🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.66 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.45

Radius: 1.16

Gravity: 1.08 G

Time & Orbit

Eccentricity (e): 0.17

Orbit Range: 0.55 AU - 0.77 AU

Year: 206 Days

Day: 31.1 Hours

Environment

Temp: 119 °C

Axial Tilt: 1 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Satellites (1)

Outer Limit: 47,141,230 km

• M1: 251,324 km (0.118 R)

Planet 2 - Terrestrial

Semi-Major Axis: 0.69 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.35

Radius: 1.41

Gravity: 1.18 G

Time & Orbit

Eccentricity (e): 0.026

Orbit Range: 0.67 AU - 0.71 AU

Year: 221 Days

Day: 41 Hours

Environment

Temp: 170 °C

Axial Tilt: 19.7 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Satellites (1)

Outer Limit: 47,141,230 km

• M1: 32,912 km (0.092 R)

Planet 3 - Terrestrial

Semi-Major Axis: 0.97 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 3.78

Radius: 1.7

Gravity: 1.31 G

Time & Orbit

Eccentricity (e): 0.09

Orbit Range: 0.88 AU - 1.06 AU

Year: 368 Days

Day: 47.1 Hours

Environment

Temp: -3 °C

Axial Tilt: 28.8 °

Atmosphere: N₂, O₂

Biome: Oceanic/Continental

Planet 4 - Terrestrial

Semi-Major Axis: 1.79 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.71

Radius: 0.87

Gravity: 0.94 G

Time & Orbit

Eccentricity (e): 0.086

Orbit Range: 1.64 AU - 1.94 AU

Year: 922 Days

Day: 46 Hours

Environment

Temp: -76 °C

Axial Tilt: 17.1 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 5 - Terrestrial

Semi-Major Axis: 2.59 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.2

Radius: 1.78

Gravity: 1.33 G

Time & Orbit

Eccentricity (e): 0.02

Orbit Range: 2.54 AU - 2.64 AU

Year: 1605 Days

Day: 21.7 Hours

Environment

Temp: -109 °C

Axial Tilt: 25.7 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 47,141,230 km

• M1: 152,889 km (0.089 R)

Planet 6 - Gas Giant

Semi-Major Axis: 5.8 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 873.2

Radius: 10.6

Gravity: 7.77 G

Time & Orbit

Eccentricity (e): 0.01

Orbit Range: 5.74 AU - 5.86 AU

Year: 5378 Days

Day: 8.6 Hours

Environment

Temp: -157 °C

Axial Tilt: 0 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (77)

