body

True

Level

(integer)

(-)

Relative

to Mercury

(-)

Mean radius

(a + b)/2

(AU)

Predicted

Mean radius

r ~ 0.382 n 2

(AU)

Diff

(%)

Momentum

(kg m/s)

de Broglie

wavelength

(m)

E ¯ p

potential

quantum

(J)

E ¯ k

kinetic

quantum

(J)

E ¯ T

Total

quantum

(J)

Δ E ¯ T

(classical- quantum)

(J)

n

n * = ( m mercury n mercury ) n m

r ¯

r ¯ p

100 ( r ¯ p r ¯ ) / r ¯

p ¯ = m S / T

λ b = h / p ¯

= 2 E T

= E T

E T

7.923 × 10 107 m 3 n 2

%

Mercury

8.63E+72

1.00

0.38

0.38

−0.25

1.56E+28

4.24E−62

−7.65E+32

3.82E+32

−3.82E+32

3.06

Venus

1.75E+74

1.37

0.72

0.72

−0.26

1.71E+29

3.89E−63

−5.97E+33

2.99E+33

−2.99E+33

0.00

Earth

2.52E+74

1.62

1.00

1.00

−0.26

1.78E+29

3.72E−63

−5.30E+33

2.65E+33

−2.65E+33

0.02

Mars

3.34E+73

1.99

1.52

1.52

−0.26

1.55E+28

4.29E−62

−3.75E+32

1.87E+32

−1.87E+32

0.65

Ceres

(dwarf)

6.65E+70

2.69

2.76

2.76

−0.26

1.69E+25

3.92E−59

−3.04E+29

1.52E+29

−1.52E+29

0.43

Jupiter

1.83E+77

3.68

5.20

5.19

−0.26

2.48E+31

2.67E−65

−3.24E+35

1.62E+35

−1.62E+35

0.08

Saturn

7.42E+76

4.99

9.53

9.51

−0.26

5.48E+30

1.21E−64

−5.29E+34

2.65E+34

−2.65E+34

0.19

Uranus

1.61E+76

7.08

19.18

19.13

−0.26

5.90E+29

1.12E−63

−4.02E+33

2.01E+33

−2.01E+33

0.16

Neptune

2.37E+76

8.86

30.07

29.99

−0.26

5.56E+29

1.19E−63

−3.02E+33

1.51E+33

−1.51E+33

0.00

Pluto

(dwarf)

3.46E+72

10.07

38.82

38.72

−0.24

6.13E+25

1.08E−59

−3.00E+29

1.50E+29

−1.50E+29

4.45

Orcus

2.35E+71

10.08

38.91

38.81

−0.25

4.17E+24

1.59E−58

−2.03E+28

1.01E+28

−1.01E+28

3.65

Ixion

1.43E+71

10.10

39.09

38.99

−0.25

2.52E+24

2.63E−58

−1.23E+28

6.13E+27

−6.13E+27

4.18

Haumea

(dwarf)

1.11E+72

10.56

42.70

42.59

−0.25

1.80E+25

3.68E−59

−8.33E+28

4.16E+28

−4.16E+28

2.80

2002TX300

1.50E+71

10.59

42.97

42.86

−0.26

2.44E+24

2.72E−58

−1.12E+28

5.58E+27

−5.58E+27

1.14

2005UQ513

2.27E+71

10.61

43.08

42.97

−0.26

3.69E+24

1.79E−58

−1.69E+28

8.45E+27

−8.45E+27

1.55

Varuna

1.53E+71

10.61

43.10

42.99

−0.26

2.49E+24

2.66E−58

−1.13E+28

5.66E+27

−5.66E+27

0.19

Quaoar

1.76E+71

10.67

43.58

43.47

−0.26

2.84E+24

2.33E−58

−1.28E+28

6.41E+27

−6.41E+27

0.11

Makemake

(dwarf)

8.80E+71

10.86

45.13

45.02

−0.26

1.36E+25

4.87E−59

−6.10E+28

3.05E+28

−3.05E+28

1.91

Gonggong

9.73E+71

12.82

62.82

62.82

0.00

9.85E+24

6.73E−59

−4.09E+28

2.04E+28

−2.04E+28

15.36

Eris (dwarf)

5.59E+72

12.98

64.47

64.39

−0.12

5.66E+25

1.17E−59

−2.26E+29

1.13E+29

−1.13E+29

12.22

Gǃkúnǁʼhòmdímà

2.48E+71

13.38

68.43

68.41

−0.03

2.33E+24

2.85E−58

−9.19E+27

4.59E+27

−4.59E+27

14.61

2005QU182

5.07E+71

16.14

98.69

99.55

0.87

2.95E+24

2.25E−58

−1.07E+28

5.33E+27

−5.33E+27

24.33

Sedna

6.05E+72

33.07

399.29

417.79

4.63

7.24E+24

9.15E−59

−1.48E+28

7.41E+27

−7.41E+27

33.09