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Calculation of Newton Potential of the Gravitating Configurationswith the Surface Close to the Spheroid by Symbolic andNumerical Methods
- Authors: Bespalko EV1, Mikheev CA1, Tsvetkov VP1, Tsyrulev AN1, Puzynin IV1
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Affiliations:
- Tver State University
- Issue: No 1 (2008)
- Pages: 28-42
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8488
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Abstract
of the Newton gravitational potential to the inner point in is obtained. An expression for
the potential in is obtained in the form of a polynomial of the coordinates by the program
prepared in the system of symbolic mathematics MAPLE, and by numerical calculations
based on the regularized analogue of the Newton method. A formula for the potential to the
outer point out is found by the quadrupole approximation.
About the authors
E V Bespalko
Tver State UniversityКафедра общей математики и математической физики; Тверской государственный университет; Tver State University
C A Mikheev
Tver State UniversityКафедра общей математики и математической физики; Тверской государственный университет; Tver State University
V P Tsvetkov
Tver State UniversityКафедра общей математики и математической физики; Тверской государственный университет; Tver State University
A N Tsyrulev
Tver State UniversityКафедра общей математики и математической физики; Тверской государственный университет; Tver State University
I V Puzynin
Tver State UniversityКафедра общей математики и математической физики; Тверской государственный университет; Tver State University
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