hodograph

/hod-uh-graf, -grahf/US // ˈhɒd əˌgræf, -ˌgrɑf //UK // (ˈhɒdəˌɡrɑːf, -ɡræf) //

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Definitions

n.名词 noun

1
Mathematics, Mechanics.
- : the figure described by the extremity of a vector that has a fixed origin and a position vector equal to the velocity of a moving particle.

For applications of the hodograph to the solution of kinematical problems see Mechanics.
Thus for a circular orbit with the centre of force at an excentric point, the hodograph is a conic with the pole as focus.
The annexed fig. 70 exhibits the various cases, with the hodograph in its proper orientation.
In the motion of a projectile under gravity the hodograph is a vertical line described with constant velocity.
The pole O of the hodograph is inside on or outside the circle, according as the orbit is an ellipse, parabola or hyperbola.