Capture of interstellar objects : I. The capture cross-section

We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-secti...
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Autor*in:	Dehnen, Walter [verfasserIn] Hands, Thomas O. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Anmerkung:	Advance access publication 2021 December 22 Gesehen am 12.04.2022
Umfang:	16

Übergeordnetes Werk:	Enthalten in: Monthly notices of the Royal Astronomical Society - Royal Astronomical Society, Oxford : Oxford Univ. Press, 1827, 512(2022), 3, Seite 4062-4077
Übergeordnetes Werk:	volume:512 ; year:2022 ; number:3 ; pages:4062-4077 ; extent:16

Links:	Volltext

DOI / URN:	10.1093/mnras/stab3670

Katalog-ID:	1798481456

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520			\|a We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons.
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Indexfelder

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allfields	10.1093/mnras/stab3670 doi (DE-627)1798481456 (DE-599)KXP1798481456 (OCoLC)1341458677 DE-627 ger DE-627 rda eng Dehnen, Walter verfasserin (DE-588)1194488994 (DE-627)167650396X aut Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands 2022 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Advance access publication 2021 December 22 Gesehen am 12.04.2022 We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Hands, Thomas O. verfasserin (DE-588)1255275510 (DE-627)1799360423 aut Enthalten in Royal Astronomical Society Monthly notices of the Royal Astronomical Society Oxford : Oxford Univ. Press, 1827 512(2022), 3, Seite 4062-4077 Online-Ressource (DE-627)314059164 (DE-600)2016084-7 (DE-576)090955420 1365-2966 nnns volume:512 year:2022 number:3 pages:4062-4077 extent:16 https://doi.org/10.1093/mnras/stab3670 Verlag Resolving-System lizenzpflichtig Volltext GBV_USEFLAG_U GBV_ILN_2013 ISIL_DE-16-250 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2026 GBV_ILN_2088 GBV_ILN_2112 GBV_ILN_2190 GBV_ILN_2810 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 512 2022 3 4062-4077 16 2013 01 DE-16-250 4115152397 00 --%%-- --%%-- --%%-- --%%-- l01 11-04-22 2013 01 DE-16-250 00 s hd2022 2013 01 DE-16-250 01 s (DE-627)1410508463 wissenschaftlicher Artikel (Zeitschrift) 2013 01 DE-16-250 02 s per_2 2013 01 DE-16-250 03 s s_16 2013 01 DE-16-250 04 p (DE-627)1758741295 Dehnen, Walter 2013 01 DE-16-250 04 k (DE-627)1416733728 ZAH Astronomisches Recheninstitut 2013 01 DE-16-250 04 s (DE-627)1410501914 Verfasser 2013 01 DE-16-250 04 s pos_1
spelling	10.1093/mnras/stab3670 doi (DE-627)1798481456 (DE-599)KXP1798481456 (OCoLC)1341458677 DE-627 ger DE-627 rda eng Dehnen, Walter verfasserin (DE-588)1194488994 (DE-627)167650396X aut Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands 2022 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Advance access publication 2021 December 22 Gesehen am 12.04.2022 We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Hands, Thomas O. verfasserin (DE-588)1255275510 (DE-627)1799360423 aut Enthalten in Royal Astronomical Society Monthly notices of the Royal Astronomical Society Oxford : Oxford Univ. Press, 1827 512(2022), 3, Seite 4062-4077 Online-Ressource (DE-627)314059164 (DE-600)2016084-7 (DE-576)090955420 1365-2966 nnns volume:512 year:2022 number:3 pages:4062-4077 extent:16 https://doi.org/10.1093/mnras/stab3670 Verlag Resolving-System lizenzpflichtig Volltext GBV_USEFLAG_U GBV_ILN_2013 ISIL_DE-16-250 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2026 GBV_ILN_2088 GBV_ILN_2112 GBV_ILN_2190 GBV_ILN_2810 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 512 2022 3 4062-4077 16 2013 01 DE-16-250 4115152397 00 --%%-- --%%-- --%%-- --%%-- l01 11-04-22 2013 01 DE-16-250 00 s hd2022 2013 01 DE-16-250 01 s (DE-627)1410508463 wissenschaftlicher Artikel (Zeitschrift) 2013 01 DE-16-250 02 s per_2 2013 01 DE-16-250 03 s s_16 2013 01 DE-16-250 04 p (DE-627)1758741295 Dehnen, Walter 2013 01 DE-16-250 04 k (DE-627)1416733728 ZAH Astronomisches Recheninstitut 2013 01 DE-16-250 04 s (DE-627)1410501914 Verfasser 2013 01 DE-16-250 04 s pos_1
