Suppose that we model an object’s trajectory in the solar system by a hyperbolic path in the coordinate plane.
The -axis is a line of symmetry of this hyperbola.
The object enters in the direction of
and leaves in the direction . The sun is positioned at the origin and the object passes within
1 UA (astronomical unit) of the sun at its closest.
Using the asymptote’s equations, find the equation of the object’s path.
