🌌 Stone's Star System Generator

Asteroid Belt

Center: 0.27 AU

Composition

Type: Inner (Rocky/Metallic)

A dense region of planetesimals and debris.

Boundary

Planet 1 - Gas Giant

Semi-Major Axis: 0.53 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 363.8

Radius: 12.1

Gravity: 2.48 G

Time & Orbit

Eccentricity (e): 0.145

Orbit Range: 0.45 AU - 0.61 AU

Year: 262 Days

Day: 11.1 Hours

Environment

Temp: -146 °C

Axial Tilt: 13.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (27)

Outer Limit: 36,502,760 km

• M1: 153,338 km (0.112 R)
• M2: 230,082 km (0.11 R)
• M3: 327,320 km (0.038 R)
• M4: 412,890 km (0.109 R)
• M5: 556,953 km (0.095 R)
• M6: 632,500 km (0.102 R)
• M7: 715,078 km (0.072 R)
• M8: 892,650 km (0.083 R)
• M9: 1,050,327 km (0.069 R)
• M10: 1,154,447 km (0.092 R)
• M11: 1,275,920 km (0.117 R)
• M12: 1,503,010 km (0.103 R)
• M13: 1,629,121 km (0.043 R)
• M14: 1,712,746 km (0.08 R)
• M15: 1,860,698 km (0.102 R)
• M16: 2,082,702 km (0.114 R)
• M17: 2,165,579 km (0.1 R)
• M18: 2,249,653 km (0.115 R)
• M19: 2,352,127 km (0.07 R)
• M20: 2,513,095 km (0.114 R)
• M21: 2,592,681 km (0.12 R)
• M22: 2,732,106 km (0.052 R)
• M23: 2,841,612 km (0.034 R)
• M24: 2,929,426 km (0.102 R)
• M25: 3,055,836 km (0.057 R)
• M26: 3,184,191 km (0.045 R)
• M27: 3,319,128 km (0.112 R)

Planet 2 - Gas Giant

Semi-Major Axis: 1.15 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 609.9

Radius: 10.6

Gravity: 5.43 G

Time & Orbit

Eccentricity (e): 0.058

Orbit Range: 1.08 AU - 1.22 AU

Year: 836 Days

Day: 5.7 Hours

Environment

Temp: -177 °C

Axial Tilt: 35.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (56)

Outer Limit: 36,502,760 km

• M1: 156,330 km (0.063 R)
• M2: 234,869 km (0.046 R)
• M3: 328,367 km (0.113 R)
• M4: 402,418 km (0.077 R)
• M5: 470,635 km (0.106 R)
• M6: 548,426 km (0.039 R)
• M7: 646,712 km (0.051 R)
• M8: 795,262 km (0.095 R)
• M9: 908,807 km (0.115 R)
• M10: 1,016,069 km (0.094 R)
• M11: 1,257,071 km (0.094 R)
• M12: 1,350,719 km (0.03 R)
• M13: 1,474,586 km (0.09 R)
• M14: 1,566,439 km (0.053 R)
• M15: 1,682,378 km (0.107 R)
• M16: 1,923,081 km (0.119 R)
• M17: 2,079,261 km (0.064 R)
• M18: 2,255,936 km (0.091 R)
• M19: 2,337,916 km (0.114 R)
• M20: 2,624,395 km (0.118 R)
• M21: 2,736,893 km (0.116 R)
• M22: 2,975,950 km (0.111 R)
• M23: 3,130,036 km (0.115 R)
• M24: 3,277,390 km (0.073 R)
• M25: 3,521,983 km (0.109 R)
• M26: 3,685,194 km (0.103 R)
• M27: 3,782,283 km (0.111 R)
• M28: 3,890,143 km (0.113 R)
• M29: 3,959,407 km (0.076 R)
• M30: 4,099,131 km (0.086 R)
• M31: 4,270,870 km (0.077 R)
• M32: 4,403,862 km (0.111 R)
• M33: 4,496,762 km (0.116 R)
• M34: 4,811,217 km (0.11 R)
• M35: 5,219,919 km (0.086 R)
• M36: 5,362,336 km (0.118 R)
• M37: 5,483,809 km (0.114 R)
• M38: 5,628,620 km (0.115 R)
• M39: 6,001,867 km (0.035 R)
• M40: 6,174,203 km (0.091 R)
• M41: 6,324,998 km (0.075 R)
• M42: 6,430,016 km (0.103 R)
• M43: 6,559,268 km (0.099 R)
• M44: 6,665,632 km (0.101 R)
• M45: 6,796,381 km (0.092 R)
• M46: 6,880,156 km (0.117 R)
• M47: 6,964,080 km (0.085 R)
• M48: 7,133,275 km (0.071 R)
• M49: 7,315,934 km (0.106 R)
• M50: 7,648,640 km (0.109 R)
• M51: 7,961,299 km (0.082 R)
• M52: 8,049,562 km (0.075 R)
• M53: 8,252,567 km (0.095 R)
• M54: 8,560,289 km (0.105 R)
• M55: 8,689,542 km (0.114 R)
• M56: 8,793,512 km (0.062 R)

