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A hodograph is a diagram that gives a vectorial visual representation of the movement of a body or a fluid. It is the locus of one end of a variable vector, with the other end fixed. [ 1 ] The position of any plotted data on such a diagram is proportional to the velocity of the moving particle. [ 2 ]
Shock polar in the pressure ratio-flow deflection angle plane for a Mach number of 1.8 and a specific heat ratio 1.4. The minimum angle, , which an oblique shock can have is the Mach angle = (/), where is the initial Mach number before the shock and the greatest angle corresponds to a normal shock.
In CAD area this is a drawback, because CAD systems use polynomials or rational curves. In order to get at least rational curves, the square root of the representation of the parallel curve has to be solvable. Such curves are called pythagorean hodograph curves and were investigated by R.T. Farouki. [14]
In differential geometry, especially the theory of space curves, the Darboux vector is the angular velocity vector of the Frenet frame of a space curve. [1] It is named after Gaston Darboux who discovered it. [2]
The longitude of the ascending node (bright green) as a part of a diagram of orbital parameters.. The longitude of the ascending node, also known as the right ascension of the ascending node, is one of the orbital elements used to specify the orbit of an object in space.
[4]: 289 Storm splitting becomes less pronounced as hodograph curvature increases, resulting in shorter-lived anticyclonic cells. [3] In extreme cases, where there is a strongly curving hodograph, the suppressed updraft will be so weak from the start, the splitting process will not be evident on radar, and a dominant cell will immediately be ...
On the momentum hodograph in the relevant section above, B is readily seen to connect the origin of momenta with the center of the circular hodograph, and to possess magnitude A/L. At perihelion, it points in the direction of the momentum. The vector B is denoted as "binormal" since it is perpendicular to both A and L. Similar to the LRL vector ...
The typical hodograph, plot of the wind versus altitude, associated with it shows a linear wind shear with altitude [3] The moderate vertical wind shear leads to the development of a non-symmetric surface convergence associated with the thunderstorm outflow, with the strongest convergence taking place on the downwind side from the storm's ...