Concerning an analytical solution of some families of Kepler’s transcendental equation | Zendy

Slavica M. Perovich | Zendy; Martin Ćalasan | Zendy; Draško Kovač | Zendy; Ivana Tošić | Zendy

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Concerning an analytical solution of some families of Kepler’s transcendental equation

Author(s) -

Slavica M. Perovich,

Martin Ćalasan,

Draško Kovač,

Ivana Tošić

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4944836

Subject(s) - transcendental equation , short time fourier transform , mathematics , transcendental number , fourier transform , mathematical analysis , transcendental function , computer science , calculus (dental) , algorithm , numerical analysis , fourier analysis , medicine , dentistry

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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