🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.5 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.48

Radius: 1.44

Gravity: 1.2 G

Time & Orbit

Eccentricity (e): 0.171

Orbit Range: 0.41 AU - 0.59 AU

Year: 130 Days

Day: 18.3 Hours

Environment

Temp: 255 °C

Axial Tilt: 33.8 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Planet 2 - Terrestrial

Semi-Major Axis: 1.17 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.31

Radius: 1.79

Gravity: 1.35 G

Time & Orbit

Eccentricity (e): 0.136

Orbit Range: 1.01 AU - 1.33 AU

Year: 467 Days

Day: 38.6 Hours

Environment

Temp: 3 °C

Axial Tilt: 13.9 °

Atmosphere: N₂, O₂

Biome: Arid/Tundra

Satellites (1)

Outer Limit: 117,452,574 km

• M1: 45,179 km (0.032 R)

Planet 3 - Terrestrial

Semi-Major Axis: 2.69 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.48

Radius: 1.82

Gravity: 1.35 G

Time & Orbit

Eccentricity (e): 0.062

Orbit Range: 2.52 AU - 2.86 AU

Year: 1628 Days

Day: 40.7 Hours

Environment

Temp: -87 °C

Axial Tilt: 10.8 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Asteroid Belt

Center: 6.36 AU

Composition

Type: Main (Rocky/Icy Mix)

A dense region of planetesimals and debris.

Boundary

Planet 4 - Gas Giant

Semi-Major Axis: 10.03 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 417.2

Radius: 8.1

Gravity: 6.36 G

Time & Orbit

Eccentricity (e): 0.238

Orbit Range: 7.64 AU - 12.42 AU

Year: 11720 Days

Day: 14.3 Hours

Environment

Temp: -179 °C

Axial Tilt: 131.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (91)

