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Jun 28 at 6:10 comment added ProfRob @Jim this a Q+A site. There are As to all those Q's. Some have been asked already.
Jun 28 at 4:47 comment added Jim @ProfRob what evidence is there that the plane is 3000 LY "thick". What evidence is there to indicate where our solar system is in relation to the plane? How frequently does our solar system bob "up and down" through the plane? What proof is there of that periodicity?
Jun 19 at 21:07 comment added ProfRob @Walter The well-known and used SHM approximation gives a vertical period of 90 Myr for the Sun, with an amplitude far bigger than 20 pc. How far is that off the "correct" value?
Jun 19 at 10:33 comment added Walter At low $|z|$, the ISM layer becomes important, which has a scale height of $\sim 40pc$. So, the SH is perhaps okay for $|z|<20pc$.
Jun 19 at 10:33 comment added Walter @ProfRob At one scale height you are already making significant errors with SH. For a vertically exponential density $\rho(z)=(\Sigma/2h)\exp(-\zeta)$ with $\zeta=|z|/h$, the potential is $\Phi=2\pi G\Sigma h[\zeta-1+\exp(-\zeta)] = \tfrac12\omega^2z^2[1-\tfrac13\zeta+O(\zeta^2)]$. Thus, the deviation from SH is first not second order and becomes significant early. The force $F=-\omega^2z[1-\tfrac12\zeta+O(\zeta^2)]$ deviates by ~50% from SH by $|z|=h$. At low $|z|$, the ISM layer becomes important, which has a scale height of $\sim 40\,$pc. So, the SH is perhaps okay for $|z|<20\,$pc.
Jun 12 at 7:10 comment added ProfRob @Walter How so? The epicyclic approximation for near circular orbits is a totally standard bit of galactic dynamics isn't it? The SHM approx is good so long as you can assume the density is constant. Hence as long as the vertical amplitude is less than the vertical scale on which the density varies. galaxiesbook.org/chapters/II-03.-Orbits-in-Disks.html (Sec 10.3.1). Which is what I said.
Jun 12 at 1:44 comment added Walter @ProfRob SHM is not a good approximation at all, except perhaps for orbits that don't move more than a few pc out from the mid plane.
Jun 10 at 19:37 comment added James K Yes "reasonably" well defined. But still the uncertainty in the location of the mid plane is a lot more than a few AU. And there is nothing particularly on or around the mid plane. "Above" is of course conventional, not in any sense absolute. If we choose to view the galaxy from the other size, it would be rotating in the oppose sense and the sun would be below the plane.
Jun 10 at 19:10 comment added ProfRob There is a reasonably well-defined mid plane and the Sun is above it and being accelerated back towards it. The thickness isn't really relevant (other than to make SHM a better approximation).
Jun 10 at 18:35 history answered James K CC BY-SA 4.0