Article or book title, author's surname, DOI

About new central configurations for newtonian 9-body problem

N.I. Zemtsova1

research article Pages: 41-44

  1. 1 к.ф.-м.н., ст. науч. сотрудник, Вычислительный центр им. А.А. Дородницына РАН (Москва)

Abstract

In this article the questions of existence of rhombus-like central configurations in a Newtonian problem of 9 bodies in sense of determination of A. Uintner [1] are researched.

Values of dynamic and geometrical parameters at which the central configurations are exact gomographical solutions of a Newtonian 9-body problem are defined. Obtained results stability conditions can be use in problems of stability and qualitative behavior of dynamical systems, in problems of celestial mechanics and in mathematical control theory.

How to cite

Земцова Н.И. Новые центральные конфигурации для ньютоновой модели 9-ти тел // Наукоемкие технологии. 2013. № 6. С. 41–44.

References

  1. Uintner A. Analiticheskie osnovy' nebesnoj mexaniki. M.: Mir. 1967.
  2. Grebenikov E.A., Kozak D., Jakubyak M. Metody' komp'yuternoj algebry' v probleme mnogix tel. M.: Izd-vo RUDN. 2002.
  3. D'yakonov V.P. Mathematica 4.1/4.2/5.0 v matematicheskix i nauchno-texnicheskix raschetax. M.: Izd-vo Solon. 2004.
  4. Bang D., Elmabsout B. Configurations polygonales en equilibre relative // C.R. Acad. Sci. Ser. Iib. 2001. V. 329. P. 243-248.