I used the term 'Dance of the Planets' earlier because of some software I bought in the late '80s called the same as sold by Arc Science Simulations Inc. It is still sold today even though it ihas old VGA graphics and was designed to run under MS-DOS. It is a true gravity simulator of our solar system which the authors make a point of in their description of the product. it also has a nice feature whereby you can search for events of many types over a selected period. It still runs under DOSBox but if contemplating buying get the free demo first to make sure it works on your hardware.
It was this software that got me even more interested in the motions of the planets, asteroids and comets in our Solar System
See
http://arcscience.com/dance-of-the-planets/