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The answer is: over 10 orbits - no. Over 10^3 orbits - no. Over 10^9 and more - nobody really cares. By that time the Sun will be halfway to going cold.

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Your answers seem to be about whether or not there will be a collision at those time points.

My curiosity is about visualizing the orbit over time (which includes a non-zero possibility of collision).

P.S. I doubt you would disagree that speculating about where the Roadster will be when the Sun will be getting colder is fun, and not 'nobody really cares.'

Of course, such simulators are hard and expensive and mostly approximations, but doesn't hurt to ask about what options are out there.

On time scales that large the exact orbit is unpredictable, see the Pioneer Anomaly [0] where the RTGs heat radiating away provides a tiny but non zero deceleration, over huge time spans even tiny forces add up. On top of that it's going to be slightly perturbed by Earth, Mars, and Jupiter in ways that can only really be modeled not solved explicitly.

I give it less than a hundred orbits until someone takes a rocket over and nicks it.

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