Motion around a monopole + ring system - I. Stability of equatorial circular orbits versus regularity of three-dimensional motion
We study the motion of test particles around a centre of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan and Morgan discs. We deal with two kinds of bounded orbits: (i) equatorial circular orbits and (ii) general...
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| Veröffentlicht in: | Monthly notices of the Royal Astronomical Society 2011-07, Vol.414 (4), p.3105-3116 |
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| container_title | Monthly notices of the Royal Astronomical Society |
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| creator | Ramos-Caro, Javier Pedraza, Juan F. Letelier, Patricio S. |
| description | We study the motion of test particles around a centre of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan and Morgan discs. We deal with two kinds of bounded orbits: (i) equatorial circular orbits and (ii) general three-dimensional orbits. The first case provides a method to perform a linear stability analysis of these structures by studying the behaviour of vertical and epicyclic frequencies as functions of the mass ratio, the size of the ring and/or the quadrupolar deformation. In the second case, we study the influence of these parameters in the regularity or chaoticity of motion. We find that there is a close connection between linear stability (or instability) of equatorial circular orbits and regularity (or chaoticity) of the three-dimensional motion. |
| doi_str_mv | 10.1111/j.1365-2966.2011.18618.x |
| format | Article |
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Stability of equatorial circular orbits versus regularity of three-dimensional motion</atitle><jtitle>Monthly notices of the Royal Astronomical Society</jtitle><stitle>Monthly Notices of the Royal Astronomical Society</stitle><date>2011-07-11</date><risdate>2011</risdate><volume>414</volume><issue>4</issue><spage>3105</spage><epage>3116</epage><pages>3105-3116</pages><issn>0035-8711</issn><eissn>1365-2966</eissn><coden>MNRAA4</coden><abstract>We study the motion of test particles around a centre of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan and Morgan discs. We deal with two kinds of bounded orbits: (i) equatorial circular orbits and (ii) general three-dimensional orbits. The first case provides a method to perform a linear stability analysis of these structures by studying the behaviour of vertical and epicyclic frequencies as functions of the mass ratio, the size of the ring and/or the quadrupolar deformation. In the second case, we study the influence of these parameters in the regularity or chaoticity of motion. We find that there is a close connection between linear stability (or instability) of equatorial circular orbits and regularity (or chaoticity) of the three-dimensional motion.</abstract><cop>Oxford, UK</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1111/j.1365-2966.2011.18618.x</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Monthly notices of the Royal Astronomical Society, 2011-07, Vol.414 (4), p.3105-3116 |
| issn | 0035-8711 1365-2966 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete; Oxford Journals Open Access Collection |
| subjects | Astronomy celestial mechanics chaos Earth, ocean, space Exact sciences and technology Orbits planets and satellites: rings Stars & galaxies |
| title | Motion around a monopole + ring system - I. Stability of equatorial circular orbits versus regularity of three-dimensional motion |
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