A blessed Nativity / Theophany season to all!
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You'll get different answers to this question depending on who you ask. One way is to find a copy of the Hours and Typika (you can find the variable portions at various sites like antiochian.org or fr whiteford's site, which also has online copies of the various services and Typika, heading to bed soon or I'd look up the exact links). There's also, IIRC, a certain amount of Jesus Prayer recommended for each missed service that has been handed down from the monasteries- again, if I recall correctly its somewhere in the neighborhood of a thousand.
I've been missing a LOT of Liturgies and other services lately due to my health. I find it helpful to pray the Matins (Orthos), Liturgy and Vespers when these services are normally held. I have the Antiochian Service Book - though I think it probably takes me longer than if I were actually there - I have this sense of being one with my church family - and I don't get so dried out.
This is a suggestion, only - though, I don't know what your priest would recommend. It may be wiser, since he knows you, to ask him to suggest what you might do when you are unable to get to Liturgy.
When we were still just a struggling little misson church with no Priest we would always get together on Sunday morning for Reader's Typika.
So on the Sunday mornings that I am at work I always rread that service.