Asteroid Belt

Center: 1.63 AU

Composition

Type: Outer System (Icy)

A dense region of planetesimals and debris.

Boundary

Planet 3 - Gas Giant

Semi-Major Axis: 2.11 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 378.3

Radius: 8.2

Gravity: 5.63 G

Time & Orbit

Eccentricity (e): 0.057

Orbit Range: 1.99 AU - 2.23 AU

Year: 2079 Days

Day: 8.5 Hours

Environment

Temp: -200 °C

Axial Tilt: 13.1 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (62)

Outer Limit: 36,502,760 km

• M1: 102,475 km (0.12 R)
• M2: 173,085 km (0.109 R)
• M3: 283,488 km (0.096 R)
• M4: 339,587 km (0.057 R)
• M5: 400,324 km (0.088 R)
• M6: 453,431 km (0.066 R)
• M7: 692,937 km (0.032 R)
• M8: 744,100 km (0.098 R)
• M9: 834,906 km (0.045 R)
• M10: 978,669 km (0.077 R)
• M11: 1,183,170 km (0.112 R)
• M12: 1,236,426 km (0.112 R)
• M13: 1,299,706 km (0.102 R)
• M14: 1,496,278 km (0.118 R)
• M15: 1,583,493 km (0.078 R)
• M16: 1,939,088 km (0.12 R)
• M17: 2,002,517 km (0.119 R)
• M18: 2,274,486 km (0.118 R)
• M19: 2,409,423 km (0.084 R)
• M20: 2,604,948 km (0.115 R)
• M21: 2,710,564 km (0.099 R)
• M22: 2,817,676 km (0.092 R)
• M23: 2,950,519 km (0.098 R)
• M24: 3,463,939 km (0.107 R)
• M25: 3,764,182 km (0.028 R)
• M26: 3,924,102 km (0.086 R)
• M27: 4,086,415 km (0.056 R)
• M28: 4,347,913 km (0.115 R)
• M29: 4,431,538 km (0.115 R)
• M30: 4,515,761 km (0.088 R)
• M31: 4,700,215 km (0.118 R)
• M32: 5,047,133 km (0.119 R)
• M33: 5,357,549 km (0.091 R)
• M34: 5,796,469 km (0.117 R)
• M35: 6,105,837 km (0.102 R)
• M36: 6,168,369 km (0.084 R)
• M37: 6,294,181 km (0.064 R)
• M38: 6,564,205 km (0.064 R)
• M39: 6,628,233 km (0.093 R)
• M40: 6,886,738 km (0.087 R)
• M41: 7,132,078 km (0.118 R)
• M42: 7,214,507 km (0.09 R)
• M43: 7,480,342 km (0.053 R)
• M44: 7,851,195 km (0.073 R)
• M45: 8,055,995 km (0.099 R)
• M46: 8,331,853 km (0.104 R)
• M47: 8,910,498 km (0.079 R)
• M48: 9,160,027 km (0.093 R)
• M49: 9,321,593 km (0.075 R)
• M50: 10,180,733 km (0.09 R)
• M51: 10,404,083 km (0.03 R)
• M52: 10,516,431 km (0.083 R)
• M53: 10,572,830 km (0.093 R)
• M54: 10,893,717 km (0.05 R)
• M55: 11,026,859 km (0.053 R)
• M56: 11,506,769 km (0.071 R)
• M57: 11,778,439 km (0.097 R)
• M58: 11,993,411 km (0.12 R)
• M59: 12,407,348 km (0.063 R)
• M60: 12,626,060 km (0.096 R)
• M61: 13,006,936 km (0.088 R)
• M62: 13,738,769 km (0.034 R)

Planet 4 - Gas Giant

Semi-Major Axis: 2.19 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 628.5

Radius: 14.5

Gravity: 2.99 G

Time & Orbit

Eccentricity (e): 0.053

Orbit Range: 2.07 AU - 2.31 AU

Year: 2198 Days

Day: 13.3 Hours

Environment

Temp: -209 °C

Axial Tilt: 16.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (63)

Outer Limit: 36,502,760 km

• M1: 180,864 km (0.029 R)
• M2: 402,717 km (0.091 R)
• M3: 545,883 km (0.098 R)
• M4: 735,124 km (0.074 R)
• M5: 834,906 km (0.111 R)
• M6: 967,001 km (0.06 R)
• M7: 1,244,505 km (0.094 R)
• M8: 1,409,062 km (0.115 R)
• M9: 1,670,260 km (0.086 R)
• M10: 1,807,142 km (0.073 R)
• M11: 2,104,543 km (0.103 R)
• M12: 2,215,694 km (0.103 R)
• M13: 2,405,534 km (0.108 R)
• M14: 2,495,891 km (0.088 R)
• M15: 2,627,238 km (0.089 R)
• M16: 2,720,587 km (0.084 R)
• M17: 2,869,586 km (0.059 R)
• M18: 3,049,253 km (0.087 R)
• M19: 3,147,689 km (0.114 R)
• M20: 3,333,190 km (0.03 R)
• M21: 3,463,939 km (0.092 R)
• M22: 3,596,333 km (0.035 R)
• M23: 3,835,989 km (0.096 R)
• M24: 4,174,229 km (0.119 R)
• M25: 4,331,307 km (0.102 R)
• M26: 4,426,451 km (0.105 R)
• M27: 4,716,222 km (0.103 R)
• M28: 4,880,032 km (0.107 R)
• M29: 5,012,426 km (0.072 R)
• M30: 5,331,668 km (0.092 R)
• M31: 5,451,047 km (0.103 R)
• M32: 5,605,731 km (0.108 R)
• M33: 5,744,558 km (0.072 R)
• M34: 6,185,872 km (0.11 R)
• M35: 6,365,389 km (0.114 R)
• M36: 6,473,997 km (0.108 R)
• M37: 7,479,445 km (0.056 R)
• M38: 8,137,526 km (0.059 R)
• M39: 8,374,190 km (0.087 R)
• M40: 8,573,304 km (0.079 R)
• M41: 8,874,744 km (0.078 R)
• M42: 8,976,022 km (0.116 R)
• M43: 9,077,748 km (0.081 R)
• M44: 9,220,764 km (0.095 R)
• M45: 9,488,395 km (0.059 R)
• M46: 9,591,916 km (0.072 R)
• M47: 9,696,036 km (0.028 R)
• M48: 10,562,956 km (0.092 R)
• M49: 10,994,995 km (0.064 R)
• M50: 11,256,941 km (0.083 R)
• M51: 11,675,964 km (0.112 R)
• M52: 12,552,309 km (0.071 R)
• M53: 13,056,005 km (0.063 R)
• M54: 13,356,696 km (0.083 R)
• M55: 13,566,283 km (0.104 R)
• M56: 14,106,930 km (0.078 R)
• M57: 14,822,606 km (0.093 R)
• M58: 15,428,028 km (0.105 R)
• M59: 15,525,716 km (0.111 R)
• M60: 15,819,825 km (0.041 R)
• M61: 16,140,713 km (0.074 R)
• M62: 16,413,729 km (0.119 R)
• M63: 16,588,309 km (0.109 R)

Planet 5 - Gas Giant

Semi-Major Axis: 2.56 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 29.8

Radius: 8.5

Gravity: 0.41 G

Time & Orbit

Eccentricity (e): 0.248

Orbit Range: 1.93 AU - 3.19 AU

Year: 2778 Days

Day: 9.2 Hours

Environment

Temp: -201 °C

Axial Tilt: 17.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (41)

Outer Limit: 36,502,760 km

• M1: 106,813 km (0.11 R)
• M2: 325,974 km (0.098 R)
• M3: 429,495 km (0.11 R)
• M4: 516,561 km (0.055 R)
• M5: 584,030 km (0.116 R)
• M6: 926,759 km (0.092 R)
• M7: 1,064,987 km (0.06 R)
• M8: 1,244,505 km (0.053 R)
• M9: 1,373,907 km (0.061 R)
• M10: 1,440,179 km (0.079 R)
• M11: 1,507,647 km (0.099 R)
• M12: 1,652,308 km (0.114 R)
• M13: 2,037,523 km (0.103 R)
• M14: 2,134,612 km (0.09 R)
• M15: 2,212,104 km (0.103 R)
• M16: 2,283,312 km (0.062 R)
• M17: 2,406,282 km (0.051 R)
• M18: 2,531,346 km (0.085 R)
• M19: 2,651,173 km (0.089 R)
• M20: 2,880,806 km (0.026 R)
• M21: 3,069,300 km (0.088 R)
• M22: 3,133,028 km (0.098 R)
• M23: 3,343,213 km (0.085 R)
• M24: 3,433,570 km (0.101 R)
• M25: 3,777,496 km (0.027 R)
• M26: 4,185,449 km (0.107 R)
• M27: 4,399,225 km (0.092 R)
• M28: 4,552,862 km (0.106 R)
• M29: 4,818,996 km (0.118 R)
• M30: 5,156,489 km (0.087 R)
• M31: 5,232,485 km (0.114 R)
• M32: 5,308,929 km (0.065 R)
• M33: 5,376,099 km (0.107 R)
• M34: 5,775,226 km (0.119 R)
• M35: 5,983,466 km (0.111 R)
• M36: 6,063,351 km (0.039 R)
• M37: 6,153,858 km (0.118 R)
• M38: 6,275,032 km (0.111 R)
• M39: 6,346,091 km (0.053 R)
• M40: 6,622,847 km (0.091 R)
• M41: 6,987,417 km (0.08 R)

Planet 6 - Gas Giant

Semi-Major Axis: 2.85 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 743.8

Radius: 10.9

Gravity: 6.26 G

Time & Orbit

Eccentricity (e): 0.087

Orbit Range: 2.6 AU - 3.1 AU

Year: 3263 Days

Day: 6.4 Hours

Environment

Temp: -219 °C

Axial Tilt: 3.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (75)

Outer Limit: 36,502,760 km

• M1: 139,425 km (0.104 R)
• M2: 274,662 km (0.092 R)
• M3: 443,258 km (0.117 R)
• M4: 520,301 km (0.093 R)
• M5: 741,557 km (0.032 R)
• M6: 948,151 km (0.092 R)
• M7: 1,052,870 km (0.114 R)
• M8: 1,198,728 km (0.073 R)
• M9: 1,338,751 km (0.112 R)
• M10: 1,484,310 km (0.095 R)
• M11: 1,777,223 km (0.086 R)
• M12: 2,433,957 km (0.07 R)
• M13: 2,596,869 km (0.101 R)
• M14: 2,713,107 km (0.117 R)
• M15: 2,848,194 km (0.117 R)
• M16: 3,037,585 km (0.104 R)
• M17: 3,501,937 km (0.119 R)
• M18: 3,612,340 km (0.113 R)
• M19: 4,046,174 km (0.098 R)
• M20: 4,677,477 km (0.071 R)
• M21: 4,840,239 km (0.055 R)
• M22: 5,025,441 km (0.102 R)
• M23: 5,297,261 km (0.091 R)
• M24: 5,445,662 km (0.04 R)
• M25: 6,097,310 km (0.105 R)
• M26: 6,364,791 km (0.106 R)
• M27: 6,477,438 km (0.063 R)
• M28: 6,773,492 km (0.118 R)
• M29: 7,120,559 km (0.097 R)
• M30: 7,261,032 km (0.111 R)
• M31: 7,355,279 km (0.062 R)
• M32: 7,712,069 km (0.104 R)
• M33: 7,808,111 km (0.048 R)
• M34: 8,001,541 km (0.053 R)
• M35: 8,891,499 km (0.076 R)
• M36: 8,967,196 km (0.119 R)
• M37: 9,425,264 km (0.116 R)
• M38: 9,528,038 km (0.12 R)
• M39: 9,864,783 km (0.084 R)
• M40: 10,179,238 km (0.072 R)
• M41: 10,364,140 km (0.085 R)
• M42: 10,470,355 km (0.097 R)
• M43: 10,979,736 km (0.085 R)
• M44: 11,060,818 km (0.119 R)
• M45: 11,142,199 km (0.093 R)
• M46: 11,497,045 km (0.076 R)
• M47: 11,662,201 km (0.058 R)
• M48: 12,358,430 km (0.042 R)
• M49: 12,471,077 km (0.116 R)
• M50: 12,584,023 km (0.091 R)
• M51: 13,413,394 km (0.064 R)
• M52: 13,529,183 km (0.112 R)
• M53: 13,937,136 km (0.055 R)
• M54: 14,260,417 km (0.098 R)
• M55: 14,914,609 km (0.048 R)
• M56: 15,305,807 km (0.106 R)
• M57: 15,517,787 km (0.037 R)
• M58: 15,822,368 km (0.066 R)
• M59: 16,098,227 km (0.1 R)
• M60: 16,810,313 km (0.101 R)
• M61: 17,029,174 km (0.091 R)
• M62: 17,343,330 km (0.104 R)
• M63: 17,564,436 km (0.082 R)
• M64: 18,073,218 km (0.053 R)
• M65: 18,522,460 km (0.104 R)
• M66: 18,845,592 km (0.037 R)
• M67: 19,138,056 km (0.059 R)
• M68: 19,826,206 km (0.112 R)
• M69: 20,455,863 km (0.094 R)
• M70: 20,823,425 km (0.082 R)
• M71: 21,092,103 km (0.083 R)
• M72: 21,802,842 km (0.103 R)
• M73: 22,315,365 km (0.057 R)
• M74: 22,831,777 km (0.082 R)
• M75: 23,143,539 km (0.11 R)

Planet 7 - Ice Giant

Semi-Major Axis: 6.12 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 286.9

Radius: 4.5

Gravity: 14.17 G

Time & Orbit

Eccentricity (e): 0.065

Orbit Range: 5.72 AU - 6.52 AU

Year: 10269 Days

Day: 17.4 Hours

Environment

Temp: -228 °C

Axial Tilt: 37.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (95)

