no, metaphorically a cat doesnt poo

Comet C1847 T1, "Maria Mitchell's Comet", was on a hyperbolic trajectory and is not expected to return to the inner solar system.

The basic ones are:

sine, cosine, tangent, cosecant, secant, cotangent;

Less common ones are:

arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent;

hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent;

hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.

An arc-hyperbolic function is an inverse hyperbolic function.

The path of a comet around the sun would depend on its mass, speed, and trajectory. It a comet enters the sun's gravitational field at the correct trajectory and speed, it would fall into a roughly circular orbit.