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- W4385339989 abstract "The article is devoted to the theoretical proof of the hypothesis of Prof. Hlystunov M. S. on stability positions, the study of metrological characteristics, including the calculation of the value of the period of free natural oscillations of a mathematical orbital pendulum. The design of such a pendulum is considered, which is a dumbbell with equal masses and with a weightless jumper, which freely rotates on the axis in the center of its masses on the jumper. It is shown that the differential equation solution of a pendulum free oscillations of placed on board a spacecraft in near-Earth space orbit or on the Earth's surface confirms the hypothesis that the pendulum has two equilibrium positions with the same frequency of natural oscillations. An important result of this study is the conclusion that the frequency of natural oscillations of the orbital pendulum does not depend on the length of the dumbbell and the magnitude of its masses. The article also gives a calculation of the natural oscillations period of the pendulum, for the case when the pendulum is located on the surface of the Earth, at ocean level. The article presents a drawing of such a pendulum with designations, which are later used in formulas for calculating the period of its own oscillations. In the process of research and calculations an unexpected result was obtained. The uniqueness of this result lies in the fact that the period of proper oscillations of the mathematical orbital pendulum with high accuracy is equal to one hour. In conclusion this article provides recommendations for further theoretical and experimental research." @default.
- W4385339989 created "2023-07-29" @default.
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- W4385339989 date "2023-01-01" @default.
- W4385339989 modified "2023-09-26" @default.
- W4385339989 title "The Free Oscillations Investigation of a Mathematical Orbital Pendulum" @default.
- W4385339989 cites W2509685747 @default.
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- W4385339989 doi "https://doi.org/10.1007/978-3-031-36960-5_54" @default.
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