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Osculating orbit (inner, black) and perturbed orbit (red) In astronomy, and in particular in astrodynamics, the osculating orbit of an object in space at a given moment in time is the gravitational Kepler orbit (i.e. an elliptic or other conic one) that it would have around its central body if perturbations were absent. [1]
In mathematics, osculate, meaning to touch (from the Latin osculum meaning kiss), may refer to: osculant, an invariant of hypersurfaces; osculating circle; osculating curve ...
An undamped spring–mass system is an oscillatory system. Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states.
An osculating circle Osculating circles of the Archimedean spiral, nested by the Tait–Kneser theorem. "The spiral itself is not drawn: we see it as the locus of points where the circles are especially close to each other."
A space curve, Frenet–Serret frame, and the osculating plane (spanned by T and N). In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in such a way as to have a second order of contact at the point.
Osculatory" is used in some 19th-century sources, [6] and some claim that this refers to a pendant form, worn round the neck by the priest. This does not appear in most modern scholarship, though given a one-line entry by Oxford Art Online . [ 7 ]
A curve C containing a point P where the radius of curvature equals r, together with the tangent line and the osculating circle touching C at P. In differential geometry, an osculating curve is a plane curve from a given family that has the highest possible order of contact with another curve.
An animation showing a low eccentricity orbit (near-circle, in red), and a high eccentricity orbit (ellipse, in purple). In celestial mechanics, an orbit (also known as orbital revolution) is the curved trajectory of an object [1] such as the trajectory of a planet around a star, or of a natural satellite around a planet, or of an artificial satellite around an object or position in space such ...