Celestial body could to return tho the star for another perihelium?

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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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Thanks.
 
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DaveC426913
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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.
 

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