Three Body Problem and Formation of Binary System

The singularities of differential Newtonian equation of motion in three body problem cause the loss of accuracy and the considerable increase of the computer time. These singularities could be eliminated during the process of regularization to transform the independent variables and the coordinate o...

Full description

Bibliographic Details
Main Authors: Jae Woo Park, Kyu Hong Choi, Kyong Chol Chou
Format: Article
Language:English
Published: The Korean Space Science Society 1985-06-01
Series:Journal of Astronomy and Space Sciences
Online Access:http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf
_version_ 1827362188009930752
author Jae Woo Park
Kyu Hong Choi
Kyong Chol Chou
author_facet Jae Woo Park
Kyu Hong Choi
Kyong Chol Chou
author_sort Jae Woo Park
collection DOAJ
description The singularities of differential Newtonian equation of motion in three body problem cause the loss of accuracy and the considerable increase of the computer time. These singularities could be eliminated during the process of regularization to transform the independent variables and the coordinate of Newtonian equations of motion. In this study, we calculated the positions and velocities of three body along the time scale to find out the unique solution of regularized Newtonian equations of motion with the 5th order Runge-Kutta method by assuming the suitable initial velocities and positions. As the results of these calculations it is shown that the triple stellar system eventually distintegrated, two of them formed a binary, and the last one escaped from this system with a hyperbolic orbit. This may suggest one possible explanation for the binary formation.
first_indexed 2024-03-08T07:22:26Z
format Article
id doaj.art-7c2598a11fec4e18a751b3aa6b2e3f0d
institution Directory Open Access Journal
issn 2093-5587
2093-1409
language English
last_indexed 2024-03-08T07:22:26Z
publishDate 1985-06-01
publisher The Korean Space Science Society
record_format Article
series Journal of Astronomy and Space Sciences
spelling doaj.art-7c2598a11fec4e18a751b3aa6b2e3f0d2024-02-02T22:56:16ZengThe Korean Space Science SocietyJournal of Astronomy and Space Sciences2093-55872093-14091985-06-01211933Three Body Problem and Formation of Binary SystemJae Woo Park0Kyu Hong Choi1Kyong Chol Chou2Department of Astronomy & Meteorology, Yonsei University, Seoul 120-749Department of Astronomy & Meteorology, Yonsei University, Seoul 120-749Department of Space Science, Kyung Hee UniversityThe singularities of differential Newtonian equation of motion in three body problem cause the loss of accuracy and the considerable increase of the computer time. These singularities could be eliminated during the process of regularization to transform the independent variables and the coordinate of Newtonian equations of motion. In this study, we calculated the positions and velocities of three body along the time scale to find out the unique solution of regularized Newtonian equations of motion with the 5th order Runge-Kutta method by assuming the suitable initial velocities and positions. As the results of these calculations it is shown that the triple stellar system eventually distintegrated, two of them formed a binary, and the last one escaped from this system with a hyperbolic orbit. This may suggest one possible explanation for the binary formation.http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf
spellingShingle Jae Woo Park
Kyu Hong Choi
Kyong Chol Chou
Three Body Problem and Formation of Binary System
Journal of Astronomy and Space Sciences
title Three Body Problem and Formation of Binary System
title_full Three Body Problem and Formation of Binary System
title_fullStr Three Body Problem and Formation of Binary System
title_full_unstemmed Three Body Problem and Formation of Binary System
title_short Three Body Problem and Formation of Binary System
title_sort three body problem and formation of binary system
url http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf
work_keys_str_mv AT jaewoopark threebodyproblemandformationofbinarysystem
AT kyuhongchoi threebodyproblemandformationofbinarysystem
AT kyongcholchou threebodyproblemandformationofbinarysystem