Calculation of Newton Potential of the Gravitating Configurationswith the Surface Close to the Spheroid by Symbolic andNumerical Methods

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Abstract

An exact analytical representation of the heterogeneous perturbed ellipsoidal configuration
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 University

Кафедра общей математики и математической физики; Тверской государственный университет; Tver State University

C A Mikheev

Tver State University

Кафедра общей математики и математической физики; Тверской государственный университет; Tver State University

V P Tsvetkov

Tver State University

Кафедра общей математики и математической физики; Тверской государственный университет; Tver State University

A N Tsyrulev

Tver State University

Кафедра общей математики и математической физики; Тверской государственный университет; Tver State University

I V Puzynin

Tver State University

Кафедра общей математики и математической физики; Тверской государственный университет; Tver State University

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Copyright (c) 2008 Беспалько Е.В., Михеев С.А., Цветков В.П., Цирулев А.Н., Пузынин И.В.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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