Capture of dust grains in exterior resonances with planets |
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| Authors: | Milo idlichovský and David Nesvorný |
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| Institution: | (1) Astronomical Institute, Academy of Sciences of the Czech Republic, Bo ní II 1401, 141 31, 4 PRAHA;(2) Universidade de São Paulo, Instituto Astronômico e Geofísico, Av. Miguel Stefano 4200, Caixa Postal 9638, 01065 São Paulo, Brazil |
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| Abstract: | The temporary capture of the dust grains in the exterior resonances with planets is studied in the frames of the planar circular three-body problem with Poynting-Robertson (PR) drag. For the Earth and particles ~ 10  m the resonances 4/5, 5/6, 6/7, 7/8 are shown to be most effective. The capture is only temporary (of order 105 years) and the position of resonance may be calculated from semi-analytical model using averaged disturbing function. These semi-analytical results are confirmed by numerical integration. For various planet this picture changes as with increasing planetary mass the more exterior resonances become more important. We showed that for Jupiter (at least in the space between Jupiter and Saturn) the resonance 1/2 plays the dominant role. The capture time is here several myr but again eccentricity is evolving to eccentricity e
0 ~ 0.48 of libration point for this resonance. |
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| Keywords: | Interplanetary matter Dust Resonances |
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