Concerning an analytical solution of some families of Kepler’s transcendental equation
Source abstract
Abstract
The problem of finding an analytical solution of some families of Kepler transcendental equation is studied in some detail, by the Special Trans Functions Theory – STFT. Thus, the STFT mathematical approach in the form of STFT iterative methods with a novel analytical solutions are presented. Structure of the STFT solutions, numerical results and graphical simulations confirm the validity of the basic principle of the STFT. In addition, the obtained analytical results are compared with the calculated values of other analytical methods for alternative proving its significance. Undoubtedly, the proposed novel analytical approach implies qualitative improvement in comparison with conventional numerical and analytical methods.
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Research context
OpenAlex topics: Galaxies: Formation, Evolution, Phenomena · Experimental and Theoretical Physics Studies · Advanced Thermodynamics and Statistical Mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
University of Montenegro 1 Faculty of Maritime Studies, , Kotor, 85330, Montenegro
University of Montenegro 2 Department of Electrical Engineering, , Podgorica, 81000, Montenegro
University of Belgrade 3 Faculty of Physics, , Belgrade, 11000, Serbia
Funding
Ministry of Science of Montenegro
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