## 5 Discussion
### Suitability for Inversion
and A.T.; Software, A.T.; Validation, A.T. and M.T. ; Formal Analysis, M.T. and A.T.; Investigation, A.T. and M.T. ; Resources, M.T. ; Data Curation, M.T. ; Writing--Original Draft Preparation, M.T. and A.T.; Writing--Review and Editing, M.T. and A.T.; Visualization, A.T. and M.T. ; Supervision, M.T. ; Project Administration, M.T. ; Funding Acquisition, M.T. Research was funded by the NASA PACE mission under Ocean Biology and Biogeochemistry program grant number [NNX15 AN17G] and the HBOI Foundation. Thanks to [PERSON] for kindly providing the data subset from NOMAD, [PERSON] for providing simulated geometry parameters for the expected orbit of the NASA PACE mission, [PERSON] for providing the [PERSON] et al. (2002) endmember phase functions, and to [PERSON] for access to the current PACE Science Team synthetic data sets. The authors thank [PERSON], [PERSON], [PERSON], and [PERSON] for helpful discussions. We also appreciate very thorough and constructive comments by [PERSON], [PERSON], and two other anonymous reviewers. The authors declare no conflict of interest. Figure 7: Comparing measured \(b_{b}/a\) to results of inverting ZTT using least-squares minimization individually at each wavelength. Water Raman effects were removed before applying the ZTT model. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Equation** & **Symbol** & **Value** \\ \hline \multirow{4}{*}{Equation (3)} & \(f_{1}\) & \(-5.98948784303628\times 10^{-8}\) \\  & \(f_{2}\) & \(5.95904039870752\times 10^{-6}\) \\  & \(f_{3}\) & \(-6.975283717755\times 10^{-4}\) \\  & \(f_{4}\) & \(2.07111856771792\times 10^{-3}\) \\  & \(f_{5}\) & \(2.69046922858858\times 10^{-2}\) \\ \hline \multirow{4}{*}{Equation (4)} & \(f_{A1}\) & \(-3.79435531537314\times 10^{-7}\) \\  & \(f_{A2}\) & \(2.42117623125973\times 10^{-4}\) \\  & \(f_{A3}\) & \(-5.76056692150838\times 10^{-2}\) \\  & \(f_{AA}\) & \(6.04944577004764\) \\  & \(f_{A5}\) & \(-236.166389774491\) \\ \hline \multirow{4}{*}{Equation (16)} & \(e_{1}\) & \(-3.37021020153209\times 10^{-12}\) \\  & \(e_{2}\) & \(2.25040435584125\times 10^{-10}\) \\  & \(e_{3}\) & \(-2.25897880448836\times 10^{-9}\) \\  & \(e_{4}\) & \(4.98402568695743\times 10^{-10}\) \\  & \(e_{5}\) & \(-3.67440351688922\times 10^{-8}\) \\  & \(e_{6}\) & \(4.02677827509591\times 10^{-7}\) \\  & \(e_{7}\) & \(-2.5244850402376\times 10^{-8}\) \\  & \(e_{8}\) & \(2.0963187050827\times 10^{-6}\) \\  & \(e_{9}\) & \(-2.43068373614361\times 10^{-5}\) \\  & \(e_{10}\) & \(5.98295717192273\times 10^{-7}\) \\  & \(e_{11}\) & \(-5.36922068813161\times 10^{-5}\) \\  & \(e_{12}\) & \(6.84105803724285\times 10^{-4}\) \\  & \(e_{13}\) & \(-5.34168078899319\times 10^{-6}\) \\  & \(e_{14}\) & \(4.95201118318049\times 10^{-4}\) \\  & \(e_{15}\) & \(-6.09578731164684\times 10^{-3}\) \\  & \(e_{16}\) & \(5.3209760473773\times 10^{-4}\) \\  & \(e_{17}\) & \(-2.91276619216202\times 10^{-2}\) \\  & \(e_{18}\) & \(0.589340234481004\) \\ \hline \multirow{4}{*}{Equation (17)} & \(m^{*}_{A,1}\) & \(0.00611094400155735\) \\  & \(m^{*}_{A,2}\) & \(-0.00104841847272295\) \\  & \(m^{*}_{A,3}\) & \(0.0498255758922950\) \\  & \(m^{*}_{A,4}\) & \(-0.0117672820890625\) \\  & \(m^{*}_{A,5}\) & \(0.128019358635212\) \\  & \(m^{*}_{A,6}\) & \(-0.0429896134897322\) \\  & \(m^{*}_{A,7}\) & \(0.103528931695373\) \\  & \(m^{*}_{A,8}\) & \(0.950921179229178\) \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Equation Coefficients. Full 15 decimal scaled fixed point precision in MATLAB is provided to ensure accuracy in calculations.