Erratum of the article:
FRANÇA, R.M.; KLEIN, I.; VEIGA, L.A.K. The influence of the deflection of the vertical on geodetic surveys in Brazil. Bulletin of Geodetic Sciences. 27(spe): e2021020, 2021. DOI: 10.1590/s1982-21702021000s00020.
On the first page, where it reads:
A influência da deflexão da vertical nas pesquisas geodéticas no Brasil
Should read:
A influência do desvio da vertical nas medições geodésicas no Brasil
On page 4, where it reads:
Therefore, the transformation of observations between local systems to the global geocentric system without considering the rotation from deflection of the vertical, will result in a systematic error, and, consequently, will propagate in the geodetic positioning, generating errors of difficult identification and consistent adjustments (Ghilani 2010 p. 487 and 495).
Should read:
Therefore, the transformation of observations between local systems to the global geocentric system without considering the rotation from deflection of the vertical, will result in a systematic error, and, consequently, will propagate in the geodetic positioning, generating errors of difficult identification and inconsistent adjustments (Ghilani 2010 p. 487 and 495).
On page 5, where it reads:
As stated by Sabri, Sudarsono and Indriana (2019), the θ can be determined by geometric and physical observations. For geometric observations, the θ is obtained by comparing the astronomical and geodetic coordinates (astrogeodetic method). For physical observations, the deflection of the vertical is determined by gravimetric observations associated with GNSS observations.
Should read:
As stated by Sabri, Sudarsono and Indriana (2019), the θ can be determined by geometric and physical observations. For geometric observations, the θ is obtained by comparing the astronomical and geodetic coordinates (astrogeodetic method). For physical observations, the θ is determined by gravimetric observations associated with GNSS observations.
On page 7, where it reads:
Since we have the g 1 gravity vector in function of the W1 equipotential surface passing through the center of the equipment, and the g 2 gravity vector in function of the W2 equipotential surface passing at the point above the terrestrial surface (Figure 1), we will have different values of the θ considering the center of the instrument or the geodetic mark, which are at different heights.
Should read:
Since we have the g 1 gravity vector in function of the W 1 equipotential surface passing through the center of the instrument, and the g 2 gravity vector in function of the W 2 equipotential surface passing at the geodetic mark above the terrestrial surface (Figure 1), we will have different values of the θ considering the center of the instrument or the geodetic mark, which are at different heights.
On page 8, where it reads:
Another important aspect that must be analyzed is the variation of the among the points occupied by the...
Should read:
Another important aspect that must be analyzed is the variation of the ε among the points occupied by the...
On page 8, where it reads:
Table 2 shows that even at distances of 2 km (uncommon in measurements with total station), the variation of
the was less than....
Should read:
Table 2 shows that even at distances of 2 km (uncommon in measurements with total station), the variation of the ε was less than...
On page 8, where it reads:
Table 2: Variation of the as function of the distance between total station and reflector in maximum θ region.
Should read:
Table 2: Variation of the ε as function of the distance between total station and reflector in maximum θ region.
On page 9, where it reads:
For the zenith angles, the closer to 90° (horizontal line of sight), the lower will be the influence of the θ. Klein et al. (2017) show a real case of geodetic network implementation in an urban area...
Should read:
For the zenith angles, the closer to 90° (horizontal line of sight), the lower will be the influence of the θ. Klein et al. (2017) show a real case of geodetic network densification in an urban area...
On page 11, where it reads:
In order to illustrate the behavior of the influence of the θ on distance, and consequently on geodetic horizontal positioning for the entire Brazilian territory, it were calculated the values of in parts per million (ppm) for zenith angles of 85° and 70° (Figures 10 and 11)...
Should read:
In order to illustrate the behavior of the influence of the θ on distance, and consequently on geodetic horizontal positioning for the entire Brazilian territory, it were calculated the values of ΔLEDε in parts per million (ppm) for zenith angles of 85° and 70° (Figures 10 and 11)...
Publication Dates
-
Publication in this collection
22 Sept 2021 -
Date of issue
2021