A note on the solvable model of cosmology in the Earth-related coordinate system

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As a note for paper [physics/0505035], this is to make it more clear how we can depend upon Einstein's theory of gravitation and two assumptions of the cosmological principle and perfect fluid, in the so-called Z-approximation, to construct a solvable model of cosmology in the Earth-related coordinate system. Hence, the cosmic acceleration becomes understandable.
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