Research Article

Stability of the Moons Orbits in Solar System in the Restricted Three-Body Problem

Table 1

Comparison of the averaged parameters of the moons in Solar system.

Masses of the planets (Solar system), kgRatio (Sun) to mass (planet)Distance (between Sun and planet), AUParameter , ratio (moon) to mass (planet)Distance (between moon and planet) in 103 kmParameter

Mercury,  
3.3 ⋅ 1023
0.387 AU

Venus,  
4.87 ⋅ 1024
0.723 AU

Earth,  
5.97 ⋅ 1024
1 Earth = 332,946 kg1 AU = 149,500,000 km 383.4Moon:  

Mars,  
6.42 ⋅ 1023
1.524 AU(1) Phobos:
0.02 ⋅ 10−6
(2) Deimos:  
0.003 ⋅ 10−6
(1) Phobos:  
9.38  
(2) Deimos:  
23.46
(1) Phobos:  
0.22 ⋅ 10−6
(2) Deimos:  
3.4 ⋅ 10−6

Jupiter,  
1.9 ⋅ 1027
5.2 AU(1) Ganymede:  

(2) Callisto:  

(3) Io:  

(4) Europa:  
25 ⋅ 10−6
(1) Ganymede:  
1,070
(2) Callisto:  
1,883
(3) Io:  
422  
(4) Europa:  
671
(1) Ganymede:  
2.73 ⋅ 10−6
(2) Callisto:  
14.89 ⋅ 10−6
(3) Io:  
0.17 ⋅ 10−6
(4) Europa:  
0.67 ⋅ 10−6

Saturn,  
5.69 ⋅ 1026
9.54 AU(1) Titan:  

(2) Rhea:  
4.1 ⋅ 10−6
(3) Iapetus:  
3.4 ⋅ 10−6
(4) Dione:  
1.9 ⋅ 10−6
(5) Tethys:  
1.09 ⋅ 10−6
(6) Enceladus:  
0.19 ⋅ 10−6
(7) Mimas:  
0.07 ⋅ 10−6
(1) Titan:  
1,222
(2) Rhea:  
527  
(3) Iapetus:  
3,561
(4) Dione:  
377  
(5) Tethys:  
294.6  
(6) Enceladus:  
238  
(7) Mimas:  
185.4
(1) Titan:  
2.2 ⋅ 10−6
(2) Rhea:  
0.18 ⋅ 10−6
(3) Iapetus:  

(4) Dione:  
0.07 ⋅ 10−6
(5) Tethys:  
0.03 ⋅ 10−6
(6) Enceladus:  
0.016 ⋅ 10−6
(7) Mimas:  
0.008 ⋅ 10−6

Uranus,  
8.69 ⋅ 1025
19.19 AU(1) Titania:  
40 ⋅ 10−6
(2) Oberon:  
35 ⋅ 10−6
(3) Ariel:  
16 ⋅ 10−6
(4) Umbriel:  
13.49 ⋅ 10−6
(5) Miranda:  
0.75 ⋅ 10−6
(1) Titania:  
436  
(2) Oberon:  
584  
(3) Ariel:  
191  
(4) Umbriel:  
266.3  
(5) Miranda:  
129.4
(1) Titania:  
0.08 ⋅ 10−6
(2) Oberon:  
0.2 ⋅ 10−6
(3) Ariel:  
0.01 ⋅ 10−6
(4) Umbriel:  
0.019 ⋅ 10−6
(5) Miranda:  
0.002 ⋅ 10−6

Neptune,  
1.02 ⋅ 1026
30.07 AU(1) Triton:  

(2) Proteus:  
0.48 ⋅ 10−6
(3) Nereid:  
0.29 ⋅ 10−6
(1) Triton:  
355  
(2) Proteus:  
118  
(3) Nereid:  
5,513
(1) Triton:  
0.01 ⋅ 10−6
(2) Proteus:  
0.0004 ⋅ 10−6
(3) Nereid:  
35.81 ⋅ 10−6