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Program Systems: Theory and Applications, 2018, Volume 9, Issue 4, Pages 293–305 (Mi ps331)  

Optimization Methods and Control Theory

About finding new methods and forms of solving the Euler–Lambert equation

M. N. Burdayev

Ailamazyan Program Systems Institute of Russian Academy of Sciences

Abstract: The article considers the possibility of using the true anomaly and eccentricity of the orbit as an independent variable in the iterative calculations of the parameters of the orbital motions. Analytical forms of single-valued solutions of the Lambert–Euler equation are developed in the functions of these variables for elliptic and for all types of orbits. (In Russian).

Key words and phrases: orbital motion, true anomaly, eccentricity of the orbit, flight equation, unique solutions of the Lambert–Euler equation.

Funding Agency Grant Number
Russian Foundation for Basic Research 18-07-00014_


DOI: https://doi.org/10.25209/2079-3316-2018-9-4-293-305

Full text: PDF file (1055 kB)
References: PDF file   HTML file

UDC: 629.7.05
MSC: Primary 70B10; Secondary 70B05, 70-08
Received: 30.10.2018
27.11.2018
Accepted: 18.12.2018

Citation: M. N. Burdayev, “About finding new methods and forms of solving the Euler–Lambert equation”, Program Systems: Theory and Applications, 9:4 (2018), 293–305

Citation in format AMSBIB
\Bibitem{Bur18}
\by M.~N.~Burdayev
\paper About finding new methods and forms of solving the Euler--Lambert equation
\jour Program Systems: Theory and Applications
\yr 2018
\vol 9
\issue 4
\pages 293--305
\mathnet{http://mi.mathnet.ru/ps331}
\crossref{https://doi.org/10.25209/2079-3316-2018-9-4-293-305}


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