MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS

O. A. Bobrov

Анотація


In this paper, we  consider  a  system  of  three bodies connected by gravity, two of which are of  comparable mass (the Sun and Jupiter), and the third is  negligible and  it  is located in one of the triangular Lagrange points (restricted 3 – body problem). We used  the equations of motion in a  planar  coordinate  system  that rotates  together with massive bodies. Several programs have been written in the programming environment Pascal ABC,  in order to build  the  trajectory of  a  small body,  to indicate the osculating orbit around a massive body,  to display equipotential surfaces


Ключові слова


Stars: binary; celestial mechanics; Solar system; asteroids

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Посилання


Andronov I.L.: 1991, Stroenie i Evoluciya Peremennykh

Zvyozd (in Russian), Odessa, 84 p.

Subbotin M.F.: 1968, Vvedenie v Teoreticheskuyu Astronomiyu (in Russian), Moscow, Nauka.




DOI: https://doi.org/10.18524/1810-4215.2014.27.80927

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