MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS

MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS

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  p...

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Bibliographic Details
Main Author: O. A. Bobrov
Format: Article
Language:English
Published: Odessa I. I. Mechnykov National University 2014-10-01
Series:Odessa Astronomical Publications
Subjects:
stars: binary
celestial mechanics
solar system
asteroids
Online Access:http://oap.onu.edu.ua/article/view/80927
Description
Summary: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.
ISSN:1810-4215

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