Star System Generated (Seed: 1766929137)

Star Details

Spectral Class: G2V

Temperature: 5,840 K

Mass: 1.06 sol

Luminosity: 1.23 lux

Habitable Zone (HZ)

Inner Boundary: 1.06 AU

Outer Boundary: 1.52 AU

Physical Limits

Snow Line: 5.32 AU

Max System Radius: 20.6 AU

Planetary System (6 Planets)

Planet 1 - Terrestrial

Semi-Major Axis: 1.71 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.32

Radius: 1.4

Gravity: 1.18 G

Time & Orbit

Eccentricity (e): 0.237

Orbit Range: 1.3 AU - 2.12 AU

Year: 793 Days

Day: 18.9 Hours

Environment

Temp: -39 °C

Axial Tilt: 18.5 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Planet 2 - Gas Giant

Semi-Major Axis: 6.24 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 538.4

Radius: 8.2

Gravity: 8.01 G

Time & Orbit

Eccentricity (e): 0.073

Orbit Range: 5.78 AU - 6.7 AU

Year: 5530 Days

Day: 11.8 Hours

Environment

Temp: -143 °C

Axial Tilt: 3.6 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (84)

Outer Limit: 61,743,126 km

  • M1: 106,813 km (0.063 R)
  • M2: 162,014 km (0.088 R)
  • M3: 219,310 km (0.073 R)
  • M4: 560,543 km (0.098 R)
  • M5: 675,734 km (0.076 R)
  • M6: 825,032 km (0.097 R)
  • M7: 985,401 km (0.086 R)
  • M8: 1,215,184 km (0.104 R)
  • M9: 1,414,597 km (0.113 R)
  • M10: 1,494,034 km (0.105 R)
  • M11: 1,608,028 km (0.081 R)
  • M12: 1,674,449 km (0.111 R)
  • M13: 1,810,134 km (0.094 R)
  • M14: 1,879,398 km (0.111 R)
  • M15: 1,949,559 km (0.061 R)
  • M16: 2,147,178 km (0.096 R)
  • M17: 2,220,631 km (0.114 R)
  • M18: 3,420,855 km (0.113 R)
  • M19: 4,107,808 km (0.056 R)
  • M20: 4,222,549 km (0.088 R)
  • M21: 4,291,963 km (0.092 R)
  • M22: 4,668,501 km (0.048 R)
  • M23: 5,253,129 km (0.065 R)
  • M24: 5,352,761 km (0.048 R)
  • M25: 5,630,265 km (0.118 R)
  • M26: 6,068,138 km (0.108 R)
  • M27: 6,120,498 km (0.067 R)
