I've been working on simulating orbits. I've found that, when solving Kepler's equation, $M = E - \varepsilon\sin{E}$, I'm unsure about the solution to use. For a true anomaly $< \pi$, using the first solution is correct, but for angles larger than that the second solution must be used. Is this a pattern that repeats indefinitely? I'm having trouble consistently being able to identify the solution I should use. Thanks for any help!
2026-03-26 04:28:26.1774499306
Solving Kepler's Equation
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