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In exam number two, regarding the last question about binary stars, why is it that we add the two equations to determine their orbital period?

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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Never mind, I've thought it through for a bit and it makes sense now. In my mind I thought we would be doubling the period, but we are really just combining the two equations to create an easily manageable solution for T.

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