  • M28: 7,004,322 km (0.076 R)
  • M29: 7,114,127 km (0.068 R)
  • M30: 7,671,977 km (0.111 R)
  • M31: 7,785,223 km (0.076 R)
  • M32: 8,013,509 km (0.069 R)
  • M33: 8,272,912 km (0.06 R)
  • M34: 8,948,346 km (0.095 R)
  • M35: 9,157,334 km (0.062 R)
  • M36: 9,489,143 km (0.112 R)
  • M37: 9,917,292 km (0.111 R)
  • M38: 10,760,425 km (0.114 R)
  • M39: 10,823,855 km (0.065 R)
  • M40: 11,110,634 km (0.105 R)
  • M41: 11,985,931 km (0.111 R)
  • M42: 12,150,339 km (0.103 R)
  • M43: 12,216,461 km (0.105 R)
  • M44: 12,348,855 km (0.1 R)
  • M45: 12,548,269 km (0.082 R)
  • M46: 14,461,177 km (0.105 R)
  • M47: 14,671,512 km (0.091 R)
  • M48: 14,741,823 km (0.091 R)
  • M49: 14,812,284 km (0.106 R)
  • M50: 14,988,809 km (0.103 R)
  • M51: 15,308,500 km (0.116 R)
  • M52: 15,558,627 km (0.1 R)
  • M53: 16,353,590 km (0.073 R)
  • M54: 16,792,810 km (0.099 R)
  • M55: 16,903,363 km (0.087 R)
  • M56: 17,533,469 km (0.118 R)
  • M57: 17,645,518 km (0.111 R)
  • M58: 17,870,363 km (0.104 R)
  • M59: 18,436,292 km (0.084 R)
  • M60: 18,588,283 km (0.098 R)
  • M61: 18,817,019 km (0.085 R)
  • M62: 19,046,651 km (0.103 R)
  • M63: 19,354,225 km (0.102 R)
  • M64: 19,508,610 km (0.108 R)
  • M65: 19,779,980 km (0.116 R)
  • M66: 20,130,488 km (0.075 R)
  • M67: 20,326,162 km (0.047 R)
  • M68: 20,798,293 km (0.096 R)
  • M69: 21,035,705 km (0.054 R)
  • M70: 21,873,752 km (0.113 R)
  • M71: 22,236,377 km (0.054 R)
  • M72: 23,130,823 km (0.07 R)
  • M73: 23,830,193 km (0.094 R)
  • M74: 24,536,295 km (0.118 R)
  • M75: 24,912,982 km (0.097 R)
  • M76: 25,038,944 km (0.116 R)
  • M77: 25,165,204 km (0.047 R)
  • M78: 25,418,174 km (0.057 R)
  • M79: 26,054,414 km (0.073 R)
  • M80: 26,438,731 km (0.029 R)
  • M81: 28,081,764 km (0.118 R)
  • M82: 28,959,754 km (0.11 R)
  • M83: 29,092,148 km (0.077 R)
  • M84: 29,357,834 km (0.11 R)