Outer Limit: 117,452,574 km

• M1: 116,686 km (0.091 R)
• M2: 209,587 km (0.109 R)
• M3: 334,950 km (0.049 R)
• M4: 545,284 km (0.086 R)
• M5: 635,043 km (0.108 R)
• M6: 730,187 km (0.118 R)
• M7: 1,525,749 km (0.082 R)
• M8: 1,858,155 km (0.103 R)
• M9: 2,068,490 km (0.094 R)
• M10: 3,399,761 km (0.109 R)
• M11: 3,485,032 km (0.096 R)
• M12: 3,599,774 km (0.066 R)
• M13: 3,774,205 km (0.088 R)
• M14: 4,252,918 km (0.091 R)
• M15: 4,314,103 km (0.083 R)
• M16: 4,406,555 km (0.11 R)
• M17: 4,624,669 km (0.117 R)
• M18: 4,814,508 km (0.106 R)
• M19: 5,234,429 km (0.118 R)
• M20: 5,300,103 km (0.091 R)
• M21: 5,599,149 km (0.101 R)
• M22: 6,178,841 km (0.08 R)
• M23: 6,423,134 km (0.103 R)
• M24: 6,813,435 km (0.045 R)
• M25: 7,211,365 km (0.105 R)
• M26: 7,542,575 km (0.118 R)
• M27: 7,841,322 km (0.053 R)
• M28: 7,954,268 km (0.102 R)
• M29: 8,105,811 km (0.099 R)
• M30: 8,373,292 km (0.102 R)
• M31: 10,201,976 km (0.115 R)
• M32: 10,366,684 km (0.1 R)
• M33: 10,992,152 km (0.074 R)
• M34: 11,629,738 km (0.079 R)
• M35: 12,454,621 km (0.08 R)
• M36: 14,621,247 km (0.045 R)
• M37: 14,760,523 km (0.082 R)
• M38: 14,853,573 km (0.067 R)
• M39: 15,985,580 km (0.114 R)
• M40: 16,513,810 km (0.082 R)
• M41: 16,901,418 km (0.055 R)
• M42: 17,439,521 km (0.059 R)
• M43: 19,188,320 km (0.04 R)
• M44: 19,340,910 km (0.104 R)
• M45: 19,749,462 km (0.087 R)
• M46: 19,800,774 km (0.112 R)
• M47: 20,109,395 km (0.064 R)
• M48: 22,047,435 km (0.103 R)
• M49: 22,742,467 km (0.12 R)
• M50: 22,903,883 km (0.096 R)
• M51: 23,173,757 km (0.067 R)
• M52: 23,227,762 km (0.104 R)
• M53: 23,498,983 km (0.112 R)
• M54: 23,553,287 km (0.108 R)
• M55: 23,662,194 km (0.105 R)
• M56: 24,704,293 km (0.107 R)
• M57: 25,481,903 km (0.047 R)
• M58: 26,211,043 km (0.11 R)
• M59: 26,606,430 km (0.069 R)
• M60: 26,719,825 km (0.089 R)
• M61: 26,947,064 km (0.077 R)
• M62: 27,919,750 km (0.069 R)
• M63: 28,265,770 km (0.077 R)
• M64: 28,555,242 km (0.102 R)
• M65: 29,370,999 km (0.11 R)
• M66: 30,194,385 km (0.09 R)
• M67: 30,787,092 km (0.077 R)
• M68: 31,743,471 km (0.116 R)
• M69: 32,346,201 km (0.087 R)
• M70: 33,746,736 km (0.049 R)
• M71: 34,053,861 km (0.057 R)
• M72: 35,104,786 km (0.085 R)
• M73: 35,229,251 km (0.117 R)
• M74: 36,166,482 km (0.107 R)
• M75: 36,732,860 km (0.116 R)
• M76: 36,795,840 km (0.08 R)
• M77: 38,129,356 km (0.043 R)
• M78: 38,321,140 km (0.053 R)
• M79: 38,898,588 km (0.077 R)
• M80: 39,607,981 km (0.072 R)
• M81: 40,517,237 km (0.032 R)
• M82: 41,170,830 km (0.104 R)
• M83: 41,696,218 km (0.095 R)
• M84: 42,025,782 km (0.061 R)
• M85: 42,157,877 km (0.109 R)
• M86: 42,289,972 km (0.112 R)
• M87: 42,952,989 km (0.081 R)
• M88: 43,285,845 km (0.074 R)
• M89: 43,485,857 km (0.115 R)
• M90: 43,820,059 km (0.077 R)
• M91: 45,097,625 km (0.115 R)

Planet 5 - Gas Giant

Semi-Major Axis: 10.44 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 21.2

Radius: 11.8

Gravity: 0.15 G

Time & Orbit

Eccentricity (e): 0.232

Orbit Range: 8.02 AU - 12.86 AU

Year: 12446 Days

Day: 7 Hours

Environment

Temp: -176 °C

Axial Tilt: 31.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (27)

Outer Limit: 117,452,574 km

• M1: 151,094 km (0.113 R)
• M2: 334,052 km (0.102 R)
• M3: 768,035 km (0.074 R)
• M4: 984,204 km (0.085 R)
• M5: 1,241,363 km (0.115 R)
• M6: 1,644,978 km (0.104 R)
• M7: 2,101,102 km (0.089 R)
• M8: 3,257,643 km (0.107 R)
• M9: 4,175,277 km (0.117 R)
• M10: 4,287,475 km (0.09 R)
• M11: 4,613,449 km (0.049 R)
• M12: 5,942,476 km (0.055 R)
• M13: 6,453,802 km (0.045 R)
• M14: 8,251,669 km (0.064 R)
• M15: 8,332,302 km (0.112 R)
• M16: 8,760,003 km (0.055 R)
• M17: 11,383,800 km (0.115 R)
• M18: 12,018,095 km (0.074 R)
• M19: 12,570,859 km (0.089 R)
• M20: 12,920,618 km (0.046 R)
• M21: 13,297,156 km (0.088 R)
• M22: 13,653,498 km (0.092 R)
• M23: 13,749,092 km (0.072 R)
• M24: 14,448,611 km (0.098 R)
• M25: 15,656,913 km (0.067 R)
• M26: 16,769,323 km (0.08 R)
• M27: 17,180,119 km (0.111 R)

