🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.59 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.65

Radius: 1.48

Gravity: 1.21 G

Time & Orbit

Eccentricity (e): 0.242

Orbit Range: 0.45 AU - 0.73 AU

Year: 162 Days

Day: 30.8 Hours

Environment

Temp: 166 °C

Axial Tilt: 48.5 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Satellites (1)

Outer Limit: 26,954,295 km

• M1: 147,055 km (0.094 R)

Planet 2 - Terrestrial

Semi-Major Axis: 0.6 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 3.92

Radius: 1.73

Gravity: 1.31 G

Time & Orbit

Eccentricity (e): 0.048

Orbit Range: 0.57 AU - 0.63 AU

Year: 166 Days

Day: 12.4 Hours

Environment

Temp: 227 °C

Axial Tilt: 25.5 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Planet 3 - Terrestrial

Semi-Major Axis: 1.12 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.03

Radius: 1.75

Gravity: 1.32 G

Time & Orbit

Eccentricity (e): 0.171

Orbit Range: 0.93 AU - 1.31 AU

Year: 422 Days

Day: 18.1 Hours

Environment

Temp: 41 °C

Axial Tilt: 54.9 °

Atmosphere: N₂, O₂

Biome: Arid/Tundra

Planet 4 - Terrestrial

Semi-Major Axis: 3.51 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.22

Radius: 1.78

Gravity: 1.33 G

Time & Orbit

Eccentricity (e): 0.227

Orbit Range: 2.71 AU - 4.31 AU

Year: 2344 Days

Day: 31.2 Hours

Environment

Temp: -104 °C

Axial Tilt: 29.3 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 26,954,295 km

• M1: 1,152,352 km (0.07 R)

Planet 5 - Terrestrial

Semi-Major Axis: 5.21 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.21

Radius: 1.78

Gravity: 1.33 G

Time & Orbit

Eccentricity (e): 0.059

Orbit Range: 4.9 AU - 5.52 AU

Year: 4239 Days

Day: 32.7 Hours

Environment

Temp: -145 °C

Axial Tilt: 7.2 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 26,954,295 km

• M1: 1,905,129 km (0.059 R)

Planet 6 - Gas Giant

Semi-Major Axis: 5.51 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 210

Radius: 11

Gravity: 1.74 G

Time & Orbit

Eccentricity (e): 0.164

Orbit Range: 4.61 AU - 6.41 AU

Year: 4610 Days

Day: 6.1 Hours

Environment

Temp: -144 °C

Axial Tilt: 2.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (61)

Outer Limit: 26,954,295 km

• M1: 153,188 km (0.069 R)
• M2: 256,860 km (0.099 R)
• M3: 350,957 km (0.102 R)
• M4: 439,668 km (0.115 R)
• M5: 603,029 km (0.076 R)
• M6: 715,377 km (0.107 R)
• M7: 845,078 km (0.103 R)
• M8: 952,938 km (0.118 R)
• M9: 1,034,469 km (0.08 R)
• M10: 1,227,151 km (0.119 R)
• M11: 1,420,432 km (0.106 R)
• M12: 1,587,233 km (0.119 R)
• M13: 1,710,352 km (0.118 R)
• M14: 1,862,643 km (0.088 R)
• M15: 1,979,778 km (0.116 R)
• M16: 2,113,070 km (0.083 R)
• M17: 2,318,468 km (0.103 R)
• M18: 2,388,480 km (0.112 R)
• M19: 2,632,025 km (0.066 R)
• M20: 2,749,310 km (0.106 R)
• M21: 2,853,579 km (0.077 R)
• M22: 3,004,823 km (0.114 R)
• M23: 3,189,726 km (0.089 R)
• M24: 3,283,673 km (0.087 R)
• M25: 3,410,383 km (0.103 R)
• M26: 3,967,186 km (0.096 R)
• M27: 4,085,368 km (0.098 R)
• M28: 4,377,383 km (0.106 R)
• M29: 4,605,221 km (0.097 R)
• M30: 4,819,146 km (0.102 R)
• M31: 4,891,252 km (0.046 R)
• M32: 5,018,111 km (0.075 R)
• M33: 5,182,968 km (0.109 R)
• M34: 5,499,218 km (0.066 R)
• M35: 6,053,478 km (0.082 R)
• M36: 6,806,554 km (0.083 R)
• M37: 6,928,177 km (0.032 R)
• M38: 7,256,095 km (0.03 R)
• M39: 8,356,687 km (0.088 R)
• M40: 9,059,797 km (0.097 R)
• M41: 9,486,300 km (0.055 R)
• M42: 9,873,459 km (0.086 R)
• M43: 10,289,042 km (0.118 R)
• M44: 10,405,579 km (0.093 R)
• M45: 11,983,687 km (0.117 R)
• M46: 13,102,081 km (0.08 R)
• M47: 13,789,034 km (0.11 R)
• M48: 14,513,836 km (0.109 R)
• M49: 14,618,405 km (0.109 R)
• M50: 14,723,273 km (0.102 R)
• M51: 14,880,949 km (0.039 R)
• M52: 15,731,413 km (0.076 R)
• M53: 15,946,535 km (0.053 R)
• M54: 16,761,843 km (0.113 R)
• M55: 16,981,602 km (0.084 R)
• M56: 17,202,259 km (0.094 R)
• M57: 17,423,814 km (0.083 R)
• M58: 17,590,765 km (0.106 R)
• M59: 18,094,461 km (0.097 R)
• M60: 18,348,029 km (0.1 R)
• M61: 18,659,642 km (0.076 R)

Planet 7 - Gas Giant

Semi-Major Axis: 8.41 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 946.8

Radius: 9.6

Gravity: 10.27 G

Time & Orbit

Eccentricity (e): 0.223

Orbit Range: 6.53 AU - 10.29 AU

Year: 8693 Days

Day: 11.3 Hours

Environment

Temp: -161 °C

Axial Tilt: 36.3 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (91)

