Correction: Godzieba, D.A.; Radice, D. High-Order Multipole and Binary Love Number Universal Relations. Universe 2021, 7, 368

The authors wish to make the following corrections to their paper [1]:

In Section 4, we accidentally swapped the numerators in the definitions of the fitting functions $\alpha \left(x\right)$ and $\beta \left(x\right)$ in Equation (8). The definitions are corrected as

$$\alpha \left(x\right)=\frac{{\sum }_{k=0}^3{p}_k{x}^k}{{\sum }_{k=0}^2{q}_k{x}^k}\mathrm{km} \mathrm{and} \beta \left(x\right)=\frac{{\sum }_{k=0}^2{p}_k{x}^k}{{\sum }_{k=0}^2{q}_k{x}^k},$$

(8)

where $x=(\mathcal{M}/M_{\odot }-{\mu }_{\mathcal{M}})/{\sigma }_{\mathcal{M}}$, ${\mu }_{\mathcal{M}}=1.1537$, and ${\sigma }_{\mathcal{M}}=0.15927$.

As a consequence of this error,

Table 3. Fitting parameters $\overrightarrow{p}=\left\{p_k\right\}$ and $\overrightarrow{q}=\left\{q_k\right\}$ for $\alpha$ and $\beta$ as functions of $x=(\mathcal{M}/M_{\odot }-{\mu }_{\mathcal{M}})/{\sigma }_{\mathcal{M}}$, where ${\mu }_{\mathcal{M}}=1.1537$ and ${\sigma }_{\mathcal{M}}=0.15927$ for several values of M. The fitting functions are given in Equation (3).

$\mathit{M}/{\mathit{M}}_{\odot }$		${\mathit{p}}_0$	${\mathit{p}}_1$	${\mathit{p}}_2$	${\mathit{p}}_3$	${\mathit{q}}_0$	${\mathit{q}}_1$	${\mathit{q}}_2$
1.4	$\beta \left(x\right)$	$404.40$	$-96.991$	$26.475$	-	$65.755$	$-15.259$	1
	$\alpha \left(x\right)$	$224.75$	$-24.553$	$11.832$	$-1.8434$	$19.758$	$-1.9914$	1
1.5	$\beta \left(x\right)$	$502.01$	$-119.44$	$32.193$	-	$79.153$	$-16.598$	1
	$\alpha \left(x\right)$	$282.86$	$-29.568$	$12.893$	$-2.2628$	$24.833$	$-2.3357$	1
1.6	$\beta \left(x\right)$	$642.10$	$-152.88$	$40.447$	-	$98.054$	$-18.391$	1
	$\alpha \left(x\right)$	$386.63$	$-42.102$	$14.780$	$-3.0054$	$33.942$	$-3.2743$	1
1.7	$\beta \left(x\right)$	$877.56$	$-210.98$	$54.468$	-	$129.67$	$-21.419$	1
	$\alpha \left(x\right)$	$598.97$	$-73.554$	$18.854$	$-4.5818$	$52.655$	$-5.7193$	1
1.8	$\beta \left(x\right)$	$1442.2$	$-356.28$	$88.775$	-	$206.20$	$-29.608$	1
	$\alpha \left(x\right)$	$1291.3$	$-192.50$	$32.831$	$-10.064$	$113.87$	$-15.207$	1
1.9	$\beta \left(x\right)$	$2734.1$	$-709.62$	$174.36$	-	$380.72$	$-46.815$	1
	$\alpha \left(x\right)$	$3282.2$	$-592.78$	$80.705$	$-27.980$	$291.00$	$-48.054$	1
2	$\beta \left(x\right)$	63,061	$-\mathrm{19,071}$	$3663.7$	-	$8959.4$	$-1478.5$	1
	$\alpha \left(x\right)$	$9986.9$	$-2011.9$	$232.61$	$-82.091$	$887.58$	$-167.09$	1
2.14	$\beta \left(x\right)$	93,209	$-\mathrm{34,415}$	$6102.8$	-	12,686	$-2286.4$	1
	$\alpha \left(x\right)$	58,353	$-\mathrm{18,272}$	$1904.6$	$-609.58$	$5234.8$	$-1543.2$	1

in Section 4 has the fitting parameters for $\alpha \left(x\right)$ and $\beta \left(x\right)$ incorrectly labelled. Additionally, it was not originally made clear in the table that we fix $q_2=1$ for all fits. The table is corrected to Table 3. All other results are unaffected by these corrections. The authors would like to apologize for any inconvenience caused to the readers by these changes.