Methodology of determining of the transfer function of engagement kinematics of accelerations of an aircraft and its elliptic coordinates in alternative representation
https://doi.org/10.21122/2309-4923-2021-3-15-24
Abstract
In this work, simplified expressions have been obtained that describe the kinematics parameters of the aircraft movement and its accelerations. These expressions are needed to obtain an optimal linear control law in order to provide movement of the aircraft using the hyperbola guidance method with a time difference of arrival navigation system. The key feature of the hyperbola navigation method is the ability to reduce the number of navigation positions by one when the on-board navigation equipment operates in a passive mode, carrying out only the reception of navigation information, like consumers of satellite navigation information.
About the Author
V. V. Legkostup
«ALEVKURP» JSC
Belarus
Belarus
Legkostup Victor Valeryevich – stuff researcher
Minsk
References
1. Legkostup V. V., Markevich V. E. Methodology for determining the kinematic relationship between acceleration control aircraft and its elliptical coordinates for guidance problems based on differential rangefinder information // System Analysis and Applied Informatics. – 2021. – No. 1.
2. Korn G. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov / G. Korn, T. Korn. – M.: Nauka, 1970.
3. Hazewinkel, M. (Ed.), Encyclopaedia of Mathematics, Vol. 10 (Index), Kluwer, 1994 (ISBN:1–55608–009–3).
4. Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 657, 1953.
5. Alferov G. V. Metodicheskoye posobiye. Mekhanika v krivolineynykh koordinatakh. Sankt – Peterburg 2006.
6. Bowen R. M., and Wang C.-C. Introduction to Vectors and Tensors, Springer, New York, 1976.
7. Kun A.A, Luk’yanov V. F., Shaban S.A. Osnovy postroyeniya sistem upravleniya raketami. V 3-kh ch. – Minsk: Izdaniye akademii, 2001, 131 s.
8. Orlov Ye. V. Proyektirovaniye sistem teleupravleniya. – Izhevsk: Izdatel’skiy dom «Udmurtskiy universitet», 200. 272 s.
Review
For citations:
Legkostup V.V. Methodology of determining of the transfer function of engagement kinematics of accelerations of an aircraft and its elliptic coordinates in alternative representation. «System analysis and applied information science». 2021;(3):15-24. (In Russ.) https://doi.org/10.21122/2309-4923-2021-3-15-24
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