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Determination of the Topography-Bounded Atmospheric Gravity Correction for the Area of Poland

Marek Trojanowicz
Marek Trojanowicz
, 
Monika Kasprzak
Monika Kasprzak
 und 
Karolina Jaworska
Karolina Jaworska
   | 06. Juli 2024
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Online veröffentlicht: 06. Juli 2024
Seitenbereich: 64 - 76
Eingereicht: 05. Apr. 2024
Akzeptiert: 02. Juli 2024
DOI: https://doi.org/10.2478/arsa-2024-0005
Schlüsselwörter
© 2024 Marek Trojanowicz et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1.

The Ω and Θ volumes adopted to determine the gETA component
The Ω and Θ volumes adopted to determine the gETA component

Figure 2.

The δgSA values for points with Hp = 2,500 m (red line) and Hp = 8,500 m (black line). The symbols in both charts indicate the dh values for which the calculations were performed.
The δgSA values for points with Hp = 2,500 m (red line) and Hp = 8,500 m (black line). The symbols in both charts indicate the dh values for which the calculations were performed.

Figure 3.

Relief maps of the study areas for a) the whole areas of elaboration and b) the Tatra mountains
Relief maps of the study areas for a) the whole areas of elaboration and b) the Tatra mountains

Figure 4.

The correlation between the height of computation points and the values of gTA – navy blue, gSA – green and gETA – red
The correlation between the height of computation points and the values of gTA – navy blue, gSA – green and gETA – red

Figure 5.

The gETA component: a) for the whole area of elaboration and b) for the Tatra mountains
The gETA component: a) for the whole area of elaboration and b) for the Tatra mountains

Figure 6.

The correlations between the height of computation points and the corrections: δgatmETA \delta g_{{\rm{atm}}}^{{\rm{ETA}}} – black and δgatm– orange
The correlations between the height of computation points and the corrections: δgatmETA \delta g_{{\rm{atm}}}^{{\rm{ETA}}} – black and δgatm– orange

Figure 7.

The δgatmETA \delta g_{{\rm{atm}}}^{{\rm{ETA}}} corrections a) for the whole area of elaboration and b) for the Tatra mountains
The δgatmETA \delta g_{{\rm{atm}}}^{{\rm{ETA}}} corrections a) for the whole area of elaboration and b) for the Tatra mountains

Figure 8.

The differences Δδgatm a) for the whole area of elaboration and b) for the Tatra mountains
The differences Δδgatm a) for the whole area of elaboration and b) for the Tatra mountains

The coefficients of model (Eq. 14) used in the calculations

Coefficient Value
a0 1.22499986
a1 −1.17606554 × 10−4
a2 4.32023892 × 10−9
a3 −7.34343434 × 10−14
a4 5.18648018 × 10−19

The statistics of the δgatm and δgatmETA \delta g.{{\rm{atm}}}^{{\rm{ETA}}} corrections as well as the differences, Δδgatm (mGal)

min max max − min mean st dev
δgatm 0.643 0.875 0.232 0.833 0.039
δgatmETA {\boldsymbol {\delta g}}_{{\bf{atm}}}^{{\bf{ETA}}} 0.748 0.886 0.138 0.865 0.021
Δδgatm −0.105 −0.011 0.094 −0.032 0.018

The statistics of the determined components of atmospheric gravity correction (mGal)

min max mean st dev
gTA 0.012 0.108 0.033 0.019
gSA 0.000 0.233 0.042 0.040
gETA −0.012 0.125 0.009 0.021
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