E.4             Magnetopause boundary

The location and field strength of the magnetopause is integral to most external field models. However, it is sometimes useful to be able to estimate the magnetopause location explicitly. Some simple expressions can be used to estimate basic locations of magnetospheric boundaries for mission planning. The stand­off radial distance of the magnetopause in the sunward direction is given approximately by:

(E-2)

where

Lmp        is in units of Earth­radii,

nsw,    the solar wind proton number density is in units of cm-3 and

usw        the solar wind bulk velocity is in units of km s-1.

Typical values for nswand usw are 8 cm-3 and 450 km s-1 respectively, leading to a stand­off distance of about 10 RE.

The model of Sibeck et al. [RD.32] represents the complete magnetopause position, not just at the sub-solar point, as the function:

(E-3)

where

R2 = y2 + z2;

x, y, and z       are GSM coordinates, in Earth­radii;

A, B and C      are fit parameters dependent on the solar wind pressure as given in Table E-2.