Making the real imaginary axis of hyperbola can easily make asymptotes, and then make hyperbola graphics. When the real axis and imaginary axis are equal in length, such hyperbola is called equilateral hyperbola, and the two asymptotes are perpendicular to each other. If the imaginary axis of a known hyperbola is taken as the real axis, the hyperbola whose real axis is the imaginary axis is called the * * * yoke hyperbola of the original hyperbola, and two hyperbolas which are * * * yoke hyperbolas have the same asymptote, and the four intersections are on the same circle.
Application of hyperbola
Mathematically, hyperbola is a smooth curve on a plane, which is defined by the equation of its geometric characteristics or the combination of its solutions. A hyperbola has two parts, called connected components or branches, which are mirror images of each other, similar to two infinite bows. Hyperbola is one of the three conic curves formed by the intersection of plane and double cone.
Hyperbola in many aspects is a curve representing the function {\ displaystylef (x) =1/x} f (x) =1/x in the Cartesian plane. As a path for future shadows.
Because the open orbit is different from the closed elliptical orbit, such as the orbit of a spacecraft in the process of planetary gravity-assisted swing, or more generally, any spacecraft that exceeds the escape speed of the nearest planet. As the path of a single comet (a comet that runs too fast to return to the solar system). As the scattering trajectory of subatomic particles, its function is repulsion rather than attraction, but the principle is the same.