G1V Star System Generated (Seed: 1767425802)

Star Details

Spectral Class: G7V

Temperature: 5,440 K

Mass: 0.96 sol

Luminosity: 0.87 lux

Habitable Zone (HZ)

Inner Boundary: 0.89 AU

Outer Boundary: 1.28 AU

Physical Limits

Snow Line: 4.48 AU

Max System Radius: 19.6 AU

Planetary System (8 Planets)

Planet 1 - Terrestrial

Semi-Major Axis: 0.58 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.67

Radius: 1.85

Gravity: 1.36 G

Time & Orbit

Eccentricity (e): 0.015

Orbit Range: 0.57 AU - 0.59 AU

Year: 165 Days

Day: 46.1 Hours

Environment

Temp: 162 °C

Axial Tilt: 4.2 °

Atmosphere: Dense COâ‚‚

Biome: Volcanic/Barren

Satellites (2)

Outer Limit: 25,345,774 km

  • M1: 91,853 km (0.099 R)
  • M2: 453,132 km (0.07 R)

Planet 2 - Terrestrial

Semi-Major Axis: 1.27 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.89

Radius: 1.89

Gravity: 1.37 G

Time & Orbit

Eccentricity (e): 0.151

Orbit Range: 1.08 AU - 1.46 AU

Year: 534 Days

Day: 44.6 Hours

Environment

Temp: -11 °C

Axial Tilt: 12.1 °

Atmosphere: Nâ‚‚, Oâ‚‚

Biome: Arid/Tundra

Satellites (1)

Outer Limit: 25,345,774 km

  • M1: 47,423 km (0.062 R)

Planet 3 - Terrestrial

Semi-Major Axis: 3.68 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 3.15

Radius: 1.58

Gravity: 1.26 G

Time & Orbit

Eccentricity (e): 0.216

Orbit Range: 2.89 AU - 4.47 AU

Year: 2632 Days

Day: 44.3 Hours

Environment

Temp: -118 °C

Axial Tilt: 37 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Planet 4 - Gas Giant

Semi-Major Axis: 5.61 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 857.2

Radius: 9.5

Gravity: 9.5 G

Time & Orbit

Eccentricity (e): 0.13

Orbit Range: 4.88 AU - 6.34 AU

Year: 4953 Days

Day: 13.2 Hours

Environment

Temp: -143 °C

Axial Tilt: 14.2 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (83)

Outer Limit: 25,345,774 km

  • M1: 126,261 km (0.105 R)
  • M2: 277,205 km (0.042 R)
  • M3: 446,400 km (0.067 R)
  • M4: 627,563 km (0.098 R)
  • M5: 714,779 km (0.055 R)
  • M6: 1,136,944 km (0.051 R)
  • M7: 1,440,777 km (0.092 R)
  • M8: 1,610,870 km (0.044 R)
  • M9: 1,842,148 km (0.057 R)
  • M10: 1,971,251 km (0.083 R)
  • M11: 2,103,346 km (0.096 R)
  • M12: 2,238,433 km (0.085 R)
  • M13: 2,396,408 km (0.1 R)
  • M14: 2,558,124 km (0.086 R)
  • M15: 2,661,047 km (0.064 R)
  • M16: 2,765,466 km (0.12 R)
  • M17: 2,849,839 km (0.106 R)
  • M18: 2,956,802 km (0.073 R)
  • M19: 3,086,802 km (0.074 R)
  • M20: 3,218,748 km (0.052 R)
  • M21: 3,285,319 km (0.109 R)
  • M22: 3,602,616 km (0.089 R)
  • M23: 3,765,079 km (0.116 R)
  • M24: 4,169,592 km (0.084 R)
  • M25: 4,315,749 km (0.062 R)
  • M26: 4,638,282 km (0.088 R)
  • M27: 5,149,757 km (0.116 R)
  • M28: 5,787,044 km (0.04 R)
  • M29: 6,142,788 km (0.095 R)
  • M30: 6,533,837 km (0.094 R)
  • M31: 6,732,353 km (0.093 R)
  • M32: 7,340,020 km (0.1 R)
  • M33: 7,546,465 km (0.095 R)
  • M34: 7,814,694 km (0.113 R)
  • M35: 8,086,214 km (0.12 R)
  • M36: 8,638,379 km (0.113 R)
  • M37: 8,762,845 km (0.106 R)
  • M38: 9,521,605 km (0.092 R)
  • M39: 10,104,439 km (0.075 R)
  • M40: 10,202,724 km (0.1 R)
  • M41: 11,543,271 km (0.114 R)
  • M42: 12,409,143 km (0.033 R)
  • M43: 12,655,232 km (0.103 R)
  • M44: 12,761,297 km (0.107 R)
  • M45: 12,903,116 km (0.084 R)
  • M46: 13,080,987 km (0.036 R)
  • M47: 14,056,216 km (0.092 R)
  • M48: 14,166,021 km (0.099 R)
  • M49: 14,275,975 km (0.109 R)
  • M50: 14,423,329 km (0.092 R)
  • M51: 15,241,929 km (0.088 R)
  • M52: 17,432,640 km (0.051 R)
  • M53: 18,065,140 km (0.098 R)
  • M54: 18,264,254 km (0.104 R)
  • M55: 18,384,082 km (0.11 R)
  • M56: 18,825,845 km (0.107 R)
  • M57: 18,987,411 km (0.106 R)
  • M58: 19,597,171 km (0.117 R)
  • M59: 19,760,832 km (0.052 R)
  • M60: 19,883,801 km (0.096 R)
  • M61: 20,502,987 km (0.079 R)
  • M62: 20,586,013 km (0.079 R)
  • M63: 20,752,516 km (0.065 R)
  • M64: 21,002,943 km (0.072 R)
  • M65: 21,212,380 km (0.099 R)
  • M66: 22,612,317 km (0.039 R)
  • M67: 22,826,989 km (0.079 R)
  • M68: 23,042,410 km (0.06 R)
  • M69: 23,388,430 km (0.107 R)
  • M70: 24,041,874 km (0.089 R)
  • M71: 24,701,301 km (0.066 R)
  • M72: 24,878,126 km (0.066 R)
  • M73: 25,411,143 km (0.045 R)
  • M74: 25,589,763 km (0.12 R)
  • M75: 26,715,038 km (0.063 R)
  • M76: 27,718,690 km (0.026 R)
  • M77: 27,948,473 km (0.074 R)
  • M78: 28,040,475 km (0.043 R)
  • M79: 28,688,084 km (0.113 R)
  • M80: 29,013,759 km (0.105 R)
  • M81: 30,045,087 km (0.062 R)
  • M82: 30,375,698 km (0.115 R)
  • M83: 30,802,650 km (0.119 R)

Planet 5 - Gas Giant

Semi-Major Axis: 5.63 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 697.7

Radius: 10.5

Gravity: 6.33 G

Time & Orbit

Eccentricity (e): 0.232

Orbit Range: 4.32 AU - 6.94 AU

Year: 4980 Days

Day: 12.3 Hours

Environment

Temp: -156 °C

Axial Tilt: 36.4 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (77)

