 Period-product invariant for conservative mass transfer

ID: period-product-invariant-for-conservative-mass-transfer

Negligible spin and a circular orbit give

J = M_{1} M_{2} G a / M

. Fixed

M

and

J

imply

a (M_{1} M_{2})^{2}

is constant. Kepler's third law then gives the period-product invariant

P (M_{1} M_{2})^{3}

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