When Will Earth Be Tidelocked To The Sun?

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I need to check a calculation for reasonableness. When I plug in the values for Earth and the Sun, I get a rough approximation of tidelock about 5.5 Gy after formation of the solar system. Is that anywhere close to the right answer?
 
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so we're all going to fry in a billion years? damn, better start pulling out my super...
 
Astroboy said:
so we're all going to fry in a billion years? damn, better start pulling out my super...

That's also just about the same time the inner edge of the HZ will move beyond Earth's orbit -- give or take a few hundred million years. So things should be getting toasty anyway.
 
Update: I found another source, with a different formula, and this one comes out to 480 billion years. Now I don't know what to think.

I know it's a very, very rough estimate, because neither version is taking the influence of other planets into consideration. The difference between 5.5 and 4.8 wouldn't bother me a bit--but the factor of 100 is a different story.
 

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