Details of selected Madrigal Parameters


Madrigal parameters are a superset of Cedar parameters, defined in the CEDAR File Format (pdf). The purpose of this document is to more fully document these parameters than can be expressed in the 40 character offical Cedar description field. Not all Madrigal parameters can be found here.

SUNRISE_HOUR
Code 0: (not a cedar parameter) Ionospheric sunrise (hour)
This parameter gives the hour UT that sunrise occurs at that particular point in space that particular day. If that point in space is either in sunlight or in shadow the entire UT day, sunrise_hour will be missing. To find out which, display the Shadow height (SDWHT) parameter. If shadow height is less that the altitude of the point, its in sunlight; if shadow height is greater than the altitude, its in the earth's shadow.
Note that this calculation takes into account the changing earth-sun distance, and the geodetic shape of the earth. It does not include atmospheric bending of light or earth's surface features (mountains, etc.).

SUNSET_HOUR
Code 0: (not a cedar parameter) Ionospheric sunset (hour)
This parameter gives the hour UT that sunset occurs at that particular point in space that particular day. If that point in space is either in sunlight or in shadow the entire UT day, sunset_hour will be missing. To find out which, display the Shadow height (SDWHT) parameter. If shadow height is less that the altitude of the point, its in sunlight; if shadow height is greater than the altitude, its in the earth's shadow.
Note that this calculation takes into account the changing earth-sun distance, and the geodetic shape of the earth. It does not include atmospheric bending of light or earth's surface features (mountains, etc.).

CONJ_SUNRISE_H
Code 0: (not a cedar parameter) Mag conj point sunrise (hour)
This parameter gives the hour UT that sunrise occurs at the magnetic conjugate point of the particular point in space that particular day. If the magnetic conjugate point in space is either in sunlight or in shadow the entire UT day, conj_sunrise_h will be missing. To find out which, display the Mag conj shadow height (MAGCONJSDWHT) parameter. If the mag conj shadow height is less that the altitude of the point, its in sunlight; if mag conj shadow height is greater than the altitude, its in the earth's shadow.
Note that this calculation takes into account the changing earth-sun distance, and the geodetic shape of the earth. It does not include atmospheric bending of light or earth's surface features (mountains, etc.).

CONJ_SUNSET_H
Code 0: (not a cedar parameter) Mag conj point sunset (hour)
This parameter gives the hour UT that sunset occurs at the magnetic conjugate point of the particular point in space that particular day. If the magnetic conjugate point in space is either in sunlight or in shadow the entire UT day, conj_sunset_h will be missing. To find out which, display the Mag conj shadow height (MAGCONJSDWHT) parameter. If the mag conj shadow height is less that the altitude of the point, its in sunlight; if mag conj shadow height is greater than the altitude, its in the earth's shadow.
Note that this calculation takes into account the changing earth-sun distance, and the geodetic shape of the earth. It does not include atmospheric bending of light or earth's surface features (mountains, etc.).

MLT
Code 54: Magnetic Local Time (hour)
This parameter gives the magnetic local time of a particular point in space and time. If derived, it uses the Altitude Adjusted Corrected Geomag. Coordinates to define the magnetic coordinates of the sun and the location of the point where MLT is desired. Uses code written by Kile Baker. Only works for times after 1987.

JDAYNO
Julian day number (changes at UT midnight)
The number of days since Jan 1, 4713 BC 0 UT. Note that this is different by 12 hours from the astronomical definition, which starts at 12 UT that same day. See JULIAN_DAY for the parameter that starts at 12 UT.

JULIAN_DAY
Julian day number (changes at 12 UT)
The number of 24 hour periods since Jan 1, 4713 BC 12 UT. Note that this is the standard astronomical usage. See JDAYNO for the parameter that starts at 0 UT.

JULIAN_DATE
Julian date (float)
A floating point representation of the number of days since Jan 1, 4713 BC 12 UT. Note that this is the standard astronomical usage.

