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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 ...
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 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.
Let γ(s) be a regular parametric plane curve, where s is the arc length (the natural parameter).This determines the unit tangent vector T(s), the unit normal vector N(s), the signed curvature k(s) and the radius of curvature R(s) at each point for which s is composed: = ′ (), ′ = (), = | |.
There are newspaper articles dating back to at least the early 1900s advertising upcoming kissing booths and their "osculatory favors". [2] A 1918 article from The Garden Island newspaper states, "All the horors [sic] of war disappears for the man with a roll of bills at the Red Cross kissing booth -- that is 'till his wife sees him." [3]
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 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.