How Does Mass Loss Influence Orbital Expansion?

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AI Thread Summary
Mass loss influences orbital expansion by correlating energy loss with the emission of light, as described by the equation e=mc^2. The discussion focuses on determining the rate of energy loss and its relationship to orbital dynamics. The user is attempting to connect this energy loss to the rate of change of the semi-major axis, da/dt. There is a suggestion to consult a specific reference provided in the question for further clarification. Understanding these relationships is crucial for accurately modeling orbital behavior in the context of mass loss.
accalternata
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Homework Statement
How much do you expect the Earth-Sun system to expand over the 10 Gyr
main-sequence lifetime of the Sun, given that the Sun is losing mass in the form of
light? And how much
given the mass-loss rate of 3×10−14 M⊙ yr−1 associated with the solar wind?
Relevant Equations
See below
1.PNG
2.PNG


I need help with d) and e).
Currently how I've approached it is by using the fact that e=mc^2 and I can correlate this emission of light with loss of mass.

Then I can use the formulas in a) to correlate this with da/dt. I'm struggling to figure out what the rate of energy loss is though.
 
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accalternata said:
I'm struggling to figure out what the rate of energy loss is though.
Have you tried the reference given in the question?
 
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