GDLAT2
Code 162: Geodetic latitude of second instrument (deg)
This parameter gives the latitude of a second instrument. It is used whenever a difference is given between a parameter measured at this instrument minus the value at a second instrument. For example, this parameter can be used to given the difference between two magnetometer readings.

GLON2
Code 172: Geodetic longitude of second inst (deg)
This parameter gives the longitude of a second instrument. It is used whenever a difference is given between a parameter measured at this instrument minus the value at a second instrument. For example, this parameter can be used to given the difference between two magnetometer readings.

SZEN
Code 180: Solar zenith angle in measurement vol (deg)
This parameter gives the solar zenith angle in degrees. If 0 degrees, the sun is directly overhead. A solar zenith angle of between 90 and 180 degrees does not mean the sun is not visible, due to the finite solid angle of the sun and the altitude the point may be above the earth's surface. Use Shadow height (SDWHT) parameter to determine if a point is in sunlight. If shadow height is less that the altitude of the point, its in sunlight; if shadow height is greater than the altitude, its in the earth's shadow.

SZENC
Code 183: Conjugate solar zenith angle (deg)
This parameter gives the solar zenith angle at the magnetic confugate point in degrees. If 0 degrees, the sun is directly overhead the magnetic conjugate point. A solar zenith angle of between 90 and 180 degrees does not mean the sun is not visible at the mag conj point, due to the finite solid angle of the sun and the altitude the point may be above the earth's surface. Use the Mag conj shadow height (MAGCONJSDWHT) parameter to determine if the magnetic conjugate point is in sunlight. If shadow height is less that the altitude of the point, its in sunlight; if shadow height is greater than the altitude, its in the earth's shadow.

SDWHT
Code 186: Shadow height (km)
This parameter gives the height above the earth's surface at which any part of the sun can be seen. It depends only on the time, and on the geodetic latitude and longitude. During the day shadow height will be zero. Since the sun is larger than the earth, the shadow height is always finite. If shadow height is less that the altitude of a given point in space, its in sunlight; if shadow height is greater than the altitude, its in the earth's shadow.
Note that this calculation takes into account the changing earth-sun distance, and the geodetic shape of the earth. It does not include atmospheric bending of light or earth's surface features (mountains, etc.).

IGRF model
Based on IGRF 11 released in January 2010.

BDH
Code 236: Delta H-comp of geomag fld (local-remote)
This parameter gives the difference in the horizontal component of the magnetic field between this instrument's location, and a second instrument. The parameters GDLAT2 and GLON2 specify the location of the second instrument. The difference is the local instrument minus the second instrument.

HAV0LT_L
Code 238: Avg of geomag H comp - 22-02LT (local)
This parameter represents the average geomagnetic horizontal component taken for the four contiguous hours around that UT day's local midnight (from 22 local time to 02 local time). For an instrument just to the east of 0 degrees longitude, this means that the average may include measurements from the previous UT day. For an instrument just to the west of 0 degrees longitude, this means the the average may include measurements from the following UT day. This value will be constant for the entire UT day. This parameter uses the local instrument's data.

HAV0LT_R
Code 240: Avg of geomag H comp - 22-02LT (remote)
This parameter is similar to HAV0LT_L, except that is uses data from the remote magnetometer located at the position set by GDLAT2 and GLON2. It represents the average geomagnetic horizontal component taken for the four contiguous hours around that UT day's local midnight (from 22 local time to 02 local time). For an instrument just to the east of 0 degrees longitude, this means that the average may include measurements from the previous UT day. For an instrument just to the west of 0 degrees longitude, this means the the average may include measurements from the following UT day. This value will be constant for the entire UT day.

MAGCONJSDWHT
Code 0: (not a cedar parameter) Magnetic conjugate shadow height (km)
This parameter gives the height above the earth's surface at the magnetic conjugate point's latitude and longitude at which any part of the sun can be seen. See Shadow height (SDWHT) parameter for more details.

CGM_LAT
Code 0: (not a cedar parameter) Corrected geomagnetic latitude (deg)
This parameter gives the location of a point in Corrected geomagnetic latitude. This method uses code developed by Vladimir Papitashvili. For more information on CGM coordinates and this code, click here.

CGM_LONG
Code 0: (not a cedar parameter) Corrected geomagnetic longitude (deg)
This parameter gives the location of a point in Corrected geomagnetic longitude. This method uses code developed by Vladimir Papitashvili. For more information on CGM coordinates and this code, click here.

TSYG_EQ_XGSM
Code 0: (not a cedar parameter) Tsyganenko field GSM XY plane X point (earth radii)
This parameter gives the X value in GSM coordinates of where the field line associated with a given input point in space and time crosses the GSM XY plane. GSM stands for Geocentric Solar Magnetospheric System, and its XY plane is the equatorial plane of the earth's magnetic dipole field. The field lines are traced using the Tsyganenko Magnetospheric model, so external effects on the earth's magnetic field such the solar wind are taken into account. This code uses the 2001 Tsyganenko model, which averages solar wind values over the past hour, instead of simply using present values.

TSYG_EQ_YGSM
Code 0: (not a cedar parameter) Tsyganenko field GSM XY plane Y point (earth radii)
This parameter gives the Y value in GSM coordinates of where the field line associated with a given input point in space and time crosses the GSM XY plane. GSM stands for Geocentric Solar Magnetospheric System, and its XY plane is the equatorial plane of the earth's magnetic dipole field. The field lines are traced using the Tsyganenko Magnetospheric model, so external effects on the earth's magnetic field such the solar wind are taken into account. This code uses the 2001 Tsyganenko model, which averages solar wind values over the past hour, instead of simply using present values.

TSYG_EQ_XGSM
Code 0: (not a cedar parameter) Tsyganenko field GSE XY plane X point (earth radii)
This parameter gives the X value in GSE coordinates of where the field line associated with a given input point in space and time crosses the GSE XY plane. GSE stands for Geocentric Solar Ecliptic System, and its XY plane is the equatorial plane of the earth's rotation. The field lines are traced using the Tsyganenko Magnetospheric model, so external effects on the earth's magnetic field such the solar wind are taken into account. This code uses the 2001 Tsyganenko model, which averages solar wind values over the past hour, instead of simply using present values.

TSYG_EQ_YGSM
Code 0: (not a cedar parameter) Tsyganenko field GSE XY plane Y point (earth radii)
This parameter gives the Y value in GSE coordinates of where the field line associated with a given input point in space and time crosses the GSE XY plane. GSE stands for Geocentric Solar Ecliptic System, and its XY plane is the equatorial plane of the earth's rotation. The field lines are traced using the Tsyganenko Magnetospheric model, so external effects on the earth's magnetic field such the solar wind are taken into account. This code uses the 2001 Tsyganenko model, which averages solar wind values over the past hour, instead of simply using present values.

Parameters describing the interception point of the magnetic field line associated with a given point in space with the E region. Input point must be above 150 km, or missing returned.
Code 0: (not a cedar parameter) These parameters are considered missing if the input point in below the E region.

ASPECT
Code 0: (not a cedar parameter) Magnetic aspect angle
The angle between the magnetic field line and the radar beam at a given point in the beam. A radar beam looking up the magnetic field line would have ASPECT == 0 (or 180), and a beam perpendicular to the magnetic field line would have an aspect angle of 90 degrees.

DST
Code 330: Dst Index (nT)
The Madrigal DST data is taken from two sources. If available, verified DST data is taken from ftp://ftp.ngdc.noaa.gov/STP/GEOMAGNETIC_DATA/INDICES/DST. If not available there, realtime DST data is taken from the World Data Center for Geomagnetism, Kyoto at http://swdcwww.kugi.kyoto-u.ac.jp/dst_realtime.

