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Article: A Numerical Method for Determining the Elements of Circumbinary Orbits and Its Application to Circumbinary Planets and the Satellites of Pluto-Charon
Title | A Numerical Method for Determining the Elements of Circumbinary Orbits and Its Application to Circumbinary Planets and the Satellites of Pluto-Charon |
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Authors | |
Keywords | Mercury (Planet) Libration Orbital Elements |
Issue Date | 2020 |
Publisher | American Astronomical Society, co-published with Institute of Physics Publishing, Inc. The Journal's web site is located at http://iopscience.iop.org/1538-3881 |
Citation | The Astronomical Journal, 2020, v. 159 n. 6, p. article no. 277 How to Cite? |
Abstract | Planets and satellites orbiting a binary system exist in the solar system and extrasolar planetary systems. Their orbits can be significantly different from Keplerian orbits, if they are close to the binary and the secondary-to-primary mass ratio is high. A proper description of a circumbinary orbit is in terms of the free eccentricity e free at the epicyclic frequency κ 0, forced eccentricity e forced at the mean motion n 0, and oscillations at higher frequencies forced by the non-axisymmetric components of the binary's potential. We show that accurate numerical values for the amplitudes and frequencies of these terms can be extracted from numerical orbit integrations by applying fast Fourier transformation (FFT) to the cylindrical distance between the circumbinary object and the center of mass of the binary as a function of time. We apply this method to three Kepler circumbinary planets and the satellites of Pluto-Charon. For the satellite Styx of Pluto-Charon, the FFT results for κ 0 and e free differ significantly from the first-order analytic value and the value reported by Showalter & Hamilton, respectively. We show that the deviation in κ 0 is likely due to the effect of the 3:1 mean-motion resonance and discuss the implications of the lower value for e free. |
Persistent Identifier | http://hdl.handle.net/10722/286206 |
ISSN | 2023 Impact Factor: 5.1 2023 SCImago Journal Rankings: 1.953 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | WOO, JMY | - |
dc.contributor.author | Lee, MH | - |
dc.date.accessioned | 2020-08-31T07:00:39Z | - |
dc.date.available | 2020-08-31T07:00:39Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | The Astronomical Journal, 2020, v. 159 n. 6, p. article no. 277 | - |
dc.identifier.issn | 0004-6256 | - |
dc.identifier.uri | http://hdl.handle.net/10722/286206 | - |
dc.description.abstract | Planets and satellites orbiting a binary system exist in the solar system and extrasolar planetary systems. Their orbits can be significantly different from Keplerian orbits, if they are close to the binary and the secondary-to-primary mass ratio is high. A proper description of a circumbinary orbit is in terms of the free eccentricity e free at the epicyclic frequency κ 0, forced eccentricity e forced at the mean motion n 0, and oscillations at higher frequencies forced by the non-axisymmetric components of the binary's potential. We show that accurate numerical values for the amplitudes and frequencies of these terms can be extracted from numerical orbit integrations by applying fast Fourier transformation (FFT) to the cylindrical distance between the circumbinary object and the center of mass of the binary as a function of time. We apply this method to three Kepler circumbinary planets and the satellites of Pluto-Charon. For the satellite Styx of Pluto-Charon, the FFT results for κ 0 and e free differ significantly from the first-order analytic value and the value reported by Showalter & Hamilton, respectively. We show that the deviation in κ 0 is likely due to the effect of the 3:1 mean-motion resonance and discuss the implications of the lower value for e free. | - |
dc.language | eng | - |
dc.publisher | American Astronomical Society, co-published with Institute of Physics Publishing, Inc. The Journal's web site is located at http://iopscience.iop.org/1538-3881 | - |
dc.relation.ispartof | The Astronomical Journal | - |
dc.rights | The Astronomical Journal. Copyright © IOP Publishing. | - |
dc.rights | This is an author-created, un-copyedited version of an article published in [insert name of journal]. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/[insert DOI]. | - |
dc.subject | Mercury (Planet) | - |
dc.subject | Libration | - |
dc.subject | Orbital Elements | - |
dc.title | A Numerical Method for Determining the Elements of Circumbinary Orbits and Its Application to Circumbinary Planets and the Satellites of Pluto-Charon | - |
dc.type | Article | - |
dc.identifier.email | Lee, MH: mhlee@hku.hk | - |
dc.identifier.authority | Lee, MH=rp00724 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.3847/1538-3881/ab8dc1 | - |
dc.identifier.scopus | eid_2-s2.0-85086861697 | - |
dc.identifier.hkuros | 313294 | - |
dc.identifier.volume | 159 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | article no. 277 | - |
dc.identifier.epage | article no. 277 | - |
dc.identifier.isi | WOS:000538459200001 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0004-6256 | - |