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

From: The first super geomagnetic storm of solar cycle 24: “The St. Patrick’s day event (17 March 2015)”

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