2014 December 02
originally posted on facebook

It seems clear in retrospect, but apparently the limiting factor that determines the size of the outer solar system is tidal effects due to the Milky Way. It turns out we can calculate the upper limit of the size of the solar system (that is, the distance to the L1 point of the sun and the Milky Way) knowing only the mass of the sun and the galactic year:

\text{distance} = \sqrt[3]{\frac {G M T^2} {12\pi^2}} \approx 260\,000 \text{ AU}.

Wikipedia

An interesting article on the oldest known star:

Wikipedia

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