G6V Star System Generated (Seed: 1768210095)

Star Details

Spectral Class: G4V

Temperature: 5,680 K

Mass: 1.02 sol

Luminosity: 1.07 lux

Habitable Zone (HZ)

Inner Boundary: 0.99 AU

Outer Boundary: 1.42 AU

Physical Limits

Snow Line: 4.97 AU

Max System Radius: 20.2 AU

Planetary System (7 Planets)

Planet 1 - Terrestrial

Semi-Major Axis: 1.24 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.46

Radius: 1.82

Gravity: 1.35 G

Time & Orbit

Eccentricity (e): 0.182

Orbit Range: 1.01 AU - 1.47 AU

Year: 499 Days

Day: 34.9 Hours

Environment

Temp: 11 °C

Axial Tilt: 35.3 °

Atmosphere: Nâ‚‚, Oâ‚‚

Biome: Arid/Tundra

Satellites (1)

Outer Limit: 42,098,907 km

  • M1: 893,099 km (0.101 R)

Planet 2 - Terrestrial

Semi-Major Axis: 4.79 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.89

Radius: 1.53

Gravity: 1.23 G

Time & Orbit

Eccentricity (e): 0.099

Orbit Range: 4.32 AU - 5.26 AU

Year: 3791 Days

Day: 47.8 Hours

Environment

Temp: -133 °C

Axial Tilt: 28.9 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Planet 3 - Gas Giant

Semi-Major Axis: 4.99 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 723.1

Radius: 9.9

Gravity: 7.38 G

Time & Orbit

Eccentricity (e): 0.004

Orbit Range: 4.97 AU - 5.01 AU

Year: 4031 Days

Day: 10.5 Hours

Environment

Temp: -142 °C

Axial Tilt: 171 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (85)

Outer Limit: 42,098,907 km

  • M1: 124,017 km (0.087 R)
  • M2: 198,068 km (0.037 R)
  • M3: 267,780 km (0.087 R)
  • M4: 393,293 km (0.114 R)
  • M5: 532,419 km (0.114 R)
  • M6: 635,342 km (0.104 R)
  • M7: 803,341 km (0.101 R)
  • M8: 974,032 km (0.114 R)
  • M9: 1,064,090 km (0.078 R)
  • M10: 1,211,444 km (0.101 R)
  • M11: 1,294,770 km (0.118 R)
  • M12: 1,408,913 km (0.06 R)
  • M13: 1,617,303 km (0.099 R)
  • M14: 1,740,870 km (0.059 R)
  • M15: 1,883,736 km (0.065 R)
  • M16: 1,997,730 km (0.046 R)
  • M17: 2,113,968 km (0.046 R)
  • M18: 2,181,436 km (0.118 R)
  • M19: 2,353,474 km (0.091 R)
  • M20: 2,423,486 km (0.119 R)
  • M21: 2,565,753 km (0.061 R)
  • M22: 2,765,915 km (0.103 R)
  • M23: 2,914,915 km (0.106 R)
  • M24: 3,357,724 km (0.071 R)
  • M25: 3,436,861 km (0.065 R)
  • M26: 4,050,961 km (0.103 R)
  • M27: 4,414,035 km (0.068 R)
  • M28: 4,479,259 km (0.115 R)
  • M29: 4,676,729 km (0.117 R)
  • M30: 5,148,710 km (0.049 R)
  • M31: 5,659,587 km (0.092 R)
  • M32: 6,113,766 km (0.058 R)
  • M33: 6,555,079 km (0.113 R)
  • M34: 6,981,284 km (0.104 R)
  • M35: 7,236,199 km (0.099 R)
  • M36: 7,676,615 km (0.034 R)
  • M37: 7,860,620 km (0.085 R)
  • M38: 8,747,137 km (0.106 R)
  • M39: 8,939,221 km (0.07 R)
  • M40: 9,383,676 km (0.089 R)
  • M41: 9,892,458 km (0.103 R)
  • M42: 10,006,602 km (0.097 R)
  • M43: 10,439,089 km (0.106 R)
  • M44: 11,025,064 km (0.069 R)
  • M45: 11,113,925 km (0.116 R)
  • M46: 11,351,935 km (0.12 R)
  • M47: 11,652,029 km (0.108 R)
  • M48: 11,802,973 km (0.093 R)
  • M49: 12,198,510 km (0.087 R)
  • M50: 12,382,515 km (0.053 R)
  • M51: 12,940,216 km (0.12 R)
  • M52: 13,316,604 km (0.076 R)
  • M53: 13,411,150 km (0.083 R)
  • M54: 13,601,139 km (0.115 R)
  • M55: 14,047,988 km (0.11 R)
  • M56: 14,176,493 km (0.102 R)
  • M57: 14,240,820 km (0.115 R)
  • M58: 14,467,161 km (0.116 R)
  • M59: 14,629,475 km (0.108 R)
  • M60: 14,727,162 km (0.078 R)
  • M61: 15,450,169 km (0.033 R)
  • M62: 15,549,651 km (0.104 R)
  • M63: 16,083,865 km (0.082 R)
  • M64: 16,218,354 km (0.072 R)
  • M65: 17,135,987 km (0.039 R)
  • M66: 17,896,094 km (0.103 R)
  • M67: 19,808,254 km (0.047 R)
  • M68: 20,169,383 km (0.112 R)
  • M69: 20,532,757 km (0.064 R)
  • M70: 20,861,722 km (0.106 R)
  • M71: 22,007,941 km (0.07 R)
  • M72: 22,157,240 km (0.073 R)
  • M73: 22,344,536 km (0.098 R)
  • M74: 22,419,485 km (0.118 R)
  • M75: 22,795,873 km (0.118 R)
  • M76: 23,098,510 km (0.085 R)
  • M77: 23,174,356 km (0.119 R)
  • M78: 23,288,349 km (0.066 R)
  • M79: 24,245,327 km (0.074 R)
  • M80: 24,360,966 km (0.113 R)
  • M81: 25,058,990 km (0.094 R)
  • M82: 25,293,110 km (0.065 R)
  • M83: 25,488,784 km (0.08 R)
  • M84: 25,567,174 km (0.055 R)
  • M85: 26,355,704 km (0.116 R)

Planet 4 - Gas Giant

Semi-Major Axis: 5.06 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 548.4

Radius: 12.2

Gravity: 3.68 G

Time & Orbit

Eccentricity (e): 0.219

Orbit Range: 3.95 AU - 6.17 AU

Year: 4116 Days

Day: 7.1 Hours

Environment

Temp: -145 °C

Axial Tilt: 47.6 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (74)

Outer Limit: 42,098,907 km

  • M1: 166,054 km (0.109 R)
  • M2: 272,567 km (0.116 R)
  • M3: 362,476 km (0.116 R)
  • M4: 502,499 km (0.07 R)
  • M5: 604,974 km (0.078 R)
  • M6: 790,774 km (0.055 R)
  • M7: 1,008,439 km (0.116 R)
  • M8: 1,169,257 km (0.047 R)
  • M9: 1,792,332 km (0.109 R)
  • M10: 1,928,317 km (0.114 R)
  • M11: 2,067,891 km (0.091 R)
  • M12: 2,194,900 km (0.07 R)
  • M13: 3,047,608 km (0.073 R)
  • M14: 3,248,219 km (0.118 R)
  • M15: 3,453,168 km (0.071 R)
  • M16: 3,797,841 km (0.105 R)
  • M17: 3,994,114 km (0.088 R)
  • M18: 4,073,550 km (0.078 R)
  • M19: 4,561,837 km (0.034 R)
  • M20: 5,176,685 km (0.072 R)
  • M21: 5,285,293 km (0.113 R)
  • M22: 5,772,683 km (0.058 R)
  • M23: 5,999,024 km (0.086 R)
  • M24: 6,228,358 km (0.118 R)
  • M25: 6,437,196 km (0.096 R)
  • M26: 6,695,552 km (0.053 R)
  • M27: 6,909,626 km (0.109 R)
  • M28: 7,344,507 km (0.051 R)
  • M29: 7,589,998 km (0.098 R)
  • M30: 7,788,364 km (0.11 R)
  • M31: 7,888,146 km (0.091 R)
  • M32: 7,988,377 km (0.065 R)
  • M33: 8,190,184 km (0.099 R)
  • M34: 8,291,761 km (0.115 R)
  • M35: 8,831,660 km (0.114 R)
  • M36: 8,988,139 km (0.068 R)
  • M37: 9,356,599 km (0.08 R)
  • M38: 9,622,883 km (0.082 R)
  • M39: 9,783,850 km (0.12 R)
  • M40: 10,081,401 km (0.115 R)
  • M41: 10,244,911 km (0.112 R)
  • M42: 10,685,327 km (0.074 R)
  • M43: 10,768,504 km (0.118 R)
  • M44: 11,329,196 km (0.105 R)
  • M45: 11,641,706 km (0.06 R)
  • M46: 12,508,327 km (0.09 R)
  • M47: 13,097,593 km (0.065 R)
  • M48: 13,425,511 km (0.038 R)
  • M49: 13,635,696 km (0.077 R)
  • M50: 13,756,272 km (0.105 R)
  • M51: 14,089,576 km (0.032 R)
  • M52: 14,211,499 km (0.042 R)
  • M53: 14,950,362 km (0.114 R)
  • M54: 15,575,532 km (0.084 R)
  • M55: 15,733,208 km (0.111 R)
  • M56: 15,891,483 km (0.075 R)
  • M57: 16,337,135 km (0.034 R)
  • M58: 16,754,812 km (0.119 R)
  • M59: 16,948,691 km (0.111 R)
  • M60: 17,469,591 km (0.096 R)
  • M61: 17,995,577 km (0.115 R)
  • M62: 18,227,453 km (0.091 R)
  • M63: 19,130,875 km (0.048 R)
  • M64: 19,469,116 km (0.102 R)
  • M65: 21,050,814 km (0.107 R)
  • M66: 21,505,143 km (0.118 R)
  • M67: 21,821,692 km (0.063 R)
  • M68: 22,033,672 km (0.097 R)
  • M69: 22,780,614 km (0.042 R)
  • M70: 23,139,200 km (0.064 R)
  • M71: 23,644,392 km (0.101 R)
  • M72: 23,789,353 km (0.091 R)
  • M73: 24,299,332 km (0.05 R)
  • M74: 24,482,290 km (0.082 R)

Asteroid Belt

Center: 5.64 AU

Composition

Type: Main (Rocky/Icy Mix)

A dense region of planetesimals and debris.

Boundary

Planet 5 - Gas Giant

Semi-Major Axis: 6.21 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 766.9

Radius: 10.6

Gravity: 6.83 G

Time & Orbit

Eccentricity (e): 0.169

Orbit Range: 5.16 AU - 7.26 AU

Year: 5597 Days

Day: 12 Hours

Environment

Temp: -159 °C

Axial Tilt: 6.6 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (81)

Outer Limit: 42,098,907 km

  • M1: 134,788 km (0.114 R)
  • M2: 220,058 km (0.097 R)
  • M3: 306,825 km (0.098 R)
  • M4: 566,078 km (0.111 R)
  • M5: 755,320 km (0.092 R)
  • M6: 966,253 km (0.113 R)
  • M7: 1,071,420 km (0.114 R)
  • M8: 1,212,491 km (0.098 R)
  • M9: 1,584,241 km (0.114 R)
  • M10: 1,801,906 km (0.11 R)
  • M11: 1,971,700 km (0.091 R)
  • M12: 2,068,340 km (0.118 R)
  • M13: 2,429,619 km (0.098 R)
  • M14: 2,703,084 km (0.113 R)
  • M15: 2,789,252 km (0.059 R)
  • M16: 3,418,311 km (0.038 R)
  • M17: 3,677,415 km (0.094 R)
  • M18: 3,821,478 km (0.045 R)
  • M19: 4,090,604 km (0.08 R)
  • M20: 5,120,436 km (0.107 R)
  • M21: 5,200,770 km (0.105 R)
  • M22: 5,747,550 km (0.071 R)
  • M23: 5,859,001 km (0.117 R)
  • M24: 5,943,224 km (0.086 R)
  • M25: 6,112,719 km (0.071 R)
  • M26: 6,283,859 km (0.057 R)
  • M27: 6,398,899 km (0.064 R)
  • M28: 6,543,560 km (0.106 R)
  • M29: 6,895,415 km (0.115 R)
  • M30: 7,014,046 km (0.109 R)
  • M31: 7,103,505 km (0.115 R)
  • M32: 7,193,414 km (0.074 R)
  • M33: 8,874,146 km (0.058 R)
  • M34: 9,035,861 km (0.075 R)
  • M35: 10,533,635 km (0.064 R)
  • M36: 11,154,316 km (0.101 R)
  • M37: 11,539,381 km (0.08 R)
  • M38: 12,214,816 km (0.066 R)
  • M39: 12,976,269 km (0.101 R)
  • M40: 13,940,278 km (0.034 R)
  • M41: 14,735,689 km (0.045 R)
  • M42: 15,158,303 km (0.119 R)
  • M43: 15,274,242 km (0.071 R)
  • M44: 15,390,479 km (0.081 R)
  • M45: 15,468,121 km (0.039 R)
  • M46: 15,623,852 km (0.082 R)
  • M47: 16,015,350 km (0.056 R)
  • M48: 16,568,862 km (0.104 R)
  • M49: 16,768,126 km (0.036 R)
  • M50: 16,928,046 km (0.088 R)
  • M51: 17,209,290 km (0.115 R)
  • M52: 17,411,098 km (0.06 R)
  • M53: 18,472,943 km (0.096 R)
  • M54: 19,850,740 km (0.118 R)
  • M55: 20,062,421 km (0.063 R)
  • M56: 20,573,447 km (0.096 R)
  • M57: 22,132,257 km (0.077 R)
  • M58: 22,263,754 km (0.07 R)
  • M59: 22,970,155 km (0.114 R)
  • M60: 23,103,297 km (0.083 R)
  • M61: 23,192,307 km (0.081 R)
  • M62: 23,998,341 km (0.08 R)
  • M63: 24,088,399 km (0.095 R)
  • M64: 24,722,395 km (0.109 R)
  • M65: 25,775,863 km (0.041 R)
  • M66: 26,331,320 km (0.094 R)
  • M67: 26,657,144 km (0.083 R)
  • M68: 27,171,910 km (0.044 R)
  • M69: 27,548,298 km (0.102 R)
  • M70: 27,784,513 km (0.117 R)
  • M71: 28,116,172 km (0.06 R)
  • M72: 28,496,898 km (0.115 R)
  • M73: 30,817,012 km (0.061 R)
  • M74: 31,062,203 km (0.097 R)
  • M75: 31,357,210 km (0.09 R)
  • M76: 31,505,162 km (0.063 R)
  • M77: 31,603,897 km (0.12 R)
  • M78: 31,702,631 km (0.082 R)
  • M79: 32,247,915 km (0.032 R)
  • M80: 32,596,628 km (0.065 R)
  • M81: 33,448,438 km (0.087 R)

Planet 6 - Gas Giant

Semi-Major Axis: 8.72 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 160.6

Radius: 11.5

Gravity: 1.21 G

Time & Orbit

Eccentricity (e): 0.121

Orbit Range: 7.66 AU - 9.78 AU

Year: 9312 Days

Day: 13.8 Hours

Environment

Temp: -170 °C

Axial Tilt: 1.8 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (65)

Outer Limit: 42,098,907 km

  • M1: 145,559 km (0.117 R)
  • M2: 222,302 km (0.039 R)
  • M3: 367,412 km (0.118 R)
  • M4: 586,424 km (0.118 R)
  • M5: 662,419 km (0.103 R)
  • M6: 789,428 km (0.071 R)
  • M7: 1,097,151 km (0.096 R)
  • M8: 1,194,090 km (0.06 R)
  • M9: 1,382,284 km (0.106 R)
  • M10: 1,503,159 km (0.093 R)
  • M11: 1,675,347 km (0.07 R)
  • M12: 1,788,443 km (0.064 R)
  • M13: 2,091,229 km (0.056 R)
  • M14: 2,338,364 km (0.069 R)
  • M15: 2,557,824 km (0.108 R)
  • M16: 2,764,868 km (0.115 R)
  • M17: 2,919,103 km (0.102 R)
  • M18: 3,796,644 km (0.074 R)
  • M19: 3,968,532 km (0.068 R)
  • M20: 4,055,449 km (0.059 R)
  • M21: 4,320,087 km (0.071 R)
  • M22: 4,636,188 km (0.069 R)
  • M23: 6,024,456 km (0.097 R)
  • M24: 7,131,181 km (0.088 R)
  • M25: 7,424,393 km (0.097 R)
  • M26: 7,830,551 km (0.12 R)
  • M27: 7,940,057 km (0.119 R)
  • M28: 8,271,865 km (0.07 R)
  • M29: 8,551,912 km (0.107 R)
  • M30: 9,614,805 km (0.092 R)
  • M31: 10,266,453 km (0.104 R)
  • M32: 10,810,391 km (0.114 R)
  • M33: 11,147,435 km (0.057 R)
  • M34: 11,675,067 km (0.104 R)
  • M35: 13,568,976 km (0.089 R)
  • M36: 13,899,437 km (0.116 R)
  • M37: 14,265,952 km (0.093 R)
  • M38: 14,804,804 km (0.092 R)
  • M39: 15,110,881 km (0.117 R)
  • M40: 15,522,125 km (0.103 R)
  • M41: 15,902,403 km (0.079 R)
  • M42: 16,531,313 km (0.084 R)
  • M43: 16,813,454 km (0.112 R)
  • M44: 17,061,637 km (0.094 R)
  • M45: 17,311,166 km (0.119 R)
  • M46: 17,561,743 km (0.086 R)
  • M47: 18,649,469 km (0.104 R)
  • M48: 18,722,772 km (0.076 R)
  • M49: 18,869,677 km (0.108 R)
  • M50: 20,397,071 km (0.073 R)
  • M51: 20,472,618 km (0.059 R)
  • M52: 20,889,697 km (0.08 R)
  • M53: 21,848,021 km (0.085 R)
  • M54: 22,274,225 km (0.042 R)
  • M55: 23,292,538 km (0.086 R)
  • M56: 23,450,663 km (0.079 R)
  • M57: 24,486,479 km (0.107 R)
  • M58: 24,969,530 km (0.056 R)
  • M59: 25,171,787 km (0.094 R)
  • M60: 25,333,951 km (0.078 R)
  • M61: 25,863,377 km (0.073 R)
  • M62: 26,437,684 km (0.038 R)
  • M63: 26,520,112 km (0.114 R)
  • M64: 26,726,408 km (0.117 R)
  • M65: 27,515,387 km (0.037 R)

Planet 7 - Gas Giant

Semi-Major Axis: 11.51 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 232.7

Radius: 9.5

Gravity: 2.58 G

Time & Orbit

Eccentricity (e): 0.2

Orbit Range: 9.21 AU - 13.81 AU

Year: 14122 Days

Day: 7.6 Hours

Environment

Temp: -176 °C

Axial Tilt: 7.3 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (84)

Outer Limit: 42,098,907 km

  • M1: 148,251 km (0.099 R)
  • M2: 219,460 km (0.083 R)
  • M3: 573,558 km (0.085 R)
  • M4: 704,606 km (0.091 R)
  • M5: 963,261 km (0.035 R)
  • M6: 1,445,714 km (0.118 R)
  • M7: 1,776,774 km (0.103 R)
  • M8: 1,973,495 km (0.043 R)
  • M9: 2,108,582 km (0.105 R)
  • M10: 2,177,397 km (0.088 R)
  • M11: 2,340,907 km (0.069 R)
  • M12: 2,484,222 km (0.057 R)
  • M13: 2,581,461 km (0.079 R)
  • M14: 2,804,960 km (0.108 R)
  • M15: 3,138,863 km (0.077 R)
  • M16: 3,929,487 km (0.109 R)
  • M17: 4,568,719 km (0.114 R)
  • M18: 4,992,530 km (0.084 R)
  • M19: 5,365,776 km (0.118 R)
  • M20: 5,428,907 km (0.11 R)
  • M21: 5,683,672 km (0.119 R)
  • M22: 6,007,850 km (0.12 R)
  • M23: 6,172,259 km (0.113 R)
  • M24: 6,471,903 km (0.112 R)
  • M25: 6,640,350 km (0.025 R)
  • M26: 7,050,847 km (0.101 R)
  • M27: 8,404,259 km (0.107 R)
  • M28: 8,736,366 km (0.087 R)
  • M29: 9,035,263 km (0.088 R)
  • M30: 9,148,209 km (0.118 R)
  • M31: 9,261,604 km (0.08 R)
  • M32: 11,626,597 km (0.093 R)
  • M33: 11,749,566 km (0.083 R)
  • M34: 12,121,018 km (0.102 R)
  • M35: 12,245,633 km (0.116 R)
  • M36: 14,035,422 km (0.106 R)
  • M37: 14,517,576 km (0.071 R)
  • M38: 15,094,425 km (0.078 R)
  • M39: 15,363,103 km (0.098 R)
  • M40: 16,224,637 km (0.105 R)
  • M41: 16,499,897 km (0.113 R)
  • M42: 16,823,178 km (0.056 R)
  • M43: 17,055,204 km (0.082 R)
  • M44: 17,663,769 km (0.086 R)
  • M45: 17,805,139 km (0.052 R)
  • M46: 18,231,792 km (0.114 R)
  • M47: 18,757,628 km (0.075 R)
  • M48: 18,998,331 km (0.084 R)
  • M49: 19,191,761 km (0.113 R)
  • M50: 19,288,551 km (0.054 R)
  • M51: 19,434,259 km (0.117 R)
  • M52: 19,873,479 km (0.092 R)
  • M53: 20,761,641 km (0.116 R)
  • M54: 21,060,538 km (0.095 R)
  • M55: 21,310,815 km (0.037 R)
  • M56: 21,411,046 km (0.118 R)
  • M57: 21,662,669 km (0.08 R)
  • M58: 21,763,648 km (0.098 R)
  • M59: 23,038,222 km (0.105 R)
  • M60: 24,704,742 km (0.069 R)
  • M61: 25,074,398 km (0.118 R)
  • M62: 25,765,840 km (0.04 R)
  • M63: 26,140,882 km (0.078 R)
  • M64: 26,301,998 km (0.119 R)
  • M65: 26,679,583 km (0.116 R)
  • M66: 26,787,743 km (0.087 R)
  • M67: 27,768,058 km (0.12 R)
  • M68: 28,982,194 km (0.056 R)
  • M69: 29,148,996 km (0.029 R)
  • M70: 30,157,136 km (0.053 R)
  • M71: 31,005,954 km (0.096 R)
  • M72: 31,290,639 km (0.078 R)
  • M73: 31,461,779 km (0.102 R)
  • M74: 33,307,517 km (0.053 R)
  • M75: 33,832,905 km (0.102 R)
  • M76: 35,128,871 km (0.109 R)
  • M77: 36,321,017 km (0.086 R)
  • M78: 38,316,802 km (0.089 R)
  • M79: 39,482,020 km (0.09 R)
  • M80: 40,534,441 km (0.106 R)
  • M81: 40,721,139 km (0.086 R)
  • M82: 41,282,879 km (0.102 R)
  • M83: 41,408,092 km (0.092 R)
  • M84: 41,847,312 km (0.046 R)

Kuiper Belt

Range: 30.3 - 50.3 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 197 - 20,146 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit