Laplace–Runge–Lenz vector

The Laplace–Runge–Lenz (LRL) vector is a fundamental concept in celestial mechanics and classical mechanics, particularly in the study of central force problems, such as the motion of planets and satellites around a central body (like the Sun). ### Definition The LRL vector \( \mathbf{A} \) is defined in the context of the motion of a particle under a central force, such as gravity.