## 4 Discussion  
The axial stability training program (ASTP) is a training method widely used to improve core strength and help develop distal limb strength [29]. The purpose of this study was to use 12 weeks of the ASTP to conduct a kinetic analysis of the lateral and vertical jumps of college basketball players and to determine the differences between the two types of jumps. The use of dual-track force measuring plates allowed for a clear understanding of the RFD of the left and the right foot, the relationship between force and time, the duration of passage, and the lateral jump distance. With the use of dual-track force plates, it was found that lateral and vertical jumps are of great significance in the assessment of athletic performance. First, this study used a 12-week ASTP intervention, which was found to be of great significance for training and evaluating the axial core and stabilizing the muscle groups of male college basketball players. The post-test data of lateral and vertical jumps in this study showed that the ASTP affected the activation of the abdominal and lower limb extensor muscles [30]. Moreover, the ASTP had a stabilizing effect on the muscles. This stability was produced by the activation of many highly coordinated muscles, as different jumping methods recruit different numbers of muscles [31]. A curve graph of the force plate results showed that the muscle strength of the participants' lower limbs increased, the force exerted on the ground by jumping with the left and the right foot increased, and the reaction force obtained by both feet could instantly maintain stability and allow for the next jump to be continued. This study found that the ASTP was more effective for single-footed jumps. The lower limb muscle strength performance in lateral jumping was found to be of great significance in potentially enhancing the stability of the participants. This result is similar to that in some of the literature [25; 26; 31]. Various test data were found to be correlated through a dynamic analysis of the force plate evaluation of lateral jumps; the distance of stable jumps; and the V-GRF, R-GRF, and T-PRF of lateral jumps. This research found that the best lateral jump occurred at about a 61-degree angle, which could also achieve the best distance. In addition, the higher the V-GRF of the lateral jump, the greater the T-PRF of the take-off foot, but the shorter the jump distance. There was a negative correlation between the two, and this result is supported [5; 32]. The \(\theta\) value of the lateral T-PRF angle in this study ranged from 60.7\({}^{\circ}\) to 68.6\({}^{\circ}\). Using the trigonometric function, it was found that the V-GRF output of all  
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{\(\mathbf{n}\)} & **Lateral Jump** & **Vertical Jump** & **Lateral Jump** & **Vertical Jump** & **Lateral Jump** & **Vertical Jump** \\ \cline{2-7}  & **GRF (N)** & **GRF (N)** & **Jump Distance** & **Jump Height** & **AVG. (\(\theta\))** & **(\(\theta\))** \\ \hline
1 & 1431 & 1614 & 1.45 & 0.489 & 65.1 & 90 \\
2 & 1644 & 1706 & 1.48 & 0.479 & 66.6 & 90 \\
3 & 1581 & 1663 & 1.46 & 0.506 & 66.8 & 90  
participants was greater than the lateral parallel force output, which provides the ideal ratio of vertical and lateral force generation; an angle closer to 60\({}^{\circ}\) helped to optimize jump distance, a result consistent with that of previous scholars' research [33]. This analysis showed that, when dribbling quickly and moving one foot quickly left and right, if the angle of the left and the right foot is quickly changed to a small angle, a large lateral movement can be achieved to get rid of the opponent. However, when the angle of the force of the jumping foot is larger, that is, when the angle is closer to 90\({}^{\circ}\), the take-off distance is smaller; this phenomenon is like that of a layup or grabbing a rebound. At this time, the distance to the left, right, or front is very small [34].