Outer Limit: 26,954,295 km

• M1: 120,875 km (0.037 R)
• M2: 410,197 km (0.026 R)
• M3: 728,242 km (0.073 R)
• M4: 1,217,128 km (0.115 R)
• M5: 1,300,454 km (0.117 R)
• M6: 1,407,566 km (0.103 R)
• M7: 2,110,976 km (0.077 R)
• M8: 2,263,565 km (0.11 R)
• M9: 2,472,554 km (0.096 R)
• M10: 2,579,516 km (0.084 R)
• M11: 2,881,704 km (0.116 R)
• M12: 4,855,049 km (0.071 R)
• M13: 4,956,028 km (0.099 R)
• M14: 5,228,446 km (0.047 R)
• M15: 5,470,794 km (0.072 R)
• M16: 6,220,279 km (0.069 R)
• M17: 6,662,940 km (0.102 R)
• M18: 6,925,933 km (0.12 R)
• M19: 7,853,290 km (0.106 R)
• M20: 7,932,427 km (0.082 R)
• M21: 8,171,185 km (0.112 R)
• M22: 8,778,403 km (0.054 R)
• M23: 9,108,266 km (0.102 R)
• M24: 9,274,769 km (0.103 R)
• M25: 9,695,288 km (0.112 R)
• M26: 9,822,746 km (0.096 R)
• M27: 10,294,577 km (0.112 R)
• M28: 10,511,494 km (0.083 R)
• M29: 10,686,225 km (0.034 R)
• M30: 11,171,520 km (0.081 R)
• M31: 11,484,030 km (0.11 R)
• M32: 11,754,353 km (0.078 R)
• M33: 12,902,667 km (0.083 R)
• M34: 13,561,496 km (0.067 R)
• M35: 13,704,063 km (0.101 R)
• M36: 13,847,078 km (0.066 R)
• M37: 14,038,563 km (0.109 R)
• M38: 14,472,846 km (0.097 R)
• M39: 14,715,943 km (0.106 R)
• M40: 15,552,793 km (0.084 R)
• M41: 15,652,276 km (0.113 R)
• M42: 15,851,839 km (0.112 R)
• M43: 16,102,416 km (0.09 R)
• M44: 17,066,873 km (0.115 R)
• M45: 17,478,566 km (0.077 R)
• M46: 17,581,939 km (0.036 R)
• M47: 17,737,520 km (0.095 R)
• M48: 20,832,999 km (0.063 R)
• M49: 21,494,072 km (0.034 R)
• M50: 21,715,926 km (0.108 R)
• M51: 22,217,977 km (0.088 R)
• M52: 22,330,025 km (0.05 R)
• M53: 23,006,507 km (0.106 R)
• M54: 23,804,163 km (0.098 R)
• M55: 24,726,882 km (0.118 R)
• M56: 24,842,970 km (0.099 R)
• M57: 25,134,237 km (0.103 R)
• M58: 26,310,376 km (0.111 R)
• M59: 26,429,007 km (0.068 R)
• M60: 26,547,788 km (0.114 R)
• M61: 27,324,201 km (0.074 R)
• M62: 27,444,328 km (0.081 R)
• M63: 27,504,317 km (0.032 R)
• M64: 27,745,319 km (0.077 R)
• M65: 27,866,044 km (0.109 R)
• M66: 28,107,944 km (0.047 R)
• M67: 28,533,101 km (0.044 R)
• M68: 29,389,848 km (0.12 R)
• M69: 29,883,072 km (0.117 R)
• M70: 30,565,837 km (0.091 R)
• M71: 31,316,669 km (0.096 R)
• M72: 32,517,640 km (0.118 R)
• M73: 32,963,891 km (0.119 R)
• M74: 33,091,797 km (0.042 R)
• M75: 33,412,236 km (0.111 R)
• M76: 34,120,881 km (0.095 R)
• M77: 35,356,410 km (0.073 R)
• M78: 36,408,232 km (0.08 R)
• M79: 37,804,280 km (0.115 R)
• M80: 38,677,183 km (0.072 R)
• M81: 39,896,855 km (0.055 R)
• M82: 40,991,612 km (0.063 R)
• M83: 41,198,057 km (0.11 R)
• M84: 41,888,451 km (0.094 R)
• M85: 42,861,436 km (0.105 R)
• M86: 44,123,294 km (0.103 R)
• M87: 46,038,894 km (0.1 R)
• M88: 46,253,418 km (0.064 R)
• M89: 46,898,932 km (0.06 R)
• M90: 47,186,908 km (0.117 R)
• M91: 47,547,589 km (0.03 R)

Planet 8 - Gas Giant

Semi-Major Axis: 8.69 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 635

Radius: 9.3

Gravity: 7.34 G

Time & Orbit

Eccentricity (e): 0.078

Orbit Range: 8.01 AU - 9.37 AU

Year: 9131 Days

Day: 6.8 Hours

Environment

Temp: -159 °C

Axial Tilt: 18.3 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (86)

