The Kite & The Lemniscate

The BLUE kite is made two pairs of two fixed length segments. The BLUE dots are at the midpoints of the kite segments on which they lie.[br][br]One end of the dotted diagonal of the kite is fixed. The GREEN dot at the other end can be dragged along the circle on which it lies.[br][br]What will the paths of the BLUE dots be?
Adapted from an applet by Walerij Koschkin

Information: The Kite & The Lemniscate