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Osculate information


In mathematics, osculate, meaning to touch (from the Latin osculum meaning kiss), may refer to:

  • osculant, an invariant of hypersurfaces
  • osculating circle
  • osculating curve
  • osculating plane
  • osculating orbit
  • osculating sphere

The obsolete Quinarian system of biological classification attempted to group creatures into circles which could touch or overlap with adjacent circles, a phenomenon called 'osculation'.

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Osculate

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osculant, an invariant of hypersurfaces osculating circle osculating curve osculating plane osculating orbit osculating sphere The obsolete Quinarian system...

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Osculating orbit

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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...

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Osculating circle

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An osculating circle is a circle that best approximates the curvature of a curve at a specific point. It is tangent to the curve at that point and has...

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Osculating plane

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In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at...

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Osculating curve

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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. That...

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Curvature

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curvature at a point of a differentiable curve is the curvature of its osculating circle — that is, the circle that best approximates the curve near this...

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Figure of the Earth

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approximation to the ellipsoid in the vicinity of a given point is the Earth's osculating sphere. Its radius equals Earth's Gaussian radius of curvature, and its...

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Orbital elements

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real trajectories can be modeled as a sequence of Keplerian orbits that osculate ("kiss" or touch) the real trajectory. They can also be described by the...

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Escape velocity

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Horseshoe Hyperbolic trajectory Inclined / Non-inclined Kepler Lagrange point Osculating Parabolic trajectory Parking Prograde / Retrograde Synchronous semi sub...

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Lagrange point

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Horseshoe Hyperbolic trajectory Inclined / Non-inclined Kepler Lagrange point Osculating Parabolic trajectory Parking Prograde / Retrograde Synchronous semi sub...

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Astrological symbols

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variants of the Black Moon include replacing the mean orbit with a "true" osculating orbit or with an interpolated orbit; charting the empty focus of the Moon's...

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Neptune

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Neptune barycentre and Solar System barycentre. These are the instantaneous osculating values at the precise J2000 epoch. Barycentre quantities are given because...

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Sphere

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cyclides both sheets form curves. * For the sphere the center of every osculating circle is at the center of the sphere and the focal surface forms a single...

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Euler spiral

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depicting evolution of a Cornu spiral with the tangential circle with the same radius of curvature as at its tip, also known as an osculating circle....

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Apsis

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points respectively of a body's direct orbit around the Sun. Comparing osculating elements at a specific epoch to effectively those at a different epoch...

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Orbit

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Horseshoe Hyperbolic trajectory Inclined / Non-inclined Kepler Lagrange point Osculating Parabolic trajectory Parking Prograde / Retrograde Synchronous semi sub...

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Evolute

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fact leads to an easy proof of the Tait–Kneser theorem on nesting of osculating circles. The normals of the given curve at points of nonzero curvature...

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Moons of Jupiter

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Propulsion Laboratory: for the above reasons, they may strongly differ from osculating orbital elements provided by other sources. Otherwise, recently-discovered...

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Torsion of a curve

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the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken together, the curvature and the torsion of a space curve...

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Phase transition

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controversial, as it seems to require two sheets of the Gibbs free energy to osculate exactly, which is so unlikely as to never occur in practice. Cornelis Gorter...

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Comet

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leave the Solar System. For example, Comet McNaught had a heliocentric osculating eccentricity of 1.000019 near its perihelion passage epoch in January...

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Celestial mechanics

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the parameters needed to specify a Newtonian two-body orbit uniquely. Osculating orbit is the temporary Keplerian orbit about a central body that an object...

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