Abstract
It is shown that the necessary condition for the correct statement of the inverse trajectory problem in measuring the linear velocity vector of a material point in the gravitational field is the nondegeneracy of the matrix, i.e., the Hessian of the field potential function.
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References
A. F. Ioffe, Fundamental Ideas of Modern Physics (GITTL, Leningrad, 1949).
A. Yu. Ishlinskii, Classical Mechanics and Inertial Forces (Nauka, Moscow, 1987).
R. Kalman, P. Falb, and M. Arbib, Topics on Mathematical System Theory (McGraw-Hill, New York, 1969; Mir, Moscow, 1971).
V. D. Andreev, Theory of Inertial Navigation: Correcting Systems (Nauka, Moscow, 1967).
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 73, No. 9, 2003, pp. 130–131.
Original Russian Text Copyright © 2003 by Devyatisilny.
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Devyatisilny, A.S. Interpretation of velocity measurements as indirect in the trajectory finding problem. Tech. Phys. 48, 1209–1210 (2003). https://doi.org/10.1134/1.1611910
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DOI: https://doi.org/10.1134/1.1611910