Looking for a decent gravity simulator

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I am looking for a gravity simulator that let's me place new bodies arbitrarily. Specifically, I want to watch what happens when firing a one tonne projectile retrograde from Luna at ~2.7km/s. The projectile will end up in an elliptical Earth orbit, but I don't want to discount the sun's influence. I want to see how much the sun perturbs the orbit of the projectile compared to the basic Earth-Luna problem.
 
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You can get a basic gravity simulator that help illustrates general relativity for the iPad called "gravity lab" it limited in terms of thing you can do
 
sounds like you're looking for some type of professional software, you probably won't find anything that meets the specifications for an experiment like that online

You'll either need access to a lab with it or you'll probably have to pay a lot for it

Your best bet is probably just to code your own simulation
 
The astrophysical code Gadget does a pretty good job of simulating N-body problems with multiple gravitating bodies. It is freely available here. You will need to be Unix-savvy to install it, and there is a learning curve associated with setting up the initial conditions.
 
I found a program that appears to do what I want. Universe Sandbox let's me place arbitrary bodies, so I can simulate launches from Luna.

The result was an amusing failure. Within one orbit around Earth, the projectile had an orbital inclination of nearly 90 degrees. A launcher like this clearly would need some ability to aim.