Effect of Coronal Mass Ejection on Earth ’ s Magnetic Field during Ascending Phase of Solar Cycles 23-24

We have studied the width and speed of coronal mass ejections (CMEs) and geomagnetic disturbance storm time (Dst) Index during ascending phase of solar cycles 23 and 24. We have classified total CMEs according to angular width and speed for the ascending period 1996-2002 and 2008-2014. We have found that the width of 62% CMEs is narrow, and 3% are Halo for the solar cycle 23 and 73% CMEs are narrow, and 2% CMEs are Halo for the solar cycle 24. The speed distribution of 65% CMEs has speed ≤ 500 km/sec and 4% CMEs has speed > 1000 km/sec for solar cycle 23 and 84% CMEs has speed ≤ 500 km/sec and 1% CMEs has speed > 1000 km/sec in cycle 24. The relationship between width and speed is more pronounced for fast ejecta (>1000 km/sec.), while slower ejecta shows more astronomically immense scatter. We have reported that the correlation between Dst and CMEs for ascending phase of solar cycle 24 is less than as compare to ascending phase of solar cycle 23.


Introduction
Now it is very well known that the coronal mass ejections (CMEs) play a central role in the enhancing of interplanetary and geomagnetic activity [1] [2] [3].The disturbance storm time index (Dst) is a measure of geomagnetic activity used to assess the magnetic storms and it is affected by solar output.Many researchers show the relationship between CMEs and geomagnetic storms [4] [5] [6] [7].
Coronal mass ejections (CMEs) are identified in the images of the solar corona International Journal of Astronomy and Astrophysics obtained by the Solar and Heliospheric Observatory (SOHO) mission's Large Angle and Spectrometric Coronagraph (LASCO) since 1996.Coronal mass ejections (CMEs) with strong magnetic fields caused geomagnetic storms [8].
CMEs travel outward from the Sun, typically at an average speed of about ~483 kilometers per second but be slow as ~100 kilometers per second or faster than ~3000 kilometers per second [9] [10].The fastest CMEs erupt from large sunspot active regions, powered by the strongest magnetic field concentrations on the Sun.These fast CMEs can reach Earth in a little time as ~14 -17 hours and caused major geomagnetic storms.It is well-known that the most solar cycles show a double peak due to the out-of-phase activity in the two hemispheres [11].The double peak in SSN during solar cycle 24 is the second peak is larger than the first one by ~20%.Such a behavior was observed only a few times since the 1800s [12].
In order to address the fundamental problem of prediction of geomagnetic storms, it is important to examine the Halo CMEs first observed by Howard [13].A Halo CMEs appears to surround the occulting disk of the observing coronagraph in sky plane projection.Halo CMEs constitute only approximate 3% of all CMEs and represent an energy population because most of the CMEs that produce major geomagnetic storms are Halo [14].There only 11 CMEs that caused major storms during cycle 24 until the end of period 2014 [15].CMEs number shows a double peak and similar to seen in sunspot number [16].
In this study, we analyze the correlation between Dst and CMEs (Fast and Halo) during the ascending phase of solar cycles 23 and 24.In this paper, we have studied the variation of Dst and CMEs (speed and width) for the selected period.

Data Detection and Method of Analysis
We have taken CMEs and Dst data during the ascending phase of solar cycle 23 and 24.We have selected the first 7 years of both solar cycles 23 and 24 i.e. (1996-2002 and 2008-2014).We found total 7180 CMEs events in solar cycle 23 and 11,690 CMEs in solar cycle 24 for our selected period.In the present study, we have selected CMEs events data on the basis of angular width and speed from SOHO/LASCO (cdaw.gsfc.nasa.gov/CME_list/).In this analysis, we have distributed CMEs events in Narrow (width ≤ 60˚), Moderate (width 61˚ ~ 120˚), Partial Halo (width 121˚ ~ 359˚), and Halo (width=360˚).For speed distribution we have classified CMEs in such categories as ≤500 km/sec, 501 ~ 1000 km/sec, 1000 ~ 1500 km/sec, >1500 km/sec.The values of the annual average of geomagnetic disturbance storms time Index (Dst) (based on daily data) from the OmniWeb (https://omniweb.gsfc.nasa.gov/form/dx1.html).