Planet 6 - Ice Giant

Semi-Major Axis: 13.31 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 782.7

Radius: 7.7

Gravity: 13.2 G

Time & Orbit

Eccentricity (e): 0.02

Orbit Range: 13.04 AU - 13.58 AU

Year: 17916 Days

Day: 19.1 Hours

Environment

Temp: -182 °C

Axial Tilt: 7.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (93)

Outer Limit: 117,452,574 km

• M1: 158,723 km (0.067 R)
• M2: 245,191 km (0.084 R)
• M3: 320,439 km (0.089 R)
• M4: 405,261 km (0.081 R)
• M5: 921,074 km (0.109 R)
• M6: 1,153,699 km (0.099 R)
• M7: 1,319,154 km (0.095 R)
• M8: 1,433,746 km (0.096 R)
• M9: 1,797,568 km (0.039 R)
• M10: 1,925,175 km (0.047 R)
• M11: 2,465,373 km (0.102 R)
• M12: 2,974,754 km (0.047 R)
• M13: 3,164,593 km (0.102 R)
• M14: 3,280,382 km (0.045 R)
• M15: 3,358,323 km (0.048 R)
• M16: 3,839,280 km (0.071 R)
• M17: 4,087,911 km (0.092 R)
• M18: 4,256,508 km (0.069 R)
• M19: 4,384,564 km (0.084 R)
• M20: 4,470,583 km (0.04 R)
• M21: 5,270,333 km (0.088 R)
• M22: 6,501,673 km (0.114 R)
• M23: 6,698,843 km (0.033 R)
• M24: 7,149,581 km (0.114 R)
• M25: 7,765,625 km (0.107 R)
• M26: 8,292,060 km (0.114 R)
• M27: 8,505,836 km (0.102 R)
• M28: 8,667,401 km (0.103 R)
• M29: 10,166,671 km (0.041 R)
• M30: 10,626,236 km (0.11 R)
• M31: 11,804,319 km (0.037 R)
• M32: 15,382,102 km (0.115 R)
• M33: 17,320,741 km (0.115 R)
• M34: 18,562,403 km (0.071 R)
• M35: 18,632,265 km (0.082 R)
• M36: 19,618,863 km (0.114 R)
• M37: 20,118,520 km (0.074 R)
• M38: 20,622,366 km (0.056 R)
• M39: 21,936,882 km (0.035 R)
• M40: 22,978,083 km (0.096 R)
• M41: 23,053,032 km (0.09 R)
• M42: 23,128,130 km (0.053 R)
• M43: 23,580,215 km (0.095 R)
• M44: 23,959,146 km (0.106 R)
• M45: 24,416,616 km (0.103 R)
• M46: 28,419,556 km (0.032 R)
• M47: 28,822,872 km (0.071 R)
• M48: 29,146,901 km (0.115 R)
• M49: 29,228,133 km (0.106 R)
• M50: 31,282,112 km (0.096 R)
• M51: 33,212,522 km (0.074 R)
• M52: 33,467,138 km (0.1 R)
• M53: 34,492,183 km (0.112 R)
• M54: 34,578,052 km (0.078 R)
• M55: 35,787,850 km (0.099 R)
• M56: 36,223,329 km (0.085 R)
• M57: 36,485,425 km (0.093 R)
• M58: 38,872,708 km (0.092 R)
• M59: 39,230,546 km (0.038 R)
• M60: 40,040,020 km (0.112 R)
• M61: 40,130,227 km (0.073 R)
• M62: 40,764,073 km (0.1 R)
• M63: 41,675,124 km (0.097 R)
• M64: 42,133,193 km (0.104 R)
• M65: 44,261,821 km (0.101 R)
• M66: 46,995,273 km (0.103 R)
• M67: 47,376,598 km (0.089 R)
• M68: 47,472,042 km (0.098 R)
• M69: 48,238,282 km (0.11 R)
• M70: 49,008,562 km (0.095 R)
• M71: 49,395,123 km (0.117 R)
• M72: 49,685,791 km (0.085 R)
• M73: 49,879,969 km (0.11 R)
• M74: 52,623,594 km (0.08 R)
• M75: 53,019,430 km (0.118 R)
• M76: 53,118,614 km (0.116 R)
• M77: 53,714,761 km (0.088 R)
• M78: 55,617,048 km (0.089 R)
• M79: 57,541,475 km (0.092 R)
• M80: 57,745,227 km (0.109 R)
• M81: 59,178,823 km (0.11 R)
• M82: 59,384,520 km (0.09 R)
• M83: 60,623,939 km (0.077 R)
• M84: 64,710,803 km (0.114 R)
• M85: 65,879,462 km (0.067 R)
• M86: 66,092,638 km (0.097 R)
• M87: 67,162,263 km (0.115 R)
• M88: 68,345,433 km (0.1 R)
• M89: 68,777,471 km (0.113 R)
• M90: 70,405,395 km (0.11 R)
• M91: 70,732,416 km (0.072 R)
• M92: 72,155,691 km (0.116 R)
• M93: 73,588,539 km (0.113 R)

