Hyperbolic trajectory
In astrodynamics, a hyperbolic trajectory (which is also an escape trajectory) refers to an object (such as an asteroid) which follows a path similar to a hyperbola around a central object. This motion follows Kepler's Laws. A hyperbolic trajectory occurs when the eccentricity of its orbit is greater than 1.
Other types of motion in astronomy include circular orbit, elliptical orbit, and parabolic trajectory.
Hyperbolic Trajectory Media
Hyperbolic trajectories followed by objects approaching central object (small dot) with same hyperbolic excess velocity (and semi-major axis (=1)) and from same direction but with different impact parameters and eccentricities. The yellow line indeed passes around the central dot, approaching it closely.
