🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 1.99 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.7

Radius: 1.86

Gravity: 1.36 G

Time & Orbit

Eccentricity (e): 0.162

Orbit Range: 1.67 AU - 2.31 AU

Year: 1046 Days

Day: 37.6 Hours

Environment

Temp: -79 °C

Axial Tilt: 17.6 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 2 - Gas Giant

Semi-Major Axis: 5.41 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 984.4

Radius: 13.6

Gravity: 5.32 G

Time & Orbit

Eccentricity (e): 0.034

Orbit Range: 5.23 AU - 5.59 AU

Year: 4691 Days

Day: 11.1 Hours

Environment

Temp: -147 °C

Axial Tilt: 24 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (81)

Outer Limit: 68,597,685 km

• M1: 196,871 km (0.091 R)
• M2: 329,564 km (0.102 R)
• M3: 489,634 km (0.113 R)
• M4: 599,588 km (0.064 R)
• M5: 849,716 km (0.107 R)
• M6: 945,907 km (0.048 R)
• M7: 1,165,816 km (0.118 R)
• M8: 1,798,466 km (0.098 R)
• M9: 1,962,874 km (0.078 R)
• M10: 2,228,859 km (0.091 R)
• M11: 2,486,466 km (0.063 R)
• M12: 2,923,591 km (0.039 R)
• M13: 3,228,771 km (0.058 R)
• M14: 3,317,782 km (0.112 R)
• M15: 3,590,199 km (0.089 R)
• M16: 3,682,651 km (0.108 R)
• M17: 5,008,238 km (0.063 R)
• M18: 5,295,166 km (0.095 R)
• M19: 5,400,782 km (0.095 R)
• M20: 5,560,702 km (0.109 R)
• M21: 6,188,266 km (0.09 R)
• M22: 6,524,711 km (0.081 R)
• M23: 6,838,418 km (0.046 R)
• M24: 6,924,736 km (0.119 R)
• M25: 7,157,061 km (0.079 R)
• M26: 7,391,930 km (0.101 R)
• M27: 8,111,945 km (0.116 R)
• M28: 8,203,498 km (0.068 R)
• M29: 8,418,471 km (0.107 R)
• M30: 8,573,304 km (0.1 R)
• M31: 8,885,665 km (0.053 R)
• M32: 9,011,776 km (0.098 R)
• M33: 9,106,621 km (0.11 R)
• M34: 9,457,577 km (0.062 R)
• M35: 9,586,232 km (0.099 R)
• M36: 9,747,947 km (0.117 R)
• M37: 9,943,172 km (0.098 R)
• M38: 10,837,917 km (0.115 R)
• M39: 11,380,359 km (0.063 R)
• M40: 11,654,871 km (0.089 R)
• M41: 11,827,656 km (0.089 R)
• M42: 12,036,046 km (0.037 R)
• M43: 12,562,332 km (0.108 R)
• M44: 13,203,957 km (0.063 R)
• M45: 13,384,073 km (0.106 R)
• M46: 14,891,720 km (0.114 R)
• M47: 15,532,597 km (0.109 R)
• M48: 16,452,774 km (0.114 R)
• M49: 16,919,370 km (0.062 R)
• M50: 17,311,615 km (0.087 R)
• M51: 17,548,429 km (0.077 R)
• M52: 18,105,232 km (0.118 R)
• M53: 18,748,652 km (0.113 R)
• M54: 19,317,872 km (0.086 R)
• M55: 19,522,522 km (0.076 R)
• M56: 20,265,126 km (0.11 R)
• M57: 20,389,891 km (0.074 R)
• M58: 20,514,805 km (0.099 R)
• M59: 20,975,117 km (0.112 R)
• M60: 21,735,823 km (0.072 R)
• M61: 22,033,971 km (0.056 R)
• M62: 22,333,616 km (0.037 R)
• M63: 23,327,544 km (0.109 R)
• M64: 23,589,340 km (0.108 R)
• M65: 24,601,370 km (0.093 R)
• M66: 25,762,549 km (0.085 R)
• M67: 25,897,785 km (0.115 R)
• M68: 26,078,350 km (0.091 R)
• M69: 26,759,170 km (0.114 R)
• M70: 26,850,275 km (0.089 R)
• M71: 27,216,191 km (0.088 R)
• M72: 28,696,312 km (0.078 R)
• M73: 29,023,632 km (0.111 R)
• M74: 29,164,254 km (0.043 R)
• M75: 30,869,670 km (0.118 R)
• M76: 31,061,155 km (0.104 R)
• M77: 31,348,982 km (0.112 R)
• M78: 31,782,666 km (0.092 R)
• M79: 32,218,295 km (0.078 R)
• M80: 32,412,473 km (0.12 R)
• M81: 32,607,100 km (0.05 R)

