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From a physics perspective you could point the 'scope at mu1 Sco. Whilst visually it is not a double (although mu2 is nice and close making a naked eye optical double mu1 Sco) mu1 Sco is an eclipsing binary of a period of about 1.45 days and is part of the Sco-Cen OB association that we (as in Sun) is travelling through at the moment. It is suspected it has only just arrived on the main sequence and it is unusual in the sense that the secondary (the lighter mass star) is physically larger just filling its Roche Lobe. One star weighs in at around 8.5 solar masses, the other 5.3 and the semi-major axis of the circular orbit is 8.5 million kilometres. The system may have just undergone mass transfer.
Lots of physics that could be discussed.
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