Nowcast Formulas for b2i from GOES Magnetometer Data
Results
from UPOS Project COX
January
2004
Patrick
T. Newell
Johns
Hopkins University Applied Physics Laboratory
Background:
When the GOES
satellites are on the nightside of the Earth, the extent to which the Earth’s
magnetic field has been stretched from its natural dipole inclination into a
long magnetotail is measured by the GOES magnetometers. The more stretched the Earth’s magnetic
field, the more active the magnetosphere.
GOES magnetometer data is available real-time from NOAA’s space data
center.
The b2i
parameter is a DMSP particle-based boundary which is also related to
magnetotail stretching. The b2i
particle boundary is used as a parameter in OVATION. If b2i can be estimated in the absence of DMSP particle, data,
then the oval position can be roughly guessed.
When b2i and
the GOES data are measured at the same local time (MLT, or magnetic local
time), they have a relatively high correlation (around 0.8). However magnetotail stretching varies with
local time, and each local time can change independent of other local
times. Ideally, a global measurement of
magnetotail stretching would sample many local times. This is not likely anytime soon.
Since both b2i
and GOES are operationally measured each at a single (and different) MLT, the
correlation is only 0.4 to 0.5). This
is still enough to give a guess for the oval position when no DMSP data is
present.
Empirical
Formulas for the GOES to b2i Relationship
The following equations
were developed under UPOS to convert the GOES nightside magnetometer readings
into b2i, to be supplied to OVATION.
When GOES is not at a listed local time, these formulas cannot be
applied. A running average over the
previous 1 hour is used for the GOES data.
In terms of
estimating the auroral position, these correlation coefficients understate the
quality of the GOES data. A good
portion of the variance is due to comparing b2i and GOES data from different
MLTs. The correlations are substantially
higher when b2i and GOES from the same MLT are compared.
That is, the GOES data will predict oval position best at
the local time of the measurement (but so does a single DMSP measurement).
T = magnetotail inclination angle in degrees T = atan(v/h)
v,h are GOES magnetometer measurements
b2i = a + b*T Kp is a number between 0 and 9
GOES
Local Time
a b corr.
coeff. with b2i
16 0.030 60.0 0.17
17 0.061 55.5 0.32
18 0.082 52.3 0.44
19 0.094 50.7 0.51
20 0.093 50.9 0.52
21 0.082 52.6 0.51
22 0.074 53.8 0.48
23 0.065 55.2 0.46
00 0.071 54.3 0.47
01 0.077 53.5 0.47
02 0.080 53.0 0.48
03 0.083 52.5 0.46
04 0.090 51.4 0.47
05 0.076 53.4 0.41