The Lagrange, Gibbs-Appell and Tzenoff functions of mechanical system relative to noninertial reference frame are constructed, the m-order relative velocity space is defined.

Selectivity obstacle_avoidance research based on relative speed

By using auxiliary triangle method,analytic result for the relative speed on four quadrants of the sphere and the computer program were brought out,then 3D curved faces were plotted to illustrate the speed distribution.

Based on the experimental data processed by the MATLAB language, the relative speed distribution curve and vectorgraph are plotted.

A car-following model with stochastically considering the relative velocity in a traffic flow;

The essential view is that the relative velocity of the burning gas directs at the rocket after the burning gas has ejected, rather than the rocket before the burning gas has ejected.

In this paper, we have deduced a conservation quantity in the velocity space from the Newton s second law for the position space, and also proved that there exists the conservation quantity in the rotational filed.

The variational principle in the velocity space for analytical mechanics is extended to the electromagnetic state space, and the variational principle for the electromagnetic state derived.

Firstly, moment of force is considered as the function of coordinate and velocity and time and concept of acceleration energy in velocity space were introduced.