I might recommend Space Engine. Some description first, then my own thoughts.
SpaceEngine (stylized as "Space Engine") is a proprietary 3D astronomy program and game engine developed by Russian astronomer and programmer Vladimir Romanyuk. It creates a three-dimensional planetarium representing the entire universe from a combination of real astronomical data and scientifically-accurate procedural generation algorithms. Users can travel through space in any direction or speed, and forwards or backwards in time. SpaceEngine is in beta status and is currently freeware for Microsoft Windows.
Here's a brief blurb from the site:
An almost infinite procedural Universe is seamlessly blended with real objects known to modern astronomy. You can find our own planet Earth and the Solar system, famous stars with recently discovered exoplanets, hundreds of galaxies with real shapes. The power of the procedural engine fills known galaxies with procedural stars, creates procedural planets near real stars and generates procedural landscapes for all exoplanets and uncharted objects of our Solar system.
The key points are 1) it's windows software 2) that's free 3) which gives an accurate simulation of known celestial objects and 4) fills in unknown data with procedurally generated objects.
It's not a pure 100% physics simulation. For instance, the sun won't go red giant and consume the earth after a few billion years. Wikipedia also points out "stellar proper motion is not simulated, and galaxies are at fixed locations and do not rotate." (I think I tried to simulate the Andromeda collision, but that won't happen) But the positions of planets should be accurate, especially in the time frame you mention.
Things I like: you can travel around the universe at various speeds. Anything from 1m/s to AU per second. You can travel to a moon and watch the planet-rise. You can control the FOV and camera projection. You can change the timestep (very slow or very fast, anything in between), or jump to a specific date time. And the physics don't get wonky at increased speeds, like they do in Universe Sandbox. There are user addons and some official expansion packs, like high detailed maps of the planets in our solar system.
Things I don't like: The UI is rather deep, it has a steep learning curve. Like a lot. You're going to be in the manual trying to figure out how to do simple tasks. Grab a piece of paper and make a cheat sheet. Also, it's still in beta, there are a few glitches you will encounter sometimes. Off the top of my head, I remember an issue when switching between camera projections a lot, and the space ship movement has some weird collision issues.
Other thoughts: The last version was released a couple years ago. There's a new updated planned "soon" which will be $20 on steam. I only mention the price to say the author has stated the old versions will continue to be free, and these already have quite a lot of capabilities. You can see a lot of user discovered screenshots at https://www.reddit.com/r/spaceengine/
edit: Sorry for the delay, here's a screenshot of Eris in the year 2347 (just fast forwarded a bit to no date in particular).
Here I've turned on markers for comets and asteroids