Space weather questions

Objectives: The objective of this homework is to use a dipole model of the Earth's magnetic field to obtain approximate values for the magnetic field at different locations in the magnetosphere. With those field values. you will then calculate particle motion and plasma parameters. Assume that the magnetic field can be represented as a dipole in spherical coordinates given by: Figure 1: Coordinate system for dipole magnetic field. 3 Br = ZBO (E) cose T 130 m 3.12 X 10'5T 3 N . . 39 = 30 (Re) sine Re ~ 6370 (Earths radius) r 3 . IBI = Bo (%) V 1 + Secs2 9 6 = colatltude r = radius to point Part 2: Plasma Parameters 7. For an ionospheric plasma density of 1 x 1012 m3 and an electron temperature of 1000 K, calculate the Debye length and plasma frequency. 8. For a Geosynchronous plasma density of 1 x 107 m3 and an electron temperature of 1000 eV, calculate the Debye length and plasma frequency (Again. note that the temperature is given in electron Volts. so you will need to use the appropriate value of Boltzmann's constant)