I ran into problems on my previous
attempt at fixing the title, so I've re-
posted that entire thread into a new
post:

https://www.google.com/search?q=when+will+moon+break+free+of+earth%3F&oq=when+will+moon+break+free+of+earth%3F
You may be aware that the Moon, due to
tidal forces is being pushed away from
Earth at a rate of around a few centimeters
each year. Meaning that in around 50 billion
years it would escape Earth's gravity entirely.
Something I'd never thought of & wasn't
aware of 'til watching the following video:
Ten Fascinating Paradoxes about the
Universe that Challenge Our Understanding
https://youtu.be/k-3l_IIIoBg
No need to worry about losing the Moon, how-
ever, as there is a bigger worry much sooner
than that in that Earth will interact tidally with
the Sun's outer atmosphere, which would de-
crease Earth's orbital radius.
Drag from the chromosphere of the Sun would
reduce Earth's orbit. These effects will counter-
balance the impact of mass loss by the Sun,
and the Sun will likely engulf Earth in about
7.59 billion years.
https://www.google.com/search?q=When+will+the+sun+expand+and+destroy+earth%3F

More bad news from that video, Jupiter is
interacting with the orbit of Mercury & may
at some point fling Mercury out of the solar
system. Then, Earth & Venus will change
orbits & Earth will move closer to the sun
& Venus will move away from the sun.

Disaster for Earth, as Earth becomes like
Venus & Venus becomes like Earth. I sup-
pose when all that happens, Earth inhabi-
tants could migrate to Venus.

Another potential disaster, Mercury is not
flung out of the solar system but instead
is flung into Earth, destroying all life on
Earth.

The orbit changes mentioned in the video,
I haven't found major orbit changes men-
tioned elsewhere although minor orbit
changes are mentioned.

---
May 16 2023

New Proof Finds the ‘Ultimate Instability’
in a Solar System Model
https://www.quantamagazine.org/new-math-shows-when-solar-systems-become-unstable-20230516/
---

In 2009, a pair of astronomers at the Paris
Observatory announced a startling discovery.
After building a detailed computational model
of our solar system, they ran thousands of
numerical simulations, projecting the motions
of the planets billions of years into the future.

In most of those simulations — which varied
Mercury’s starting point over a range of just
under 1 meter — everything proceeded as ex-
pected.

The planets continued around the sun tracing
out ellipse-shaped orbits that looked more or
less the way they have throughout human his-
tory.

But around 1% of the time, things went side-
ways — quite literally.

The shape of Mercury’s orbit changed signifi-
cantly.

Its elliptical trajectory gradually flattened, until
the planet either plummeted into the sun or col-
lided with Venus.

Sometimes, as it cut its new path through space,
its behavior destabilized other planets as well:

Mars, for instance, might be ejected from the
solar system, or it might crash into Earth.

Venus and Earth could, in a slow, cosmic dance,
exchange orbits several times before eventually
colliding. ...

[see article for further details, noting
that inexplicably, the article fails to
include any time parameters]

I have found a mention of a dramatic change
in climate for other reasons in the following:
https://en.wikipedia.org/wiki/Future_of_Earth

"In about 600 million years from now, the level
of carbon dioxide will fall below the level need-
ed to sustain C3 carbon fixation photosynthe-
sis used by trees. ... the long-term trend is for
plant life to die off altogether. The extinction of
plants will be the demise of almost all animal ...

.... life since plants are the base of much of the
animal food chain on Earth."

Seems we humans thinking of ourselves as living
in a perfect place for life, we by and large ignore
the evidence of major extinction events in Earth's
past that are possible or likely to occur again in
Earth's future.

I know, 600 million years from now, few would be
likely to spend much time worrying about some-
thing so far in the future & hopefully, scientific
advances will enable future humans (likely part
biological part artificial intelligence entities) to
deal with such things.

--- --- ---