Outer Limit: 25,345,774 km

  • M1: 152,141 km (0.048 R)
  • M2: 229,034 km (0.042 R)
  • M3: 295,306 km (0.073 R)
  • M4: 530,324 km (0.114 R)
  • M5: 642,074 km (0.044 R)
  • M6: 762,650 km (0.034 R)
  • M7: 1,056,161 km (0.107 R)
  • M8: 1,216,231 km (0.118 R)
  • M9: 1,400,386 km (0.115 R)
  • M10: 1,512,135 km (0.039 R)
  • M11: 1,677,142 km (0.051 R)
  • M12: 1,779,167 km (0.09 R)
  • M13: 1,936,096 km (0.081 R)
  • M14: 2,007,304 km (0.073 R)
  • M15: 2,079,560 km (0.081 R)
  • M16: 2,152,564 km (0.034 R)
  • M17: 2,550,644 km (0.066 R)
  • M18: 3,159,208 km (0.029 R)
  • M19: 3,458,404 km (0.113 R)
  • M20: 3,589,451 km (0.061 R)
  • M21: 4,316,198 km (0.112 R)
  • M22: 4,528,776 km (0.078 R)
  • M23: 4,672,540 km (0.098 R)
  • M24: 5,388,216 km (0.119 R)
  • M25: 5,489,643 km (0.056 R)
  • M26: 5,720,323 km (0.097 R)
  • M27: 6,032,684 km (0.078 R)
  • M28: 6,511,846 km (0.084 R)
  • M29: 6,674,309 km (0.094 R)
  • M30: 6,920,547 km (0.092 R)
  • M31: 7,309,502 km (0.114 R)
  • M32: 8,021,887 km (0.071 R)
  • M33: 8,137,825 km (0.112 R)
  • M34: 8,225,340 km (0.119 R)
  • M35: 9,116,494 km (0.101 R)
  • M36: 9,851,469 km (0.104 R)
  • M37: 10,069,582 km (0.109 R)
  • M38: 10,194,796 km (0.068 R)
  • M39: 10,733,049 km (0.117 R)
  • M40: 11,215,652 km (0.099 R)
  • M41: 11,345,503 km (0.03 R)
  • M42: 11,771,258 km (0.106 R)
  • M43: 12,002,536 km (0.096 R)
  • M44: 12,503,390 km (0.038 R)
  • M45: 12,705,796 km (0.071 R)
  • M46: 13,663,970 km (0.081 R)
  • M47: 14,222,120 km (0.088 R)
  • M48: 14,292,281 km (0.118 R)
  • M49: 14,751,996 km (0.065 R)
  • M50: 15,288,454 km (0.118 R)
  • M51: 15,613,380 km (0.075 R)
  • M52: 16,750,025 km (0.093 R)
  • M53: 16,824,225 km (0.084 R)
  • M54: 17,234,572 km (0.116 R)
  • M55: 17,422,168 km (0.083 R)
  • M56: 18,831,530 km (0.116 R)
  • M57: 18,908,722 km (0.082 R)
  • M58: 19,961,592 km (0.111 R)
  • M59: 20,634,184 km (0.034 R)
  • M60: 20,873,391 km (0.095 R)
  • M61: 22,042,498 km (0.101 R)
  • M62: 22,532,431 km (0.095 R)
  • M63: 23,439,892 km (0.096 R)
  • M64: 23,606,245 km (0.112 R)
  • M65: 23,939,998 km (0.094 R)
  • M66: 24,359,470 km (0.086 R)
  • M67: 24,654,477 km (0.04 R)
  • M68: 25,077,989 km (0.086 R)
  • M69: 25,418,623 km (0.089 R)
  • M70: 26,492,736 km (0.057 R)
  • M71: 27,275,282 km (0.057 R)
  • M72: 27,581,659 km (0.116 R)
  • M73: 28,065,458 km (0.103 R)
  • M74: 28,286,265 km (0.066 R)
  • M75: 28,419,107 km (0.112 R)
  • M76: 29,309,514 km (0.07 R)
  • M77: 29,713,279 km (0.107 R)

Planet 6 - Gas Giant

Semi-Major Axis: 5.69 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 743.1

Radius: 13.3

Gravity: 4.2 G

Time & Orbit

Eccentricity (e): 0.033

Orbit Range: 5.5 AU - 5.88 AU

Year: 5060 Days

Day: 7.5 Hours

Environment

Temp: -161 °C

Axial Tilt: 48.3 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (76)

