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We propose a Lema\^{i}tre-Tolman-Bondi system mimicking a two-body system toaddress the problem of the cosmological expansion versus local dynamics. Thissystem is strongly bound but participates in the cosmic expansion and isexactly comoving with the cosmic substratum.

Cosmological expansion and local systems: a Lema\^{i}tre-Tolman-Bondi model