Outer Limit: 26,954,295 km

• M1: 119,529 km (0.03 R)
• M2: 188,344 km (0.073 R)
• M3: 258,804 km (0.096 R)
• M4: 620,981 km (0.072 R)
• M5: 1,089,820 km (0.115 R)
• M6: 1,400,386 km (0.11 R)
• M7: 2,316,074 km (0.089 R)
• M8: 2,463,279 km (0.083 R)
• M9: 2,538,077 km (0.093 R)
• M10: 2,767,112 km (0.078 R)
• M11: 3,163,845 km (0.101 R)
• M12: 4,247,682 km (0.063 R)
• M13: 4,337,740 km (0.102 R)
• M14: 4,735,820 km (0.026 R)
• M15: 4,829,318 km (0.096 R)
• M16: 5,145,718 km (0.083 R)
• M17: 5,865,134 km (0.115 R)
• M18: 5,999,323 km (0.07 R)
• M19: 6,202,627 km (0.103 R)
• M20: 6,826,151 km (0.09 R)
• M21: 7,038,430 km (0.05 R)
• M22: 7,360,814 km (0.074 R)
• M23: 7,615,130 km (0.06 R)
• M24: 8,020,391 km (0.098 R)
• M25: 8,206,939 km (0.047 R)
• M26: 8,357,285 km (0.104 R)
• M27: 8,432,832 km (0.12 R)
• M28: 8,546,377 km (0.09 R)
• M29: 9,239,164 km (0.116 R)
• M30: 9,474,033 km (0.117 R)
• M31: 9,592,365 km (0.068 R)
• M32: 10,474,095 km (0.064 R)
• M33: 10,637,306 km (0.119 R)
• M34: 11,381,705 km (0.108 R)
• M35: 11,591,591 km (0.111 R)
• M36: 12,400,467 km (0.088 R)
• M37: 12,746,487 km (0.102 R)
• M38: 13,982,464 km (0.074 R)
• M39: 14,207,310 km (0.103 R)
• M40: 14,751,547 km (0.109 R)
• M41: 15,534,243 km (0.08 R)
• M42: 15,767,017 km (0.084 R)
• M43: 15,860,516 km (0.059 R)
• M44: 16,614,639 km (0.101 R)
• M45: 17,670,650 km (0.04 R)
• M46: 18,108,972 km (0.06 R)
• M47: 20,201,098 km (0.094 R)
• M48: 20,302,675 km (0.057 R)
• M49: 20,608,154 km (0.058 R)
• M50: 21,637,836 km (0.099 R)
• M51: 22,578,807 km (0.101 R)
• M52: 23,107,336 km (0.091 R)
• M53: 23,533,091 km (0.117 R)
• M54: 23,747,016 km (0.109 R)
• M55: 23,854,128 km (0.099 R)
• M56: 23,961,540 km (0.052 R)
• M57: 24,338,377 km (0.086 R)
• M58: 24,880,370 km (0.098 R)
• M59: 25,810,569 km (0.105 R)
• M60: 26,418,685 km (0.083 R)
• M61: 27,143,337 km (0.109 R)
• M62: 29,126,705 km (0.109 R)
• M63: 29,644,314 km (0.045 R)
• M64: 30,106,871 km (0.066 R)
• M65: 30,397,240 km (0.06 R)
• M66: 31,685,727 km (0.114 R)
• M67: 32,217,846 km (0.067 R)
• M68: 32,991,866 km (0.099 R)
• M69: 33,051,705 km (0.087 R)
• M70: 33,291,211 km (0.083 R)
• M71: 33,531,316 km (0.084 R)
• M72: 33,952,882 km (0.077 R)
• M73: 34,376,244 km (0.079 R)
• M74: 34,801,401 km (0.104 R)
• M75: 35,779,472 km (0.096 R)
• M76: 36,271,949 km (0.116 R)
• M77: 36,333,732 km (0.117 R)
• M78: 36,395,516 km (0.11 R)
• M79: 36,642,802 km (0.047 R)
• M80: 38,389,955 km (0.114 R)
• M81: 38,704,859 km (0.112 R)
• M82: 39,147,070 km (0.117 R)
• M83: 39,781,664 km (0.071 R)
• M84: 39,845,393 km (0.099 R)
• M85: 40,227,915 km (0.078 R)
• M86: 42,549,225 km (0.059 R)

Planet 9 - Gas Giant

Semi-Major Axis: 9.36 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 745.5

Radius: 9.2

Gravity: 8.81 G

Time & Orbit

Eccentricity (e): 0.198

Orbit Range: 7.51 AU - 11.21 AU

Year: 10207 Days

Day: 13.9 Hours

Environment

Temp: -176 °C

Axial Tilt: 6.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (88)

