The tides of Phobos

We know Phobos and Deimos are pulling apart; Deimos is going out and Phobos, in. Here's a thesis I saw last year from (ultimately) Barbara Vonarburg February 2021: tides.

Tides complicate the n-body problem, pulling the bodies into different orbits until the rotations run in sync with the orbits. Sometimes as with the Jovian moons the orbits are Laplacian such that they ain't changin' so the moons just have tides, squashing away within themselves. On the way to those orbits is "secular perturbation"; not even chaos, not really. So no Hamilton equations apply. The Swiss did the calculations the hard way, Newton simulations with energy-shifts.

On Earth, tides act like a planet in between Earth-as-lithosphere and our Moon. The World Ocean sloshes forward, dragging the moon faster - so, higher. The ocean then slows Earth. Luna floats outside our GEO sphere and, obviously, our oceans inside. As Earth slows its GEO rises, faster than Luna can escape. Assuming Earth still has oceans and our Sun doesn't redgiant and other planets don't rattle around, Luna/Earth will lock in place - which assumptions most agree comprise too many, but hey.

The moon may preserve some latitudinal wobble on account of inclination so, not planet-stationary precisely. I prefer Greek for -synch and Latin/Italic for -statio: Areo-Synch Orbit. I want true MSO for Deimos but first we must work with the orbits the warplanet has. But hey again. So: on to Phobos and Deimos.

Of course Mars lacks an ocean, nor even a mantle. Vonarburg made clear that the tides are rising on Phobos. Thing is, Phobos can't lose much energy before its spiral enters Mars' Roche and gets shredded. Which some're hoping to do artificially before that but hey hey hey people.

After that event Deimos is stuck where it's at, which - as David Dickinson notes, correctly for once - won't be far above its present altitude. This assumes the Congressional Republic hasn't installed an ocean upon Mars which, as here, will pull Mars' day longer thus lassoing Deimos. (And assumes, again, the other planets don't Velikovsky it all. HEY)

It all makes me wonder. If Theia had been more violent so forming our Moon further out, our (faster) sloshing tides would still act like Phobos pushing our Moon - but this time not slowing Earth enough to raise GEO to join us. Moon ascends the Libration Points, bye bye moon. Maybe to be Dopple-World messing with our tides from L4.