Outer Limit: 47,141,230 km

• M1: 137,480 km (0.065 R)
• M2: 275,410 km (0.089 R)
• M3: 356,043 km (0.084 R)
• M4: 447,896 km (0.089 R)
• M5: 537,804 km (0.101 R)
• M6: 820,993 km (0.114 R)
• M7: 1,166,115 km (0.117 R)
• M8: 1,263,653 km (0.053 R)
• M9: 1,868,029 km (0.073 R)
• M10: 2,120,849 km (0.085 R)
• M11: 2,261,770 km (0.114 R)
• M12: 2,385,039 km (0.068 R)
• M13: 2,552,888 km (0.089 R)
• M14: 2,724,776 km (0.075 R)
• M15: 2,856,272 km (0.111 R)
• M16: 3,148,437 km (0.035 R)
• M17: 3,403,202 km (0.061 R)
• M18: 3,883,860 km (0.114 R)
• M19: 4,283,885 km (0.085 R)
• M20: 5,286,340 km (0.063 R)
• M21: 5,814,121 km (0.111 R)
• M22: 5,955,790 km (0.079 R)
• M23: 6,041,360 km (0.046 R)
• M24: 6,271,592 km (0.092 R)
• M25: 6,563,457 km (0.072 R)
• M26: 6,919,650 km (0.063 R)
• M27: 7,130,433 km (0.098 R)
• M28: 7,221,388 km (0.064 R)
• M29: 7,962,945 km (0.109 R)
• M30: 9,219,118 km (0.092 R)
• M31: 9,484,505 km (0.067 R)
• M32: 9,988,799 km (0.079 R)
• M33: 10,432,956 km (0.109 R)
• M34: 10,605,442 km (0.052 R)
• M35: 10,988,412 km (0.084 R)
• M36: 11,340,416 km (0.069 R)
• M37: 11,446,780 km (0.115 R)
• M38: 12,785,681 km (0.079 R)
• M39: 13,305,235 km (0.062 R)
• M40: 13,379,884 km (0.051 R)
• M41: 13,755,973 km (0.075 R)
• M42: 14,135,503 km (0.041 R)
• M43: 14,403,133 km (0.084 R)
• M44: 14,711,155 km (0.049 R)
• M45: 15,727,224 km (0.048 R)
• M46: 15,885,499 km (0.047 R)
• M47: 16,123,958 km (0.112 R)
• M48: 16,403,706 km (0.085 R)
• M49: 16,604,616 km (0.096 R)
• M50: 16,685,099 km (0.087 R)
• M51: 17,579,695 km (0.1 R)
• M52: 17,908,959 km (0.076 R)
• M53: 19,330,738 km (0.114 R)
• M54: 19,500,382 km (0.061 R)
• M55: 19,841,166 km (0.101 R)
• M56: 20,183,894 km (0.055 R)
• M57: 21,267,731 km (0.099 R)
• M58: 22,015,421 km (0.086 R)
• M59: 22,816,518 km (0.072 R)
• M60: 23,220,731 km (0.064 R)
• M61: 23,854,128 km (0.094 R)
• M62: 25,323,030 km (0.108 R)
• M63: 25,508,681 km (0.059 R)
• M64: 26,632,311 km (0.1 R)
• M65: 28,155,516 km (0.073 R)
• M66: 28,444,240 km (0.108 R)
• M67: 28,588,901 km (0.1 R)
• M68: 28,927,591 km (0.086 R)
• M69: 29,219,007 km (0.106 R)
• M70: 30,148,010 km (0.081 R)
• M71: 30,690,302 km (0.097 R)
• M72: 30,987,553 km (0.074 R)
• M73: 31,484,966 km (0.058 R)
• M74: 31,984,922 km (0.063 R)
• M75: 32,790,507 km (0.109 R)
• M76: 33,399,071 km (0.073 R)
• M77: 33,755,712 km (0.111 R)

Planet 7 - Gas Giant

Semi-Major Axis: 6.47 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 373.8

Radius: 14.5

Gravity: 1.78 G

Time & Orbit

Eccentricity (e): 0.14

Orbit Range: 5.56 AU - 7.38 AU

Year: 6336 Days

Day: 7.1 Hours

Environment

Temp: -168 °C

Axial Tilt: 38.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (73)

