How Does the Decreasing Mass of the Sun Affect Earth's Orbital Radius?

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SUMMARY

The discussion focuses on the impact of the decreasing mass of the Sun on Earth's orbital radius, specifically addressing the equation dM/dt = -constant.M. A participant attempted to solve the problem using the equation M = M0 - alpha.t and the gravitational force equation GMm/r^2, but faced challenges in deriving the correct solution. The forum emphasizes the importance of understanding centripetal force in this context and suggests utilizing resources like "Schaum's Outline" for additional practice problems.

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  • Knowledge of centripetal force concepts
  • Basic principles of astrophysics related to stellar mass changes
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1. The mass of the sun is decreasing as dM/dt=-constant .M
Find [dr/dt]/r for the earth


Homework Equations





3. I tried using M=M0-alpha. t and then separating the variables in the equation GMm/r^2=mdv/dt. I don't knot the right way to solve this. Plz tell me how to solve this problem and where can i find similar problems. I need your reply soon as i am preparing for qualifying exam.Thanx
=
 
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We don't give solutions here.

There are a lot of physics problems books like "Schaum's Outline" etc.

Now I would try the centripetal force.
 

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