Figs

$G_N$

$V_{0N}$

$R{E}_N$

${\Omega }_N$

$M_N$

N

$w\left(r\right)$

2

1.5

1.5

1.5

0.25

0.25

0.25

0.9

0.9

0.9

10

10

10

0.35

0.35

0.35

1

2

3

$0.3281-0.1281r^2-0.0128r^2\left(1-r^2\right)$

$0.3040-0.1040r^2-0.0038r^2\left(1-r^2\right)$

$0.2875-0.0875r^2-0.0117r^2\left(1-r^2\right)$

3

1.5

1.5

1.5

0.25

0.25

0.25

0.9

0.9

0.9

10

10

10

0.35

0.65

0.95

2

2

2

$0.3342-0.1342r^2-0.0149r^2\left(1-r^2\right)$

$0.3282-0.1282r^2-0.0120r^2\left(1-r^2\right)$

$0.3221-0.1221r^2-0.0091r^2\left(1-r^2\right)$

4

1.5

1.5

1.5

0.25

0.35

0.45

0.9

0.9

0.9

10

10

10

0.35

0.35

0.35

2

2

2

$0.3996-0.1496r^2-0.0289r^2\left(1-r^2\right)$

$0.4919-0.1419r^2-0.0253r^2\left(1-r^2\right)$

$0.5838-0.1338r^2-0.0216r^2\left(1-r^2\right)$

5

1.5

1.5

1.5

0.25

0.25

0.25

0.9

0.9

0.9

10

20

30

0.35

0.35

0.35

2

2

2

$0.3281-0.1281r^2-0.0128r^2\left(1-r^2\right)$

$0.3148-0.1148r^2-0.0191r^2\left(1-r^2\right)$

$0.3066-0.1066r^2-0.0215r^2\left(1-r^2\right)$

6

1.5

1.5

1.5

0.25

0.25

0.25

0.3

0.6

0.9

10

10

10

0.35

0.35

0.35

2

2

2

$0.2406-0.0406r^2-0.0058r^2\left(1-r^2\right)$

$0.2746-0.0746r^2-0.0047r^2\left(1-r^2\right)$

$0.2998-0.0998r^2-0.0036r^2\left(1-r^2\right)$

7

1.5

2.0

2.5

0.25

0.25

0.25

0.9

0.9

0.9

10

10

10

0.35

0.35

0.35

2

2

2

$0.2582-0.0582r^2-0.0038r^2\left(1-r^2\right)$

$0.3065-0.1065r^2-0.0069r^2\left(1-r^2\right)$

$0.3438-0.1438r^2-0.0210r^2\left(1-r^2\right)$