Outer Limit: 47,141,230 km

• M1: 249,679 km (0.051 R)
• M2: 376,538 km (0.037 R)
• M3: 550,670 km (0.09 R)
• M4: 735,124 km (0.052 R)
• M5: 830,119 km (0.057 R)
• M6: 981,661 km (0.1 R)
• M7: 1,185,414 km (0.092 R)
• M8: 1,881,941 km (0.032 R)
• M9: 2,391,621 km (0.073 R)
• M10: 2,615,120 km (0.119 R)
• M11: 2,826,203 km (0.097 R)
• M12: 2,943,787 km (0.086 R)
• M13: 3,245,077 km (0.042 R)
• M14: 3,347,701 km (0.059 R)
• M15: 3,451,522 km (0.119 R)
• M16: 3,834,493 km (0.1 R)
• M17: 3,987,232 km (0.099 R)
• M18: 4,142,066 km (0.082 R)
• M19: 4,276,255 km (0.1 R)
• M20: 4,526,383 km (0.052 R)
• M21: 4,922,368 km (0.106 R)
• M22: 5,017,213 km (0.093 R)
• M23: 5,184,613 km (0.106 R)
• M24: 5,353,958 km (0.034 R)
• M25: 5,797,965 km (0.118 R)
• M26: 6,151,764 km (0.065 R)
• M27: 6,254,089 km (0.092 R)
• M28: 6,382,892 km (0.114 R)
• M29: 6,986,669 km (0.063 R)
• M30: 7,093,482 km (0.107 R)
• M31: 7,774,153 km (0.096 R)
• M32: 8,136,329 km (0.101 R)
• M33: 8,277,250 km (0.105 R)
• M34: 9,521,605 km (0.04 R)
• M35: 9,670,156 km (0.08 R)
• M36: 9,969,501 km (0.039 R)
• M37: 10,577,317 km (0.107 R)
• M38: 11,010,104 km (0.027 R)
• M39: 11,480,290 km (0.09 R)
• M40: 11,733,709 km (0.098 R)
• M41: 12,181,755 km (0.034 R)
• M42: 12,635,335 km (0.098 R)
• M43: 12,733,322 km (0.116 R)
• M44: 12,930,043 km (0.096 R)
• M45: 13,459,320 km (0.105 R)
• M46: 14,198,783 km (0.052 R)
• M47: 14,710,707 km (0.107 R)
• M48: 15,928,433 km (0.096 R)
• M49: 16,424,500 km (0.081 R)
• M50: 16,531,462 km (0.117 R)
• M51: 17,142,121 km (0.091 R)
• M52: 17,650,604 km (0.096 R)
• M53: 18,533,830 km (0.097 R)
• M54: 18,645,280 km (0.111 R)
• M55: 18,980,978 km (0.091 R)
• M56: 19,658,207 km (0.093 R)
• M57: 19,771,752 km (0.12 R)
• M58: 19,885,596 km (0.094 R)
• M59: 20,152,180 km (0.04 R)
• M60: 20,305,069 km (0.077 R)
• M61: 20,458,257 km (0.063 R)
• M62: 20,688,937 km (0.09 R)
• M63: 21,385,764 km (0.092 R)
• M64: 21,502,749 km (0.052 R)
• M65: 23,602,954 km (0.036 R)
• M66: 23,966,177 km (0.111 R)
• M67: 25,148,748 km (0.069 R)
• M68: 25,354,595 km (0.033 R)
• M69: 25,850,961 km (0.033 R)
• M70: 26,183,667 km (0.039 R)
• M71: 27,825,653 km (0.08 R)
• M72: 28,081,166 km (0.095 R)
• M73: 28,508,866 km (0.042 R)

Planet 8 - Gas Giant

Semi-Major Axis: 8.47 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 900.7

Radius: 14.6

Gravity: 4.23 G

Time & Orbit

Eccentricity (e): 0.002

Orbit Range: 8.45 AU - 8.49 AU

Year: 9491 Days

Day: 11.8 Hours

Environment

Temp: -177 °C

Axial Tilt: 70.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (85)