Outer Limit: 25,345,774 km

  • M1: 168,148 km (0.088 R)
  • M2: 295,755 km (0.102 R)
  • M3: 645,664 km (0.12 R)
  • M4: 909,256 km (0.029 R)
  • M5: 1,223,860 km (0.085 R)
  • M6: 1,523,654 km (0.091 R)
  • M7: 1,691,354 km (0.049 R)
  • M8: 2,119,054 km (0.1 R)
  • M9: 2,250,401 km (0.099 R)
  • M10: 2,521,173 km (0.064 R)
  • M11: 2,640,702 km (0.112 R)
  • M12: 3,180,451 km (0.054 R)
  • M13: 4,077,140 km (0.111 R)
  • M14: 4,408,948 km (0.08 R)
  • M15: 4,700,515 km (0.065 R)
  • M16: 5,048,629 km (0.12 R)
  • M17: 5,149,608 km (0.105 R)
  • M18: 5,431,001 km (0.111 R)
  • M19: 5,955,641 km (0.107 R)
  • M20: 6,062,454 km (0.109 R)
  • M21: 6,996,842 km (0.114 R)
  • M22: 7,081,514 km (0.1 R)
  • M23: 7,596,580 km (0.108 R)
  • M24: 8,183,004 km (0.104 R)
  • M25: 8,421,762 km (0.111 R)
  • M26: 8,602,326 km (0.043 R)
  • M27: 9,059,497 km (0.085 R)
  • M28: 9,244,550 km (0.093 R)
  • M29: 9,493,182 km (0.102 R)
  • M30: 9,933,897 km (0.114 R)
  • M31: 10,220,676 km (0.065 R)
  • M32: 10,349,031 km (0.089 R)
  • M33: 10,867,986 km (0.03 R)
  • M34: 11,031,796 km (0.093 R)
  • M35: 11,130,530 km (0.086 R)
  • M36: 11,461,890 km (0.117 R)
  • M37: 11,863,710 km (0.114 R)
  • M38: 12,750,227 km (0.112 R)
  • M39: 12,853,898 km (0.042 R)
  • M40: 13,131,701 km (0.056 R)
  • M41: 13,587,376 km (0.09 R)
  • M42: 14,155,549 km (0.031 R)
  • M43: 14,262,960 km (0.047 R)
  • M44: 15,095,323 km (0.094 R)
  • M45: 15,351,733 km (0.04 R)
  • M46: 15,498,938 km (0.105 R)
  • M47: 15,609,640 km (0.099 R)
  • M48: 15,794,693 km (0.073 R)
  • M49: 17,493,377 km (0.103 R)
  • M50: 17,724,206 km (0.092 R)
  • M51: 17,839,995 km (0.105 R)
  • M52: 17,956,083 km (0.086 R)
  • M53: 18,189,007 km (0.115 R)
  • M54: 18,854,268 km (0.063 R)
  • M55: 19,170,219 km (0.102 R)
  • M56: 19,328,793 km (0.052 R)
  • M57: 19,487,815 km (0.105 R)
  • M58: 19,927,484 km (0.12 R)
  • M59: 21,759,609 km (0.087 R)
  • M60: 22,049,529 km (0.04 R)
  • M61: 22,299,059 km (0.064 R)
  • M62: 22,842,697 km (0.072 R)
  • M63: 24,028,709 km (0.111 R)
  • M64: 24,199,700 km (0.076 R)
  • M65: 25,147,851 km (0.114 R)
  • M66: 25,495,666 km (0.096 R)
  • M67: 25,932,641 km (0.038 R)
  • M68: 26,858,353 km (0.067 R)
  • M69: 27,750,106 km (0.096 R)
  • M70: 27,974,503 km (0.065 R)
  • M71: 28,244,676 km (0.107 R)
  • M72: 29,470,930 km (0.115 R)
  • M73: 29,975,524 km (0.073 R)
  • M74: 30,575,561 km (0.115 R)
  • M75: 30,807,438 km (0.095 R)
  • M76: 31,179,637 km (0.098 R)

Planet 7 - Gas Giant

Semi-Major Axis: 8.07 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 828.9

Radius: 11.5

Gravity: 6.27 G

Time & Orbit

Eccentricity (e): 0.002

Orbit Range: 8.05 AU - 8.09 AU

Year: 8546 Days

Day: 5.4 Hours

Environment

Temp: -163 °C

Axial Tilt: 44.8 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (84)

