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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]
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]
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.
In mathematics, osculate, meaning to touch (from the Latin osculum meaning kiss), may refer to: osculant, an invariant of hypersurfaces; osculating circle; osculating curve ...
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 space curve; the vectors T, N, B; and the osculating plane spanned by T and N. In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space, or the geometric properties of the curve itself irrespective of any motion.
A modulated wave resulting from adding two sine waves of identical amplitude and nearly identical wavelength and frequency. A common situation resulting in an envelope function in both space x and time t is the superposition of two waves of almost the same wavelength and frequency: [2]