Planet 3 - Gas Giant

Semi-Major Axis: 8.74 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 688.4

Radius: 12

Gravity: 4.78 G

Time & Orbit

Eccentricity (e): 0.114

Orbit Range: 7.74 AU - 9.74 AU

Year: 9632 Days

Day: 13.8 Hours

Environment

Temp: -168 °C

Axial Tilt: 22.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (86)

Outer Limit: 68,597,685 km

• M1: 182,659 km (0.111 R)
• M2: 454,927 km (0.063 R)
• M3: 852,409 km (0.085 R)
• M4: 1,088,923 km (0.071 R)
• M5: 1,245,253 km (0.09 R)
• M6: 1,647,521 km (0.12 R)
• M7: 1,922,333 km (0.107 R)
• M8: 2,362,450 km (0.111 R)
• M9: 2,753,199 km (0.097 R)
• M10: 2,833,832 km (0.085 R)
• M11: 3,025,318 km (0.095 R)
• M12: 3,392,132 km (0.087 R)
• M13: 4,045,575 km (0.043 R)
• M14: 4,199,661 km (0.049 R)
• M15: 4,418,523 km (0.068 R)
• M16: 4,900,377 km (0.074 R)
• M17: 5,534,822 km (0.074 R)
• M18: 5,671,704 km (0.069 R)
• M19: 6,337,564 km (0.116 R)
• M20: 6,661,593 km (0.11 R)
• M21: 7,176,509 km (0.082 R)
• M22: 7,742,587 km (0.117 R)
• M23: 7,819,182 km (0.092 R)
• M24: 8,050,460 km (0.11 R)
• M25: 8,283,982 km (0.095 R)
• M26: 8,440,910 km (0.038 R)
• M27: 8,678,172 km (0.049 R)
• M28: 9,118,888 km (0.079 R)
• M29: 9,240,361 km (0.073 R)
• M30: 9,403,273 km (0.116 R)
• M31: 9,814,518 km (0.083 R)
• M32: 10,147,822 km (0.109 R)
• M33: 10,231,746 km (0.083 R)
• M34: 10,484,716 km (0.11 R)
• M35: 10,782,715 km (0.105 R)
• M36: 11,430,474 km (0.094 R)
• M37: 11,605,504 km (0.11 R)
• M38: 12,854,496 km (0.094 R)
• M39: 12,990,929 km (0.046 R)
• M40: 13,082,184 km (0.108 R)
• M41: 13,311,069 km (0.102 R)
• M42: 13,402,922 km (0.107 R)
• M43: 13,958,977 km (0.047 R)
• M44: 14,052,476 km (0.064 R)
• M45: 14,145,975 km (0.068 R)
• M46: 14,617,358 km (0.1 R)
• M47: 15,189,569 km (0.088 R)
• M48: 15,285,761 km (0.066 R)
• M49: 15,964,187 km (0.104 R)
• M50: 16,553,453 km (0.097 R)
• M51: 17,350,361 km (0.11 R)
• M52: 18,826,443 km (0.041 R)
• M53: 19,240,680 km (0.058 R)
• M54: 19,344,800 km (0.053 R)
• M55: 19,867,794 km (0.06 R)
• M56: 21,464,602 km (0.062 R)
• M57: 23,490,456 km (0.103 R)
• M58: 23,713,058 km (0.064 R)
• M59: 23,992,357 km (0.115 R)
• M60: 24,723,591 km (0.088 R)
• M61: 25,519,452 km (0.037 R)
• M62: 25,633,745 km (0.12 R)
• M63: 25,862,929 km (0.091 R)
• M64: 26,035,415 km (0.053 R)
• M65: 26,439,030 km (0.089 R)
• M66: 26,670,757 km (0.077 R)
• M67: 28,310,948 km (0.102 R)
• M68: 28,488,671 km (0.119 R)
• M69: 28,785,622 km (0.074 R)
• M70: 31,014,780 km (0.084 R)
• M71: 32,119,261 km (0.09 R)
• M72: 32,366,547 km (0.101 R)
• M73: 33,486,586 km (0.094 R)
• M74: 35,573,177 km (0.065 R)
• M75: 35,828,989 km (0.083 R)
• M76: 35,957,045 km (0.105 R)
• M77: 36,342,260 km (0.055 R)
• M78: 39,143,180 km (0.034 R)
• M79: 39,738,131 km (0.114 R)
• M80: 40,803,268 km (0.116 R)
• M81: 41,339,427 km (0.078 R)
• M82: 41,743,042 km (0.106 R)
• M83: 42,012,767 km (0.099 R)
• M84: 44,123,294 km (0.086 R)
• M85: 45,295,393 km (0.105 R)
• M86: 45,989,527 km (0.097 R)

Planet 4 - Gas Giant

Semi-Major Axis: 9.65 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 373.7

Radius: 11.1

Gravity: 3.03 G

Time & Orbit

Eccentricity (e): 0.085

Orbit Range: 8.83 AU - 10.47 AU

Year: 11175 Days

Day: 12.8 Hours

Environment

Temp: -173 °C

Axial Tilt: 39.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (81)

Outer Limit: 68,597,685 km

• M1: 223,050 km (0.094 R)
• M2: 539,300 km (0.084 R)
• M3: 710,141 km (0.116 R)
• M4: 899,981 km (0.115 R)
• M5: 1,071,420 km (0.037 R)
• M6: 1,273,078 km (0.028 R)
• M7: 1,368,970 km (0.112 R)
• M8: 1,447,509 km (0.078 R)
• M9: 1,527,693 km (0.091 R)
• M10: 1,863,840 km (0.116 R)
• M11: 2,340,159 km (0.066 R)
• M12: 2,580,264 km (0.087 R)
• M13: 2,955,605 km (0.049 R)
• M14: 3,483,087 km (0.085 R)
• M15: 3,564,768 km (0.043 R)
• M16: 4,040,040 km (0.119 R)
• M17: 5,487,699 km (0.116 R)
• M18: 6,233,594 km (0.072 R)
• M19: 6,500,626 km (0.119 R)
• M20: 6,737,290 km (0.105 R)
• M21: 6,942,388 km (0.036 R)
• M22: 7,114,875 km (0.086 R)
• M23: 7,534,796 km (0.111 R)
• M24: 8,143,659 km (0.108 R)
• M25: 8,216,364 km (0.082 R)
• M26: 8,398,873 km (0.107 R)
• M27: 9,142,823 km (0.113 R)
• M28: 10,102,344 km (0.09 R)
• M29: 11,134,121 km (0.109 R)
• M30: 11,785,619 km (0.099 R)
• M31: 12,115,932 km (0.064 R)
• M32: 12,743,794 km (0.109 R)
• M33: 13,253,623 km (0.062 R)
• M34: 13,943,868 km (0.082 R)
• M35: 14,030,934 km (0.109 R)
• M36: 14,778,624 km (0.088 R)
• M37: 15,001,076 km (0.11 R)
• M38: 15,674,865 km (0.077 R)
• M39: 15,765,372 km (0.076 R)
• M40: 16,773,512 km (0.06 R)
• M41: 17,849,569 km (0.103 R)
• M42: 19,383,546 km (0.062 R)
• M43: 20,117,174 km (0.078 R)
• M44: 20,660,962 km (0.119 R)
• M45: 20,859,927 km (0.07 R)
• M46: 22,066,733 km (0.06 R)
• M47: 22,935,298 km (0.092 R)
• M48: 23,038,222 km (0.114 R)
• M49: 23,710,963 km (0.107 R)
• M50: 23,867,143 km (0.083 R)
• M51: 24,128,192 km (0.113 R)
• M52: 24,285,270 km (0.081 R)
• M53: 24,390,287 km (0.115 R)
• M54: 24,969,979 km (0.067 R)
• M55: 25,128,852 km (0.107 R)
• M56: 25,500,902 km (0.088 R)
• M57: 25,928,303 km (0.105 R)
• M58: 26,196,682 km (0.06 R)
• M59: 26,736,281 km (0.098 R)
• M60: 28,542,526 km (0.101 R)
• M61: 28,986,383 km (0.062 R)
• M62: 29,264,934 km (0.117 R)
• M63: 29,656,431 km (0.089 R)
• M64: 30,162,222 km (0.043 R)
• M65: 30,557,609 km (0.115 R)
• M66: 30,841,097 km (0.095 R)
• M67: 31,296,623 km (0.067 R)
• M68: 31,410,766 km (0.093 R)
• M69: 32,271,701 km (0.108 R)
• M70: 32,966,135 km (0.099 R)
• M71: 35,911,866 km (0.103 R)
• M72: 36,031,395 km (0.102 R)
• M73: 36,271,051 km (0.092 R)
• M74: 36,811,997 km (0.05 R)
• M75: 36,992,861 km (0.096 R)
• M76: 38,389,656 km (0.069 R)
• M77: 38,940,924 km (0.083 R)
• M78: 40,051,240 km (0.078 R)
• M79: 41,234,559 km (0.096 R)
• M80: 41,422,454 km (0.096 R)
• M81: 42,176,876 km (0.097 R)

Planet 5 - Ice Giant

Semi-Major Axis: 17.3 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 786.6

Radius: 3.4

Gravity: 68.04 G

Time & Orbit

Eccentricity (e): 0.04

Orbit Range: 16.61 AU - 17.99 AU

Year: 26824 Days

Day: 20.4 Hours

Environment

Temp: -207 °C

Axial Tilt: 37.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (94)

Outer Limit: 68,597,685 km

• M1: 76,594 km (0.118 R)
• M2: 124,914 km (0.108 R)
• M3: 169,644 km (0.086 R)
• M4: 380,128 km (0.102 R)
• M5: 649,554 km (0.096 R)
• M6: 1,291,628 km (0.107 R)
• M7: 2,968,471 km (0.098 R)
• M8: 3,527,967 km (0.107 R)
• M9: 3,819,682 km (0.067 R)
• M10: 4,477,913 km (0.109 R)
• M11: 5,501,462 km (0.046 R)
• M12: 8,966,896 km (0.116 R)
• M13: 9,833,517 km (0.117 R)
• M14: 10,037,269 km (0.051 R)
• M15: 10,936,203 km (0.113 R)
• M16: 11,006,364 km (0.107 R)
• M17: 11,147,136 km (0.057 R)
• M18: 11,932,525 km (0.102 R)
• M19: 12,222,595 km (0.111 R)
• M20: 13,480,713 km (0.07 R)
• M21: 13,631,508 km (0.094 R)
• M22: 13,707,055 km (0.12 R)
• M23: 14,393,410 km (0.104 R)
• M24: 14,624,688 km (0.064 R)
• M25: 14,779,522 km (0.064 R)
• M26: 16,357,630 km (0.119 R)
• M27: 16,598,931 km (0.084 R)
• M28: 16,922,511 km (0.082 R)
• M29: 17,493,825 km (0.1 R)
• M30: 18,404,278 km (0.119 R)
• M31: 20,270,661 km (0.099 R)
• M32: 21,930,449 km (0.097 R)
• M33: 22,463,467 km (0.082 R)
• M34: 22,911,063 km (0.113 R)
• M35: 23,723,978 km (0.089 R)
• M36: 25,285,032 km (0.054 R)
• M37: 26,595,509 km (0.066 R)
• M38: 26,689,906 km (0.078 R)
• M39: 27,163,682 km (0.108 R)
• M40: 27,258,826 km (0.104 R)
• M41: 29,184,151 km (0.074 R)
• M42: 32,354,429 km (0.107 R)
• M43: 34,185,058 km (0.078 R)
• M44: 35,631,969 km (0.109 R)
• M45: 36,677,658 km (0.053 R)
• M46: 37,521,390 km (0.03 R)
• M47: 37,627,305 km (0.118 R)
• M48: 39,120,591 km (0.099 R)
• M49: 41,068,954 km (0.079 R)
• M50: 42,827,028 km (0.103 R)
• M51: 43,381,587 km (0.119 R)
• M52: 43,492,739 km (0.11 R)
• M53: 43,826,791 km (0.054 R)
• M54: 46,189,091 km (0.075 R)
• M55: 47,099,992 km (0.034 R)
• M56: 47,214,135 km (0.105 R)
• M57: 47,557,612 km (0.119 R)
• M58: 49,867,553 km (0.114 R)
• M59: 51,036,211 km (0.111 R)
• M60: 51,271,080 km (0.094 R)
• M61: 51,506,248 km (0.094 R)
• M62: 51,741,864 km (0.1 R)
• M63: 53,043,665 km (0.078 R)
• M64: 53,281,526 km (0.112 R)
• M65: 53,997,202 km (0.047 R)
• M66: 54,476,065 km (0.1 R)
• M67: 55,679,430 km (0.112 R)
• M68: 55,800,155 km (0.078 R)
• M69: 56,042,055 km (0.118 R)
• M70: 58,357,531 km (0.1 R)
• M71: 59,712,140 km (0.097 R)
• M72: 60,579,658 km (0.1 R)
• M73: 63,333,007 km (0.083 R)
• M74: 63,838,049 km (0.11 R)
• M75: 64,091,019 km (0.11 R)
• M76: 64,217,579 km (0.088 R)
• M77: 64,851,874 km (0.079 R)
• M78: 65,743,477 km (0.106 R)
• M79: 66,510,914 km (0.111 R)
• M80: 66,767,474 km (0.115 R)
• M81: 68,183,867 km (0.108 R)
• M82: 70,522,979 km (0.066 R)
• M83: 71,177,470 km (0.107 R)
• M84: 73,152,760 km (0.113 R)
• M85: 76,350,415 km (0.034 R)
• M86: 80,684,564 km (0.099 R)
• M87: 82,330,291 km (0.043 R)
• M88: 84,819,450 km (0.099 R)
• M89: 85,236,828 km (0.069 R)
• M90: 85,515,379 km (0.12 R)
• M91: 86,492,702 km (0.087 R)
• M92: 88,036,103 km (0.086 R)
• M93: 93,580,499 km (0.11 R)
• M94: 95,020,379 km (0.116 R)

Planet 6 - Ice Giant

Semi-Major Axis: 18.69 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 221.3

Radius: 3.7

Gravity: 16.17 G

Time & Orbit

Eccentricity (e): 0.224

Orbit Range: 14.5 AU - 22.88 AU

Year: 30121 Days

Day: 23.3 Hours

Environment

Temp: -197 °C

Axial Tilt: 11.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (93)

