\begin{array}{l}
\displaystyle
r'=r+\frac{\displaystyle\frac{rV}{c^2(1+\sqrt{1-\frac{V^2}{c^2}})}-t}{\sqrt{1-\frac{V^2}{c^2}}}V,
\vspace{0.5em}\\
\displaystyle
t'=\frac{\displaystyle t-\frac{rV}{c^2}}{\sqrt{1-\frac{V^2}{c^2}}},
\end{array}