1 Correction to: Celest Mech Dyn Ast (2018) 130:22 https://doi.org/10.1007/s10569-017-9805-5

Two separate errors have been made. First, in Figs. 1 and 2 of Archinal et al. (2018), the expression giving the right ascension of the node Q incorrectly has a negative sign. It should read “90° + α0”. The corrected versions of both figures are shown below along with the original captions, which were not affected by the error.

Fig. 1
figure 1

Reference system used to define orientation of the planets and their satellites. For Ẇ(t) > 0, body rotation is prograde (e.g. Mercury, Jupiter). For Ẇ(t) < 0, body rotation is retrograde (e.g. Venus, Uranus)

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Fig. 2
figure 2

Reference system used to define the orientation of dwarf planets, minor planets, their satellites, and comets

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Table 2 Recommended values for the direction of the north pole of rotation and the prime meridian of the satellites
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Second, there are two mistakes in the equation for the prime meridian position (W) of Mars’ satellite Phobos reported in Table 2 of the report. This equation is based on the derivation by Stark et al. (2017) but with a correction to the prime meridian constant W0 due to the forced libration in longitude, i.e. based on equations 3 and 10 of Burmeister et al. (2018). However, at present the prime meridian of Phobos is defined dynamically, i.e. the prime meridian is defined by the orientation of Phobos with respect to Mars center of mass at the time the satellite is passing its pericenter. To maintain this definition, the correction term for W0 introduced by Burmeister et al. [2018; “pλ sin(189.6327156°)”] is not appropriate and the value of the prime meridian constant (first term in the equation for W) should have read “35.18774440”. In addition, the sign of the last term [“1.143 sin(M5)”] was incorrectly shown as positive and should have been negative.

We have reproduced the corresponding portion of Table 2 below, correcting the equation for W, and including the full set of equations for the orientation of Phobos.

Also in this table (not shown) is a minor typographical error, the declination of the pole position for Deimos, instead of just “δ” should read “δ0”.

The IAU Working Group on Cartographic Coordinates and Rotational Elements takes full responsibility for and regrets these errors.