Planet 7 - Ice Giant

Semi-Major Axis: 18.13 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 861.8

Radius: 4.5

Gravity: 42.56 G

Time & Orbit

Eccentricity (e): 0.049

Orbit Range: 17.24 AU - 19.02 AU

Year: 28482 Days

Day: 18.3 Hours

Environment

Temp: -203 °C

Axial Tilt: 36.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (98)

Outer Limit: 117,452,574 km

• M1: 116,836 km (0.104 R)
• M2: 306,975 km (0.083 R)
• M3: 372,200 km (0.116 R)
• M4: 650,751 km (0.085 R)
• M5: 825,780 km (0.111 R)
• M6: 887,265 km (0.057 R)
• M7: 1,507,498 km (0.051 R)
• M8: 1,660,237 km (0.091 R)
• M9: 2,021,965 km (0.077 R)
• M10: 2,319,665 km (0.074 R)
• M11: 3,441,200 km (0.05 R)
• M12: 4,214,770 km (0.027 R)
• M13: 4,538,650 km (0.108 R)
• M14: 4,814,807 km (0.077 R)
• M15: 4,983,105 km (0.108 R)
• M16: 5,039,653 km (0.06 R)
• M17: 5,153,347 km (0.118 R)
• M18: 5,616,502 km (0.068 R)
• M19: 6,092,972 km (0.108 R)
• M20: 7,147,786 km (0.073 R)
• M21: 7,468,674 km (0.083 R)
• M22: 8,459,311 km (0.083 R)
• M23: 9,420,328 km (0.035 R)
• M24: 10,852,278 km (0.103 R)
• M25: 11,146,687 km (0.093 R)
• M26: 11,969,924 km (0.094 R)
• M27: 12,121,616 km (0.087 R)
• M28: 12,580,732 km (0.116 R)
• M29: 13,045,682 km (0.027 R)
• M30: 14,797,473 km (0.12 R)
• M31: 15,370,134 km (0.114 R)
• M32: 17,045,929 km (0.092 R)
• M33: 18,427,765 km (0.062 R)
• M34: 18,778,871 km (0.067 R)
• M35: 18,955,247 km (0.119 R)
• M36: 19,043,659 km (0.101 R)
• M37: 19,309,644 km (0.082 R)
• M38: 20,024,872 km (0.093 R)
• M39: 20,295,345 km (0.088 R)
• M40: 21,481,207 km (0.063 R)
• M41: 21,758,113 km (0.111 R)
• M42: 22,971,351 km (0.052 R)
• M43: 24,206,431 km (0.095 R)
• M44: 24,590,748 km (0.052 R)
• M45: 27,537,078 km (0.086 R)
• M46: 27,837,770 km (0.114 R)
• M47: 30,385,572 km (0.12 R)
• M48: 31,529,995 km (0.072 R)
• M49: 32,476,800 km (0.108 R)
• M50: 33,326,217 km (0.113 R)
• M51: 33,432,880 km (0.108 R)
• M52: 35,263,958 km (0.109 R)
• M53: 36,356,322 km (0.095 R)
• M54: 38,910,257 km (0.103 R)
• M55: 39,698,937 km (0.112 R)
• M56: 39,812,033 km (0.081 R)
• M57: 39,925,278 km (0.099 R)
• M58: 44,188,668 km (0.086 R)
• M59: 47,749,845 km (0.076 R)
• M60: 48,352,276 km (0.039 R)
• M61: 49,321,520 km (0.078 R)
• M62: 49,564,767 km (0.109 R)
• M63: 52,143,235 km (0.042 R)
• M64: 52,267,102 km (0.104 R)
• M65: 54,387,802 km (0.084 R)
• M66: 54,890,900 km (0.084 R)
• M67: 57,046,156 km (0.09 R)
• M68: 57,429,276 km (0.082 R)
• M69: 58,069,854 km (0.107 R)
• M70: 59,099,686 km (0.109 R)
• M71: 59,487,444 km (0.104 R)
• M72: 60,135,502 km (0.096 R)
• M73: 62,356,581 km (0.064 R)
• M74: 63,940,374 km (0.089 R)
• M75: 65,403,890 km (0.104 R)
• M76: 67,822,289 km (0.073 R)
• M77: 68,635,054 km (0.118 R)
• M78: 74,552,548 km (0.087 R)
• M79: 78,067,350 km (0.037 R)
• M80: 80,487,993 km (0.09 R)
• M81: 82,499,935 km (0.033 R)
• M82: 82,788,658 km (0.056 R)
• M83: 85,402,732 km (0.087 R)
• M84: 86,719,791 km (0.032 R)
• M85: 87,307,412 km (0.101 R)
• M86: 88,338,739 km (0.069 R)
• M87: 88,634,195 km (0.088 R)
• M88: 90,413,662 km (0.081 R)
• M89: 92,654,488 km (0.048 R)
• M90: 92,804,535 km (0.111 R)
• M91: 93,405,470 km (0.083 R)
• M92: 96,429,591 km (0.073 R)
• M93: 97,343,035 km (0.063 R)
• M94: 98,106,583 km (0.085 R)
• M95: 98,871,926 km (0.068 R)
• M96: 99,178,751 km (0.104 R)
• M97: 100,562,830 km (0.07 R)
• M98: 101,643,824 km (0.064 R)

Asteroid Belt

Center: 18.82 AU

Composition

Type: Outer System (Icy)

A dense region of planetesimals and debris.

Boundary

Planet 8 - Ice Giant

Semi-Major Axis: 19.51 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 996.9

Radius: 5.6

Gravity: 31.79 G

Time & Orbit

Eccentricity (e): 0.221

Orbit Range: 15.2 AU - 23.82 AU

Year: 31795 Days

Day: 15.2 Hours

Environment

Temp: -195 °C

Axial Tilt: 44.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (96)