Outer Limit: 68,597,685 km

• M1: 70,311 km (0.103 R)
• M2: 136,134 km (0.061 R)
• M3: 211,531 km (0.113 R)
• M4: 333,454 km (0.064 R)
• M5: 475,721 km (0.11 R)
• M6: 1,130,062 km (0.101 R)
• M7: 1,181,973 km (0.044 R)
• M8: 1,208,302 km (0.048 R)
• M9: 1,398,142 km (0.101 R)
• M10: 1,482,365 km (0.1 R)
• M11: 1,597,107 km (0.088 R)
• M12: 2,279,124 km (0.088 R)
• M13: 2,378,457 km (0.065 R)
• M14: 3,637,023 km (0.116 R)
• M15: 4,068,464 km (0.102 R)
• M16: 5,150,804 km (0.083 R)
• M17: 5,678,586 km (0.077 R)
• M18: 6,177,494 km (0.088 R)
• M19: 6,269,647 km (0.114 R)
• M20: 7,264,921 km (0.075 R)
• M21: 8,410,093 km (0.04 R)
• M22: 8,461,256 km (0.095 R)
• M23: 8,615,042 km (0.043 R)
• M24: 8,717,966 km (0.083 R)
• M25: 10,476,040 km (0.1 R)
• M26: 12,397,026 km (0.061 R)
• M27: 12,571,756 km (0.105 R)
• M28: 12,688,592 km (0.064 R)
• M29: 13,576,605 km (0.056 R)
• M30: 14,730,005 km (0.062 R)
• M31: 14,791,489 km (0.07 R)
• M32: 15,162,791 km (0.094 R)
• M33: 15,224,874 km (0.072 R)
• M34: 17,518,659 km (0.087 R)
• M35: 20,808,615 km (0.114 R)
• M36: 21,293,911 km (0.08 R)
• M37: 21,363,623 km (0.12 R)
• M38: 22,275,572 km (0.1 R)
• M39: 23,631,228 km (0.109 R)
• M40: 24,501,139 km (0.08 R)
• M41: 25,086,815 km (0.058 R)
• M42: 26,122,930 km (0.058 R)
• M43: 26,721,321 km (0.1 R)
• M44: 27,248,504 km (0.062 R)
• M45: 27,703,132 km (0.09 R)
• M46: 28,619,868 km (0.065 R)
• M47: 29,236,660 km (0.119 R)
• M48: 30,248,091 km (0.079 R)
• M49: 30,718,726 km (0.114 R)
• M50: 30,954,941 km (0.106 R)
• M51: 31,667,326 km (0.117 R)
• M52: 31,746,763 km (0.078 R)
• M53: 32,625,500 km (0.107 R)
• M54: 33,593,099 km (0.064 R)
• M55: 35,144,429 km (0.105 R)
• M56: 35,639,150 km (0.117 R)
• M57: 35,721,877 km (0.069 R)
• M58: 36,053,236 km (0.109 R)
• M59: 36,468,819 km (0.032 R)
• M60: 36,552,145 km (0.095 R)
• M61: 36,718,947 km (0.053 R)
• M62: 36,969,673 km (0.073 R)
• M63: 37,220,997 km (0.075 R)
• M64: 37,893,889 km (0.118 R)
• M65: 39,764,760 km (0.034 R)
• M66: 40,452,461 km (0.09 R)
• M67: 41,230,968 km (0.076 R)
• M68: 45,285,968 km (0.034 R)
• M69: 46,635,491 km (0.085 R)
• M70: 48,363,645 km (0.082 R)
• M71: 48,546,753 km (0.1 R)
• M72: 49,281,727 km (0.085 R)
• M73: 49,373,730 km (0.071 R)
• M74: 51,228,145 km (0.113 R)
• M75: 53,105,000 km (0.108 R)
• M76: 53,483,184 km (0.11 R)
• M77: 55,386,966 km (0.107 R)
• M78: 55,770,385 km (0.069 R)
• M79: 56,347,235 km (0.113 R)
• M80: 57,992,063 km (0.064 R)
• M81: 61,527,211 km (0.084 R)
• M82: 61,824,910 km (0.072 R)
• M83: 62,023,726 km (0.101 R)
• M84: 62,322,174 km (0.095 R)
• M85: 63,721,662 km (0.116 R)
• M86: 64,022,952 km (0.112 R)
• M87: 64,727,558 km (0.081 R)
• M88: 65,030,344 km (0.102 R)
• M89: 65,333,728 km (0.101 R)
• M90: 66,144,699 km (0.093 R)
• M91: 66,551,455 km (0.071 R)
• M92: 66,755,207 km (0.119 R)
• M93: 67,265,336 km (0.114 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: 232 - 19,487 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit