\begin{tikzpicture}
\tkzDefPoint(0,0){0}
\tkzDefPoint(2,0){A}
\tkzDefPoint(-2,0){B}
\tkzDefPoint(230:.5){p}
\tkzDefPoint(30:.6){q}
\tkzDefPoint(145:2){ca}
\tkzDefPoint(325:2){c}
\tkzDefPoint(60:2){da}
\tkzDefPoint(240:2){d}
\tkzDrawCircle[solid,color=brown](0,A)
\tkzLabelPoints(p,q,c)
\tkzLabelPoints[below](d)
\draw[dashed,thick,->-=.6] (p) parabola (c);
\draw[dashed,thick,->-=.3] (ca) parabola (d);
\draw[dashed,thick,->-=.3] (da) parabola (q);
\draw (ca) node[above]{$c_a$};
\draw (da) node[above]{$d_a$};
\draw[thick,->](89:2)--(90:2);
\draw[thick,->](269:2)--(270:2);
\tkzDrawPoints[size=8,fill=red](p,q)
\tkzDrawPoints[size=6](A,B)
\end{tikzpicture}