Averaging on the motion of a fast revolving body. Application to the stability study of a planetary system
Exploring the global dynamics of a planetary system involves computing integrations for an entire subset of its parameter space. This becomes time-consuming in presence of a planet close to the central star, and in practice this planet will be very often omitted. We derive for this problem an averag...
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| Veröffentlicht in: | Celestial mechanics and dynamical astronomy 2009-07, Vol.104 (3), p.291-306 |
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| container_title | Celestial mechanics and dynamical astronomy |
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| creator | Farago, François Laskar, Jacques Couetdic, Jocelyn |
| description | Exploring the global dynamics of a planetary system involves computing integrations for an entire subset of its parameter space. This becomes time-consuming in presence of a planet close to the central star, and in practice this planet will be very often omitted. We derive for this problem an averaged Hamiltonian and the associated equations of motion that allow us to include the average interaction of the fast planet. We demonstrate the application of these equations in the case of the
μ
Arae system where the ratio of the two fastest periods exceeds 30. In this case, the effect of the inner planet is limited because the planet’s mass is one order of magnitude below the other planetary masses. When the inner planet is massive, considering its averaged interaction with the rest of the system becomes even more crucial. |
| doi_str_mv | 10.1007/s10569-009-9209-2 |
| format | Article |
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μ
Arae system where the ratio of the two fastest periods exceeds 30. In this case, the effect of the inner planet is limited because the planet’s mass is one order of magnitude below the other planetary masses. When the inner planet is massive, considering its averaged interaction with the rest of the system becomes even more crucial.</description><identifier>ISSN: 0923-2958</identifier><identifier>EISSN: 1572-9478</identifier><identifier>DOI: 10.1007/s10569-009-9209-2</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Aerospace Technology and Astronautics ; Astrophysics ; Astrophysics and Astroparticles ; Classical Mechanics ; Dynamical Systems and Ergodic Theory ; Geophysics/Geodesy ; Mathematical analysis ; Original Article ; Physics ; Physics and Astronomy ; Planets ; Studies</subject><ispartof>Celestial mechanics and dynamical astronomy, 2009-07, Vol.104 (3), p.291-306</ispartof><rights>Springer Science+Business Media B.V. 2009</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c411t-4164e25a4be8f2f9182e0b028500fd856d1333860e21db2782348a0126d5bd983</citedby><cites>FETCH-LOGICAL-c411t-4164e25a4be8f2f9182e0b028500fd856d1333860e21db2782348a0126d5bd983</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10569-009-9209-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10569-009-9209-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03786489$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Farago, François</creatorcontrib><creatorcontrib>Laskar, Jacques</creatorcontrib><creatorcontrib>Couetdic, Jocelyn</creatorcontrib><title>Averaging on the motion of a fast revolving body. Application to the stability study of a planetary system</title><title>Celestial mechanics and dynamical astronomy</title><addtitle>Celest Mech Dyn Astr</addtitle><description>Exploring the global dynamics of a planetary system involves computing integrations for an entire subset of its parameter space. This becomes time-consuming in presence of a planet close to the central star, and in practice this planet will be very often omitted. We derive for this problem an averaged Hamiltonian and the associated equations of motion that allow us to include the average interaction of the fast planet. We demonstrate the application of these equations in the case of the
μ
Arae system where the ratio of the two fastest periods exceeds 30. In this case, the effect of the inner planet is limited because the planet’s mass is one order of magnitude below the other planetary masses. 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μ
Arae system where the ratio of the two fastest periods exceeds 30. In this case, the effect of the inner planet is limited because the planet’s mass is one order of magnitude below the other planetary masses. When the inner planet is massive, considering its averaged interaction with the rest of the system becomes even more crucial.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10569-009-9209-2</doi><tpages>16</tpages></addata></record> |
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| subjects | Aerospace Technology and Astronautics Astrophysics Astrophysics and Astroparticles Classical Mechanics Dynamical Systems and Ergodic Theory Geophysics/Geodesy Mathematical analysis Original Article Physics Physics and Astronomy Planets Studies |
| title | Averaging on the motion of a fast revolving body. Application to the stability study of a planetary system |
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