🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.61 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.01

Radius: 1.74

Gravity: 1.32 G

Time & Orbit

Eccentricity (e): 0.134

Orbit Range: 0.53 AU - 0.69 AU

Year: 303 Days

Day: 12.8 Hours

Environment

Temp: -139 °C

Axial Tilt: 36.9 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Asteroid Belt

Center: 0.96 AU

Composition

Type: Outer System (Icy)

A dense region of planetesimals and debris.

Boundary

Planet 2 - Gas Giant

Semi-Major Axis: 1.3 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 103.7

Radius: 8.1

Gravity: 1.58 G

Time & Orbit

Eccentricity (e): 0.23

Orbit Range: 1 AU - 1.6 AU

Year: 942 Days

Day: 5.8 Hours

Environment

Temp: -178 °C

Axial Tilt: 48.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (46)

Outer Limit: 48,316,470 km

• M1: 103,821 km (0.105 R)
• M2: 182,809 km (0.1 R)
• M3: 267,331 km (0.116 R)
• M4: 352,453 km (0.081 R)
• M5: 414,386 km (0.111 R)
• M6: 607,367 km (0.079 R)
• M7: 661,971 km (0.094 R)
• M8: 949,198 km (0.115 R)
• M9: 1,107,024 km (0.085 R)
• M10: 1,216,979 km (0.076 R)
• M11: 1,287,738 km (0.067 R)
• M12: 1,374,505 km (0.111 R)
• M13: 1,458,280 km (0.058 R)
• M14: 1,579,454 km (0.057 R)
• M15: 1,641,388 km (0.113 R)
• M16: 1,730,399 km (0.079 R)
• M17: 1,789,041 km (0.11 R)
• M18: 1,880,744 km (0.04 R)
• M19: 1,974,243 km (0.096 R)
• M20: 2,063,703 km (0.09 R)
• M21: 2,125,935 km (0.063 R)
• M22: 2,275,533 km (0.116 R)
• M23: 2,328,192 km (0.088 R)
• M24: 2,410,919 km (0.093 R)
• M25: 2,548,998 km (0.068 R)
• M26: 2,646,536 km (0.06 R)
• M27: 2,764,120 km (0.113 R)
• M28: 2,959,644 km (0.088 R)
• M29: 3,324,364 km (0.053 R)
• M30: 3,424,445 km (0.051 R)
• M31: 3,478,300 km (0.112 R)
• M32: 3,580,027 km (0.025 R)
• M33: 3,641,511 km (0.082 R)
• M34: 3,744,734 km (0.074 R)
• M35: 3,870,097 km (0.105 R)
• M36: 4,131,893 km (0.113 R)
• M37: 4,189,339 km (0.097 R)
• M38: 4,246,934 km (0.061 R)
• M39: 4,304,828 km (0.092 R)
• M40: 4,392,193 km (0.111 R)
• M41: 4,465,496 km (0.117 R)
• M42: 4,531,768 km (0.085 R)
• M43: 4,665,359 km (0.12 R)
• M44: 4,944,210 km (0.104 R)
• M45: 5,104,728 km (0.106 R)
• M46: 5,236,075 km (0.072 R)

Planet 3 - Gas Giant

Semi-Major Axis: 3.37 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 596.7

Radius: 11

Gravity: 4.93 G

Time & Orbit

Eccentricity (e): 0.039

Orbit Range: 3.24 AU - 3.5 AU

Year: 3933 Days

Day: 12.5 Hours

Environment

Temp: -205 °C

Axial Tilt: 28.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (75)

Outer Limit: 48,316,470 km

• M1: 143,016 km (0.107 R)
• M2: 216,618 km (0.116 R)
• M3: 410,048 km (0.072 R)
• M4: 532,419 km (0.106 R)
• M5: 609,013 km (0.113 R)
• M6: 710,590 km (0.11 R)
• M7: 956,529 km (0.117 R)
• M8: 1,052,870 km (0.07 R)
• M9: 1,165,367 km (0.114 R)
• M10: 1,528,292 km (0.054 R)
• M11: 1,987,557 km (0.042 R)
• M12: 2,081,505 km (0.071 R)
• M13: 2,405,235 km (0.114 R)
• M14: 2,573,083 km (0.053 R)
• M15: 2,779,977 km (0.105 R)
• M16: 2,974,454 km (0.098 R)
• M17: 3,155,019 km (0.114 R)
• M18: 3,339,473 km (0.112 R)
• M19: 3,546,517 km (0.068 R)
• M20: 4,092,399 km (0.113 R)
• M21: 4,478,063 km (0.085 R)
• M22: 4,664,761 km (0.105 R)
• M23: 4,960,516 km (0.106 R)
• M24: 5,437,583 km (0.058 R)
• M25: 5,637,147 km (0.119 R)
• M26: 5,726,457 km (0.075 R)
• M27: 5,861,544 km (0.102 R)
• M28: 5,997,678 km (0.037 R)
• M29: 6,435,700 km (0.059 R)
• M30: 6,765,115 km (0.113 R)
• M31: 6,979,788 km (0.111 R)
• M32: 7,342,712 km (0.069 R)
• M33: 8,036,547 km (0.059 R)
• M34: 8,213,372 km (0.091 R)
• M35: 8,881,177 km (0.117 R)
• M36: 8,959,416 km (0.106 R)
• M37: 9,063,985 km (0.065 R)
• M38: 9,274,470 km (0.094 R)
• M39: 9,566,485 km (0.099 R)
• M40: 9,646,669 km (0.099 R)
• M41: 10,214,243 km (0.09 R)
• M42: 10,296,223 km (0.061 R)
• M43: 10,378,352 km (0.119 R)
• M44: 10,987,814 km (0.117 R)
• M45: 11,466,677 km (0.101 R)
• M46: 11,694,365 km (0.086 R)
• M47: 11,894,826 km (0.073 R)
• M48: 12,212,273 km (0.076 R)
• M49: 12,415,726 km (0.063 R)
• M50: 12,620,226 km (0.104 R)
• M51: 12,914,485 km (0.11 R)
• M52: 13,599,643 km (0.099 R)
• M53: 13,720,070 km (0.106 R)
• M54: 14,327,287 km (0.077 R)
• M55: 14,943,331 km (0.114 R)
• M56: 15,285,761 km (0.091 R)
• M57: 15,536,636 km (0.085 R)
• M58: 15,820,274 km (0.09 R)
• M59: 16,328,907 km (0.106 R)
• M60: 16,424,949 km (0.12 R)
• M61: 17,460,166 km (0.104 R)
• M62: 18,084,887 km (0.054 R)
• M63: 19,052,635 km (0.088 R)
• M64: 19,288,701 km (0.117 R)
• M65: 19,661,648 km (0.096 R)
• M66: 20,483,688 km (0.104 R)
• M67: 20,725,588 km (0.098 R)
• M68: 21,632,301 km (0.087 R)
• M69: 21,772,923 km (0.05 R)
• M70: 21,843,383 km (0.081 R)
• M71: 22,055,064 km (0.12 R)
• M72: 23,520,376 km (0.105 R)
• M73: 23,773,794 km (0.095 R)
• M74: 24,027,961 km (0.075 R)
• M75: 24,246,673 km (0.107 R)

Planet 4 - Gas Giant

Semi-Major Axis: 3.79 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 348.2

Radius: 11.2

Gravity: 2.78 G

Time & Orbit

Eccentricity (e): 0.043

Orbit Range: 3.63 AU - 3.95 AU

Year: 4691 Days

Day: 7 Hours

Environment

Temp: -215 °C

Axial Tilt: 43.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (56)

Outer Limit: 48,316,470 km

• M1: 194,776 km (0.105 R)
• M2: 419,323 km (0.06 R)
• M3: 658,679 km (0.095 R)
• M4: 759,060 km (0.076 R)
• M5: 942,766 km (0.108 R)
• M6: 1,117,496 km (0.036 R)
• M7: 1,354,758 km (0.1 R)
• M8: 1,499,719 km (0.116 R)
• M9: 1,622,389 km (0.118 R)
• M10: 1,907,074 km (0.118 R)
• M11: 2,070,584 km (0.084 R)
• M12: 2,177,247 km (0.08 R)
• M13: 2,704,580 km (0.114 R)
• M14: 3,060,772 km (0.111 R)
• M15: 3,253,305 km (0.112 R)
• M16: 3,613,836 km (0.066 R)
• M17: 4,294,955 km (0.07 R)
• M18: 4,650,399 km (0.08 R)
• M19: 4,730,733 km (0.064 R)
• M20: 4,811,516 km (0.039 R)
• M21: 5,432,198 km (0.056 R)
• M22: 5,773,580 km (0.075 R)
• M23: 6,522,318 km (0.079 R)
• M24: 7,395,221 km (0.095 R)
• M25: 7,654,773 km (0.108 R)
• M26: 8,158,619 km (0.119 R)
• M27: 8,402,314 km (0.109 R)
• M28: 9,325,034 km (0.096 R)
• M29: 9,759,765 km (0.099 R)
• M30: 10,279,767 km (0.045 R)
• M31: 10,622,496 km (0.083 R)
• M32: 10,835,374 km (0.046 R)
• M33: 11,319,472 km (0.103 R)
• M34: 11,428,081 km (0.083 R)
• M35: 11,810,752 km (0.09 R)
• M36: 12,114,286 km (0.076 R)
• M37: 12,197,612 km (0.101 R)
• M38: 12,842,229 km (0.051 R)
• M39: 12,927,051 km (0.078 R)
• M40: 13,240,010 km (0.113 R)
• M41: 15,109,983 km (0.09 R)
• M42: 15,892,979 km (0.073 R)
• M43: 16,167,191 km (0.1 R)
• M44: 16,596,687 km (0.09 R)
• M45: 16,720,105 km (0.106 R)
• M46: 18,193,345 km (0.115 R)
• M47: 18,832,726 km (0.053 R)
• M48: 19,058,170 km (0.108 R)
• M49: 19,609,738 km (0.118 R)
• M50: 20,002,133 km (0.091 R)
• M51: 20,100,718 km (0.118 R)
• M52: 21,094,796 km (0.109 R)
• M53: 21,195,026 km (0.07 R)
• M54: 21,396,086 km (0.089 R)
• M55: 21,766,490 km (0.084 R)
• M56: 21,867,768 km (0.1 R)

Planet 5 - Gas Giant

Semi-Major Axis: 4.53 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 410.2

Radius: 8.1

Gravity: 6.25 G

Time & Orbit

Eccentricity (e): 0.122

Orbit Range: 3.98 AU - 5.08 AU

Year: 6130 Days

Day: 8.4 Hours

Environment

Temp: -223 °C

Axial Tilt: 7.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (80)

Outer Limit: 48,316,470 km

• M1: 101,727 km (0.071 R)
• M2: 189,092 km (0.107 R)
• M3: 333,154 km (0.078 R)
• M4: 615,894 km (0.093 R)
• M5: 820,694 km (0.111 R)
• M6: 911,500 km (0.105 R)
• M7: 978,520 km (0.074 R)
• M8: 1,146,368 km (0.06 R)
• M9: 1,263,504 km (0.12 R)
• M10: 1,525,898 km (0.09 R)
• M11: 1,590,225 km (0.098 R)
• M12: 1,704,967 km (0.048 R)
• M13: 2,083,599 km (0.041 R)
• M14: 2,660,598 km (0.057 R)
• M15: 3,389,589 km (0.063 R)
• M16: 3,624,158 km (0.037 R)
• M17: 3,754,458 km (0.078 R)
• M18: 4,086,715 km (0.107 R)
• M19: 4,336,543 km (0.029 R)
• M20: 4,521,446 km (0.103 R)
• M21: 4,661,769 km (0.045 R)
• M22: 5,533,775 km (0.098 R)
• M23: 6,246,309 km (0.109 R)
• M24: 6,455,148 km (0.054 R)
• M25: 6,613,423 km (0.117 R)
• M26: 6,693,009 km (0.104 R)
• M27: 6,799,522 km (0.081 R)
• M28: 7,286,314 km (0.116 R)
• M29: 7,395,969 km (0.033 R)
• M30: 7,506,372 km (0.115 R)
• M31: 8,379,276 km (0.107 R)
• M32: 8,725,745 km (0.117 R)
• M33: 8,871,453 km (0.095 R)
• M34: 9,343,434 km (0.039 R)
• M35: 9,793,275 km (0.074 R)
• M36: 10,250,147 km (0.107 R)
• M37: 10,465,717 km (0.115 R)
• M38: 10,589,734 km (0.094 R)
• M39: 10,870,230 km (0.084 R)
• M40: 11,027,158 km (0.102 R)
• M41: 11,216,400 km (0.049 R)
• M42: 11,470,417 km (0.119 R)
• M43: 11,984,285 km (0.055 R)
• M44: 12,505,634 km (0.107 R)
• M45: 13,234,624 km (0.101 R)
• M46: 13,739,517 km (0.108 R)
• M47: 13,977,228 km (0.105 R)
• M48: 14,802,859 km (0.097 R)
• M49: 14,976,841 km (0.099 R)
• M50: 16,935,077 km (0.115 R)
• M51: 17,189,992 km (0.107 R)
• M52: 17,446,253 km (0.046 R)
• M53: 17,925,565 km (0.113 R)
• M54: 18,334,416 km (0.115 R)
• M55: 18,409,065 km (0.12 R)
• M56: 18,558,813 km (0.045 R)
• M57: 18,746,408 km (0.028 R)
• M58: 18,897,053 km (0.116 R)
• M59: 19,010,149 km (0.111 R)
• M60: 19,275,237 km (0.061 R)
• M61: 20,077,530 km (0.107 R)
• M62: 20,540,835 km (0.114 R)
• M63: 20,890,744 km (0.093 R)
• M64: 21,360,182 km (0.1 R)
• M65: 21,478,215 km (0.117 R)
• M66: 21,556,904 km (0.045 R)
• M67: 22,110,715 km (0.105 R)
• M68: 22,749,498 km (0.056 R)
• M69: 23,030,891 km (0.063 R)
• M70: 23,475,347 km (0.076 R)
• M71: 24,331,645 km (0.096 R)
• M72: 24,908,195 km (0.065 R)
• M73: 25,406,057 km (0.095 R)
• M74: 26,243,057 km (0.055 R)
• M75: 26,495,877 km (0.069 R)
• M76: 27,259,275 km (0.092 R)
• M77: 27,815,031 km (0.118 R)
• M78: 28,331,443 km (0.1 R)
• M79: 28,937,913 km (0.1 R)
• M80: 29,068,512 km (0.095 R)

Planet 6 - Ice Giant

Semi-Major Axis: 6.12 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 992.8

Radius: 7.6

Gravity: 17.19 G

Time & Orbit

Eccentricity (e): 0.229

Orbit Range: 4.72 AU - 7.52 AU

Year: 9626 Days

Day: 21.4 Hours

Environment

Temp: -231 °C

Axial Tilt: 45.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (90)

Outer Limit: 48,316,470 km

• M1: 103,223 km (0.057 R)
• M2: 222,003 km (0.047 R)
• M3: 315,801 km (0.069 R)
• M4: 368,759 km (0.102 R)
• M5: 501,153 km (0.113 R)
• M6: 684,709 km (0.058 R)
• M7: 929,302 km (0.079 R)
• M8: 1,472,641 km (0.086 R)
• M9: 1,839,605 km (0.109 R)
• M10: 1,994,289 km (0.039 R)
• M11: 2,626,191 km (0.081 R)
• M12: 2,742,129 km (0.112 R)
• M13: 3,130,784 km (0.076 R)
• M14: 3,536,643 km (0.063 R)
• M15: 3,632,685 km (0.092 R)
• M16: 3,697,162 km (0.087 R)
• M17: 4,261,146 km (0.064 R)
• M18: 4,466,544 km (0.07 R)
• M19: 4,745,544 km (0.061 R)
• M20: 5,879,496 km (0.106 R)
• M21: 5,955,491 km (0.117 R)
• M22: 7,296,038 km (0.117 R)
• M23: 7,500,837 km (0.095 R)
• M24: 8,211,128 km (0.094 R)
• M25: 9,785,346 km (0.033 R)
• M26: 10,284,554 km (0.085 R)
• M27: 10,376,108 km (0.084 R)
• M28: 10,699,090 km (0.072 R)
• M29: 10,978,539 km (0.106 R)
• M30: 11,166,284 km (0.091 R)
• M31: 11,592,339 km (0.088 R)
• M32: 12,656,279 km (0.098 R)
• M33: 12,853,000 km (0.103 R)
• M34: 12,951,884 km (0.066 R)
• M35: 13,050,918 km (0.079 R)
• M36: 13,150,102 km (0.061 R)
• M37: 13,199,918 km (0.113 R)
• M38: 13,249,734 km (0.111 R)
• M39: 14,412,259 km (0.074 R)
• M40: 14,514,883 km (0.035 R)
• M41: 14,720,879 km (0.085 R)
• M42: 14,927,923 km (0.061 R)
• M43: 15,659,905 km (0.103 R)
• M44: 16,833,650 km (0.11 R)
• M45: 17,980,318 km (0.055 R)
• M46: 18,702,726 km (0.11 R)
• M47: 20,003,928 km (0.083 R)
• M48: 20,061,224 km (0.118 R)
• M49: 20,463,493 km (0.095 R)
• M50: 20,521,088 km (0.043 R)
• M51: 20,694,472 km (0.072 R)
• M52: 20,984,393 km (0.103 R)
• M53: 21,159,123 km (0.05 R)
• M54: 21,509,780 km (0.108 R)
• M55: 22,098,747 km (0.119 R)
• M56: 22,157,838 km (0.039 R)
• M57: 22,335,710 km (0.043 R)
• M58: 22,454,491 km (0.102 R)
• M59: 22,633,260 km (0.089 R)
• M60: 22,692,800 km (0.11 R)
• M61: 24,629,195 km (0.081 R)
• M62: 27,504,167 km (0.073 R)
• M63: 28,464,286 km (0.105 R)
• M64: 29,565,775 km (0.103 R)
• M65: 29,696,225 km (0.105 R)
• M66: 30,879,394 km (0.119 R)
• M67: 31,476,738 km (0.071 R)
• M68: 31,543,309 km (0.027 R)
• M69: 32,548,009 km (0.083 R)
• M70: 35,485,812 km (0.032 R)
• M71: 36,951,123 km (0.072 R)
• M72: 37,232,516 km (0.062 R)
• M73: 37,444,048 km (0.111 R)
• M74: 37,514,658 km (0.049 R)
• M75: 38,151,795 km (0.086 R)
• M76: 38,222,854 km (0.105 R)
• M77: 38,649,956 km (0.088 R)
• M78: 39,221,869 km (0.087 R)
• M79: 42,564,035 km (0.117 R)
• M80: 43,302,749 km (0.076 R)
• M81: 44,343,801 km (0.119 R)
• M82: 44,568,048 km (0.031 R)
• M83: 45,543,725 km (0.051 R)
• M84: 46,602,429 km (0.081 R)
• M85: 46,830,417 km (0.111 R)
• M86: 48,975,501 km (0.091 R)
• M87: 49,439,254 km (0.118 R)
• M88: 50,215,517 km (0.089 R)
• M89: 51,780,012 km (0.072 R)
• M90: 52,805,655 km (0.076 R)

Planet 7 - Ice Giant

Semi-Major Axis: 10.18 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 164.5

Radius: 6.3

Gravity: 4.14 G

Time & Orbit

Eccentricity (e): 0.06

Orbit Range: 9.57 AU - 10.79 AU

Year: 20652 Days

Day: 18.5 Hours

Environment

Temp: -231 °C

Axial Tilt: 10.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (75)

Outer Limit: 48,316,470 km

• M1: 79,885 km (0.085 R)
• M2: 354,547 km (0.095 R)
• M3: 569,818 km (0.029 R)
• M4: 734,825 km (0.117 R)
• M5: 787,334 km (0.097 R)
• M6: 877,691 km (0.071 R)
• M7: 971,788 km (0.07 R)
• M8: 2,339,412 km (0.059 R)
• M9: 3,050,600 km (0.058 R)
• M10: 3,429,681 km (0.058 R)
• M11: 3,519,290 km (0.07 R)
• M12: 3,640,015 km (0.112 R)
• M13: 3,885,655 km (0.069 R)
• M14: 4,457,717 km (0.068 R)
• M15: 4,720,561 km (0.03 R)
• M16: 4,954,532 km (0.051 R)
• M17: 5,785,398 km (0.094 R)
• M18: 5,856,607 km (0.107 R)
• M19: 6,035,975 km (0.1 R)
• M20: 6,845,898 km (0.103 R)
• M21: 7,768,019 km (0.118 R)
• M22: 7,886,052 km (0.116 R)
• M23: 7,965,039 km (0.093 R)
• M24: 8,044,326 km (0.108 R)
• M25: 9,641,732 km (0.067 R)
• M26: 10,497,731 km (0.106 R)
• M27: 11,601,764 km (0.095 R)
• M28: 12,053,699 km (0.092 R)
• M29: 13,255,269 km (0.081 R)
• M30: 13,822,694 km (0.11 R)
• M31: 14,253,386 km (0.096 R)
• M32: 14,785,805 km (0.055 R)
• M33: 15,970,021 km (0.072 R)
• M34: 17,030,820 km (0.107 R)
• M35: 17,750,685 km (0.067 R)
• M36: 18,743,566 km (0.079 R)
• M37: 19,326,549 km (0.074 R)
• M38: 19,646,988 km (0.065 R)
• M39: 19,915,516 km (0.09 R)
• M40: 22,106,227 km (0.051 R)
• M41: 22,665,723 km (0.061 R)
• M42: 22,834,469 km (0.115 R)
• M43: 23,513,793 km (0.098 R)
• M44: 23,741,631 km (0.084 R)
• M45: 23,798,777 km (0.11 R)
• M46: 24,257,145 km (0.104 R)
• M47: 24,776,250 km (0.03 R)
• M48: 24,892,188 km (0.089 R)
• M49: 26,119,489 km (0.102 R)
• M50: 26,592,218 km (0.072 R)
• M51: 27,067,790 km (0.088 R)
• M52: 27,187,169 km (0.111 R)
• M53: 27,967,172 km (0.117 R)
• M54: 29,120,273 km (0.109 R)
• M55: 29,242,494 km (0.069 R)
• M56: 29,426,200 km (0.102 R)
• M57: 30,660,981 km (0.082 R)
• M58: 32,544,568 km (0.079 R)
• M59: 33,180,808 km (0.115 R)
• M60: 33,756,760 km (0.115 R)
• M61: 35,309,137 km (0.09 R)
• M62: 36,752,307 km (0.114 R)
• M63: 37,281,884 km (0.069 R)
• M64: 37,547,570 km (0.1 R)
• M65: 38,014,165 km (0.077 R)
• M66: 38,616,895 km (0.115 R)
• M67: 41,333,443 km (0.077 R)
• M68: 42,229,534 km (0.108 R)
• M69: 42,437,176 km (0.065 R)
• M70: 43,550,633 km (0.083 R)
• M71: 44,040,865 km (0.056 R)
• M72: 44,885,345 km (0.089 R)
• M73: 45,380,514 km (0.061 R)
• M74: 46,233,372 km (0.119 R)
• M75: 46,661,820 km (0.097 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: 427 - 16,676 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit