Are there reliable sources regarding the motion of the Solar System through the Milky Way? So, I've been working on a Newtonian mechanics Solar System simulator. I want to explore what happens when the additional forces due to the other components of the Milky Way are included. My understanding is the the velocity of the Solar System with respect to the Galactic centre is said to be quite substantial ($\sim 800 {\rm km}\,{\rm hr}^{-1}$), so it isn't clear to me these effects can be totally ignored while still getting accurate results. However, this seems to be one of those topics where search engines choke on all the low-quality sources out there.
Can anyone help me out on:


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*How to best search for scholarly sources (i.e. cite primary references, etc.) on astronomical topics in general? For medical topics there is this great resource called pubmed; is there anything equivalent for astronomy/physics?

*Any good sources on this specific topic (approximating the effect of the Milky Way in a Solar System simulation)?
PS: I don't expect to be able to compute the actual forces between $10^5$ stars or anything like that, rather just get some approximation like place a sphere with mass $M$ at distance $({\rm d}x,{\rm d}y,{\rm d}z)$ from the Solar System barycenter.
Edit:
First, regarding the main topic of this question (how to best find good resources on astronomy topics) I should mention that was suggested in the comments, ADS is a useful tool. 
The other theme of the comments was that concerns about inaccuracies due to ignoring the effect of the Milky Way were unjustified. Along those lines, it looks like such effects are detectable but are not currently included in the most common models:

Analysis of VLBI observations relative to ICRF2 indicates a secular
  drift in aberration consistent with the solar system orbiting about
  the center of the galaxy [12]. This effect is not modeled in ICRF2 or
  in the ephemerides DE430 and DE431. It may need to be taken into
  account in future ephemerides as measurement accuracies improve.

The Planetary and Lunar Ephemerides DE430 and DE431. William M. Folkner, James G. Williams, Dale H. Boggs, Ryan S. Park, and Petr Kuchynka. IPN Progress Report 42-196. February 15, 2014. PDF link.
Another interesting thing is that there is apparently an unexpected vertical component of this motion:
The solar acceleration obtained by VLBI observations. M.H. Xu, G.L. Wang, and M. Zhao. A&A 544, A135 (2012). DOI: 10.1051/0004-6361/201219593
 A: You're likely having trouble searching because you've got the wrong keywords. 'Milky Way rotation curve' is likely to serve you much better.
I'd like to clear up an error in the question (that is repeated several times in the comments). The orbital speed of the Sun around the Galaxy is about $220\,{\rm km}\,{\rm s}^{-1}$. Kilometers per second.
As was pointed out in the comments, the large-scale galaxy has little effect on the Solar System:


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*You could model the galaxy mass distribution as a crude halo + disk + bulge, or similar. Your Solar System would then orbit around in this potential, but internally very little would change; the tidal acceleration from the coarse-grained distribution is insignificant when compared to accelerations internal to the Solar System.

*You could try to model the solar neighbourhood in more detail, but putting together initial conditions that are (1) based in reality and (2) even close to dynamically stable will be a lot of work. Like a career's worth of work.

*You could try to model a small region of the interstellar medium around the Solar System. This is more feasible, and the velocity of the Sun (relative to the medium, which will also be orbiting in the Galaxy) is pretty important since what you'd be looking at in this case is features like the heliopause. This is no longer a Newtonian dynamics simulation, however. This becomes full blown hydrodynamics, including a solid model for the solar wind and the physics of the interstellar medium.

There's a reason that serious research on Solar System dynamics mostly models the Solar System as an isolated system... well, there are two actually. (1) It's very difficult to include external effects and (2) they aren't very important anyway.