Outer Limit: 36,502,760 km

• M1: 57,146 km (0.103 R)
• M2: 143,913 km (0.057 R)
• M3: 174,880 km (0.085 R)
• M4: 336,745 km (0.086 R)
• M5: 392,395 km (0.047 R)
• M6: 539,001 km (0.081 R)
• M7: 605,123 km (0.112 R)
• M8: 660,026 km (0.092 R)
• M9: 702,212 km (0.116 R)
• M10: 1,007,392 km (0.054 R)
• M11: 1,495,979 km (0.079 R)
• M12: 1,784,104 km (0.101 R)
• M13: 1,924,427 km (0.117 R)
• M14: 2,026,902 km (0.031 R)
• M15: 2,110,078 km (0.12 R)
• M16: 2,237,236 km (0.08 R)
• M17: 2,323,255 km (0.101 R)
• M18: 2,565,603 km (0.039 R)
• M19: 2,885,893 km (0.042 R)
• M20: 3,267,068 km (0.054 R)
• M21: 3,315,837 km (0.096 R)
• M22: 3,389,439 km (0.088 R)
• M23: 3,488,473 km (0.112 R)
• M24: 3,971,823 km (0.053 R)
• M25: 4,475,819 km (0.078 R)
• M26: 4,530,123 km (0.084 R)
• M27: 4,611,803 km (0.116 R)
• M28: 4,749,134 km (0.047 R)
• M29: 4,832,161 km (0.037 R)
• M30: 5,925,422 km (0.094 R)
• M31: 6,014,882 km (0.091 R)
• M32: 6,468,911 km (0.045 R)
• M33: 6,530,246 km (0.117 R)
• M34: 7,667,489 km (0.108 R)
• M35: 8,192,279 km (0.081 R)
• M36: 8,660,969 km (0.118 R)
• M37: 8,694,778 km (0.119 R)
• M38: 9,310,971 km (0.113 R)
• M39: 9,694,391 km (0.049 R)
• M40: 9,835,013 km (0.088 R)
• M41: 10,584,797 km (0.112 R)
• M42: 10,693,405 km (0.027 R)
• M43: 11,058,125 km (0.084 R)
• M44: 11,874,780 km (0.076 R)
• M45: 12,062,974 km (0.108 R)
• M46: 12,214,367 km (0.077 R)
• M47: 12,366,358 km (0.111 R)
• M48: 12,749,030 km (0.07 R)
• M49: 13,096,845 km (0.114 R)
• M50: 13,174,486 km (0.096 R)
• M51: 13,683,268 km (0.112 R)
• M52: 13,959,875 km (0.111 R)
• M53: 14,039,311 km (0.091 R)
• M54: 14,118,748 km (0.111 R)
• M55: 14,599,107 km (0.099 R)
• M56: 14,841,306 km (0.091 R)
• M57: 15,003,470 km (0.056 R)
• M58: 16,321,876 km (0.097 R)
• M59: 18,237,626 km (0.117 R)
• M60: 18,367,926 km (0.113 R)
• M61: 18,935,799 km (0.109 R)
• M62: 19,111,726 km (0.107 R)
• M63: 19,155,858 km (0.111 R)
• M64: 19,509,507 km (0.106 R)
• M65: 20,133,629 km (0.111 R)
• M66: 21,538,802 km (0.116 R)
• M67: 22,137,493 km (0.073 R)
• M68: 23,634,220 km (0.093 R)
• M69: 24,299,332 km (0.064 R)
• M70: 25,018,598 km (0.096 R)
• M71: 25,115,089 km (0.071 R)
• M72: 25,163,409 km (0.053 R)
• M73: 25,647,657 km (0.094 R)
• M74: 25,891,053 km (0.104 R)
• M75: 26,527,293 km (0.037 R)
• M76: 26,724,164 km (0.032 R)
• M77: 27,665,583 km (0.107 R)
• M78: 28,015,193 km (0.071 R)
• M79: 28,165,539 km (0.057 R)
• M80: 28,920,859 km (0.11 R)
• M81: 29,377,282 km (0.047 R)
• M82: 31,330,581 km (0.068 R)
• M83: 31,538,522 km (0.079 R)
• M84: 31,747,062 km (0.102 R)
• M85: 32,270,205 km (0.101 R)
• M86: 34,284,391 km (0.108 R)
• M87: 34,445,209 km (0.089 R)
• M88: 34,606,176 km (0.082 R)
• M89: 35,198,584 km (0.068 R)
• M90: 35,306,593 km (0.09 R)
• M91: 35,468,907 km (0.111 R)
• M92: 35,523,211 km (0.059 R)
• M93: 35,631,520 km (0.106 R)
• M94: 36,066,251 km (0.065 R)
• M95: 36,229,762 km (0.076 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: 162 - 17,722 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit