Table 4 Estimated Dstmin based on formulae obtained from Wu and Lepping (2016) with $$B_{{z_{ \hbox{min} } }}$$ = −23 nT

Range of MC’s averaged speeda Estimating Dst formula using $$B_{{z_{ \hbox{min} } }}$$ in MCb Pred. Dst cmin Error (%)d Estimating Dst formula using $$B_{{z_{ \hbox{min} } }}$$ in MC or sheathb Pred. Dst cmin Error (%)d
1. V < 400a Dstmin = 12.12 + 6.55$$B_{{z_{ \hbox{min} } }}$$ −138.5 39.3 11. Dstmin = 14.19 + 6.52$$B_{{z_{ \hbox{min} } }}$$ −135.8 40.4
2. 400 < V < 500 Dstmin = −21.08 + 4.82$$B_{{z_{ \hbox{min} } }}$$ −131.9 42.1 12. Dstmin = −16.14 + 4.50$$B_{{z_{ \hbox{min} } }}$$ −119.6 47.5
3. 500 < V < 600 Dst min  = −9.31 + 9.08 $$B_{{z_{ \hbox{min} } }}$$ −218.2 e 4.3 13. Dstmin = 28.94 + 8.23$$B_{{z_{ \hbox{min} } }}$$ −160.4 29.6
4. 600 < V < 750 Dst min  = −70.76 + 6.55 $$B_{{z_{ \hbox{min} } }}$$ −221.4 2.9 14. Dstmin = 36.18 + 8.65$$B_{{z_{ \hbox{min} } }}$$ −162.8 28.6
5. V > 750 Dstmin = −147.07 + 2.84$$B_{{z_{ \hbox{min} } }}$$ −212.4 6.8 15. Dstmin = −32.14 + 4.54$$B_{{z_{ \hbox{min} } }}$$ −136.6 40.1
94 MCshock
6. V < 400 Dstmin = 12.28 + 6.82$$B_{{z_{ \hbox{min} } }}$$ −144.5 36.6 16. Dstmin = −10.83 + 5.42$$B_{{z_{ \hbox{min} } }}$$ −114.8 49.6
7. 400 < V < 500 Dstmin = −43.37 +3.37$$B_{{z_{ \hbox{min} } }}$$ −120.9 47.0 17. Dstmin = −36.69 + 3.21$$B_{{z_{ \hbox{min} } }}$$ −111.7 51.0
8. 500 < V < 600 Dstmin = −54.55 + 4.72$$B_{{z_{ \hbox{min} } }}$$ −163.1 28.5 18. Dstmin = −13.01 + 5.14$$B_{{z_{ \hbox{min} } }}$$ −132.8 41.8
9. 600 < V < 750 Dstmin = −66.72 + 7.53$$B_{{z_{ \hbox{min} } }}$$ −239.9 5.2 19. Dstmin = 75.96 + 10.43$$B_{{z_{ \hbox{min} } }}$$ −191.2 16.1
10. 750 < V Dstmin = −147.07 + 2.84$$B_{{z_{ \hbox{min} } }}$$ −212.4 6.8 20. Dstmin = −32.14 + 4.54$$B_{{z_{ \hbox{min} } }}$$ −141.9 37.9
1. aRange of averaged speed inside of the MC
2. bLinear-fitted function for Dstmin obtained from Wu and Lepping (2016)
3. cPredicted Dstmin by using Dstmin formula listed in the left
4. dError = |(Dstobs–Dstpred.)/Dstobs.|
5. eDstprediction = −218.2 nT ($$B_{{z_{ \hbox{min} } }}$$ = −23 nT) using Dstmin formula 3) for 500 < V < 600 km/s
6. Italics: the “best prediction” (with the lowest error) for Dst min