A hyperbola is a conic section that meets the condition that the eccentricity e>1. A hyperbola in polar coordinates has the form

In cartesian coordinates, a hyperbola centered on zero has the form

This describes a pair of symmetric hyperbolas and the asymptotes specified conveniently.

Another perspective of the formation of a pair of hyperbolas by sectioning the cone parallel to the axis of the cone.

Each of the conic sections can be described in terms of a semimajor axis a and an eccentricity e. Representative values for these parameters are shown along with the types of orbits which are associated with them.