The effective mass of dark energy is <0 and its gravitating mass is more than matter mass that results a strong effect at large scale as such, the cosmological expansion accelerate.
Antigravity exerted by dark energy affects a cosmic structure strongly at large scale. The dark energy background produces antigravity which is stronger than the matter gravity in the present Universe as a whole. This makes the cosmological expansion accelerated.
The cosmic antigravity can be stronger than gravity globally and also locally in the scale between 3.26 lightyear and 3.262×107 lightyear. The local weakfield dynamical effects of dark energy adequately described in term of Newtonian mechanics, and its effective gravitating density is negative, producing antigravity.
Gravity dominates at distances, while antigravity is stronger than gravity, therefore, a gravitationally bound system with its mass can exist only inside the zero gravity sphere of its radius [circumference of a sphere where, (antigravity - gravity = 0)], while dark energy is effective in the outer region of the domination of gravitating mass and practically have no effect within the strong domination of gravitating mass.
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