Mutual solar-extrasolar orbital foci

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A satellite could theoretically share orbital foci with both our Sun and an extrasolar body like Proxima Centauri, but this scenario is highly improbable. The vast distance to Alpha Centauri means its gravitational influence on a satellite near our Sun is minimal compared to the Milky Way's overall gravitational effects. The discussion emphasizes the complexities of gravitational interactions in such a scenario. While the idea is intriguing, practical implications render it unlikely. Overall, the concept remains a fascinating theoretical exploration.
Loren Booda
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Can there exist a satellite which shares orbital foci with our Sun, and with the extrasolar likes of (e. g.) the Oort cloud - but in particular another star, say Proxima Centuri?
 
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Although theoretically possible, it is highly unlikely. Alpha Centauri is so far away that the mutual gravitational attraction with our sun is negligible compared to overall Milky Way effect.
 
Thanks, mathman, that makes sense.
 

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