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Here's another approach you may find acceptable and helpful: There are a number of Applets on the web that demonstrate Physics, including Astronomy. Unfortunately, most of the Applets are broken...

Does the planet follow an orbit defined by an equation? If not, why not?

Explain how gravity is broken in your game's universe. What is gravity currently doing, what code defines its behavior, and how would you like that behavior to change? If possible, post runnable...

So then you're imagining a pretty unstable solar system with its own rules of physics that you'll have to create. By its own rules, I'm referring to your statement, ". . . a player terraforms a...

But collisions between planets suggests something caused the planets to get in each other's way - their orbits intersected somehow. What caused that? And collisions between asteroids impacts the...

Okay, but I'm not sure being extremely OCD is good for a programmer. Software always has bugs.

But to your current question, then the equations of motion of a planet around the sun will only...

And why do you care about the planet's acceleration? Or force? How does that help you program the motion of the planet? I understand F = MA, but I don't understand why you care. How is that...

So if x, y, and z are used to define the coordinates of your solar system: The sun is at (0, 0, 0) and planets rotate about the sun in the x-z plane (for now). Is that correct? If so, your planet...

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What does "top...