Since the orbits of the planets are ellipses, let us review a few basic properties of ellipses.
1. For an ellipse there are
two points called foci (singular: focus) such that the
sum of the distances to the foci from any point on the ellipse is a constant.
In terms of the diagram shown to the left,
with "x" marking the location of the foci, we
have the equation
a + b = constant
that defines the ellipse in terms of the distances a and b.