Outer Limit: 25,345,774 km

  • M1: 335,249 km (0.045 R)
  • M2: 456,274 km (0.029 R)
  • M3: 566,228 km (0.088 R)
  • M4: 671,096 km (0.115 R)
  • M5: 783,594 km (0.101 R)
  • M6: 1,259,464 km (0.08 R)
  • M7: 1,422,676 km (0.093 R)
  • M8: 1,636,900 km (0.092 R)
  • M9: 1,793,230 km (0.108 R)
  • M10: 2,145,233 km (0.09 R)
  • M11: 2,392,369 km (0.042 R)
  • M12: 2,648,780 km (0.102 R)
  • M13: 2,727,468 km (0.074 R)
  • M14: 2,887,389 km (0.085 R)
  • M15: 3,077,827 km (0.115 R)
  • M16: 4,461,756 km (0.094 R)
  • M17: 4,650,848 km (0.12 R)
  • M18: 4,778,455 km (0.12 R)
  • M19: 5,400,334 km (0.074 R)
  • M20: 5,500,863 km (0.108 R)
  • M21: 5,840,600 km (0.089 R)
  • M22: 5,978,529 km (0.055 R)
  • M23: 6,187,368 km (0.086 R)
  • M24: 7,083,160 km (0.12 R)
  • M25: 7,565,164 km (0.088 R)
  • M26: 8,250,023 km (0.098 R)
  • M27: 8,327,365 km (0.099 R)
  • M28: 9,034,215 km (0.104 R)
  • M29: 9,153,894 km (0.095 R)
  • M30: 9,435,287 km (0.079 R)
  • M31: 9,556,761 km (0.09 R)
  • M32: 10,171,907 km (0.096 R)
  • M33: 11,354,478 km (0.044 R)
  • M34: 11,526,965 km (0.061 R)
  • M35: 11,656,816 km (0.1 R)
  • M36: 11,918,163 km (0.05 R)
  • M37: 12,491,123 km (0.099 R)
  • M38: 13,390,057 km (0.105 R)
  • M39: 14,589,682 km (0.065 R)
  • M40: 14,730,304 km (0.102 R)
  • M41: 15,967,927 km (0.098 R)
  • M42: 17,238,761 km (0.106 R)
  • M43: 17,736,324 km (0.064 R)
  • M44: 18,288,938 km (0.1 R)
  • M45: 19,308,148 km (0.104 R)
  • M46: 19,876,620 km (0.058 R)
  • M47: 21,082,978 km (0.05 R)
  • M48: 21,295,257 km (0.105 R)
  • M49: 21,721,910 km (0.096 R)
  • M50: 22,746,356 km (0.116 R)
  • M51: 23,401,445 km (0.101 R)
  • M52: 23,731,309 km (0.076 R)
  • M53: 23,896,913 km (0.115 R)
  • M54: 24,007,466 km (0.085 R)
  • M55: 24,118,169 km (0.03 R)
  • M56: 24,730,323 km (0.096 R)
  • M57: 25,516,759 km (0.048 R)
  • M58: 26,711,897 km (0.051 R)
  • M59: 27,402,889 km (0.11 R)
  • M60: 27,750,704 km (0.105 R)
  • M61: 28,626,450 km (0.077 R)
  • M62: 29,570,562 km (0.067 R)
  • M63: 29,689,343 km (0.07 R)
  • M64: 30,704,963 km (0.091 R)
  • M65: 31,186,967 km (0.117 R)
  • M66: 32,158,306 km (0.118 R)
  • M67: 32,525,120 km (0.087 R)
  • M68: 32,708,976 km (0.06 R)
  • M69: 35,825,100 km (0.119 R)
  • M70: 38,385,467 km (0.11 R)
  • M71: 38,969,647 km (0.031 R)
  • M72: 39,949,812 km (0.102 R)
  • M73: 40,673,716 km (0.107 R)
  • M74: 40,805,811 km (0.114 R)
  • M75: 41,734,515 km (0.117 R)
  • M76: 42,134,689 km (0.079 R)
  • M77: 42,268,280 km (0.117 R)
  • M78: 42,469,040 km (0.109 R)
  • M79: 42,737,269 km (0.042 R)
  • M80: 43,410,161 km (0.079 R)
  • M81: 43,747,803 km (0.069 R)
  • M82: 44,902,698 km (0.075 R)
  • M83: 45,381,262 km (0.091 R)
  • M84: 45,586,810 km (0.038 R)