allfields_unstemmed	10.1093/mnras/stab3670 doi (DE-627)1798481456 (DE-599)KXP1798481456 (OCoLC)1341458677 DE-627 ger DE-627 rda eng Dehnen, Walter verfasserin (DE-588)1194488994 (DE-627)167650396X aut Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands 2022 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Advance access publication 2021 December 22 Gesehen am 12.04.2022 We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Hands, Thomas O. verfasserin (DE-588)1255275510 (DE-627)1799360423 aut Enthalten in Royal Astronomical Society Monthly notices of the Royal Astronomical Society Oxford : Oxford Univ. Press, 1827 512(2022), 3, Seite 4062-4077 Online-Ressource (DE-627)314059164 (DE-600)2016084-7 (DE-576)090955420 1365-2966 nnns volume:512 year:2022 number:3 pages:4062-4077 extent:16 https://doi.org/10.1093/mnras/stab3670 Verlag Resolving-System lizenzpflichtig Volltext GBV_USEFLAG_U GBV_ILN_2013 ISIL_DE-16-250 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2026 GBV_ILN_2088 GBV_ILN_2112 GBV_ILN_2190 GBV_ILN_2810 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 512 2022 3 4062-4077 16 2013 01 DE-16-250 4115152397 00 --%%-- --%%-- --%%-- --%%-- l01 11-04-22 2013 01 DE-16-250 00 s hd2022 2013 01 DE-16-250 01 s (DE-627)1410508463 wissenschaftlicher Artikel (Zeitschrift) 2013 01 DE-16-250 02 s per_2 2013 01 DE-16-250 03 s s_16 2013 01 DE-16-250 04 p (DE-627)1758741295 Dehnen, Walter 2013 01 DE-16-250 04 k (DE-627)1416733728 ZAH Astronomisches Recheninstitut 2013 01 DE-16-250 04 s (DE-627)1410501914 Verfasser 2013 01 DE-16-250 04 s pos_1
allfieldsGer	10.1093/mnras/stab3670 doi (DE-627)1798481456 (DE-599)KXP1798481456 (OCoLC)1341458677 DE-627 ger DE-627 rda eng Dehnen, Walter verfasserin (DE-588)1194488994 (DE-627)167650396X aut Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands 2022 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Advance access publication 2021 December 22 Gesehen am 12.04.2022 We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Hands, Thomas O. verfasserin (DE-588)1255275510 (DE-627)1799360423 aut Enthalten in Royal Astronomical Society Monthly notices of the Royal Astronomical Society Oxford : Oxford Univ. Press, 1827 512(2022), 3, Seite 4062-4077 Online-Ressource (DE-627)314059164 (DE-600)2016084-7 (DE-576)090955420 1365-2966 nnns volume:512 year:2022 number:3 pages:4062-4077 extent:16 https://doi.org/10.1093/mnras/stab3670 Verlag Resolving-System lizenzpflichtig Volltext GBV_USEFLAG_U GBV_ILN_2013 ISIL_DE-16-250 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2026 GBV_ILN_2088 GBV_ILN_2112 GBV_ILN_2190 GBV_ILN_2810 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 512 2022 3 4062-4077 16 2013 01 DE-16-250 4115152397 00 --%%-- --%%-- --%%-- --%%-- l01 11-04-22 2013 01 DE-16-250 00 s hd2022 2013 01 DE-16-250 01 s (DE-627)1410508463 wissenschaftlicher Artikel (Zeitschrift) 2013 01 DE-16-250 02 s per_2 2013 01 DE-16-250 03 s s_16 2013 01 DE-16-250 04 p (DE-627)1758741295 Dehnen, Walter 2013 01 DE-16-250 04 k (DE-627)1416733728 ZAH Astronomisches Recheninstitut 2013 01 DE-16-250 04 s (DE-627)1410501914 Verfasser 2013 01 DE-16-250 04 s pos_1
allfieldsSound	10.1093/mnras/stab3670 doi (DE-627)1798481456 (DE-599)KXP1798481456 (OCoLC)1341458677 DE-627 ger DE-627 rda eng Dehnen, Walter verfasserin (DE-588)1194488994 (DE-627)167650396X aut Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands 2022 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Advance access publication 2021 December 22 Gesehen am 12.04.2022 We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Hands, Thomas O. verfasserin (DE-588)1255275510 (DE-627)1799360423 aut Enthalten in Royal Astronomical Society Monthly notices of the Royal Astronomical Society Oxford : Oxford Univ. Press, 1827 512(2022), 3, Seite 4062-4077 Online-Ressource (DE-627)314059164 (DE-600)2016084-7 (DE-576)090955420 1365-2966 nnns volume:512 year:2022 number:3 pages:4062-4077 extent:16 https://doi.org/10.1093/mnras/stab3670 Verlag Resolving-System lizenzpflichtig Volltext GBV_USEFLAG_U GBV_ILN_2013 ISIL_DE-16-250 SYSFLAG_1 GBV_KXP GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2026 GBV_ILN_2088 GBV_ILN_2112 GBV_ILN_2190 GBV_ILN_2810 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 512 2022 3 4062-4077 16 2013 01 DE-16-250 4115152397 00 --%%-- --%%-- --%%-- --%%-- l01 11-04-22 2013 01 DE-16-250 00 s hd2022 2013 01 DE-16-250 01 s (DE-627)1410508463 wissenschaftlicher Artikel (Zeitschrift) 2013 01 DE-16-250 02 s per_2 2013 01 DE-16-250 03 s s_16 2013 01 DE-16-250 04 p (DE-627)1758741295 Dehnen, Walter 2013 01 DE-16-250 04 k (DE-627)1416733728 ZAH Astronomisches Recheninstitut 2013 01 DE-16-250 04 s (DE-627)1410501914 Verfasser 2013 01 DE-16-250 04 s pos_1
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title_full	Capture of interstellar objects I. The capture cross-section Walter Dehnen and Thomas O. Hands
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title_sort	capture of interstellar objectsi. the capture cross-section
title_auth	Capture of interstellar objects I. The capture cross-section
abstract	We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Advance access publication 2021 December 22 Gesehen am 12.04.2022
abstractGer	We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Advance access publication 2021 December 22 Gesehen am 12.04.2022
abstract_unstemmed	We study the capture of interstellar objects (ISOs) by a planet-star binary with mass ratio q ≪ 1, semimajor axis ap, orbital speed vc, and eccentricity ep. Very close (slingshot) and wide encounters with the planet are amenable to analytical treatment, while numerically obtained capture cross-sections σ closely follow the analytical results even in the intermediate regime. Wide interactions can only generate energy changes $\Delta E\lesssim q{v}_{\mathrm{c}}^2$, when $\sigma \propto v_\infty ^{-2} \|\ln \Delta E\|^{2/3}$ (with v∞ the ISO’s incoming speed far away from the binary), which is slightly enhanced for ep > 0. Energy changes $\Delta E\gtrsim q{v}_{\mathrm{c}}^2$, on the other hand, require close interactions when σ ∝ (v∞ΔE)−2 hardly depending on ep. Finally, at $\Delta E\gtrsim {v}_{\mathrm{c}}^2$, the cross-section drops to zero, depending on the planet’s radius Rp through the Safronov number Θ = qap/Rp. We also derive the cross-sections for collisions of ISOs with planets or moons. Advance access publication 2021 December 22 Gesehen am 12.04.2022
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title_short	Capture of interstellar objects
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