Planet 3 - Gas Giant

Semi-Major Axis: 6.39 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 369.8

Radius: 14.9

Gravity: 1.67 G

Time & Orbit

Eccentricity (e): 0.172

Orbit Range: 5.29 AU - 7.49 AU

Year: 5730 Days

Day: 12.1 Hours

Environment

Temp: -153 °C

Axial Tilt: 39.6 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (75)

Outer Limit: 61,743,126 km

  • M1: 324,179 km (0.116 R)
  • M2: 520,900 km (0.105 R)
  • M3: 659,427 km (0.073 R)
  • M4: 801,845 km (0.112 R)
  • M5: 895,343 km (0.11 R)
  • M6: 1,056,460 km (0.089 R)
  • M7: 1,160,879 km (0.103 R)
  • M8: 1,409,960 km (0.09 R)
  • M9: 1,511,686 km (0.101 R)
  • M10: 2,092,874 km (0.117 R)
  • M11: 2,210,458 km (0.044 R)
  • M12: 2,347,789 km (0.117 R)
  • M13: 2,470,310 km (0.06 R)
  • M14: 2,758,734 km (0.099 R)
  • M15: 3,077,527 km (0.049 R)
  • M16: 3,388,541 km (0.08 R)
  • M17: 3,957,911 km (0.07 R)
  • M18: 4,296,900 km (0.104 R)
  • M19: 4,426,451 km (0.054 R)
  • M20: 4,623,322 km (0.086 R)
  • M21: 4,890,504 km (0.06 R)
  • M22: 5,071,517 km (0.096 R)
  • M23: 5,651,359 km (0.105 R)
  • M24: 5,889,369 km (0.053 R)
  • M25: 6,106,435 km (0.115 R)
  • M26: 6,424,780 km (0.086 R)
  • M27: 6,523,814 km (0.104 R)
  • M28: 7,052,193 km (0.083 R)
  • M29: 7,231,411 km (0.076 R)
  • M30: 7,360,365 km (0.08 R)
  • M31: 7,568,306 km (0.079 R)
  • M32: 8,096,835 km (0.073 R)
  • M33: 8,338,585 km (0.06 R)
  • M34: 8,692,085 km (0.079 R)
  • M35: 8,967,345 km (0.036 R)
  • M36: 9,357,646 km (0.077 R)
  • M37: 10,270,642 km (0.072 R)
  • M38: 10,445,073 km (0.105 R)
  • M39: 10,944,580 km (0.108 R)
  • M40: 11,602,512 km (0.099 R)
  • M41: 11,814,641 km (0.067 R)
  • M42: 12,119,821 km (0.119 R)
  • M43: 12,738,109 km (0.107 R)
  • M44: 12,894,289 km (0.057 R)
  • M45: 13,652,900 km (0.078 R)
  • M46: 13,812,820 km (0.101 R)
  • M47: 14,102,142 km (0.059 R)
  • M48: 14,231,395 km (0.077 R)
  • M49: 14,817,968 km (0.101 R)
  • M50: 15,445,831 km (0.043 R)
  • M51: 15,612,483 km (0.087 R)
  • M52: 16,014,901 km (0.081 R)
  • M53: 16,795,802 km (0.096 R)
  • M54: 17,484,999 km (0.093 R)
  • M55: 17,798,107 km (0.085 R)
  • M56: 18,007,993 km (0.112 R)
  • M57: 18,253,783 km (0.111 R)
  • M58: 18,465,314 km (0.089 R)
  • M59: 18,606,983 km (0.118 R)
  • M60: 19,284,063 km (0.053 R)
  • M61: 19,463,581 km (0.115 R)
  • M62: 19,752,155 km (0.028 R)
  • M63: 20,187,485 km (0.084 R)
  • M64: 20,369,844 km (0.089 R)
  • M65: 20,846,463 km (0.077 R)
  • M66: 21,178,571 km (0.118 R)
  • M67: 21,885,570 km (0.089 R)
  • M68: 22,638,047 km (0.101 R)
  • M69: 22,903,584 km (0.065 R)
  • M70: 23,399,201 km (0.105 R)
  • M71: 23,629,133 km (0.097 R)
  • M72: 23,937,006 km (0.09 R)
  • M73: 24,712,222 km (0.065 R)
  • M74: 25,732,479 km (0.099 R)
  • M75: 25,930,248 km (0.109 R)

Planet 4 - Gas Giant

Semi-Major Axis: 6.63 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 965.1

Radius: 11.6

Gravity: 7.17 G

Time & Orbit

Eccentricity (e): 0.129

Orbit Range: 5.77 AU - 7.49 AU

Year: 6056 Days

Day: 5.2 Hours

Environment

Temp: -157 °C

Axial Tilt: 36.1 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (80)

Outer Limit: 61,743,126 km

  • M1: 229,184 km (0.08 R)
  • M2: 428,149 km (0.108 R)
  • M3: 679,474 km (0.1 R)
  • M4: 900,130 km (0.081 R)
  • M5: 1,213,538 km (0.12 R)
  • M6: 1,338,003 km (0.104 R)
  • M7: 1,504,356 km (0.068 R)
  • M8: 1,619,247 km (0.118 R)
  • M9: 2,002,966 km (0.033 R)
  • M10: 2,194,750 km (0.066 R)
  • M11: 2,854,028 km (0.114 R)
  • M12: 3,317,931 km (0.048 R)
  • M13: 3,858,428 km (0.083 R)
  • M14: 4,017,900 km (0.102 R)
  • M15: 4,371,250 km (0.08 R)
  • M16: 4,565,577 km (0.095 R)
  • M17: 4,819,894 km (0.107 R)
  • M18: 6,036,124 km (0.108 R)
  • M19: 6,346,839 km (0.111 R)
  • M20: 7,375,773 km (0.03 R)
  • M21: 7,641,160 km (0.081 R)
  • M22: 7,977,306 km (0.036 R)
  • M23: 8,283,982 km (0.081 R)
  • M24: 8,698,967 km (0.045 R)
  • M25: 8,838,841 km (0.094 R)
  • M26: 9,050,073 km (0.094 R)
  • M27: 9,369,913 km (0.068 R)
  • M28: 11,025,064 km (0.091 R)
  • M29: 11,635,124 km (0.111 R)
  • M30: 11,944,193 km (0.097 R)
  • M31: 12,021,984 km (0.099 R)
  • M32: 12,413,033 km (0.105 R)
  • M33: 12,610,203 km (0.12 R)
  • M34: 12,689,340 km (0.105 R)
  • M35: 12,768,627 km (0.119 R)
  • M36: 12,848,213 km (0.107 R)
  • M37: 13,449,597 km (0.09 R)
  • M38: 14,306,942 km (0.116 R)
  • M39: 14,596,713 km (0.06 R)
  • M40: 14,721,478 km (0.112 R)
  • M41: 15,519,881 km (0.066 R)
  • M42: 15,988,572 km (0.117 R)
  • M43: 16,332,348 km (0.112 R)
  • M44: 16,418,666 km (0.098 R)
  • M45: 16,505,283 km (0.064 R)
  • M46: 17,158,726 km (0.081 R)
  • M47: 17,466,599 km (0.096 R)
  • M48: 17,820,697 km (0.113 R)
  • M49: 18,942,531 km (0.069 R)
  • M50: 19,215,248 km (0.119 R)
  • M51: 19,672,569 km (0.03 R)
  • M52: 19,994,803 km (0.119 R)
  • M53: 21,537,605 km (0.112 R)
  • M54: 22,203,615 km (0.12 R)
  • M55: 22,779,866 km (0.071 R)
  • M56: 24,143,600 km (0.107 R)
  • M57: 24,291,403 km (0.059 R)
  • M58: 24,785,824 km (0.114 R)
  • M59: 25,634,044 km (0.102 R)
  • M60: 26,087,026 km (0.102 R)
  • M61: 26,441,124 km (0.081 R)
  • M62: 27,000,770 km (0.079 R)
  • M63: 27,667,229 km (0.112 R)
  • M64: 28,131,880 km (0.111 R)
  • M65: 28,807,464 km (0.066 R)
  • M66: 30,812,973 km (0.054 R)
  • M67: 31,187,266 km (0.042 R)
  • M68: 31,348,084 km (0.101 R)
  • M69: 32,319,274 km (0.055 R)
  • M70: 32,863,062 km (0.086 R)
  • M71: 33,136,078 km (0.12 R)
  • M72: 33,409,842 km (0.109 R)
  • M73: 33,629,452 km (0.108 R)
  • M74: 34,512,528 km (0.1 R)
  • M75: 34,734,531 km (0.092 R)
  • M76: 35,179,884 km (0.082 R)
  • M77: 35,963,927 km (0.107 R)
  • M78: 37,435,072 km (0.068 R)
  • M79: 37,549,066 km (0.069 R)
  • M80: 38,235,271 km (0.093 R)

Planet 5 - Gas Giant

Semi-Major Axis: 9.72 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 327.5

Radius: 15

Gravity: 1.46 G

Time & Orbit

Eccentricity (e): 0.167

Orbit Range: 8.1 AU - 11.34 AU

Year: 10751 Days

Day: 7.5 Hours

Environment

Temp: -166 °C

Axial Tilt: 31.4 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (76)

