Let \( x , y \in \mathbb{R}^3 \) be two points on the unit sphere, such that

\[ y = x + a \]

where \( a \in \mathbb{R}^3 \), and \( || a || \le 2 \). The locus of all points \( x \) that satisfy the above equation is a circle. What is the center of this circle?

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