2. The amount of "flattening" of the ellipse is termed the
eccentricity. Thus, in the following figure the ellipses become more
eccentric from left to right. A circle may be viewed as a special case of an
ellipse with zero eccentricity, while as the ellipse becomes more flattened the
eccentricity approaches one.
Thus, all ellipses have eccentricities lying between
zero and one.
The orbits of the planets are ellipses but the eccentricities are so small for
most of the planets that
they look circular at first glance. For most of the planets
one must measure the geometry carefully to
determine that they are not circles, but ellipses of small
eccentricity. Pluto and Mercury are exceptions: their orbits are sufficiently
eccentric that they can be seen by inspection to not be circles.