Assume the axial symmetric CR density distribution with the minimum along with the axis of a cylinder Then the observed –G points toward the density minimum.

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Presentation transcript:

Assume the axial symmetric CR density distribution with the minimum along with the axis of a cylinder Then the observed –G points toward the density minimum ( ) located on the axis Assume the cylinder moving with the average solar wind velocity V sw Then the velocity V ax representing the cylinder orientation can be deduced from the apparent velocity V app, as V ax = V app - V sw model (1) V sw V ax sun V app earth -G cylinder axis density min.

model (2) earth -G R λ cylinder axis RERE density min. Assume the gaussian distribution for CR density, as R : distance from the cylinder axis I 0 : minimum density,  : radial scale of the cylinder Then G(R E ) observed at the earth (R= R E ) is… R E : minimum distance between the earth & the cylinder axis (1) (2) With the observed G(R E ), R E can be calculated from (2) for each set of parameters, I 0 & Find a set of I 0 & giving the best-fit G(R E ) to the observed gradient

Two CME events in 2001analyzed 35 directions (Nagoya-Japan, Hobart-Australia, SaoMartinho- Brazil) Prototype Muon network Onset time of SSC Max. K p FD size Corresponding CME Associated X-ray flare Onset timeSizeLocation 4/11 13: % 4/10 05:30X  S, 9  W 8/27 19: % 8/25 16:50X  S, 34  E CR data used S.Watari 2002

Observation 4/118/27 ρGx ρGy ρGz

Results for Apr. 11 event cylinder orientation :  = 50.2   = -5.2  passed the earth at R E = AU best-fit parameters : I 0 = % = AU averages over the best-fit period: Vsw = 696 km/s B = 21.2 nT  = AU

cylinder orientation :  = 66.4   =  Passed the earth at R E = AU best-fit parameters : I 0 = % = AU Results for Aug. 27 CME averages over the best-fit period: Vsw = 533 km/s B = 7.4 nT  = 0.15 AU

Density profiles Apr. 11 CMEAug. 27 CME

Results for Apr. 11 event by NM cylinder orientation :  =   = 15.7  passed the earth at R E = AU best-fit parameters : I 0 = % = AU averages over the best-fit period: Vsw = 696 km/s B = 21.2 nT  = AU

cylinder orientation :  = 57.9   =  Passed the earth at R E = AU best-fit parameters : I 0 = % = AU Results for Aug. 27 CME by NM averages over the best-fit period: Vsw = 533 km/s B = 7.4 nT  = AU

Density profiles by NM Apr. 11 CMEAug. 27 CME