FBAR
Code 352: F10.7 Multiday average observed (Ottawa/Penticton)
The 81 day average value of F10.7, centered at the day of interest. For days less than 41 days in the past, the average is always over the last 81 days from the present.
This data comes from ftp://ftp.ngdc.noaa.gov/STP/SOLAR_DATA/SOLAR_RADIO/FLUX/. The following is from their website:
The sun emits radio energy with a slowly varying intensity. This radio flux, which originates from atmospheric layers high in the sun's chromosphere and low in its corona, changes gradually from day-to-day, in response to the number of spot groups on the disk. Radio intensity levels consist of emission from three sources: from the undisturbed solar surface, from developing active regions, and from short-lived enhancements above the daily level. Solar flux density at 2800 megaHertz has been recorded routinely by radio telescope near Ottawa since February 14, 1947. Each day, levels are determined at local noon (1700 GMT) and then corrected to within a few percent for factors such as antenna gain, atmospheric absorption, bursts in progress, and background sky temperature. Beginning in June 1991, the solar flux density measurement source is Penticton, B.C., Canada.

 

HPOW and HPOW_I

Code 365: Hemispheric Power Input and Code 366: Hemispheric Power Index

The Hemispheric Power calculation is based on the original method that was developed from the NASA TIROS satellites that had energy channels that went up to approximately the same energy as the second highest channel in the DMSP SSJ instruments. The algorithm integrates the total power through an auroral pass omitting the top channel for consistency with the earlier satellites, evaluates statistical error estimate, and normalizes the total based on the estimate of the geometry of the pass (e.g., cutting directly through both sides of the auroral oval vs just skimming it along the edge).

The Hemispheric Power Index (HPOW_I) is an integer related to the Hemispheric Power Input (HPOW) in Watts by:

HPOW_I = round(2.09 ln (HPOW/1.0E9))

References:

Hardy, D. A., M. S. Gussenhoven, and E. Holeman (1985), A statistical model of auroral electron precipitation, J. Geophys. Res., 90(A5), 4229–4248, doi:10.1029/JA090iA05p04229.

Fuller-Rowell, T. J., and D. S. Evans (1987), Height-integrated Pedersen and Hall conductivity patterns inferred from the TIROS-NOAA satellite data, J. Geophys. Res., 92(A7), 7606–7618, doi:10.1029/JA092iA07p07606.

Maeda, S., T. J. Fuller-Rowell, and D. S. Evans (1989), "Zonally averaged dynamical and compositional response of the thermosphere to auroral activity during September 18–24, 1984"", J. Geophys. Res., 94(A12), 16869–16883, doi:10.1029/JA094iA12p16869.

FPI_DATAQUAL
Code 461: FPI data quality code

FPI data are ONLY included in the Madrigal files if:

  1. absolute value of (FWHMi - FWHMm) < FWHMm*0.2, where FWHMi is the Gaussian fit FWHM of the ith record number (data point), and FWHMm is the median FWHM for all points sampled during a given night of data, AND
  2. absolute value of (LCi - LCm) < LCm*0.2, where LCi is the Gaussian fit line center of the ith record number (data point), and LCm is the median line center for all points sampled during a given night, AND
  3. BKi < BKm*10.0 where BKi is the constant term of the Gaussian fit to the spectral background (we fit for constant, linear, & quadratic terms) of the ith record number (data point), and BKm is the median constant background term for all points sampled during a given night of data, AND
  4. (TRESi - TRESm) < TRESm*3.0, where TRESi is the absolute value of the total residual (spectral data points - Gaussian fit) of the ith record number (data point), and TRESm is the median of the total residual values sampled during a given night of data, AND
  5. AMPi/BKi > 0.2, where AMPi is the Gaussian amplitude maximum of the ith record number (data point) and BKi is the constant background term of the same, ith record number. (We require that the background not be more than 5X brighter than the signal.)

Therefore data are already filtered for bad points. A "FPI Data Quality" assessements is then assigned beyond that. The data user can choose to include or exclude qualities of 1 or 2 as they see fit. It is not immediately evident that surviving data records with quality assignments of "1" or "2" might be auroral (for example), or slight contamination, or just bright twilight.

The quality designation moves from 0 --> 1 if:

The quality designation moves from 1 --> 2 if: