The p-Laplacian as a framework for generalizing Newtonian gravity and Milgromian gravitation

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Table B.1.

Velocity dispersion for Milky Way dSphs.

Galaxy	Lelli+17 (1)	SL21 (2)	this work (3)
	[km s⁻¹]	[km s⁻¹]	[km s⁻¹]
Carina	$6 . 6_{- 1.2}^{+ 1.2}$ $6.6^{+1.2}_{-1.2}$	$6 . 44_{- 0.26}^{+ 0.20}$ $6.44^{+0.20}_{-0.26}$	6.59
Draco	$9 . 1_{- 1.2}^{+ 1.2}$ $9.1^{+1.2}_{-1.2}$	$10 . 0_{- 0.50}^{+ 0.53}$ $10.0^{+0.53}_{-0.50}$	9.72
Sculptor	$9 . 2_{- 1.1}^{+ 1.1}$ $9.2^{+1.1}_{-1.1}$	$9 . 03_{- 0.18}^{+ 0.19}$ $9.03^{+0.19}_{-0.18}$	9.12
Sextans	$7 . 9_{- 1.3}^{+ 1.3}$ $7.9^{+1.3}_{-1.3}$	$7 . 13_{- 0.29}^{+ 0.22}$ $7.13^{+0.22}_{-0.29}$	7.96
Ursa Minor	$9 . 5_{- 1.2}^{+ 1.2}$ $9.5^{+1.2}_{-1.2}$	$11 . 54_{- 0.58}^{+ 0.61}$ $11.54^{+0.61}_{-0.58}$	9.94
Bootes I	$4 . 60_{- 0.60}^{+ 0.80}$ $4.60^{+0.80}_{-0.60}$	$2 . 41_{- 0.51}^{+ 0.49}$ $2.41^{+0.49}_{-0.51}$	4.70
Canes V. I	$7 . 60_{- 0.40}^{+ 0.40}$ $7.60^{+0.40}_{-0.40}$	$7 . 66_{- 0.53}^{+ 0.49}$ $7.66^{+0.49}_{-0.53}$	7.85
Canes V. II	$4 . 6_{- 1.0}^{+ 1.0}$ $4.6^{+1.0}_{-1.0}$	$4 . 59_{- 0.96}^{+ 1.04}$ $4.59^{+1.04}_{-0.96}$	4.85
Coma B.	$4 . 60_{- 0.80}^{+ 0.80}$ $4.60^{+0.80}_{-0.80}$	$4 . 59_{- 0.77}^{+ 0.82}$ $4.59^{+0.82}_{-0.77}$	4.97
Hercules	$3 . 70_{- 0.90}^{+ 0.90}$ $3.70^{+0.90}_{-0.90}$	$5 . 09_{- 0.86}^{+ 0.91}$ $5.09^{+0.91}_{-0.86}$	3.75
Leo IV	$3 . 3_{- 1.7}^{+ 1.7}$ $3.3^{+1.7}_{-1.7}$	$3 . 3_{- 1.7}^{+ 1.7}$ $3.3^{+1.7}_{-1.7}$	3.36
Segue I	$3 . 7_{- 1.1}^{+ 1.4}$ $3.7^{+1.4}_{-1.1}$	$4 . 3_{- 1.1}^{+ 1.1}$ $4.3^{+1.1}_{-1.1}$	4.18
Ursa Major I	$7 . 6_{- 1.0}^{+ 1.0}$ $7.6^{+1.0}_{-1.0}$	$7 . 66_{- 1.02}^{+ 0.91}$ $7.66^{+0.91}_{-1.02}$	8.36
Ursa Major II	$6 . 7_{- 1.4}^{+ 1.4}$ $6.7^{+1.4}_{-1.4}$	$6 . 8_{- 1.5}^{+ 1.4}$ $6.8^{+1.4}_{-1.5}$	7.51
Willman I	$4 . 00_{- 0.80}^{+ 0.80}$ $4.00^{+0.80}_{-0.80}$	$4 . 02_{- 0.91}^{+ 0.86}$ $4.02^{+0.86}_{-0.91}$	4.63
Reticulum II	$3 . 2_{- 0.5}^{+ 1.6}$ $3.2^{+1.6}_{-0.5}$	$3 . 31_{- 0.69}^{+ 0.71}$ $3.31^{+0.71}_{-0.69}$	3.48
Horologium I	$4 . 9_{- 0.9}^{+ 2.8}$ $4.9^{+2.8}_{-0.9}$	$4 . 9_{- 1.0}^{+ 1.0}$ $4.9^{+1.0}_{-1.0}$	5.58
Fornax	$11 . 70_{- 0.90}^{+ 0.90}$ $11.70^{+0.90}_{-0.90}$	$6 . 99_{- 1.06}^{+ 0.91}$ $6.99^{+0.91}_{-1.06}$	11.18
Leo I	$9 . 20_{- 0.40}^{+ 0.40}$ $9.20^{+0.40}_{-0.40}$	$8 . 7_{- 2.7}^{+ 2.6}$ $8.7^{+2.6}_{-2.7}$	8.75
Leo II	$6 . 60_{- 0.70}^{+ 0.70}$ $6.60^{+0.70}_{-0.70}$	$4 . 3_{- 1.01}^{+ 0.98}$ $4.3^{+0.98}_{-1.01}$	6.54
Leo T	$7 . 50_{- 1.60}^{+ 1.60}$ $7.50^{+1.60}_{-1.60}$	$10 . 1_{- 0.00}^{+ 0.00}$ $10.1^{+0.00}_{-0.00}$	7.77

Notes. (1) Lelli et al. (2017); (2) Safarzadeh & Loeb (2021); (3) calculated from data by Lelli et al. (2017) with Eq. (30)

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