Outer Limit: 47,141,230 km

• M1: 239,805 km (0.057 R)
• M2: 335,398 km (0.106 R)
• M3: 457,321 km (0.099 R)
• M4: 616,493 km (0.083 R)
• M5: 942,915 km (0.086 R)
• M6: 1,117,496 km (0.058 R)
• M7: 1,975,141 km (0.076 R)
• M8: 2,152,265 km (0.064 R)
• M9: 2,388,031 km (0.111 R)
• M10: 2,495,741 km (0.081 R)
• M11: 2,971,612 km (0.064 R)
• M12: 3,205,733 km (0.076 R)
• M13: 3,415,619 km (0.116 R)
• M14: 3,630,142 km (0.105 R)
• M15: 4,466,095 km (0.115 R)
• M16: 5,149,009 km (0.078 R)
• M17: 5,467,204 km (0.112 R)
• M18: 5,755,479 km (0.084 R)
• M19: 5,974,939 km (0.11 R)
• M20: 6,688,521 km (0.035 R)
• M21: 7,468,823 km (0.108 R)
• M22: 7,628,444 km (0.039 R)
• M23: 8,073,199 km (0.109 R)
• M24: 8,196,019 km (0.094 R)
• M25: 8,402,015 km (0.111 R)
• M26: 8,693,282 km (0.075 R)
• M27: 8,945,653 km (0.05 R)
• M28: 9,157,933 km (0.092 R)
• M29: 9,500,961 km (0.099 R)
• M30: 9,848,177 km (0.049 R)
• M31: 10,199,732 km (0.106 R)
• M32: 10,332,575 km (0.089 R)
• M33: 10,555,327 km (0.111 R)
• M34: 10,689,815 km (0.08 R)
• M35: 11,416,412 km (0.05 R)
• M36: 12,441,606 km (0.074 R)
• M37: 13,302,392 km (0.085 R)
• M38: 13,691,048 km (0.111 R)
• M39: 14,380,395 km (0.089 R)
• M40: 14,930,017 km (0.097 R)
• M41: 15,435,658 km (0.072 R)
• M42: 15,844,210 km (0.108 R)
• M43: 16,204,741 km (0.111 R)
• M44: 17,038,749 km (0.102 R)
• M45: 17,514,171 km (0.12 R)
• M46: 17,833,413 km (0.113 R)
• M47: 18,101,043 km (0.118 R)
• M48: 18,640,194 km (0.112 R)
• M49: 19,568,897 km (0.103 R)
• M50: 19,900,406 km (0.117 R)
• M51: 20,177,910 km (0.094 R)
• M52: 20,849,455 km (0.119 R)
• M53: 24,315,638 km (0.059 R)
• M54: 24,850,749 km (0.043 R)
• M55: 25,811,916 km (0.077 R)
• M56: 26,114,702 km (0.085 R)
• M57: 26,785,200 km (0.06 R)
• M58: 27,153,210 km (0.095 R)
• M59: 28,080,717 km (0.079 R)
• M60: 28,392,180 km (0.119 R)
• M61: 28,579,626 km (0.059 R)
• M62: 28,830,202 km (0.106 R)
• M63: 30,412,798 km (0.052 R)
• M64: 30,604,583 km (0.11 R)
• M65: 30,796,816 km (0.09 R)
• M66: 32,023,519 km (0.075 R)
• M67: 33,463,847 km (0.072 R)
• M68: 33,595,792 km (0.058 R)
• M69: 34,992,139 km (0.035 R)
• M70: 35,260,218 km (0.112 R)
• M71: 37,224,438 km (0.107 R)
• M72: 37,635,234 km (0.096 R)
• M73: 37,978,711 km (0.074 R)
• M74: 38,461,463 km (0.095 R)
• M75: 39,991,550 km (0.073 R)
• M76: 40,131,574 km (0.114 R)
• M77: 40,271,896 km (0.055 R)
• M78: 41,541,534 km (0.08 R)
• M79: 42,824,335 km (0.063 R)
• M80: 44,120,152 km (0.097 R)
• M81: 46,381,922 km (0.086 R)
• M82: 47,341,593 km (0.056 R)
• M83: 49,806,965 km (0.085 R)
• M84: 50,108,555 km (0.104 R)
• M85: 50,410,892 km (0.098 R)

Planet 9 - Gas Giant

Semi-Major Axis: 10.5 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 940.6

Radius: 11.5

Gravity: 7.11 G

Time & Orbit

Eccentricity (e): 0.155

Orbit Range: 8.87 AU - 12.13 AU

Year: 13099 Days

Day: 14.3 Hours

Environment

Temp: -190 °C

Axial Tilt: 31.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (82)

Outer Limit: 47,141,230 km

• M1: 260,001 km (0.103 R)
• M2: 919,578 km (0.12 R)
• M3: 1,055,114 km (0.05 R)
• M4: 1,271,432 km (0.1 R)
• M5: 1,502,860 km (0.093 R)
• M6: 1,583,045 km (0.081 R)
• M7: 2,036,027 km (0.094 R)
• M8: 2,657,307 km (0.053 R)
• M9: 4,722,356 km (0.112 R)
• M10: 4,801,942 km (0.089 R)
• M11: 4,922,219 km (0.073 R)
• M12: 5,043,692 km (0.11 R)
• M13: 5,206,903 km (0.025 R)
• M14: 5,372,060 km (0.068 R)
• M15: 6,620,603 km (0.1 R)
• M16: 6,844,851 km (0.103 R)
• M17: 6,980,536 km (0.047 R)
• M18: 7,117,119 km (0.034 R)
• M19: 7,485,728 km (0.113 R)
• M20: 7,907,893 km (0.114 R)
• M21: 8,337,837 km (0.107 R)
• M22: 10,030,388 km (0.036 R)
• M23: 11,287,159 km (0.066 R)
• M24: 11,663,099 km (0.118 R)
• M25: 12,097,830 km (0.073 R)
• M26: 12,871,401 km (0.085 R)
• M27: 14,176,642 km (0.118 R)
• M28: 14,582,352 km (0.116 R)
• M29: 16,002,035 km (0.094 R)
• M30: 17,341,684 km (0.071 R)
• M31: 19,354,075 km (0.055 R)
• M32: 19,482,280 km (0.086 R)
• M33: 20,845,566 km (0.099 R)
• M34: 20,977,062 km (0.116 R)
• M35: 21,373,048 km (0.068 R)
• M36: 22,038,459 km (0.109 R)
• M37: 22,239,519 km (0.104 R)
• M38: 22,845,988 km (0.081 R)
• M39: 23,869,088 km (0.118 R)
• M40: 25,186,447 km (0.111 R)
• M41: 25,536,955 km (0.076 R)
• M42: 25,748,187 km (0.097 R)
• M43: 26,243,057 km (0.052 R)
• M44: 27,027,099 km (0.091 R)
• M45: 27,314,028 km (0.09 R)
• M46: 27,818,771 km (0.104 R)
• M47: 29,498,755 km (0.115 R)
• M48: 31,286,599 km (0.113 R)
• M49: 31,512,642 km (0.049 R)
• M50: 32,041,919 km (0.083 R)
• M51: 33,493,467 km (0.104 R)
• M52: 35,750,151 km (0.071 R)
• M53: 36,539,579 km (0.091 R)
• M54: 37,654,532 km (0.086 R)
• M55: 37,894,936 km (0.119 R)
• M56: 38,457,723 km (0.117 R)
• M57: 39,023,353 km (0.118 R)
• M58: 40,081,159 km (0.082 R)
• M59: 40,408,479 km (0.061 R)
• M60: 40,736,847 km (0.07 R)
• M61: 42,224,897 km (0.048 R)
• M62: 42,641,377 km (0.071 R)
• M63: 45,339,225 km (0.116 R)
• M64: 45,424,346 km (0.116 R)
• M65: 47,053,168 km (0.039 R)
• M66: 48,526,707 km (0.072 R)
• M67: 49,312,993 km (0.105 R)
• M68: 49,400,658 km (0.096 R)
• M69: 50,015,505 km (0.068 R)
• M70: 51,163,968 km (0.065 R)
• M71: 51,964,167 km (0.027 R)
• M72: 54,842,729 km (0.074 R)
• M73: 56,576,269 km (0.115 R)
• M74: 57,311,543 km (0.116 R)
• M75: 59,163,564 km (0.114 R)
• M76: 59,536,213 km (0.117 R)
• M77: 61,505,968 km (0.094 R)
• M78: 61,978,248 km (0.108 R)
• M79: 62,546,271 km (0.07 R)
• M80: 62,926,100 km (0.058 R)
• M81: 63,211,383 km (0.083 R)
• M82: 63,306,528 km (0.05 R)

