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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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
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spelling doaj-286650e9567548b19f7d367c8bab232a2020-11-25T02:53:42ZengOdessa I. I. Mechnykov National UniversityOdessa Astronomical Publications1810-42152014-10-01271414210.18524/1810-4215.2014.27.8092780927MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTSO. A. Bobrov0Department of Astronomy, Odessa National UniversityIn 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.http://oap.onu.edu.ua/article/view/80927stars: binarycelestial mechanicssolar systemasteroids
collection DOAJ
language English
format Article
sources DOAJ
author O. A. Bobrov
spellingShingle O. A. Bobrov
MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
Odessa Astronomical Publications
stars: binary
celestial mechanics
solar system
asteroids
author_facet O. A. Bobrov
author_sort O. A. Bobrov
title MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
title_short MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
title_full MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
title_fullStr MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
title_full_unstemmed MODELLING OF MOTION OF BODIES NEAR TRIANGULAR LAGRANGIAN POINTS
title_sort modelling of motion of bodies near triangular lagrangian points
publisher Odessa I. I. Mechnykov National University
series Odessa Astronomical Publications
issn 1810-4215
publishDate 2014-10-01
description 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.
topic stars: binary
celestial mechanics
solar system
asteroids
url http://oap.onu.edu.ua/article/view/80927
work_keys_str_mv AT oabobrov modellingofmotionofbodiesneartriangularlagrangianpoints
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