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.
Écris l'équation de l'hyperbole rectangulaire passant par et d'asymptotes se croisant en .