Analysis of Interstellar magnetic field in earth's magnetosphere by linearized MHD equations

Abstract

Life on earth without sun is impossible. So always the study of earth sun coupling remains forever as long as humans exist. Fortunately, the technological advancement we have at hand tody has helped to advance research in this eld. However, a number of theoretical principles need to be worked out. For example, the solar magnetic-storm on earth that causes electronic interruption etc need to be solved. One of the di culties is that the complex nature of the MHD equations involving non-linear di erential equations. If there is any, most works assume the collision-free system with simplify boundary conditions. Motivated by this scienti c background, we did study the solar wind - earth's magnetosphere interactions through the interstellar magnetic eld dynamics in the linearized MHD equations.The results we derived here is in conformity to conclude the existing models indeed work at large but has limitations to include very ne local e ects like magnetic storms and the observed relativistic particle anomalies in ionosphere. So there is a need of advanced analytical and computational works to extract more accurate data from the full MHD equations.medskip Key words: IMF, Ionosphere, Magnetosphere, MHD, magnetopause, Sun,magnetic reconnection.