Models of the geomagnetic field on the territory of the Republic of Macedonia. S. Panovska (1) , T. Delipetrov (2) , M. Delipetrov (2) , B. Delipetrov (1) University “Goce Delcev” – Stip (1) Faculty of computer science
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S. Panovska(1), T. Delipetrov(2), M. Delipetrov(2), B. Delipetrov(1)
University “Goce Delcev” – Stip
(1) Faculty of computer science
(2) Faculty of mining, geology and polytechnics
Republic of Macedonia
Geomagnetic Macedonia potential
Т Macedonia errestrial measurement
- The first three measurements were done in 2002 on Mt. Galicica, Mt. Plackovica and Ponikva.
- For covering of all territory of Republic of Macedonia, in 2003 net of 15 repeat stations was made and this net was measured in 2004 also.
Location of the repeat stations in Macedonia
Satellite measurements of magnetic field Macedonia
SELECTION OF SATELLITE DATA Macedonia
Selection of data was done for CHAOS (CHAMP, Oersted и SAC-C) model of the Earth magnetic field, made from satellite data.
- Oersted scalar and vector data between March 2000 and December 2005,
- CHAMP vector and scalar data between August 2000 and December 2005,
- SAC-C scalar data between January 2001 and December 2004.
Location of the scalar Macedonia (▲) satellite data used in SCHA
Location of the vector (♦) satellite data used in SCHA
SCHA model of geomagnetic field of the Balkan Peninsula with central position of the Republic of Macedonia
SCHA model of geomagnetic field of the Balkan Peninsula with attention to the Republic of Macedonia was made according to the three – component measurements of the net of repeat stations in the Republic of Macedonia from 2002 to 2004, as well as the selected data from the satellite measurements of Oersted, CHAMP и SAC-C.
Derived model shows X, Y, Z and F component of the main magnetic field for the epochs 2000.0 to 2007.0. The model is for development of the magnetic potential in spherical harmonics of the spherical cap with half angle of 8о.
Because of the small territory of the Republic of Macedonia, model of spherical harmonical analyses is made for half angle of 8o of the spherical cap, in order to cover the most important harmonics (the smallest degree is close to 12 with maximal spatial index K = 2). The final model has total of 27 coefficients:
Parameters of the model: K = 2 , L = 1, Macedonia
Wave length of the field is in range: 1484 km – 3146 km
After the testing, parameters which define the best model with fitting the input data and their spatial and time behaviour are К = 2, L = 1, covering the period between 2000.0 – 2007.0. The referent epoch is 2003.5.
Number of data used in SCHA model
RMS values of SCHA and IGRF models (nT)
Maps of Macedonia
X (up left),
Y (up right),
Z (down left) and
F (down right)
components of the SCHA model in nT for the epoch 2003.5 at sea level
Polynomial analysis of the geomagnetic field on the territory of the Republic of Macedonia
Coefficients of normal magnetic field for epoch 2003.5
on the territory of the Republic of Macedonia on sea level
Maps of X territory of the Republic of Macedonia (up left), Y (up right), T (down left) and I (down right) components
of the normal field for the epoch 2003.5 at sea level (2 order polynomial)
Correlation of the models territory of the Republic of Macedonia
Statistical analysis of differences between the models territory of the Republic of MacedoniaIGRF, SCHA
and polynomial model with measured data of T, D, Ifor epoch 2003.5
Average value of sample: