Can a hyperbolic orbit return to perihelion?

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Ignition
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If the orbit is an Hyperbola, the celestial body could to return tho the star for another perihelium?
 
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Ignition said:
If the orbit is an Hyperbola, the celestial body could to return tho the star for another perihelium?

No. A hyperbola is the path of an uncaptured body.