Outer Limit: 26,954,295 km

• M1: 179,966 km (0.089 R)
• M2: 266,135 km (0.118 R)
• M3: 543,639 km (0.046 R)
• M4: 606,470 km (0.111 R)
• M5: 1,460,823 km (0.048 R)
• M6: 1,859,801 km (0.108 R)
• M7: 2,059,215 km (0.098 R)
• M8: 2,187,420 km (0.08 R)
• M9: 2,318,318 km (0.1 R)
• M10: 2,533,290 km (0.066 R)
• M11: 2,925,087 km (0.109 R)
• M12: 3,040,577 km (0.049 R)
• M13: 3,157,562 km (0.104 R)
• M14: 3,702,846 km (0.066 R)
• M15: 4,777,109 km (0.045 R)
• M16: 6,161,936 km (0.109 R)
• M17: 6,687,623 km (0.1 R)
• M18: 6,878,959 km (0.041 R)
• M19: 7,266,866 km (0.066 R)
• M20: 7,661,954 km (0.057 R)
• M21: 8,226,836 km (0.043 R)
• M22: 8,390,795 km (0.088 R)
• M23: 8,597,240 km (0.079 R)
• M24: 8,680,267 km (0.072 R)
• M25: 9,057,104 km (0.032 R)
• M26: 10,396,154 km (0.048 R)
• M27: 10,662,439 km (0.072 R)
• M28: 10,841,208 km (0.091 R)
• M29: 10,975,996 km (0.033 R)
• M30: 11,383,500 km (0.113 R)
• M31: 12,166,944 km (0.108 R)
• M32: 12,260,293 km (0.084 R)
• M33: 12,588,661 km (0.101 R)
• M34: 12,872,598 km (0.075 R)
• M35: 13,350,413 km (0.049 R)
• M36: 14,918,049 km (0.105 R)
• M37: 15,622,206 km (0.064 R)
• M38: 17,692,940 km (0.088 R)
• M39: 17,957,728 km (0.096 R)
• M40: 18,437,788 km (0.061 R)
• M41: 18,545,050 km (0.119 R)
• M42: 19,192,958 km (0.07 R)
• M43: 19,738,541 km (0.1 R)
• M44: 20,400,063 km (0.116 R)
• M45: 20,733,517 km (0.103 R)
• M46: 21,349,561 km (0.073 R)
• M47: 21,518,607 km (0.099 R)
• M48: 21,688,101 km (0.098 R)
• M49: 22,199,277 km (0.072 R)
• M50: 22,370,566 km (0.118 R)
• M51: 22,771,937 km (0.085 R)
• M52: 23,060,063 km (0.103 R)
• M53: 23,465,473 km (0.083 R)
• M54: 24,755,007 km (0.075 R)
• M55: 26,308,431 km (0.055 R)
• M56: 27,831,637 km (0.093 R)
• M57: 27,954,756 km (0.083 R)
• M58: 28,078,024 km (0.052 R)
• M59: 28,572,894 km (0.116 R)
• M60: 29,759,953 km (0.032 R)
• M61: 29,885,765 km (0.077 R)
• M62: 30,264,547 km (0.113 R)
• M63: 30,454,536 km (0.107 R)
• M64: 31,474,345 km (0.062 R)
• M65: 32,181,943 km (0.114 R)
• M66: 33,024,927 km (0.096 R)
• M67: 33,743,894 km (0.104 R)
• M68: 34,072,411 km (0.107 R)
• M69: 34,270,030 km (0.096 R)
• M70: 34,997,823 km (0.11 R)
• M71: 35,797,723 km (0.064 R)
• M72: 35,864,594 km (0.064 R)
• M73: 36,671,076 km (0.041 R)
• M74: 36,873,631 km (0.082 R)
• M75: 37,008,718 km (0.109 R)
• M76: 38,370,059 km (0.044 R)
• M77: 40,721,737 km (0.051 R)
• M78: 41,774,009 km (0.079 R)
• M79: 42,338,890 km (0.103 R)
• M80: 42,480,559 km (0.086 R)
• M81: 43,404,925 km (0.09 R)
• M82: 44,335,872 km (0.09 R)
• M83: 45,418,213 km (0.105 R)
• M84: 46,290,368 km (0.1 R)
• M85: 47,094,606 km (0.069 R)
• M86: 47,903,632 km (0.054 R)
• M87: 48,494,843 km (0.111 R)
• M88: 48,717,145 km (0.112 R)

