Perturbing force due to third bodies is a non-conservative force.

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Perturbations topics include: Perturbations, third body perturbations, perturbations due to earth’s oblateness and atmospheric drag. A perturbation is a disturbance in the motion or orbit of a celestial body. Perturbations can affect the size, shape, or position of a heavenly body's orbit over long periods of time.  The study of perturbations began with the first attempts to predict planetary motions in the sky. Isaac Newton applied his laws of motion and of gravitation to the first analysis of perturbations.  Perturbations are variations in orbital parameters. For example, the Sun's... Show more

Perturbing force due to third bodies is a non-conservative force.