Planet 8 - Gas Giant

Semi-Major Axis: 10.31 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 66.5

Radius: 11.4

Gravity: 0.51 G

Time & Orbit

Eccentricity (e): 0.07

Orbit Range: 9.59 AU - 11.03 AU

Year: 12341 Days

Day: 8.9 Hours

Environment

Temp: -180 °C

Axial Tilt: 39.8 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (58)

Outer Limit: 25,345,774 km

  • M1: 202,705 km (0.079 R)
  • M2: 343,477 km (0.098 R)
  • M3: 521,498 km (0.108 R)
  • M4: 628,760 km (0.083 R)
  • M5: 722,857 km (0.038 R)
  • M6: 856,597 km (0.079 R)
  • M7: 974,929 km (0.071 R)
  • M8: 1,061,247 km (0.067 R)
  • M9: 1,350,570 km (0.086 R)
  • M10: 1,724,714 km (0.104 R)
  • M11: 2,002,667 km (0.117 R)
  • M12: 2,179,940 km (0.107 R)
  • M13: 2,295,430 km (0.105 R)
  • M14: 2,498,284 km (0.104 R)
  • M15: 2,921,946 km (0.113 R)
  • M16: 3,502,535 km (0.084 R)
  • M17: 4,513,069 km (0.117 R)
  • M18: 5,028,732 km (0.089 R)
  • M19: 5,116,546 km (0.091 R)
  • M20: 5,472,889 km (0.03 R)
  • M21: 5,699,679 km (0.071 R)
  • M22: 6,162,684 km (0.099 R)
  • M23: 6,494,044 km (0.103 R)
  • M24: 6,565,851 km (0.078 R)
  • M25: 7,800,931 km (0.074 R)
  • M26: 8,471,129 km (0.115 R)
  • M27: 9,106,322 km (0.047 R)
  • M28: 9,186,805 km (0.073 R)
  • M29: 9,375,448 km (0.038 R)
  • M30: 9,839,052 km (0.047 R)
  • M31: 10,059,858 km (0.093 R)
  • M32: 10,338,260 km (0.051 R)
  • M33: 11,651,131 km (0.112 R)
  • M34: 11,855,482 km (0.062 R)
  • M35: 12,238,303 km (0.116 R)
  • M36: 12,985,843 km (0.103 R)
  • M37: 13,106,718 km (0.12 R)
  • M38: 13,594,407 km (0.079 R)
  • M39: 13,717,227 km (0.118 R)
  • M40: 13,933,246 km (0.114 R)
  • M41: 15,347,844 km (0.115 R)
  • M42: 15,861,862 km (0.097 R)
  • M43: 16,381,416 km (0.085 R)
  • M44: 16,610,600 km (0.066 R)
  • M45: 16,939,715 km (0.05 R)
  • M46: 17,370,856 km (0.063 R)
  • M47: 17,604,528 km (0.039 R)
  • M48: 18,481,471 km (0.038 R)
  • M49: 18,788,296 km (0.109 R)
  • M50: 19,788,657 km (0.087 R)
  • M51: 19,997,795 km (0.061 R)
  • M52: 20,102,663 km (0.038 R)
  • M53: 20,453,470 km (0.088 R)
  • M54: 21,769,033 km (0.106 R)
  • M55: 22,382,684 km (0.1 R)
  • M56: 22,637,000 km (0.102 R)
  • M57: 23,405,634 km (0.081 R)
  • M58: 25,156,976 km (0.095 R)

Kuiper Belt

Range: 30 - 54 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 311 - 13,352 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit