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What you are probably worried about is illustrated in the following example:
Lets have a close binary system, orbited, by the third component say 10x further, and them 4th component, again 10x further.
But, the gravity centre for the first pair is calculated by simple "lever" math.. Then you use this Centre (which is now a single spot in space with combined mass of two components), and calculate the nex tcentre of mass with the 3rd component.. and so on.
No need for time here.
The time is needed to take into consideration only in relativistic cases, where gravity waves are emitted and where, indeed things are not simple.. But Dr A, took care of this :-)
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