1 Correction to: Journal of Geodesy (2019) 93:1985–2001 https://doi.org/10.1007/s00190-019-01297-z

In the version of the article originally published, Eqs. (2), (3), (10) and (20) were shown incorrectly. The corrected equations are the following:

$$ \sigma_{{\varphi_{f} }} = \sqrt{\langle\varphi_{f}^{2}\rangle - \langle\varphi_{f}\rangle^{2} } $$
(2)
$$ \sigma_{{\hat{\emptyset }_{f} }} = \sqrt{\langle\hat{\emptyset }_{f}^{2}\rangle - \langle\hat{\emptyset }_{f}\rangle^{2} } $$
(3)
$$ M\left( \alpha \right) = 1 /\sqrt {1 - \left( {\frac{{R_{E} }}{{R_{E} + h}}\cos \left( \alpha \right)} \right)^{2} } $$
(10)
$$ \sigma_{{\emptyset_{f} }} = \sqrt{\langle\emptyset_{f}^{2}\rangle - \langle\emptyset_{f}\rangle^{2} } $$
(20)

These corrections do not affect any of the results or other expressions in the paper. We are grateful to Dr. Adria Rovira-Garcia for pointing out the above errors.