The solar wind’s geomagnetic impact and its Sun--Earth evolution -- Predictive models for space weather and the Parker Solar Probe orbit
by Malte Venzmer
Date of Examination:2018-11-01
Date of issue:2018-11-06
Advisor:Dr. Volker Bothmer
Referee:Dr. Volker Bothmer
Referee:Prof. Dr. Ansgar Reiners
Referee:Prof. Dr. Stefan Dreizler
Referee:Prof. Dr. Wolfram Kollatschny
Referee:Prof. Dr. Hardi Peter
Referee:Prof. Dr. Andreas Tilgner
Files in this item
Name:Dissertation_Malte_Venzmer_2018_eDiss.pdf
Size:41.6Mb
Format:PDF
Abstract
English
This thesis addresses two current topics in solar wind research and space weather. The first study is dedicated to the solar wind's impact on geomagnetic activity and the second study to the estimation of the solar wind conditions in the near-Sun environment with regard to the Parker Solar Probe mission. Solar wind interacts with the terrestrial magnetosphere, and variations in its properties result directly in geomagnetic disturbances. Extreme plasma conditions, such as those exclusively found in coronal mass ejections (CMEs), evoke geomagnetic storms that can potentially disrupt technological systems and pose threats to human lives. Therefore, the prediction of space weather effects is of major importance. This study aims to derive empirical relations in order to predict the planetary geomagnetic disturbance indicator Kp from the solar wind electric field and from the velocities of CMEs and solar wind streams. Near-Earth solar wind measurements of the period 1981--2016 from the minutely OMNI data set are processed to 3 hourly averages and to 3-hourly extrema, and correlated with the Kp index. A functional dependency between Kp and the electric field proxy vBz in GSM coordinates is derived. CME and stream data are separated using the existing list of Solar Wind Structures, and functional Kp dependencies are derived for their velocities. The obtained relations are evaluated for their prediction performance by calculating forecast errors and true skill scores. The Kp correlation with 3 hour minima of vBz results in a significantly larger coefficient (r_min = 0.72) than with 3 hour averages (r_avg = 0.36), whereas the correlation coefficients for 3 hour maxima and averages of the velocity remain similar. Predictive Kp models are obtained based on relations with the solar wind electric field, and the velocity of CMEs and streams -- the relations show mean absolute deviations of around 1 Kp value. The curve of the CME velocity relation is higher in magnitude and steeper in trend than that for the stream velocity. The extension of the CME velocity relation shows that CMEs with about 1500 km/s generate the maximum Kp of 9.0, the fastest streams with 900 km/s however, barely reach the geomagnetic storm threshold of Kp = 5.0. The results suggest that by using the vBz minima over 3 hours, short-term geoeffective magnetic features in the solar wind are being accounted for, which are being neglected when calculating 3 hour averages. The evident differences in the CME and stream velocity dependencies support the approach of deriving separate Kp models for them. Within their proper Kp ranges, all three predictive models perform significantly better than random, and outside they still track the general trend within Kp errors of about +-3. Up to now, multiple space probes have measured the solar wind in-situ throughout the whole range of the heliosphere, except for the region close to the Sun below solar distances of 0.29 astronomical units (au). Yet, this region is of particular interest as it comprises the processes that heat and accelerate the solar wind. The Parker Solar Probe (PSP) mission is the first spacecraft to visit this unexplored near-Sun region. Launched in August 2018, PSP is going to reach its first perihelion at a solar distance of 35.7 solar radii (Rs) (0.16 au) in November 2018 and its first closest at 9.86 Rs (0.046 au) in December 2024. This study aims to develop a solar wind model for the inner heliosphere and to predict the near-Sun solar wind environment for the PSP orbit. The model comprises individual relations that represent the frequency distributions of the solar wind key properties magnetic field strength, proton velocity, density, and temperature. The relations are constructed in such a way that the distributions are being shifted depending on solar activity and solar distance. The frequency distributions are obtained from 53 years (1963--2016) of near-Earth solar wind measurements from the hourly OMNI data set. Their shapes are fitted with lognormal functions -- the velocity is fitted with a double lognormal function to account for its slow and fast wind components. The distributions' shifts due to solar activity are derived from the yearly sunspot number (SSN) of almost five solar cycles. The velocity is treated differently in that the two lognormal functions are being balanced according to the SSN. The distributions' dependencies on solar distance are based on solar wind measurements made in the solar distance range 0.29 0.98 au by the Helios 1 and Helios 2 spacecraft which flew in the 1970s. The dependencies are based on power-law functions, fitted to the Helios data. For the magnetic field strength, an alternative distance dependency is derived, which accounts for the Parker geometry of the individual field components. The derived solar wind model is extrapolated, using SSN predictions of the next solar cycle, down to the orbital trajectory of PSP, in particular to its first perihelion and to its first closest perihelion. The estimated median values at PSP's first and first closest perihelia are respectively: 87 nT and 943 nT, 340 km/s and 290 km/s, 214 cm-3 and 2951 cm-3, 5.03e5 K and 1.93e6 K. The median values for the magnetic field strength based on the Parker field geometry are 94 nT and 1241 nT, which is 8 % and 32 % higher than those from the model based on the power-law distance dependency. These estimates agree with those from studies using direct measurements obtained from remote observations, except for the velocity and temperature values below 20 Rs, which are extrapolated to be significantly higher. As it is known that the magnetic field strength in the outer heliosphere conforms to the Parker field geometry, the predictions of this model are considered to be more reliable. The overestimation of the near-Sun velocity and temperature values below 20 Rs indicates that the solar wind is still being heated and accelerated in this region.
Keywords: Sun; solar wind; coronal mass ejections; magnetosphere; space weather; Parker Solar Probe