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...
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Autor*in:	Jae Woo Park [verfasserIn] Kyu Hong Choi [verfasserIn] Kyong Chol Chou [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	1985

Übergeordnetes Werk:	In: Journal of Astronomy and Space Sciences - Korean Space Science Society (KSSS), 2012, 2(1985), 1, Seite 19-33
Übergeordnetes Werk:	volume:2 ; year:1985 ; number:1 ; pages:19-33

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Katalog-ID:	DOAJ013034960

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520			\|a 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.
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allfields	(DE-627)DOAJ013034960 (DE-599)DOAJ7c2598a11fec4e18a751b3aa6b2e3f0d DE-627 ger DE-627 rakwb eng QB1-991 Jae Woo Park verfasserin aut Three Body Problem and Formation of Binary System 1985 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Astronomy Kyu Hong Choi verfasserin aut Kyong Chol Chou verfasserin aut In Journal of Astronomy and Space Sciences Korean Space Science Society (KSSS), 2012 2(1985), 1, Seite 19-33 (DE-627)62761471X (DE-600)2557343-3 20931409 nnns volume:2 year:1985 number:1 pages:19-33 https://doaj.org/article/7c2598a11fec4e18a751b3aa6b2e3f0d kostenfrei http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf kostenfrei https://doaj.org/toc/2093-5587 Journal toc kostenfrei https://doaj.org/toc/2093-1409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 1985 1 19-33
spelling	(DE-627)DOAJ013034960 (DE-599)DOAJ7c2598a11fec4e18a751b3aa6b2e3f0d DE-627 ger DE-627 rakwb eng QB1-991 Jae Woo Park verfasserin aut Three Body Problem and Formation of Binary System 1985 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Astronomy Kyu Hong Choi verfasserin aut Kyong Chol Chou verfasserin aut In Journal of Astronomy and Space Sciences Korean Space Science Society (KSSS), 2012 2(1985), 1, Seite 19-33 (DE-627)62761471X (DE-600)2557343-3 20931409 nnns volume:2 year:1985 number:1 pages:19-33 https://doaj.org/article/7c2598a11fec4e18a751b3aa6b2e3f0d kostenfrei http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf kostenfrei https://doaj.org/toc/2093-5587 Journal toc kostenfrei https://doaj.org/toc/2093-1409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 1985 1 19-33
allfields_unstemmed	(DE-627)DOAJ013034960 (DE-599)DOAJ7c2598a11fec4e18a751b3aa6b2e3f0d DE-627 ger DE-627 rakwb eng QB1-991 Jae Woo Park verfasserin aut Three Body Problem and Formation of Binary System 1985 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Astronomy Kyu Hong Choi verfasserin aut Kyong Chol Chou verfasserin aut In Journal of Astronomy and Space Sciences Korean Space Science Society (KSSS), 2012 2(1985), 1, Seite 19-33 (DE-627)62761471X (DE-600)2557343-3 20931409 nnns volume:2 year:1985 number:1 pages:19-33 https://doaj.org/article/7c2598a11fec4e18a751b3aa6b2e3f0d kostenfrei http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf kostenfrei https://doaj.org/toc/2093-5587 Journal toc kostenfrei https://doaj.org/toc/2093-1409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 1985 1 19-33
allfieldsGer	(DE-627)DOAJ013034960 (DE-599)DOAJ7c2598a11fec4e18a751b3aa6b2e3f0d DE-627 ger DE-627 rakwb eng QB1-991 Jae Woo Park verfasserin aut Three Body Problem and Formation of Binary System 1985 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Astronomy Kyu Hong Choi verfasserin aut Kyong Chol Chou verfasserin aut In Journal of Astronomy and Space Sciences Korean Space Science Society (KSSS), 2012 2(1985), 1, Seite 19-33 (DE-627)62761471X (DE-600)2557343-3 20931409 nnns volume:2 year:1985 number:1 pages:19-33 https://doaj.org/article/7c2598a11fec4e18a751b3aa6b2e3f0d kostenfrei http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf kostenfrei https://doaj.org/toc/2093-5587 Journal toc kostenfrei https://doaj.org/toc/2093-1409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 1985 1 19-33
allfieldsSound	(DE-627)DOAJ013034960 (DE-599)DOAJ7c2598a11fec4e18a751b3aa6b2e3f0d DE-627 ger DE-627 rakwb eng QB1-991 Jae Woo Park verfasserin aut Three Body Problem and Formation of Binary System 1985 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier 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. Astronomy Kyu Hong Choi verfasserin aut Kyong Chol Chou verfasserin aut In Journal of Astronomy and Space Sciences Korean Space Science Society (KSSS), 2012 2(1985), 1, Seite 19-33 (DE-627)62761471X (DE-600)2557343-3 20931409 nnns volume:2 year:1985 number:1 pages:19-33 https://doaj.org/article/7c2598a11fec4e18a751b3aa6b2e3f0d kostenfrei http://ocean.kisti.re.kr/downfile/volume/kosss/OJOOBS/1985/v2n1/OJOOBS_1985_v2n1_19.pdf kostenfrei https://doaj.org/toc/2093-5587 Journal toc kostenfrei https://doaj.org/toc/2093-1409 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2 1985 1 19-33
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author	Jae Woo Park
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title	Three Body Problem and Formation of Binary System
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title_auth	Three Body Problem and Formation of Binary System
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	Three Body Problem and Formation of Binary System
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