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We investigate the possibility that the Sun could have been born in M67 bycarrying out $N$-body simulations of M67-like clusters in a time-varyingGalactic environment, and following the galactic orbits of stars that escapefrom them. We find that model clusters that occupy similar orbits to M67 todaycan be divided up into three groups. Hot clusters are born with a high initial$z$-velocity, depleted clusters are born on cold orbits but are destroyed byGMC encounters in the Galactic disc, and scattered clusters are born on coldorbits and survive with more than 1000 stars at an age of 4.6 Gyr. We find thatall cluster models in all three cluster groups have stellar escapers that arekinematicaly similar to the Sun. Hot clusters having the lowest such fraction$f_{\odot} = 0.06$ %, whilst depleted clusters have the highest fraction,$f_{\odot} = 6.61$ %. We calculate that clusters that are destroyed in theGalactic disc have a specific frequency of escapers that end up on solar-likeorbits that is $\sim$ 2 times that of escapers from clusters that survive theirjourney.

Stellar escapers from M67 can reach solar-like Galactic orbits