Osculating orbit

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In astronomy, and in particular in astrodynamics, the osculating orbit of an object in space is the gravitational Keplerian orbit about a central body that it would have if other perturbations were not present.

An osculating orbit and the object's position upon it are fully described by the six standard Keplerian orbital elements, which are easy to calculate as long as one knows the object's position and velocity relative to the central body. However, perturbations can cause the osculating elements to evolve, sometimes very quickly. In such cases, a more complex set of proper orbital elements may better describe the most important aspects of the orbit.

The word osculate derives from a Latin word meaning "to kiss". Its use in this context derives from the fact that, at any point in time, an object's osculating orbit is precisely tangent to ("kissing") its actual orbit, with the tangent point being the object's location.

Possible perturbations that could cause an object's osculating orbit to change include:

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