Parametric Stability in a Sitnikov-Like Restricted P-Body Problem
Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and p...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Dias, Lúcia Brandão [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2016 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamics and differential equations - Springer US, 1989, 30(2016), 1 vom: 06. Mai, Seite 81-92 |
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| Übergeordnetes Werk: |
volume:30 ; year:2016 ; number:1 ; day:06 ; month:05 ; pages:81-92 |
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| DOI / URN: |
10.1007/s10884-016-9533-7 |
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OLC206346099X |
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| 520 | |a Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. | ||
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10.1007/s10884-016-9533-7 doi (DE-627)OLC206346099X (DE-He213)s10884-016-9533-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Dias, Lúcia Brandão verfasserin (orcid)0000-0002-2546-0658 aut Parametric Stability in a Sitnikov-Like Restricted P-Body Problem 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. Restricted problem Parametric stability Normal form Cabral, Hildeberto E. aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2016), 1 vom: 06. Mai, Seite 81-92 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2016 number:1 day:06 month:05 pages:81-92 https://doi.org/10.1007/s10884-016-9533-7 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 2016 1 06 05 81-92 |
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10.1007/s10884-016-9533-7 doi (DE-627)OLC206346099X (DE-He213)s10884-016-9533-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Dias, Lúcia Brandão verfasserin (orcid)0000-0002-2546-0658 aut Parametric Stability in a Sitnikov-Like Restricted P-Body Problem 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. Restricted problem Parametric stability Normal form Cabral, Hildeberto E. aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2016), 1 vom: 06. Mai, Seite 81-92 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2016 number:1 day:06 month:05 pages:81-92 https://doi.org/10.1007/s10884-016-9533-7 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 2016 1 06 05 81-92 |
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10.1007/s10884-016-9533-7 doi (DE-627)OLC206346099X (DE-He213)s10884-016-9533-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Dias, Lúcia Brandão verfasserin (orcid)0000-0002-2546-0658 aut Parametric Stability in a Sitnikov-Like Restricted P-Body Problem 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. Restricted problem Parametric stability Normal form Cabral, Hildeberto E. aut Enthalten in Journal of dynamics and differential equations Springer US, 1989 30(2016), 1 vom: 06. Mai, Seite 81-92 (DE-627)165666455 (DE-600)1008261-X (DE-576)023042591 1040-7294 nnns volume:30 year:2016 number:1 day:06 month:05 pages:81-92 https://doi.org/10.1007/s10884-016-9533-7 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 2016 1 06 05 81-92 |
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Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. © Springer Science+Business Media New York 2016 |
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Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. © Springer Science+Business Media New York 2016 |
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Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. We construct the boundary curves of the stability/instability regions in the plane of the parameters $$\mu $$ and $$\epsilon $$, which are the mass of each primary and the eccentricity of the elliptic orbit, respectively. © Springer Science+Business Media New York 2016 |
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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">OLC206346099X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503135849.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2016 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10884-016-9533-7</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC206346099X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10884-016-9533-7-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">Dias, Lúcia Brandão</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-2546-0658</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Parametric Stability in a Sitnikov-Like Restricted P-Body Problem</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</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 2016</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider the dynamics of an infinitesimal particle under the gravitational action of P primaries of equal masses. These move in an elliptic homographic solution of the P-body problem and the infinitesimal particle moves along the straight line perpendicular to their plane of motion and passing through the common focus of the ellipses. In this work we consider the parametric stability of the infinitesimal mass located at the focus of the ellipses. 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