There are a lot of calculators, simulators, plotters, visualizers, and libraries of bits of code and models and such online. Many of us are aware of a bunch of them, and they are great learning tools and aids for projects of all kinds. So, in the spirit of other very popular posts here, I'd like to propose we collect a list of them and update it as new things are found.

In particular, like these questions:

Resources and references on the topic of space exploration

Collection of space exploration related infographics

The Resources and references list has a set of answers that split the material into sections, each of which is a community wiki (people collaborate to add material to the answer and the usual point system doesn't apply). That seems like it would be effective here too.

I started two answers, one for tools that can be used in a browser, and one for things that are downloaded for use. Possibly it would be useful to distinguish between free and for sale material too.

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Online Tools

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Just to get things started... – kim holder Aug 3 at 15:32

Simulator Games

  • Kerbal Space Program, a space travel simulator with fairly realistic physics. It also has a ton of mods and add-ons, a very active forum, and a good wiki, all accessible here. KSP is a commercial product
  • Orbiter, also an accurate space travel simulator, but based on the real solar system and real space craft. It also has a lot of mods and add-ons, and an active forum.
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Downloads

  • Gravity Simulator at orbitsimulator.com
  • Celestia space simulation software, also
    • Celestia Motherlode add-ons of spacecraft, extra-solar objects, and fictional objects for Celestia
  • NASA Eyes to see what spacecraft are doing in the Solar System and beyond.
  • Stellarium An open source planetarium software for showing the night sky.
  • Gpredict An open source program for showing and tracking artificial satellites.
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