Two birds with one stone: Simultaneous realization of Lunar Coordinate Time and lunar geoid time with a single orbital clock

Open Access

Fig. 1

Left panel: de-synchronizations ( $Δ^{*} = τ_{p}^{*} - τ_{s}$ $Mathematical equation: ${\Delta ^*} = \tau _{\rm{p}}^* - {\tau _s}$$ ) and frequency offsets (∆f^∗) of four numerically simulated time-aligned orbits with different initial inclinations. Right panel: corrected $Δ_{c}^{*} = τ_{p,c}^{*} - τ_{s}$ $Mathematical equation: $\Delta _{\rm{c}}^* = \tau _{{\rm{p,c}}}^* - {\tau _s}$$ and $Δ f_{c}^{*}$ $Mathematical equation: $\Delta f_{\rm{c}}^*$$ for the same four simulated orbits by accounting for the deviation of the mean orbital elements in our simulations from the ones required by the time-aligned orbits.

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