Invariant determining the regularity of the change of the level of physical working capacity of persons of elderly and senile age

ˑ: 

Astakhov A.V.
Kaluga State University named after K.E. Tsiolkovski (Kaluga, Russia).
Email: aastahov@list.ru

No. 10, pp. 83–84

Received: 26.06.2026 | Published: 04.10.2026

CC BY 4.0

Abstract

Objective of the study is to adapt the ‘123’ running test for persons of elderly (60-74 years) and senile (75-89 years) age. Methods and structure of the study. Amateur athletes and persons engaged in health-improving physical culture aged from 20 to 60 years participated in the approbation. The ‘123’ running test was adapted for persons of elderly and senile age. The participants of the experiment were offered to cover, along the track of a stadium or along any flat section of terrain, in 123 seconds (12.36×10), the following distances: for persons with a low level of working capacity, walking 220 m; for persons with an average level of working capacity, running 300 m; for persons with a high level of working capacity, running 400 m. Results and conclusions. As the basis for testing the level of physical working capacity of persons of elderly and senile age, the time interval (invariant) 12.36 was taken. This time interval is interconnected with the golden ratio and reflects the regularity of the change of the level of physical working capacity in a wide age range. It was shown that the proposed physical load in the test corresponds to the age-related capabilities of the subjects.

KEYWORDS

invariant, physical working capacity of a human, ‘123’ running test, heart rate.

References

  1. Absalyamov T.M., Gilyazova V.B., Lipsky E.V. et al. Nauchnoe obespechenie podgotovki plovtsov: pedagogicheskie i mediko-biologicheskie issledovaniya [Scientific support of the preparation of swimmers: pedagogical and medico-biological research]. under the general editorship of T.M. Absalyamov, T.S. Timakova. Moscow: Physical Culture and Sport, 1983. 191 p.
  2. Astakhov A.V. Ispolzovanie vremennykh intervalov v sportivnoy trenirovke [Using time intervals in sports training]. Teoriya i praktika fizicheskoy kultury. 2024. No. 4. Pp. 42-44.
  3. Astakhov A.V. Otsenka fizicheskoy rabotosposobnosti cheloveka s pomoshchyu begovogo testa «123» [Assessing the physical performance of a person using the "123" running test]. Teoriya i praktika fizicheskoy kultury. 2025. No. 10. Pp. 15-17.
  4. Kondakov N.I. Logicheskiy slovar-spravochnik [A logical dictionary-reference book]. Moscow: Nauka, 1975. Pp. 720.
  5. Likhachev O.V., Korshkov V.A. Upravlenie fizicheskoy nagruzkoy na osnove operativnogo kontrolya na rekreatsionnykh zanyatiyakh sportivnymi igrami [Management of physical load on the basis of operational control at recreational sports-game classes]. Teoriya i praktika fizicheskoy kultury. 2007. No. 10. Pp. 46-49.
  6. Mann D.L. Amer. Heart J. 1986. V. 111. No. 1. Pp. 108-115.