摘要The tsunami model of the origin of multi-ring basins is analysed with the theory of deep water waves generated by an initial surface deformation, which is set as a parabolic crater. We obtain an approximate formula for calculating the ring radius. The formula applied to some multi-ring basins on the Moon, Mercury and Mars gives almost equidistant spacing of the rings within the main ring (the IV ring); this agrees with the previous conclusion that the IV ring marks the end of the fluidized region. Besides this, the theory of deep water waves does not require similar crustal structure at each basin-impact site on all three planets which is required in the theory of shallow water waves.
Abstract:The tsunami model of the origin of multi-ring basins is analysed with the theory of deep water waves generated by an initial surface deformation, which is set as a parabolic crater. We obtain an approximate formula for calculating the ring radius. The formula applied to some multi-ring basins on the Moon, Mercury and Mars gives almost equidistant spacing of the rings within the main ring (the IV ring); this agrees with the previous conclusion that the IV ring marks the end of the fluidized region. Besides this, the theory of deep water waves does not require similar crustal structure at each basin-impact site on all three planets which is required in the theory of shallow water waves.
SHI Jian-Chun;MA Yue-Hua;CHEN Dao-Han;BAO Gang. Analysis of Origin of Multi-Ring Basins by Theory of Deep Water Waves[J]. 中国物理快报, 2008, 25(2): 787-789.
SHI Jian-Chun, MA Yue-Hua, CHEN Dao-Han, BAO Gang. Analysis of Origin of Multi-Ring Basins by Theory of Deep Water Waves. Chin. Phys. Lett., 2008, 25(2): 787-789.
[1] Chen D H and Liu L Z 1988 Modern Planet Physics (Shanghai:Shanghai Scientific and Technical Publishers) [2] Pike R J and Spudis P D 1987 Earth Moon Planets 39 129 [3] Baldwin R B 1974 Proc. Lunar Planet. Sci. 1 1 [4] Baldwin R B 1981 Proc. Lunar Planet. Sci. A 12 275 [5] Van Dorn W G 1968 Nature 220 1102 [6] Van Dorn W G 1969 Science 165 693 [7] Murray J B 1980 Moon 22 269 [8] Melosh H J 2006 First International Conference on ImpactCratering in the Solar System ESTEC (Noordwijk, Netherlands 08--12 May2006) No 367448 [9] Tonks W B and Melosh H J 1992 ICARUS 100 326 [10] Osinski G R, Grieve R A F and Spray J G 2007 Proceedings ofthe Conference Held in Saint-Hubert, LPI Contribution (Canada22--26 September 2007) No 1360 93 [11] Yue Z Y, Zhang B and Chen D H 1990 Earth, Moon, Planets 49 253 [12] Ward S N and Asphaug E 2003 Geophys. J. Int. 153 F6 [13] Ward S N and Asphaug E 2000 ICARUS 145 64 [14] Copson E T 1965 Asymptotic Expansion (Cambridge:Cambridge University Press)