hyperbolic orbit math question

ncc1701d

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just learning hyperbolic orbits. Can some expert explain what f means in this formula? I know eliptical orbits math but dont understand where f comes from with hyperbolic orbits. See image
 

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Thorsten

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f would seem to be the true anomaly of the orbit.
 

ncc1701d

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the diagram made me think that v (upsilon) was true anomaly
 
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