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3 Body Question

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It's highly improbable, but i'm thinking of a binary star system wherein both stars are identical in all properties,( size, mass etc. ), but just not near enough to cause each other any gravitational disturbance or exchange of matter, and a planet is situated exactly at the barycenter of the two stars and , so, in effect, the stars are orbiting the planet ( sorry Copernicus! ). Would that planet be completely immobile in space and/or affected in other ways by the gravity of those stars?

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Question answered. Thank you, Strange. ( And Mr. Lagrange! ).

Edited by goldglow

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technically I think it was Count Lagrange - Napoleon made him a comte de l’Empire

 

Ha,ha! Merci beaucoup!

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