# Hodograph

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Related to Hodograph: hodograph method

## hodograph

[′häd·ə‚graf]
(physics)
The curve traced out in the course of time by the tip of a vector representing some physical quantity.
In particular, the path traced out by the velocity vector of a given particle.

## Hodograph

in mechanics, a curve that is a locus of the ends of a variable vector whose values at different moments of time are laid off from a fixed origin O (see Figure 1).

Figure 1. Construction of velocity hodograph

The concept of the hodograph was introduced by the English scientist W. Hamilton. The hodograph visually and geometrically represents the changes with time of a physical quantity, represented by a variable vector, and the rate of this change, which has the same direction as the tangent to the hodograph. For example, the velocity of a point is a quantity represented by the variable vector v. Plotting the values of vector v from the origin O at different moments of time, we derive the velocity hodograph. The quantity characterizing the rate of change in velocity at point M (that is, the acceleration w at point M) for any moment of time has the same direction as the tangent to the velocity hodograph at the corresponding point (M’).

S. M. TARG

References in periodicals archive ?
Therefore, using such a system, it is possible to compensate for the semimajor axis of the ellipse of the hodograph of the induction vector of the magnetic field and to obtain a sufficiently high screening efficiency for a weakly polarized MF.
Steady plane flows of an incompressible fluid of variable viscosity via Hodograph transformation method.
Sounding indices are calculated from interpolated RUC data using the Sounding and Hodograph Analysis and Research Program in Python (SHARPpy) software (Halbert et al.
3,c shown in the hodograph formed induction vector of the total magnetic field generated by power lines and compensating windings when the active screening system.
A theoretical calculation based on an upper bound analysis using the velocity hodograph [29] indicates that the level of uniform simple shear strain across the sample is 200% after one ECAE pass.
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