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We all know that one day the distance between the Earth and the sun will be zero. They will be bonded with gravity. My Question is which side of the earth will face toward the sun? I can't calculate that. Someone please calculate and don't say it's impossible.

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    $\begingroup$ Earth and sun are gravitationally bound. Sun will likely engulf earth and I am not aware of scenarios in which our distance from the sun center shall change, at least to great extent. $\endgroup$ – Alchimista Dec 28 '18 at 20:28
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    $\begingroup$ The answer is 78 degrees east longitude, plus or minus 180 degrees. :-) $\endgroup$ – JohnHoltz Dec 28 '18 at 21:27
  • $\begingroup$ Even accepting the completely hypothetical basis of the question (i.e. the Earth-Moon pair becoming tidally locked to the Sun), it's ludicrous to think that it would be possible to identify which Earth longitude would be favoured. I'd therefore say "it's impossible to calculate". $\endgroup$ – Chappo Says SE Dudded Monica Dec 28 '18 at 23:18
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    $\begingroup$ By the time the Sun contacts the Earth, the continents will have traveled considerably, having undergone several supercontinent cycles. And the ocean will have boiled off long before (in about 1.1 billion years) as the Sun's lumunosity slowly increases. $\endgroup$ – PM 2Ring Dec 30 '18 at 3:38
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We all know that one day the distance between the Earth and the sun will be zero.

This may be true, as the sun will get much bigger and engulf the Earth. But this is irrelevant to the rest of the question, which seems to be about tidal locking.

They will be bonded with gravity.

The Earth is already gravitationally bound to the sun. But it isn't tidally locked. The Earth+moon has too much angular momentum to ever become tidally locked to the sun. It will be engulfed by the sun before it becomes tidally locked.

which side of the earth will face toward the sun

As noted above, the Earth will continue to rotate and will not become tidally locked.

Even if it would become tidally locked it would be impossible to calculate. It is like putting a battery into a clock and asking exactly what time the battery will run out. You can't measure the present nor predict the future with enough accuracy to forecast such things

In other words. This won't happen, and if it does we can't calculate it. It's impossible.

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