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Study on the training model of football movement trajectory drop point based on fractional differential equation

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22 nov. 2021
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Fig. 1

Schematic diagram of three different initial angular velocities (the take-off velocity is also V0).
Schematic diagram of three different initial angular velocities (the take-off velocity is also V0).

Fig. 2

Projection of the football track in the horizontal plane under three conditions: no rotation Ω0 = 0; The solid line: 0 = 2−2+16 rad/s; the short line: 0 = 13+0+0 rad/s.
Projection of the football track in the horizontal plane under three conditions: no rotation Ω0 = 0; The solid line: 0 = 2−2+16 rad/s; the short line: 0 = 13+0+0 rad/s.

Fig. 3

Projection fine solid line of football trajectory in Yoz plane under three conditions: outgoing direction; Long line: no rotation Ω0 = 0; Bold line: 0 = 2−2+16 rad/s Short line: 0 = 13+0+0 rad/s.
Projection fine solid line of football trajectory in Yoz plane under three conditions: outgoing direction; Long line: no rotation Ω0 = 0; Bold line: 0 = 2−2+16 rad/s Short line: 0 = 13+0+0 rad/s.