Stellarium uses the spherical Earth model. In addition, there is a version for mobile phones/tablets, albeit a paid one, and a simpler web-based version.
It is freely available for all the major desktop operating systems. Stellarium is free software and costs nothing to download. It can render a realistic projection of the sky in real-time and any time in the past or the future, with relatively good accuracy. And the problem was just caused by their failure to understand and to create the correct model. If it produces the same result as the actual observation, then they have nothing to complain about.
We can ask them the time of the event and the observer’s location, then use Stellarium or a similar app to simulate the event. They would incorrectly proclaim it as “evidence” of a flat, stationary Earth. Flat-Earthers like to mention an astronomical event or a specific celestial geometry and insist it cannot possibly occur if Earth is a rotating sphere orbiting the sun.
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