Abstract
The replacement of indeterminate initial conditions by a boundary condition at the natural boundary of a central field F = -α/r2 makes it possible to find a minimum distance r0 near which a particle cannot spontaneously penetrate to the center of the field. This condition is extended to all particles by the introduction of the concept of the field-dynamical core. It is noted that the equipotenttal surface of the core is a rational natural energy reference system. A direct relationship is established between the distance r0 in a gravitational field and the mass of the central body; this relationship then determines the minimum angular momentum K0 for the motion of a particle.
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L. D. Landauand E. M. Lifshits, Mechanics, Addison-Wesley, New York (1960).
Yu. K. Gulak, Izv. VUZ. Fizika, this issue, p. 1346.
Yu. K. Gulak, Abstracts of Papers and Reports of the Scientific Conference of the Departments of the Institute [in Ukrainian], MP UkrSSR, Sumy (1966), p. 120.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 52–56, October, 1971.
The author is grateful to State Prize Laureate and member of the Soviet and International Commissions on Gravitation, Prof. D. D. Ivanenko, and the Director of the Astronomical Observatory of Kiev University, Prof. A. F. Bogorodskii, for their interest and advice.
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Gulak, Y.K. Field theory. Soviet Physics Journal 14, 1351–1354 (1971). https://doi.org/10.1007/BF00823876
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DOI: https://doi.org/10.1007/BF00823876