, T=2πr^(3/2), angular speed=1/r^(3/2).

A shared fixed central mass; circular, noninteracting orbits. Radius and time use normalized model units.

References: University Physics Volume 1, section 13.5: Kepler's Laws of Planetary Motion

This is an ideal mathematical model, not a measurement or a forecast.

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