**Ellipse**- the shape of a "bound" orbit, generated by a plane intersecting the cone such as to create a circuit.- circle - special case of an ellipse, generated if the plane is perpendicular to the axis of the cone.
**Hyperbola**- a curve an object follows if passing another object fast enough to continue away from it, generated by a plane that intersects a cone forming an infinite, "open" curve.- parabola - similar to a hyperbola: the shape of the curve if the passing object is moving exactly at the other object's escape velocity; the shape generated if the intersecting plane is parallel to a straight line along the cone from its point.
Points and lines are also special cases, which correspond to two objects attached by gravity, and to an object dropping straight into another. mathematics,orbits,geometry)Referenced by:
Keplerian Orbit |