What would be the orbital period of the system

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If the Sun were orbited by a star of 1.8 solar masses at Jupiter's distance of 5.2 AU (or, more precisely, the Sun and the other star were orbiting each other 5.2 AU apart), what would be the orbital period of the system? (Hint:  Please, recall Kepler's 3rd law, as it is applied to any pair of orbiting bodies:  M1 +M2 = a3 / P2)

The semimajor axis of Pluto's orbit is almost 40 AU. The smallest parallax angle we can measure from orbiting observatories is about 0.001 arcsec. Suppose we use this technique to measure parallax from Pluto's orbit (over the course of half a Pluto "year"). What is the maximum distance we could measure  (in parsec)? 

Hint:  use the parallax formula, distance (in pc) = orbit (in AU) / parallax (in arcsec)

Reference no: EM132450473

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