marcus
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Originally posted by steinitz
What I'm saying is that stars over time radiate away a fraction of their mass that's been converted to energy through thermonuclear fusion, not through the emission of gravitational radiation. However, as their orbits decay the corresponding orbital energy - as opposed to their proper mass - is lost as gravitational radiation. This applies to your binary system as well.
You may be honestly confused about something.
What you seem to be missing is that the system itself has a rest mass which is not equal to the sum of the masses of the individual stars.
The system's rest mass (actually "rest" is redundant)
includes orbital energy.
Just as the sun's rest mass includes thermal energy---it is not simply the sum of the rest masses of component particles.
The binary system can lose mass thru gravitational radiation even though the individual stars do not.