Determination of the position of the common center of mass of the jumper's body in length in the repulsion phase by its visible points

Relevance. Calculating the coordinates of the total center of mass of a long jumper is a time-consuming procedure, which makes it difficult to conduct research with a large number of participants. This, in turn, does not allow tracking some trends in repulsion technique indicators for large samples, reduces the validity of the conclusions of the relevant studies. In this regard, the purpose of the study was to calculate the equations of coordinates of the common center of mass of the body of the long jumper at the key moments of the repulsion phase according to the coordinates of the visible points of the athlete's body, the position of which is most closely related to the position of the CMT. Research methods. A high-speed video recording (240 Hz) of the competitive activities of 16 long jumpers at the 2021 Southern Federal District Indoor Athletics Championships and Championships was conducted (age 19.8 ± 3.4 years, official result 6.82 ± 0.53 m). Two-dimensional video analysis was carried out using the SkillSpector program. Correlation analysis was used to determine the closeness of the relationships between the coordinates of the visible points of the athlete's body and the CMT, regression analysis was used to calculate equations that allow determining the coordinates of the CMT from the coordinates of the visible points of the athlete's body. As a result of the study, eight equations were calculated that allow determining the coordinates of the total center of mass of the body of a long jumper at the moments of touching the support, vertical and separation from the support in the repulsion phase by the coordinates of the hip joint or chin.