Planet 10 - Ice Giant

Semi-Major Axis: 17.87 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 16.8

Radius: 4

Gravity: 1.05 G

Time & Orbit

Eccentricity (e): 0.169

Orbit Range: 14.85 AU - 20.89 AU

Year: 26927 Days

Day: 18 Hours

Environment

Temp: -202 °C

Axial Tilt: 20.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (58)

Outer Limit: 26,954,295 km

• M1: 104,270 km (0.09 R)
• M2: 169,046 km (0.075 R)
• M3: 281,394 km (0.035 R)
• M4: 368,759 km (0.117 R)
• M5: 681,568 km (0.114 R)
• M6: 965,205 km (0.099 R)
• M7: 1,112,709 km (0.084 R)
• M8: 1,182,122 km (0.099 R)
• M9: 1,296,266 km (0.089 R)
• M10: 1,691,503 km (0.073 R)
• M11: 2,295,579 km (0.085 R)
• M12: 2,998,091 km (0.082 R)
• M13: 3,312,396 km (0.069 R)
• M14: 3,412,776 km (0.05 R)
• M15: 3,534,549 km (0.055 R)
• M16: 4,078,786 km (0.048 R)
• M17: 4,273,114 km (0.112 R)
• M18: 4,382,470 km (0.099 R)
• M19: 4,874,347 km (0.063 R)
• M20: 4,942,863 km (0.076 R)
• M21: 5,103,831 km (0.099 R)
• M22: 6,104,940 km (0.061 R)
• M23: 6,958,395 km (0.097 R)
• M24: 10,138,397 km (0.117 R)
• M25: 10,401,390 km (0.083 R)
• M26: 10,548,445 km (0.101 R)
• M27: 10,755,638 km (0.071 R)
• M28: 11,234,052 km (0.114 R)
• M29: 11,324,559 km (0.114 R)
• M30: 11,475,802 km (0.114 R)
• M31: 11,719,348 km (0.064 R)
• M32: 11,964,688 km (0.047 R)
• M33: 12,211,525 km (0.108 R)
• M34: 12,273,608 km (0.096 R)
• M35: 12,491,422 km (0.085 R)
• M36: 12,679,168 km (0.106 R)
• M37: 13,471,288 km (0.095 R)
• M38: 13,824,938 km (0.112 R)
• M39: 13,889,564 km (0.103 R)
• M40: 14,937,048 km (0.057 R)
• M41: 14,970,109 km (0.113 R)
• M42: 15,705,532 km (0.091 R)
• M43: 15,840,470 km (0.108 R)
• M44: 16,247,675 km (0.04 R)
• M45: 16,555,398 km (0.039 R)
• M46: 17,629,660 km (0.118 R)
• M47: 18,016,371 km (0.098 R)
• M48: 18,941,185 km (0.041 R)
• M49: 19,373,373 km (0.086 R)
• M50: 21,619,286 km (0.104 R)
• M51: 21,769,482 km (0.105 R)
• M52: 22,677,541 km (0.116 R)
• M53: 23,174,505 km (0.053 R)
• M54: 23,251,399 km (0.107 R)
• M55: 25,277,253 km (0.072 R)
• M56: 25,316,747 km (0.088 R)
• M57: 26,031,376 km (0.051 R)
• M58: 26,391,308 km (0.081 R)

Kuiper Belt

Range: 30.8 - 56.8 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 416 - 16,213 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit