🌌 Stone's Star System Generator

Planet 1 - Gas Giant

Semi-Major Axis: 1.32 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 875.9

Radius: 10.9

Gravity: 7.37 G

Time & Orbit

Eccentricity (e): 0.153

Orbit Range: 1.12 AU - 1.52 AU

Year: 995 Days

Day: 6.3 Hours

Environment

Temp: -175 °C

Axial Tilt: 93.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (57)

Outer Limit: 81,939,422 km

• M1: 140,622 km (0.098 R)
• M2: 244,443 km (0.04 R)
• M3: 314,156 km (0.095 R)
• M4: 390,002 km (0.106 R)
• M5: 458,667 km (0.109 R)
• M6: 543,639 km (0.052 R)
• M7: 646,861 km (0.064 R)
• M8: 757,414 km (0.081 R)
• M9: 971,189 km (0.082 R)
• M10: 1,085,781 km (0.116 R)
• M11: 1,167,312 km (0.087 R)
• M12: 1,297,612 km (0.076 R)
• M13: 1,376,600 km (0.104 R)
• M14: 1,465,610 km (0.082 R)
• M15: 1,556,566 km (0.052 R)
• M16: 1,657,993 km (0.117 R)
• M17: 1,867,729 km (0.074 R)
• M18: 2,077,166 km (0.059 R)
• M19: 2,236,937 km (0.07 R)
• M20: 2,323,255 km (0.025 R)
• M21: 2,400,896 km (0.114 R)
• M22: 2,568,895 km (0.099 R)
• M23: 2,700,092 km (0.082 R)
• M24: 2,833,533 km (0.069 R)
• M25: 2,916,710 km (0.068 R)
• M26: 3,106,998 km (0.096 R)
• M27: 3,301,475 km (0.095 R)
• M28: 3,378,219 km (0.058 R)
• M29: 3,466,631 km (0.067 R)
• M30: 3,943,699 km (0.096 R)
• M31: 4,072,054 km (0.112 R)
• M32: 4,357,188 km (0.104 R)
• M33: 4,453,678 km (0.118 R)
• M34: 4,526,532 km (0.12 R)
• M35: 4,884,221 km (0.09 R)
• M36: 5,174,590 km (0.115 R)
• M37: 5,276,915 km (0.117 R)
• M38: 5,535,720 km (0.042 R)
• M39: 5,864,985 km (0.108 R)
• M40: 6,065,745 km (0.073 R)
• M41: 6,214,445 km (0.1 R)
• M42: 6,821,065 km (0.103 R)
• M43: 6,961,687 km (0.091 R)
• M44: 7,360,365 km (0.117 R)
• M45: 7,562,472 km (0.078 R)
• M46: 7,635,176 km (0.103 R)
• M47: 7,708,030 km (0.088 R)
• M48: 7,854,487 km (0.091 R)
• M49: 7,987,030 km (0.097 R)
• M50: 8,389,449 km (0.096 R)
• M51: 8,752,672 km (0.102 R)
• M52: 8,951,488 km (0.085 R)
• M53: 9,730,593 km (0.085 R)
• M54: 9,857,153 km (0.117 R)
• M55: 10,304,900 km (0.119 R)
• M56: 10,677,548 km (0.077 R)
• M57: 11,087,745 km (0.113 R)

Planet 2 - Gas Giant

Semi-Major Axis: 1.46 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 519.2

Radius: 11

Gravity: 4.29 G

Time & Orbit

Eccentricity (e): 0.208

Orbit Range: 1.16 AU - 1.76 AU

Year: 1157 Days

Day: 12.4 Hours

Environment

Temp: -186 °C

Axial Tilt: 14.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (59)

Outer Limit: 81,939,422 km

• M1: 137,181 km (0.037 R)
• M2: 306,526 km (0.082 R)
• M3: 390,600 km (0.06 R)
• M4: 567,874 km (0.113 R)
• M5: 714,031 km (0.08 R)
• M6: 835,803 km (0.072 R)
• M7: 998,416 km (0.104 R)
• M8: 1,073,514 km (0.042 R)
• M9: 1,244,505 km (0.106 R)
• M10: 1,356,105 km (0.099 R)
• M11: 1,646,175 km (0.119 R)
• M12: 1,728,005 km (0.029 R)
• M13: 1,811,331 km (0.092 R)
• M14: 1,904,530 km (0.074 R)
• M15: 1,982,022 km (0.083 R)
• M16: 2,087,189 km (0.089 R)
• M17: 2,176,200 km (0.12 R)
• M18: 2,266,557 km (0.043 R)
• M19: 2,395,212 km (0.05 R)
• M20: 2,698,746 km (0.117 R)
• M21: 2,944,535 km (0.12 R)
• M22: 3,034,742 km (0.115 R)
• M23: 3,177,160 km (0.092 R)
• M24: 3,436,861 km (0.06 R)
• M25: 3,671,281 km (0.035 R)
• M26: 3,834,193 km (0.113 R)
• M27: 3,988,279 km (0.107 R)
• M28: 4,201,007 km (0.086 R)
• M29: 4,778,306 km (0.062 R)
• M30: 4,849,215 km (0.096 R)
• M31: 4,980,263 km (0.072 R)
• M32: 5,528,838 km (0.102 R)
• M33: 5,628,321 km (0.107 R)
• M34: 5,892,511 km (0.058 R)
• M35: 6,083,697 km (0.113 R)
• M36: 6,251,097 km (0.089 R)
• M37: 6,354,918 km (0.117 R)
• M38: 6,537,876 km (0.072 R)
• M39: 6,669,671 km (0.103 R)
• M40: 6,762,422 km (0.113 R)
• M41: 7,016,589 km (0.067 R)
• M42: 7,260,134 km (0.047 R)
• M43: 7,686,189 km (0.114 R)
• M44: 7,867,352 km (0.097 R)
• M45: 7,937,364 km (0.111 R)
• M46: 8,078,135 km (0.111 R)
• M47: 8,177,169 km (0.088 R)
• M48: 8,347,711 km (0.068 R)
• M49: 8,476,515 km (0.083 R)
• M50: 8,548,322 km (0.116 R)
• M51: 8,707,194 km (0.082 R)
• M52: 8,925,159 km (0.036 R)
• M53: 9,100,936 km (0.116 R)
• M54: 9,174,538 km (0.092 R)
• M55: 9,441,122 km (0.072 R)
• M56: 9,635,150 km (0.074 R)
• M57: 9,815,565 km (0.103 R)
• M58: 10,118,650 km (0.058 R)
• M59: 10,240,722 km (0.115 R)

Planet 3 - Gas Giant

Semi-Major Axis: 1.96 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 786.4

Radius: 14.7

Gravity: 3.64 G

Time & Orbit

Eccentricity (e): 0.216

Orbit Range: 1.54 AU - 2.38 AU

Year: 1800 Days

Day: 5.6 Hours

Environment

Temp: -190 °C

Axial Tilt: 94.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (65)

Outer Limit: 81,939,422 km

• M1: 194,178 km (0.098 R)
• M2: 286,330 km (0.091 R)
• M3: 457,171 km (0.102 R)
• M4: 554,260 km (0.107 R)
• M5: 728,691 km (0.084 R)
• M6: 873,502 km (0.096 R)
• M7: 1,047,185 km (0.056 R)
• M8: 1,350,719 km (0.073 R)
• M9: 1,451,698 km (0.115 R)
• M10: 1,587,084 km (0.108 R)
• M11: 1,705,117 km (0.119 R)
• M12: 1,837,361 km (0.113 R)
• M13: 1,950,457 km (0.099 R)
• M14: 2,172,011 km (0.094 R)
• M15: 2,291,989 km (0.056 R)
• M16: 2,414,360 km (0.079 R)
• M17: 2,564,257 km (0.101 R)
• M18: 2,782,072 km (0.044 R)
• M19: 2,926,284 km (0.094 R)
• M20: 3,154,271 km (0.041 R)
• M21: 3,388,242 km (0.12 R)
• M22: 3,628,048 km (0.112 R)
• M23: 3,859,027 km (0.082 R)
• M24: 4,035,403 km (0.086 R)
• M25: 4,274,909 km (0.031 R)
• M26: 4,381,123 km (0.091 R)
• M27: 4,488,385 km (0.106 R)
• M28: 4,689,893 km (0.066 R)
• M29: 4,846,821 km (0.074 R)
• M30: 4,973,830 km (0.069 R)
• M31: 5,247,145 km (0.111 R)
• M32: 5,361,288 km (0.119 R)
• M33: 5,476,180 km (0.104 R)
• M34: 5,809,035 km (0.119 R)
• M35: 6,097,160 km (0.083 R)
• M36: 6,251,695 km (0.094 R)
• M37: 6,355,366 km (0.103 R)
• M38: 6,547,151 km (0.102 R)
• M39: 7,115,772 km (0.094 R)
• M40: 7,406,142 km (0.091 R)
• M41: 7,718,951 km (0.063 R)
• M42: 7,811,851 km (0.096 R)
• M43: 8,111,496 km (0.117 R)
• M44: 8,974,526 km (0.116 R)
• M45: 9,131,155 km (0.113 R)
• M46: 9,486,599 km (0.085 R)
• M47: 9,786,394 km (0.118 R)
• M48: 9,927,464 km (0.119 R)
• M49: 10,109,675 km (0.077 R)
• M50: 10,457,041 km (0.038 R)
• M51: 10,849,885 km (0.082 R)
• M52: 11,247,666 km (0.106 R)
• M53: 11,864,009 km (0.042 R)
• M54: 12,143,906 km (0.106 R)
• M55: 12,252,215 km (0.098 R)
• M56: 12,864,370 km (0.091 R)
• M57: 12,996,913 km (0.113 R)
• M58: 13,107,616 km (0.094 R)
• M59: 13,330,068 km (0.105 R)
• M60: 13,464,108 km (0.079 R)
• M61: 13,801,301 km (0.075 R)
• M62: 14,050,382 km (0.119 R)
• M63: 14,737,185 km (0.103 R)
• M64: 14,968,613 km (0.116 R)
• M65: 15,294,587 km (0.114 R)

Planet 4 - Gas Giant

Semi-Major Axis: 2.68 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 385.4

Radius: 14.6

Gravity: 1.81 G

Time & Orbit

Eccentricity (e): 0.174

Orbit Range: 2.21 AU - 3.15 AU

Year: 2878 Days

Day: 14.9 Hours

Environment

Temp: -194 °C

Axial Tilt: 36.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (64)

Outer Limit: 81,939,422 km

• M1: 198,666 km (0.069 R)
• M2: 293,361 km (0.117 R)
• M3: 511,326 km (0.107 R)
• M4: 604,525 km (0.115 R)
• M5: 855,849 km (0.096 R)
• M6: 1,315,115 km (0.057 R)
• M7: 1,452,595 km (0.097 R)
• M8: 1,824,047 km (0.111 R)
• M9: 2,015,383 km (0.101 R)
• M10: 2,226,166 km (0.12 R)
• M11: 2,392,369 km (0.117 R)
• M12: 2,523,118 km (0.078 R)
• M13: 2,683,337 km (0.091 R)
• M14: 2,778,481 km (0.117 R)
• M15: 2,930,173 km (0.089 R)
• M16: 3,070,646 km (0.054 R)
• M17: 3,242,384 km (0.077 R)
• M18: 3,476,206 km (0.04 R)
• M19: 3,806,967 km (0.051 R)
• M20: 4,085,368 km (0.09 R)
• M21: 4,227,187 km (0.117 R)
• M22: 4,531,918 km (0.116 R)
• M23: 4,678,823 km (0.081 R)
• M24: 4,810,768 km (0.062 R)
• M25: 4,994,325 km (0.07 R)
• M26: 5,095,303 km (0.104 R)
• M27: 5,489,195 km (0.095 R)
• M28: 5,593,614 km (0.061 R)
• M29: 5,982,269 km (0.091 R)
• M30: 6,107,782 km (0.116 R)
• M31: 6,234,192 km (0.099 R)
• M32: 6,860,708 km (0.093 R)
• M33: 6,954,506 km (0.057 R)
• M34: 7,896,972 km (0.095 R)
• M35: 8,054,649 km (0.115 R)
• M36: 8,173,728 km (0.109 R)
• M37: 8,353,246 km (0.107 R)
• M38: 8,574,651 km (0.089 R)
• M39: 8,879,531 km (0.106 R)
• M40: 9,022,996 km (0.101 R)
• M41: 9,333,262 km (0.068 R)
• M42: 9,583,988 km (0.077 R)
• M43: 9,794,621 km (0.059 R)
• M44: 10,306,545 km (0.049 R)
• M45: 10,479,032 km (0.107 R)
• M46: 10,761,622 km (0.032 R)
• M47: 11,157,009 km (0.041 R)
• M48: 11,267,712 km (0.081 R)
• M49: 11,691,522 km (0.051 R)
• M50: 11,826,609 km (0.097 R)
• M51: 11,939,406 km (0.087 R)
• M52: 12,280,190 km (0.107 R)
• M53: 13,746,548 km (0.052 R)
• M54: 14,391,764 km (0.088 R)
• M55: 14,827,543 km (0.097 R)
• M56: 14,998,084 km (0.08 R)
• M57: 15,169,374 km (0.12 R)
• M58: 15,267,659 km (0.087 R)
• M59: 15,836,281 km (0.093 R)
• M60: 16,060,678 km (0.118 R)
• M61: 16,260,989 km (0.07 R)
• M62: 16,639,023 km (0.109 R)
• M63: 16,765,583 km (0.092 R)
• M64: 17,147,357 km (0.058 R)

Asteroid Belt

Center: 6.04 AU

Composition

Type: Outer System (Icy)

A dense region of planetesimals and debris.

Boundary

Planet 5 - Ice Giant

Semi-Major Axis: 9.39 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 493.8

Radius: 6.6

Gravity: 11.34 G

Time & Orbit

Eccentricity (e): 0.077

Orbit Range: 8.67 AU - 10.11 AU

Year: 18876 Days

Day: 22.7 Hours

Environment

Temp: -233 °C

Axial Tilt: 41.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (92)

Outer Limit: 81,939,422 km

• M1: 281,543 km (0.065 R)
• M2: 457,321 km (0.118 R)
• M3: 529,876 km (0.087 R)
• M4: 666,608 km (0.029 R)
• M5: 927,806 km (0.067 R)
• M6: 1,621,491 km (0.08 R)
• M7: 1,911,562 km (0.101 R)
• M8: 2,249,354 km (0.091 R)
• M9: 2,441,437 km (0.11 R)
• M10: 2,539,424 km (0.094 R)
• M11: 2,638,906 km (0.079 R)
• M12: 3,929,038 km (0.094 R)
• M13: 4,356,888 km (0.1 R)
• M14: 4,436,325 km (0.098 R)
• M15: 4,516,210 km (0.117 R)
• M16: 4,840,538 km (0.075 R)
• M17: 5,130,609 km (0.104 R)
• M18: 6,847,244 km (0.108 R)
• M19: 7,032,596 km (0.117 R)
• M20: 7,172,769 km (0.11 R)
• M21: 7,694,417 km (0.085 R)
• M22: 8,032,658 km (0.101 R)
• M23: 8,375,835 km (0.04 R)
• M24: 8,773,915 km (0.046 R)
• M25: 9,076,402 km (0.043 R)
• M26: 9,536,715 km (0.046 R)
• M27: 10,586,742 km (0.088 R)
• M28: 11,894,377 km (0.087 R)
• M29: 11,950,028 km (0.12 R)
• M30: 12,794,208 km (0.039 R)
• M31: 12,965,348 km (0.099 R)
• M32: 14,897,405 km (0.11 R)
• M33: 15,017,382 km (0.119 R)
• M34: 15,743,830 km (0.093 R)
• M35: 15,927,236 km (0.103 R)
• M36: 16,049,907 km (0.114 R)
• M37: 16,730,278 km (0.118 R)
• M38: 16,854,893 km (0.114 R)
• M39: 17,042,489 km (0.104 R)
• M40: 17,168,001 km (0.097 R)
• M41: 18,504,060 km (0.115 R)
• M42: 19,413,016 km (0.078 R)
• M43: 20,469,776 km (0.046 R)
• M44: 20,803,828 km (0.092 R)
• M45: 20,937,868 km (0.086 R)
• M46: 21,545,085 km (0.109 R)
• M47: 22,089,472 km (0.099 R)
• M48: 23,470,560 km (0.105 R)
• M49: 24,241,886 km (0.104 R)
• M50: 24,666,146 km (0.11 R)
• M51: 25,164,157 km (0.09 R)
• M52: 26,387,568 km (0.088 R)
• M53: 26,751,091 km (0.116 R)
• M54: 26,823,945 km (0.118 R)
• M55: 27,189,563 km (0.11 R)
• M56: 28,221,638 km (0.115 R)
• M57: 28,370,189 km (0.061 R)
• M58: 29,869,309 km (0.115 R)
• M59: 29,945,006 km (0.1 R)
• M60: 31,470,904 km (0.096 R)
• M61: 33,178,564 km (0.105 R)
• M62: 34,280,950 km (0.109 R)
• M63: 34,598,098 km (0.101 R)
• M64: 35,235,235 km (0.101 R)
• M65: 35,795,928 km (0.106 R)
• M66: 36,440,396 km (0.097 R)
• M67: 37,414,278 km (0.089 R)
• M68: 37,904,510 km (0.117 R)
• M69: 38,891,108 km (0.083 R)
• M70: 39,221,869 km (0.081 R)
• M71: 40,889,586 km (0.098 R)
• M72: 41,985,989 km (0.075 R)
• M73: 42,325,277 km (0.119 R)
• M74: 42,750,733 km (0.068 R)
• M75: 43,777,423 km (0.055 R)
• M76: 45,159,109 km (0.051 R)
• M77: 45,332,792 km (0.055 R)
• M78: 45,942,553 km (0.111 R)
• M79: 46,204,649 km (0.111 R)
• M80: 47,170,153 km (0.086 R)
• M81: 50,106,161 km (0.106 R)
• M82: 51,097,845 km (0.081 R)
• M83: 53,009,108 km (0.049 R)
• M84: 55,407,611 km (0.093 R)
• M85: 55,779,810 km (0.06 R)
• M86: 56,246,107 km (0.095 R)
• M87: 58,407,945 km (0.037 R)
• M88: 60,309,783 km (0.096 R)
• M89: 61,556,831 km (0.083 R)
• M90: 63,200,463 km (0.113 R)
• M91: 64,564,795 km (0.089 R)
• M92: 65,054,429 km (0.085 R)

Planet 6 - Ice Giant

Semi-Major Axis: 10.02 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 790.4

Radius: 3

Gravity: 87.82 G

Time & Orbit

Eccentricity (e): 0.201

Orbit Range: 8.01 AU - 12.03 AU

Year: 20807 Days

Day: 17.6 Hours

Environment

Temp: -225 °C

Axial Tilt: 13 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (96)

Outer Limit: 81,939,422 km

• M1: 66,272 km (0.096 R)
• M2: 644,019 km (0.09 R)
• M3: 793,168 km (0.113 R)
• M4: 819,198 km (0.086 R)
• M5: 871,856 km (0.07 R)
• M6: 1,181,374 km (0.087 R)
• M7: 1,652,757 km (0.084 R)
• M8: 1,821,504 km (0.082 R)
• M9: 2,285,556 km (0.108 R)
• M10: 2,435,453 km (0.108 R)
• M11: 3,231,314 km (0.102 R)
• M12: 3,273,052 km (0.1 R)
• M13: 3,570,452 km (0.051 R)
• M14: 3,787,968 km (0.07 R)
• M15: 4,327,567 km (0.106 R)
• M16: 4,373,643 km (0.117 R)
• M17: 5,626,825 km (0.074 R)
• M18: 5,778,068 km (0.081 R)
• M19: 5,879,645 km (0.102 R)
• M20: 6,033,133 km (0.069 R)
• M21: 6,084,594 km (0.064 R)
• M22: 6,344,147 km (0.065 R)
• M23: 6,820,317 km (0.111 R)
• M24: 6,874,022 km (0.059 R)
• M25: 6,927,728 km (0.032 R)
• M26: 7,473,012 km (0.099 R)
• M27: 7,695,015 km (0.118 R)
• M28: 8,145,305 km (0.098 R)
• M29: 8,373,741 km (0.073 R)
• M30: 8,778,403 km (0.076 R)
• M31: 9,071,465 km (0.032 R)
• M32: 9,667,014 km (0.12 R)
• M33: 10,895,512 km (0.109 R)
• M34: 11,655,768 km (0.106 R)
• M35: 11,719,946 km (0.076 R)
• M36: 12,042,329 km (0.096 R)
• M37: 12,629,950 km (0.084 R)
• M38: 13,427,905 km (0.09 R)
• M39: 13,495,224 km (0.101 R)
• M40: 13,697,630 km (0.081 R)
• M41: 14,173,650 km (0.088 R)
• M42: 14,517,127 km (0.099 R)
• M43: 15,563,564 km (0.05 R)
• M44: 16,346,260 km (0.102 R)
• M45: 16,634,086 km (0.101 R)
• M46: 16,778,598 km (0.084 R)
• M47: 17,287,680 km (0.119 R)
• M48: 17,434,136 km (0.117 R)
• M49: 23,050,788 km (0.079 R)
• M50: 23,373,321 km (0.115 R)
• M51: 23,941,494 km (0.116 R)
• M52: 24,268,215 km (0.099 R)
• M53: 24,432,175 km (0.119 R)
• M54: 25,174,180 km (0.042 R)
• M55: 27,700,888 km (0.1 R)
• M56: 28,129,785 km (0.105 R)
• M57: 28,301,972 km (0.09 R)
• M58: 28,733,861 km (0.111 R)
• M59: 29,167,994 km (0.106 R)
• M60: 29,604,222 km (0.038 R)
• M61: 29,779,401 km (0.113 R)
• M62: 35,468,758 km (0.107 R)
• M63: 35,841,107 km (0.066 R)
• M64: 36,121,154 km (0.11 R)
• M65: 36,871,537 km (0.045 R)
• M66: 36,965,783 km (0.06 R)
• M67: 37,248,673 km (0.071 R)
• M68: 38,674,341 km (0.1 R)
• M69: 42,167,900 km (0.061 R)
• M70: 45,558,685 km (0.086 R)
• M71: 48,312,932 km (0.098 R)
• M72: 48,622,300 km (0.113 R)
• M73: 50,387,704 km (0.076 R)
• M74: 51,435,937 km (0.101 R)
• M75: 52,385,434 km (0.116 R)
• M76: 55,808,084 km (0.074 R)
• M77: 57,655,468 km (0.103 R)
• M78: 58,641,617 km (0.104 R)
• M79: 60,186,814 km (0.09 R)
• M80: 60,964,274 km (0.044 R)
• M81: 61,857,074 km (0.117 R)
• M82: 62,754,063 km (0.094 R)
• M83: 63,429,647 km (0.115 R)
• M84: 63,768,336 km (0.076 R)
• M85: 65,698,897 km (0.057 R)
• M86: 66,843,470 km (0.11 R)
• M87: 67,418,225 km (0.047 R)
• M88: 67,994,626 km (0.119 R)
• M89: 72,192,641 km (0.114 R)
• M90: 72,428,258 km (0.101 R)
• M91: 72,664,174 km (0.109 R)
• M92: 73,847,642 km (0.085 R)
• M93: 77,195,194 km (0.08 R)
• M94: 77,798,073 km (0.062 R)
• M95: 79,859,831 km (0.104 R)
• M96: 80,103,526 km (0.041 R)

Kuiper Belt

Range: 30 - 49 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 367 - 17,055 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit