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 g₁ gravity vector in function of the W1 equipotential surface passing through the center of the equipment, and the g₂ 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 g₁ gravity vector in function of the W₁ equipotential surface passing through the center of the instrument, and the g₂ gravity vector in function of the W₂ 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)...

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[Corrected article ] 10.1590/s1982-21702021000s00020