Double-Antiprism Central Configurations of the %$3n%$-Body Problem
Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Corbera, Montserrat [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Basel AG 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Qualitative theory of dynamical systems - Basel : Birkhäuser, 1999, 12(2012), 1 vom: 05. Mai, Seite 11-24 |
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| Übergeordnetes Werk: |
volume:12 ; year:2012 ; number:1 ; day:05 ; month:05 ; pages:11-24 |
| Links: |
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| DOI / URN: |
10.1007/s12346-012-0076-y |
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| Katalog-ID: |
SPR024954268 |
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| 100 | 1 | |a Corbera, Montserrat |e verfasserin |4 aut | |
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| 520 | |a Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. | ||
| 650 | 4 | |a Spatial central configurations |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -body problem |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Double-antiprism central configurations |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Llibre, Jaume |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Qualitative theory of dynamical systems |d Basel : Birkhäuser, 1999 |g 12(2012), 1 vom: 05. Mai, Seite 11-24 |w (DE-627)582026512 |w (DE-600)2457088-6 |x 1662-3592 |7 nnns |
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10.1007/s12346-012-0076-y doi (DE-627)SPR024954268 (SPR)s12346-012-0076-y-e DE-627 ger DE-627 rakwb eng Corbera, Montserrat verfasserin aut Double-Antiprism Central Configurations of the %$3n%$-Body Problem 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 Llibre, Jaume aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 12(2012), 1 vom: 05. Mai, Seite 11-24 (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:12 year:2012 number:1 day:05 month:05 pages:11-24 https://dx.doi.org/10.1007/s12346-012-0076-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2012 1 05 05 11-24 |
| spelling |
10.1007/s12346-012-0076-y doi (DE-627)SPR024954268 (SPR)s12346-012-0076-y-e DE-627 ger DE-627 rakwb eng Corbera, Montserrat verfasserin aut Double-Antiprism Central Configurations of the %$3n%$-Body Problem 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 Llibre, Jaume aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 12(2012), 1 vom: 05. Mai, Seite 11-24 (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:12 year:2012 number:1 day:05 month:05 pages:11-24 https://dx.doi.org/10.1007/s12346-012-0076-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2012 1 05 05 11-24 |
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10.1007/s12346-012-0076-y doi (DE-627)SPR024954268 (SPR)s12346-012-0076-y-e DE-627 ger DE-627 rakwb eng Corbera, Montserrat verfasserin aut Double-Antiprism Central Configurations of the %$3n%$-Body Problem 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 Llibre, Jaume aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 12(2012), 1 vom: 05. Mai, Seite 11-24 (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:12 year:2012 number:1 day:05 month:05 pages:11-24 https://dx.doi.org/10.1007/s12346-012-0076-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2012 1 05 05 11-24 |
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10.1007/s12346-012-0076-y doi (DE-627)SPR024954268 (SPR)s12346-012-0076-y-e DE-627 ger DE-627 rakwb eng Corbera, Montserrat verfasserin aut Double-Antiprism Central Configurations of the %$3n%$-Body Problem 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 Llibre, Jaume aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 12(2012), 1 vom: 05. Mai, Seite 11-24 (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:12 year:2012 number:1 day:05 month:05 pages:11-24 https://dx.doi.org/10.1007/s12346-012-0076-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2012 1 05 05 11-24 |
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10.1007/s12346-012-0076-y doi (DE-627)SPR024954268 (SPR)s12346-012-0076-y-e DE-627 ger DE-627 rakwb eng Corbera, Montserrat verfasserin aut Double-Antiprism Central Configurations of the %$3n%$-Body Problem 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Basel AG 2012 Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 Llibre, Jaume aut Enthalten in Qualitative theory of dynamical systems Basel : Birkhäuser, 1999 12(2012), 1 vom: 05. Mai, Seite 11-24 (DE-627)582026512 (DE-600)2457088-6 1662-3592 nnns volume:12 year:2012 number:1 day:05 month:05 pages:11-24 https://dx.doi.org/10.1007/s12346-012-0076-y lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 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_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 12 2012 1 05 05 11-24 |
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Enthalten in Qualitative theory of dynamical systems 12(2012), 1 vom: 05. Mai, Seite 11-24 volume:12 year:2012 number:1 day:05 month:05 pages:11-24 |
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Enthalten in Qualitative theory of dynamical systems 12(2012), 1 vom: 05. Mai, Seite 11-24 volume:12 year:2012 number:1 day:05 month:05 pages:11-24 |
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Corbera, Montserrat @@aut@@ Llibre, Jaume @@aut@@ |
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Corbera, Montserrat |
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Corbera, Montserrat misc Spatial central configurations misc -body problem misc Double-antiprism central configurations Double-Antiprism Central Configurations of the %$3n%$-Body Problem |
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Double-Antiprism Central Configurations of the %$3n%$-Body Problem Spatial central configurations (dpeaa)DE-He213 -body problem (dpeaa)DE-He213 Double-antiprism central configurations (dpeaa)DE-He213 |
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Corbera, Montserrat Llibre, Jaume |
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10.1007/s12346-012-0076-y |
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double-antiprism central configurations of the %$3n%$-body problem |
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Double-Antiprism Central Configurations of the %$3n%$-Body Problem |
| abstract |
Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. © Springer Basel AG 2012 |
| abstractGer |
Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. © Springer Basel AG 2012 |
| abstract_unstemmed |
Abstract In this paper we study numerically a new type of central configurations of the %$3n%$-body problem with equal masses which consist of three %$n%$-gons contained in three planes %$z=0%$ and %$z=\pm \beta \ne 0%$. The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. We will show the existence of central configurations of this type. © Springer Basel AG 2012 |
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Double-Antiprism Central Configurations of the %$3n%$-Body Problem |
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10.1007/s12346-012-0076-y |
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2024-07-04T02:58:43.359Z |
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The %$n%$-gon on %$z=0%$ is scaled by a factor %$\alpha %$ and it is rotated by an angle of %$\pi /n%$ with respect to the ones on %$z=\pm \beta %$. In this kind of configurations, the masses on the planes %$z=0%$ and %$z=\beta %$ are at the vertices of an antiprism with bases of different size. The same occurs with the masses on %$z=0%$ and %$z=-\beta %$. We call this kind of central configurations double-antiprism central configurations. 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