The Orbit Of The Moons Of Uranus By Paul Nethercott, April 2010 θ Orbital Inclination Capture Cross Section z Area A w Area B Angle α Uranus Ecliptic - Equator 18 Moons X Y Eccentricity D Orbital Radius www.Creation.com R = Radius of Solar System T = Search time, Seconds Φ = Nebula Disk thickness A = Area A V = planets orbital velocity Length of W, Triangle θXW Area B, Triangle θXW P = Capture Probability In 5 billion years Length of Z, Triangle θDZ Area of Triangle θDZ M = Mass of spare moons needed Φ = Nebula Disk thickness m = Mass of captured moon Area A

N W E Sun S E N S Sun W The Tilt Of Uranus’s Axis Old Axis Before Projectile Collision Projectile Old Equator W E Sun Uranus 18 Moons S The Tilt Of Uranus’s Axis E After Projectile Collision New Equator N New Axis S Sun 18 Moons Uranus W www.Creation.com

W 18 Moons N S E Ψ = Total orbital configuration probability Ψ = eccentricity × inclination × clockwise Prograde/retrograde Probability Multiply all 18 probabilities W New Equator 18 Moons Projectile N New Axis S Uranus 18 Moons E Inclination Probability Multiply all 18 probabilities Eccentricity Probability Multiply all 18 probabilities www.Creation.com

5 Billion Year Capture Probabilities Cross Section [Square Km’s] Moon’s Name Capture Chance [1/x] Capture - Years Area Chance [1/x] Cross Section [Square Km’s] Cordelia 3.34922E+32 1.67461E+42 5.30652E+34 476 Ophelia 1.13E+29 5.64999E+38 1.79037E+31 25,934 Bianca 2.58128E+30 1.29064E+40 4.08979E+32 5,426 Cressida 1.46853E+34 7.34264E+43 2.32674E+36 72 Desdemona 3.0931E+32 1.54655E+42 4.90072E+34 496 Juliet 3.15798E+31 1.57899E+41 5.00351E+33 1,551 Portia 6.00367E+33 3.00183E+43 9.51224E+35 113 Rosalind 4.428E+31 2.214E+41 7.01574E+33 1,310 Cupid 1.88492E+30 9.42462E+39 2.98648E+32 6,350 Belinda 6.60278E+33 3.30139E+43 1.04615E+36 107 Perdita 2.03047E+36 1.01524E+46 3.21709E+38 6 Puck 1.24227E+31 6.21135E+40 1.96826E+33 2,473 Mab 9.81208E+28 4.90604E+38 1.55463E+31 27,831 Miranda 1.17118E+26 5.85591E+35 1.85563E+28 805,571 Ariel 7.69409E+27 3.84705E+37 1.21906E+30 99,389 Umbriel 4.71837E+29 2.35918E+39 7.4758E+31 12,692 Titania 1.97445E+26 9.87227E+35 3.12833E+28 620,430 Oberon 1.30453E+27 6.52263E+36 2.0669E+29 241,374 www.Creation.com

Energy = 50,183 Moon X 86.810 1.0000 Planet Mass Moon X, Mass Ratio T=Orbital Period, Seconds R= Orbital Radius, metres M = Mass of planet, kilograms m = Mass of Moon, kilograms G= Gravitational constant T = 3,882,476 seconds 100 Uranus Radii 2,555,900 Kilometres Uranus Moon’s Orbital Kinetic Energy [Units, Sun’s Energy output per second] Energy = 50,183 Moon X Planet Mass Moon X, Mass Ratio Ganymede 15.000 5.7873 Titan 13.452 6.4533 Mercury 33.030 2.6282 Mars 64.210 1.3520 Moon X 86.810 1.0000 Venus 486.900 0.1783 Earth 597.600 0.1453 V=Moon’s Orbital Velocity, metres/second Velocity = 2108.703 metres/second www.Creation.com

Average Inclination Velocity Inclination Period T= Average Inclination Period, Seconds M = Mass of Moon X, kg’s r= Other moon’s orbital radius, metres G= Gravitational constant U = Uranus radius, metres R = Moon D, orbital radius x = Moon X orbital radius [Number of Uranus Radii] p = Radius of Moon X r = Radius of Moon D A = Average Distance Average Inclination Velocity V = Average Inclination Velocity, Metres/Second M = Mass of Moon X, kg’s r= Other moon’s orbital radius, metres G= Gravitational constant Minimum Inclination Velocity V=Moon’s Minimum Inclination Velocity, metres/second Maximum Inclination Velocity V=Moon’s Maximum Inclination Velocity, metres/second www.Creation.com

Inclination Times For 18 Moons Moon X Mass = 0.1 to 0.0001 Times Uranus’ Mass 18 Moons New Orbital Plane Inclination New Equator Old Equator Uranus Old Orbital Plane Moon X www.Creation.com 18 Moons Moon's 0.1 0.01 0.001 0.005 0.0001 Name Uranus Mass Cordelia 7,882 78,815 788,153 157,631 7,881,535 Ophelia 8,519 85,186 851,858 170,372 8,518,576 Bianca 9,376 93,764 937,640 187,528 9,376,402 Cressida 9,790 97,897 978,971 195,794 9,789,711 Desdemona 9,931 99,315 993,148 198,630 9,931,479 Juliet 10,202 102,020 1,020,204 204,041 10,202,039 Portia 10,478 104,782 1,047,823 209,565 10,478,227 Rosalind 11,087 110,874 1,108,739 221,748 11,087,394 Cupid 11,863 118,629 1,186,292 237,258 11,862,923 Belinda 11,935 119,354 1,193,539 238,708 11,935,387 Perdita 12,121 121,209 1,212,087 242,417 12,120,873 Puck 13,648 136,483 1,364,826 272,965 13,648,261 Mab 15,521 155,209 1,552,087 310,417 15,520,866 Miranda 20,597 205,967 2,059,674 411,935 20,596,739 Ariel 30,599 305,991 3,059,910 611,982 30,599,101 Umbriel 43,114 431,142 4,311,421 862,284 43,114,212 Titania 73,156 731,565 7,315,647 1,463,129 73,156,473 Oberon 102,380 1,023,805 10,238,047 2,047,609 102,380,474

Minimum Inclination Velocity Uranus Moon X r 2 Radii R = 52 Radii 50 Uranus Radii Moon a Maximum Inclination Velocity Moon X r Moon a 50 Uranus Radii Uranus R=50 Radii www.Creation.com

Y -X a, b X R x, y Moon D m, n k m, n Moon X -Y www.Creation.com

Average Gravitational Attraction Moon D, Moon X Moon D At Four Locations Y a = 75,559 kilometres b = 1,277,950 kilometres d = 75,559 kilometres f = 75,559 kilometres b + f + d = 1,379,068 kilometres b + f = 1,353,509 kilometres c = 1,305,300 kilometres N d -X W E X a a f S Moon D, Distance From Moon X N = 1.379068 x 106 Kilometres S = 1.227950 x 106 Kilometres E = 1.305300 x 106 Kilometres W = 1. 305300 x 106 Kilometres c c b Moon X -Y www.Creation.com

360 Degrees Method Average Gravitational Attraction Moon D, Moon X Four Point Method Y U = Uranus radius, metres R = Moon D, orbital radius x = Moon X orbital radius [Number of Uranus Radii] p = Radius of Moon X r = Radius of Moon D A = Average Distance N R W U -X E X R U R U Average Gravitational Attraction Moon D, Moon X U 360 Degrees Method R S U = Uranus radius, metres R = Moon D, orbital radius x = Moon D, x coordinate y = Moon D, y coordinate q = Angle 0 to 360 Y = Average Distance b = Distance from Moon X to Moon D xU Moon X -Y www.Creation.com

Saturn Uranus The Moons of Uranus Before Saturn Encounter Saturn’s Trajectory Distance = 1,734,848,110 metres Uranus Axis Uranus Uranus Equator Moon X Uranus Moons Force= 1.09002 x 1022 Newtons www.Creation.com

Saturn Uranus The Moons of Uranus After Saturn Encounter Saturn’s Trajectory Uranus Moons Moon X Uranus Uranus Equator Uranus Axis www.Creation.com

Encounter Inclination, Kilometres After Saturn Encounter Uranus Moons Name Encounter Inclination, Kilometres Todays Inclination, Kilometres Cordelia 87,962 74 Ophelia 176,425 97 Bianca 265,562 199 Cressida 355,026 6.5 Desdemona 444,602 122 Juliet 534,395 73 Portia 624,408 68 Rosalind 714,914 341 Cupid 806,044 131 Belinda 897,227 41 Perdita 988,562 0.13 Puck 1,081,198 479 Mab 1,175,394 228 Miranda 1,274,058 9,561 Ariel 1,382,309 868 Umbriel 1,504,532 953 Titania 1,669,925 2,588 Oberon 1,882,750 591 The Moons Of Uranus After Saturn Encounter Uranus Moons Name After Encounter, Degrees Todays Inclination, Ratio Cordelia 6.59 0.08479 78 Ophelia 13.21 0.1036 127 Bianca 19.88 0.193 103 Cressida 26.58 0.006 4,430 Desdemona 33.29 0.11125 299 Juliet 40.01 0.065 616 Portia 46.75 0.059 792 Rosalind 53.52 0.279 192 Cupid 60.35 0.1 603 Belinda 67.17 0.031 2,167 Perdita 74.01 0.0001 740,100 Puck 80.95 0.3192 254 Mab 88.00 0.1335 659 Miranda 95.38 4.232 23 Ariel 103.49 0.26 398 Umbriel 112.64 0.205 549 Titania 125.02 0.34 368 Oberon 140.95 0.058 2,430 www.Creation.com

Uranus Moons, 18 Precise Asteroid Strikes Probabilities R= Solar Systems radius, metres r= moons radius F = Bulls Eye Chance 360= Longitude degrees on the moons surface, asteroid collision location 360= Latitude degrees on the moons surface, asteroid collision location I = Moons inclination W = Inclination chance e= Moon’s Eccentricity E = Eccentricity chance S = All Three Probabilities K = Factorialise All 18 Probabilities www.Creation.com

Inclination Chance [1/x] Eccentricity Chance [1/x] Uranus Moons, 18 Precise Asteroid Strikes Probabilities Name Inclination Eccentricity Bulls Eye Chance [1/x] Inclination Chance [1/x] Eccentricity Chance [1/x] Cordelia 0.08479 0.00026 62,499,977,273 1,528,482 3,846.15 Ophelia 0.1036 0.00992 56,689,321,789 1,250,965 100.81 Bianca 0.193 0.00092 38,446,737,269 671,503 1,086.96 Cressida 0.006 0.00036 16,023,067,399 21,600,000 2,777.78 Desdemona 0.11125 0.00013 24,414,053,622 1,164,944 7,692.31 Juliet 0.065 0.00066 11,562,026,088 1,993,846 1,515.15 Portia 0.059 0.00005 5,486,966,455 2,196,610 20,000.00 Rosalind 0.279 0.00011 19,290,116,442 464,516 9,090.91 Cupid 0.1 0.0013 308,641,863,075 1,296,000 769.23 Belinda 0.031 0.00007 12,345,674,523 4,180,645 14,285.71 Perdita 0.0001 0.0012 111,111,070,707 1,296,000,000 833.33 Puck 0.3192 0.00012 3,810,393,371 406,015 8,333.33 Mab 0.1335 0.0025 159,999,941,818 970,787 400 Miranda 4.232 449,626,862 30,624 Ariel 0.26 74,702,154 498,462 Umbriel 0.205 73,176,363 632,195 10,000.00 Titania 0.34 0.0011 40,210,221 381,176 909.09 Oberon 0.058 0.0014 43,168,856 2,234,483 714.29 www.Creation.com