Outer Limit: 117,452,574 km

• M1: 377,136 km (0.072 R)
• M2: 939,175 km (0.078 R)
• M3: 1,116,299 km (0.067 R)
• M4: 1,583,793 km (0.092 R)
• M5: 1,667,119 km (0.066 R)
• M6: 2,105,291 km (0.052 R)
• M7: 2,384,889 km (0.108 R)
• M8: 3,081,866 km (0.107 R)
• M9: 3,615,781 km (0.12 R)
• M10: 3,670,833 km (0.115 R)
• M11: 4,235,864 km (0.105 R)
• M12: 4,528,477 km (0.092 R)
• M13: 4,647,407 km (0.062 R)
• M14: 4,767,385 km (0.097 R)
• M15: 5,010,332 km (0.115 R)
• M16: 6,021,913 km (0.094 R)
• M17: 6,218,484 km (0.084 R)
• M18: 7,232,758 km (0.087 R)
• M19: 8,810,716 km (0.09 R)
• M20: 9,945,117 km (0.072 R)
• M21: 11,365,848 km (0.096 R)
• M22: 11,935,367 km (0.097 R)
• M23: 12,347,808 km (0.082 R)
• M24: 12,597,487 km (0.104 R)
• M25: 14,217,482 km (0.097 R)
• M26: 14,304,548 km (0.062 R)
• M27: 14,479,129 km (0.115 R)
• M28: 15,901,805 km (0.11 R)
• M29: 16,538,045 km (0.111 R)
• M30: 18,023,402 km (0.112 R)
• M31: 18,212,045 km (0.08 R)
• M32: 20,134,228 km (0.073 R)
• M33: 20,428,188 km (0.044 R)
• M34: 21,417,927 km (0.061 R)
• M35: 22,019,311 km (0.067 R)
• M36: 23,341,157 km (0.071 R)
• M37: 24,583,867 km (0.091 R)
• M38: 26,274,173 km (0.103 R)
• M39: 29,654,188 km (0.056 R)
• M40: 34,446,256 km (0.068 R)
• M41: 35,032,530 km (0.061 R)
• M42: 35,150,114 km (0.069 R)
• M43: 43,325,937 km (0.077 R)
• M44: 44,339,762 km (0.045 R)
• M45: 45,746,430 km (0.089 R)
• M46: 46,649,254 km (0.112 R)
• M47: 47,297,611 km (0.077 R)
• M48: 47,818,511 km (0.115 R)
• M49: 48,341,355 km (0.092 R)
• M50: 49,656,620 km (0.111 R)
• M51: 51,116,994 km (0.05 R)
• M52: 51,517,617 km (0.118 R)
• M53: 57,930,130 km (0.052 R)
• M54: 59,046,429 km (0.046 R)
• M55: 59,888,216 km (0.111 R)
• M56: 60,028,838 km (0.114 R)
• M57: 61,158,452 km (0.076 R)
• M58: 62,152,530 km (0.045 R)
• M59: 62,722,946 km (0.105 R)
• M60: 63,151,844 km (0.09 R)
• M61: 63,869,016 km (0.083 R)
• M62: 64,156,543 km (0.088 R)
• M63: 65,021,967 km (0.054 R)
• M64: 65,746,020 km (0.079 R)
• M65: 68,816,367 km (0.119 R)
• M66: 69,258,728 km (0.104 R)
• M67: 71,186,745 km (0.113 R)
• M68: 72,832,023 km (0.108 R)
• M69: 74,943,896 km (0.101 R)
• M70: 77,535,230 km (0.048 R)
• M71: 78,764,775 km (0.046 R)
• M72: 80,310,869 km (0.037 R)
• M73: 81,554,925 km (0.058 R)
• M74: 82,805,264 km (0.101 R)
• M75: 83,432,827 km (0.055 R)
• M76: 85,166,816 km (0.115 R)
• M77: 90,117,009 km (0.09 R)
• M78: 91,895,878 km (0.094 R)
• M79: 93,522,904 km (0.036 R)
• M80: 94,995,545 km (0.107 R)
• M81: 96,805,680 km (0.112 R)
• M82: 96,970,836 km (0.086 R)
• M83: 97,632,208 km (0.046 R)
• M84: 98,627,183 km (0.11 R)
• M85: 99,125,943 km (0.07 R)
• M86: 99,959,053 km (0.075 R)
• M87: 100,961,808 km (0.112 R)
• M88: 102,472,297 km (0.107 R)
• M89: 103,990,117 km (0.113 R)
• M90: 106,025,546 km (0.106 R)
• M91: 106,195,788 km (0.118 R)
• M92: 108,759,896 km (0.1 R)
• M93: 109,103,223 km (0.061 R)
• M94: 112,210,221 km (0.093 R)
• M95: 112,730,822 km (0.067 R)
• M96: 116,046,808 km (0.096 R)

Kuiper Belt

Range: 30 - 60 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 429 - 15,182 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit