What is the path called that allows a body to accelerate enough to escape gravity's pull?

The term describing the path that enables a body to accelerate sufficiently to break free from the pull of gravity is known as an escape trajectory. This trajectory is specifically designed to provide the required velocity to overcome gravitational forces exerted by a celestial body, such as Earth. When an object reaches this escape velocity along this path, it effectively moves away from the gravitational influence and does not return, allowing it to enter space.

In contrast, an orbit refers to a path in which a body moves around another body due to gravitational attraction; it does not allow the body to escape gravity but rather remain in a stable relationship. A stable path could imply consistent motion under specific forces but does not necessarily pertain to escaping gravity. A launch trajectory typically refers to the initial path taken when a body is propelled into space but does not specifically denote the necessary conditions for escaping gravitational influence, particularly once escape velocity is achieved. Thus, the escape trajectory specifically defines the requisite path and conditions for overcoming gravitational pull.