Convex but not Strictly Convex Central Configurations
Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spa...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Fernandes, Antonio Carlos [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamics and differential equations - Springer US, 1989, 30(2017), 4 vom: 19. Mai, Seite 1427-1438 |
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| Übergeordnetes Werk: |
volume:30 ; year:2017 ; number:4 ; day:19 ; month:05 ; pages:1427-1438 |
| Links: |
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| DOI / URN: |
10.1007/s10884-017-9596-0 |
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OLC206346166X |
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| 520 | |a Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. | ||
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10.1007/s10884-017-9596-0 doi (DE-627)OLC206346166X (DE-He213)s10884-017-9596-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Fernandes, Antonio Carlos verfasserin aut Convex but not Strictly Convex Central Configurations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. Central configuration -body problem Convex central configuration Stacked central configuration Garcia, Braulio Augusto aut Mello, Luis Fernando aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2017), 4 vom: 19. Mai, Seite 1427-1438 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2017 number:4 day:19 month:05 pages:1427-1438 https://doi.org/10.1007/s10884-017-9596-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4126 AR 30 2017 4 19 05 1427-1438 |
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10.1007/s10884-017-9596-0 doi (DE-627)OLC206346166X (DE-He213)s10884-017-9596-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Fernandes, Antonio Carlos verfasserin aut Convex but not Strictly Convex Central Configurations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. Central configuration -body problem Convex central configuration Stacked central configuration Garcia, Braulio Augusto aut Mello, Luis Fernando aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2017), 4 vom: 19. Mai, Seite 1427-1438 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2017 number:4 day:19 month:05 pages:1427-1438 https://doi.org/10.1007/s10884-017-9596-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4126 AR 30 2017 4 19 05 1427-1438 |
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10.1007/s10884-017-9596-0 doi (DE-627)OLC206346166X (DE-He213)s10884-017-9596-0-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Fernandes, Antonio Carlos verfasserin aut Convex but not Strictly Convex Central Configurations 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2017 Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. Central configuration -body problem Convex central configuration Stacked central configuration Garcia, Braulio Augusto aut Mello, Luis Fernando aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2017), 4 vom: 19. Mai, Seite 1427-1438 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2017 number:4 day:19 month:05 pages:1427-1438 https://doi.org/10.1007/s10884-017-9596-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 GBV_ILN_4126 AR 30 2017 4 19 05 1427-1438 |
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Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. © Springer Science+Business Media New York 2017 |
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Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. © Springer Science+Business Media New York 2017 |
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Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. In this setting we prove that the cube is the unique regular polyhedron such that this construction leads to a convex central configuration which is not strictly convex. © Springer Science+Business Media New York 2017 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC206346166X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503135851.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2017 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10884-017-9596-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC206346166X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10884-017-9596-0-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fernandes, Antonio Carlos</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Convex but not Strictly Convex Central Configurations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2017</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media New York 2017</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Central configurations of the n-body problem have been studied for more than 200 years since the pioneer works of Euler and Lagrange. In this article we study convex central configurations which are not strictly convex. We give explicit examples of such configurations in both planar and spatial n-body problems. Particularly, in the spatial case, we consider regular polyhedra with bodies of same mass m at the vertices and bodies of same mass M at the middle points of each edge. 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