Planet 10 - Gas Giant

Semi-Major Axis: 11.09 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 322.3

Radius: 14.5

Gravity: 1.53 G

Time & Orbit

Eccentricity (e): 0.024

Orbit Range: 10.82 AU - 11.36 AU

Year: 14219 Days

Day: 6.9 Hours

Environment

Temp: -196 °C

Axial Tilt: 10 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (67)

Outer Limit: 47,141,230 km

• M1: 213,925 km (0.037 R)
• M2: 333,603 km (0.112 R)
• M3: 449,093 km (0.104 R)
• M4: 853,306 km (0.082 R)
• M5: 1,013,077 km (0.064 R)
• M6: 1,242,859 km (0.118 R)
• M7: 1,364,632 km (0.065 R)
• M8: 1,801,009 km (0.105 R)
• M9: 1,964,220 km (0.073 R)
• M10: 2,206,120 km (0.105 R)
• M11: 2,458,043 km (0.093 R)
• M12: 2,746,467 km (0.097 R)
• M13: 2,935,858 km (0.103 R)
• M14: 3,185,836 km (0.12 R)
• M15: 3,618,174 km (0.036 R)
• M16: 4,193,079 km (0.091 R)
• M17: 6,015,181 km (0.036 R)
• M18: 6,191,856 km (0.119 R)
• M19: 6,622,847 km (0.116 R)
• M20: 6,842,158 km (0.116 R)
• M21: 8,051,657 km (0.086 R)
• M22: 9,285,839 km (0.073 R)
• M23: 10,113,265 km (0.025 R)
• M24: 10,281,712 km (0.109 R)
• M25: 10,535,879 km (0.07 R)
• M26: 11,706,033 km (0.099 R)
• M27: 12,463,747 km (0.101 R)
• M28: 13,008,283 km (0.066 R)
• M29: 13,700,023 km (0.085 R)
• M30: 14,214,790 km (0.092 R)
• M31: 15,215,450 km (0.078 R)
• M32: 15,360,261 km (0.066 R)
• M33: 16,535,053 km (0.058 R)
• M34: 16,634,236 km (0.048 R)
• M35: 16,983,098 km (0.08 R)
• M36: 17,284,089 km (0.105 R)
• M37: 17,637,439 km (0.101 R)
• M38: 17,738,867 km (0.1 R)
• M39: 17,942,170 km (0.107 R)
• M40: 18,044,196 km (0.119 R)
• M41: 18,608,629 km (0.106 R)
• M42: 20,709,432 km (0.084 R)
• M43: 21,462,358 km (0.092 R)
• M44: 21,679,275 km (0.066 R)
• M45: 23,106,139 km (0.08 R)
• M46: 24,733,315 km (0.054 R)
• M47: 26,979,378 km (0.086 R)
• M48: 27,978,691 km (0.079 R)
• M49: 31,233,043 km (0.052 R)
• M50: 31,910,572 km (0.074 R)
• M51: 32,655,121 km (0.076 R)
• M52: 34,987,052 km (0.096 R)
• M53: 35,242,266 km (0.03 R)
• M54: 35,690,611 km (0.088 R)
• M55: 36,140,751 km (0.05 R)
• M56: 36,592,836 km (0.082 R)
• M57: 37,633,140 km (0.073 R)
• M58: 38,617,194 km (0.084 R)
• M59: 39,477,083 km (0.095 R)
• M60: 39,676,347 km (0.077 R)
• M61: 40,343,105 km (0.092 R)
• M62: 44,213,950 km (0.05 R)
• M63: 44,420,993 km (0.04 R)
• M64: 44,766,714 km (0.084 R)
• M65: 45,252,159 km (0.099 R)
• M66: 46,719,265 km (0.077 R)
• M67: 47,070,820 km (0.114 R)

Kuiper Belt

Range: 30 - 50 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 219 - 10,747 AU

Composition

Type: Cometary Reservoir

System's final boundary, containing trillions of icy planetesimals.

Gravitational Limit