Results and Discussion
According to speed distribution, we have taken the ascending phase of solar cycle 23 and 24.We have considered the interval 1996 to 2002 for solar cycle 23 and 2008 to 2014 for solar cycle 24.We have divided CMEs events in speed wise into four categories 1) CMEs with speed ≤ 500 km/sec 2) CME with speed 501 ~ International Journal of Astronomy and Astrophysics 1000 km/sec 3) CMEs with speed 1001 ~ 1500 km/sec 4) CMEs with speed > 1500 km/sec.Figure 1 shows the pie diagram for the distribution of CMEs according to above four categories for solar cycles 23 and 24.From Figure 1 we have observed that the CMEs with speed ≤ 500 km/sec for solar cycle 23 is 65% and for solar cycle 24 is 84%.It is noted that the CMEs with speed ≤ 500 are larger in solar cycle 24 as compared to solar cycle 23.From Figure 5 we have found that the annual average Dst is maximum for the ascending phase of solar cycle 23 in the period 2002 and for solar cycle 24 in the period 2012.We have reported that the maximum value of the annual average of International Journal of Astronomy and Astrophysics  Dst is produced in the solar cycle 23 as compared to solar cycle 24.We have observed that the annual average of Dst is maximum in the period 2009 during the solar cycle 24.It is observed that the Dst is depending on the CMEs during the study period [7].
Table 1 shows the fastest CMEs events (≥2200 km/sec) in ascending phase of solar cycle 23 and 24.It is observed that CMEs with speed ≥ 2200 km/sec are only 6 in solar cycle 23 as well as 4 in solar cycle 24.In our discussions we adopt a simpler scheme: Dst > −50 nT denotes storm level (no storm); −100 nT < Dst ≤ −50 nT denotes moderate storms while Dst ≤ −100 nT denotes intense storms.

Figure 2 (Figure 1 .
Figure 2(a) shows the annual occurrence of fast CMEs (>1000) during the solar cycles 23 and 24.From Figure 2(a) it is found that the fast CMEs have double peaks in the ascending phase of solar cycle 23 (2000 & 2002) and the ascending phase of solar cycle 24 (2012 & 2014).We have observed that the time-lag for fast CMEs (>1000) between the first maximum to the second

Figure 2 .
Figure 2. (a) Shows the graph of annual occurrence of fast CMEs during solar cycles 23 and 24 (b) scatter graph between fast CMEs and Dst Index during ascending phase of solar cycle 23 and 24.

Figure 3 .
Figure 3. Shows the distribution of total CMEs according to Angular width for the ascending phase of solar cycles 23 and 24.
Figure 2(b) shows the scatter graph between fast CMEs and Dst index.The correlation coefficient between fast CMEs and Dst index for solar cycle 23 is R = −0.81 and for solar cycle 24 is R = −0.63.From Figure 2(b) we have found that the correlation coefficient between Dst and fast CMEs (>1000) is larger in ascending phase of solar cycle 23 as compared to cycle 24.We have reported that the solar activity is larger in cycle 23 as compared to cycle 24.From Figure 3 we have divided all annual occurrence of total CME events for angular width in following four categories for the ascending period of 1996-2002 and 2008-2014: (1) Narrow (width ≤ 60˚) (2) Moderate (width 61˚ ~ 120˚) (3) Partial Halo (width 121˚ ~ 359˚) (4) Halo (width = 360˚).From Figure 3 we have observed that the Narrow CMEs have the highest percentage in total CMEs during the ascending phase of solar cycles 23 and 24.In total, Halo CMEs are only 3% in solar cycle 23 and only 2% in solar cycle 24.Annual occurrence of Halo CMEs is shown in Figure 4(a) during solar cycles 23 and 24.It is clear that Annual occurrence of Halo CMEs has a double peak structure in solar cycles 24 (2012 & 2014).From Figure 4(a) we have found that the time-lag for Halo CMEs (width = 360˚) between the first maximum to the second maximum is ~1 years during ascending phase of solar cycle 24.Figure 4(b) shows the scatter graph between Halo CMEs and Dst Index during the ascending phases of solar cycles 23 and 24.It is observed that the Halo CMEs is the strongest correlation with Dst during the ascending phase of solar cycle 23 i.e. for the period 1996-2002.We have found correlation coefficient between Halo CMEs and Dst for solar cycle 23 is R = −0.85 and for solar cycle 24 is R = −0.59during the ascending phases of solar cycles 23 and 24.We have reported that the geomagnetic activity is depending on the CMEs during ascending phase of solar cycles 23 and 24.It is clear that the correlation coefficient between Halo CMEs and Dst for solar cycle 23 is greater than the solar cycle 24.

Figure 4 .
Figure 4. (a) Shows the annual variation of Halo CME during solar cycles 23 and 24 (b) Scatter graph between the annual value of Halo CMEs and Annual average value of Dst (nT) index for the ascending phase of solar cycles 23 and 24.

Figure 5 .
Figure 5. Shows the bar graph of the annual average of Dst Index for the year 1996-2014.