Combined Factorial Chances Uranus Moons, 18 Precise Asteroid Strikes Probabilities Name All Three Chances Combined Factorial Chances Cordelia 3.67E+20 Ophelia 7.15E+18 2.63E+39 Bianca 2.81E+19 7.37E+58 Cressida 9.61E+20 7.09E+79 Desdemona 2.19E+20 1.55E+100 Juliet 3.49E+19 5.42E+119 Portia 2.41E+20 1.31E+140 Rosalind 8.15E+19 1.06E+160 Cupid 3.08E+20 3.27E+180 Belinda 7.37E+20 2.41E+201 Perdita 1.20E+23 2.89E+224 Puck 1.29E+19 3.73E+243 Mab 6.21E+19 2.32E+263 Miranda 1.06E+16 2.46E+279 Ariel 3.10E+16 7.62E+295 Umbriel 4.63E+17 3.52E+312 Titania 1.39E+16 4.90E+328  Oberon 6.89E+16 3.37E+344  www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Orbital Radius = 50 x Uranus’ Radius Moons X Mass = 1% Uranus Inclination Times = 78,000 to 1,023,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Orbital Radius = 50 x Uranus’ Radius Moons X Mass = 0.001 Uranus Inclination Times =788,000 to 10,238,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Orbital Radius = 50 x Uranus’ Radius Moons X Mass = 0.005 Uranus Inclination Times = 157,000 to 2,000,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Orbital Radius = 50 x Uranus’ Radius Moons X Mass = 0.0001 Uranus Inclination Times = 7,800,000 to 102,500,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Mass = 0.01 Uranus Inclination Times = 78,000 to 1,023,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Mass = 0.0001 Uranus Mass Inclination Times = 7.8 to 102 million years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Mass = 0.005 Uranus Mass Inclination Times = 158,000 to 2,047,000 years www.Creation.com

Inclination Times For Uranus’ 18 Moons Moons X Mass = 0.001 Uranus Mass Inclination Times = 788,000 to 10,238,000 years www.Creation.com

Inclination Probability For Pluto’s 3 Moons Eccentricity Probability For Pluto’s 3 Moons Clockwise Probability For Pluto’s 3 Moons Total Probability For Pluto’s 3 Moons www.Creation.com

Total Probabilities For Pluto’s 3 Moons Inclination Eccentricity Clockwise Charon 0.001 0.0022 Yes Nix 0.195 0.003 Hydra 0.212 0.0051 Total Probabilities For Pluto’s 3 Moons Inclination [1/x] Eccentric [1/x] Total Both [1/x] Clockwise All Probabilites 180,000 455 81,818,182 2 163,636,364 166,153,846 151,515 25,174,825,174,825 4 100,699,300,699,301 141,074,020,319 29,708,853 4,191,147,365,398,200,000 8 33,529,178,923,185,600,000 Inclination, km's Eccentricity, Km's Cross Section Area 0.31 38.58 5.91 165.84 146.12 12,116.59 239.67 330.22 39,572.76 Area Chance [1/x] Capture - Years 5 Billion Year Chance [1/x] 3.45212E+38 1.08941E+46 2,178,815,343,528,210,000,000,000,000,000,000,000 8.20234E+31 2.58846E+39 517,692,240,974,860,000,000,000,000,000 7.68963E+30 2.42666E+38 48,533,278,657,085,900,000,000,000,000 Moon's Mass ( × 1015 kg) Capture Mass (Solar Mass) 1,520,000 1,665,895,031,269,050,000,000,000,000,000 2,000 520,817,143,837,887,000,000 48,826,236,073,527,100,000 Total Solar Masses 1,665,895,031,838,700,000,000,000,000,000 www.Creation.com