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Parabolic orbits are not working #57

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nielsw2 opened this issue Dec 18, 2024 · 4 comments
Open

Parabolic orbits are not working #57

nielsw2 opened this issue Dec 18, 2024 · 4 comments
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@nielsw2
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nielsw2 commented Dec 18, 2024

It looks like parabolic orbits (e=1) are not working:

orbit = KerrGeoOrbit[0, 11, 1, 1]

returns a bunch of 1/0 errors.

@nielsw2 nielsw2 added the bug label Dec 18, 2024
@MvdMeent
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Is it just Schwarzschild?

@MvdMeent
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Actually, I don't think we ever implemented parabolic orbits, did we?

@MvdMeent
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Apparently, I started doing this at some point. I'll investigate.

@MvdMeent
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After looking at it, I remember why I previously abandoned this. Taking the e->1 limit can be done relatively easily for many parts of the solution. For example, the polar solution reverts to the trivial Schwarzschild solution. The however, the limit of the t solution appears non-trivial. My first attempt yielded a divergent answer. Probably the best route is to take the limit of the EOMs and then solve the resulting elliptic integrals.

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