Outer Limit: 61,743,126 km

  • M1: 305,628 km (0.071 R)
  • M2: 410,646 km (0.082 R)
  • M3: 820,395 km (0.099 R)
  • M4: 927,208 km (0.064 R)
  • M5: 1,105,827 km (0.102 R)
  • M6: 1,243,458 km (0.085 R)
  • M7: 1,351,018 km (0.096 R)
  • M8: 1,733,241 km (0.119 R)
  • M9: 2,259,227 km (0.102 R)
  • M10: 2,483,624 km (0.056 R)
  • M11: 2,621,852 km (0.095 R)
  • M12: 2,906,238 km (0.099 R)
  • M13: 3,077,079 km (0.032 R)
  • M14: 3,688,036 km (0.086 R)
  • M15: 4,198,614 km (0.118 R)
  • M16: 4,532,815 km (0.101 R)
  • M17: 4,846,971 km (0.12 R)
  • M18: 5,021,402 km (0.092 R)
  • M19: 5,436,387 km (0.109 R)
  • M20: 6,111,372 km (0.083 R)
  • M21: 6,205,469 km (0.091 R)
  • M22: 6,395,309 km (0.089 R)
  • M23: 7,074,633 km (0.066 R)
  • M24: 7,372,781 km (0.113 R)
  • M25: 7,709,077 km (0.099 R)
  • M26: 7,981,794 km (0.077 R)
  • M27: 8,466,791 km (0.101 R)
  • M28: 9,140,280 km (0.083 R)
  • M29: 9,721,019 km (0.119 R)
  • M30: 11,109,587 km (0.115 R)
  • M31: 11,495,549 km (0.065 R)
  • M32: 12,400,018 km (0.113 R)
  • M33: 12,559,639 km (0.057 R)
  • M34: 13,164,463 km (0.114 R)
  • M35: 13,327,375 km (0.119 R)
  • M36: 14,696,794 km (0.117 R)
  • M37: 15,078,119 km (0.109 R)
  • M38: 16,067,260 km (0.105 R)
  • M39: 16,328,757 km (0.043 R)
  • M40: 16,547,918 km (0.097 R)
  • M41: 17,033,214 km (0.07 R)
  • M42: 17,166,356 km (0.059 R)
  • M43: 18,425,970 km (0.038 R)
  • M44: 19,390,278 km (0.048 R)
  • M45: 20,042,225 km (0.108 R)
  • M46: 20,323,918 km (0.081 R)
  • M47: 20,512,411 km (0.051 R)
  • M48: 20,938,616 km (0.11 R)
  • M49: 22,186,411 km (0.08 R)
  • M50: 22,283,500 km (0.035 R)
  • M51: 22,526,597 km (0.099 R)
  • M52: 24,153,025 km (0.083 R)
  • M53: 24,302,772 km (0.068 R)
  • M54: 25,106,562 km (0.072 R)
  • M55: 25,207,690 km (0.079 R)
  • M56: 25,766,139 km (0.114 R)
  • M57: 26,431,401 km (0.108 R)
  • M58: 26,534,174 km (0.106 R)
  • M59: 26,946,915 km (0.032 R)
  • M60: 27,778,829 km (0.058 R)
  • M61: 27,935,757 km (0.079 R)
  • M62: 28,355,678 km (0.045 R)
  • M63: 29,574,601 km (0.066 R)
  • M64: 31,135,805 km (0.093 R)
  • M65: 31,298,717 km (0.089 R)
  • M66: 32,944,742 km (0.119 R)
  • M67: 33,388,450 km (0.115 R)
  • M68: 33,555,251 km (0.068 R)
  • M69: 33,778,302 km (0.068 R)
  • M70: 34,281,698 km (0.058 R)
  • M71: 34,731,240 km (0.046 R)
  • M72: 34,900,435 km (0.091 R)
  • M73: 36,320,269 km (0.038 R)
  • M74: 37,238,949 km (0.099 R)
  • M75: 38,456,227 km (0.056 R)
  • M76: 39,216,334 km (0.099 R)

Planet 6 - Gas Giant

Semi-Major Axis: 12.19 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 642.2

Radius: 11.4

Gravity: 4.94 G

Time & Orbit

Eccentricity (e): 0.138

Orbit Range: 10.51 AU - 13.87 AU

Year: 15099 Days

Day: 11.1 Hours

Environment

Temp: -183 °C

Axial Tilt: 19.8 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (89)

Outer Limit: 61,743,126 km

  • M1: 545,135 km (0.04 R)
  • M2: 1,282,652 km (0.075 R)
  • M3: 1,356,703 km (0.104 R)
  • M4: 1,457,981 km (0.075 R)
  • M5: 1,561,802 km (0.066 R)
  • M6: 1,974,094 km (0.06 R)
  • M7: 2,119,054 km (0.089 R)
  • M8: 2,419,895 km (0.113 R)
  • M9: 2,607,042 km (0.079 R)
  • M10: 2,766,813 km (0.08 R)
  • M11: 2,929,725 km (0.099 R)
  • M12: 3,900,914 km (0.112 R)
  • M13: 4,121,272 km (0.083 R)
  • M14: 4,497,810 km (0.103 R)
  • M15: 4,924,762 km (0.084 R)
  • M16: 6,069,934 km (0.059 R)
  • M17: 6,240,176 km (0.093 R)
  • M18: 6,541,765 km (0.12 R)
  • M19: 6,892,423 km (0.097 R)
  • M20: 7,612,138 km (0.105 R)
  • M21: 8,402,912 km (0.057 R)
  • M22: 8,545,180 km (0.056 R)
  • M23: 8,736,216 km (0.098 R)
  • M24: 9,465,057 km (0.094 R)
  • M25: 10,011,837 km (0.099 R)
  • M26: 10,365,337 km (0.112 R)
  • M27: 10,877,261 km (0.109 R)
  • M28: 11,136,365 km (0.087 R)
  • M29: 12,570,559 km (0.098 R)
  • M30: 12,787,925 km (0.103 R)
  • M31: 13,171,494 km (0.076 R)
  • M32: 14,005,951 km (0.08 R)
  • M33: 14,401,189 km (0.093 R)
  • M34: 15,434,461 km (0.101 R)
  • M35: 16,195,615 km (0.119 R)
  • M36: 17,330,016 km (0.067 R)
  • M37: 18,243,610 km (0.116 R)
  • M38: 19,172,912 km (0.099 R)
  • M39: 19,548,851 km (0.093 R)
  • M40: 20,308,210 km (0.075 R)
  • M41: 22,908,520 km (0.113 R)
  • M42: 23,240,927 km (0.116 R)
  • M43: 23,843,208 km (0.078 R)
  • M44: 25,405,608 km (0.064 R)
  • M45: 25,542,939 km (0.1 R)
  • M46: 26,095,254 km (0.051 R)
  • M47: 26,511,884 km (0.06 R)
  • M48: 26,860,896 km (0.111 R)
  • M49: 28,628,395 km (0.118 R)
  • M50: 29,130,146 km (0.1 R)
  • M51: 29,346,016 km (0.061 R)
  • M52: 30,360,439 km (0.108 R)
  • M53: 31,092,122 km (0.115 R)
  • M54: 31,239,177 km (0.117 R)
  • M55: 31,533,885 km (0.12 R)
  • M56: 31,903,691 km (0.108 R)
  • M57: 32,498,342 km (0.081 R)
  • M58: 32,871,739 km (0.102 R)
  • M59: 33,171,533 km (0.116 R)
  • M60: 33,773,963 km (0.047 R)
  • M61: 34,455,980 km (0.12 R)
  • M62: 37,463,346 km (0.036 R)
  • M63: 38,642,327 km (0.074 R)
  • M64: 39,753,540 km (0.076 R)
  • M65: 40,233,001 km (0.056 R)
  • M66: 40,313,185 km (0.092 R)
  • M67: 41,683,053 km (0.083 R)
  • M68: 41,926,299 km (0.071 R)
  • M69: 42,088,912 km (0.042 R)
  • M70: 42,414,437 km (0.119 R)
  • M71: 42,822,540 km (0.081 R)
  • M72: 42,986,200 km (0.082 R)
  • M73: 43,314,119 km (0.104 R)
  • M74: 46,050,862 km (0.105 R)
  • M75: 47,228,646 km (0.053 R)
  • M76: 47,651,709 km (0.088 R)
  • M77: 52,038,218 km (0.091 R)
  • M78: 53,264,771 km (0.109 R)
  • M79: 54,766,883 km (0.083 R)
  • M80: 54,944,605 km (0.12 R)
  • M81: 57,271,301 km (0.078 R)
  • M82: 57,451,716 km (0.097 R)
  • M83: 57,632,131 km (0.119 R)
  • M84: 58,174,872 km (0.081 R)
  • M85: 58,265,379 km (0.055 R)
  • M86: 59,538,905 km (0.077 R)
  • M87: 59,812,969 km (0.056 R)
  • M88: 60,545,849 km (0.116 R)
  • M89: 61,189,568 km (0.031 R)

Kuiper Belt

Range: 30.9 - 46.9 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 251 - 10,893 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit