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:
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