Star System Generated (Seed: 1766912724)

Star Details

Spectral Class: M1V

Temperature: 3,483 K

Mass: 0.32 sol

Luminosity: 0.02 lux

Habitable Zone (HZ)

Inner Boundary: 0.13 AU

Outer Boundary: 0.19 AU

Physical Limits

Snow Line: 0.68 AU

Max System Radius: 11.3 AU

Planetary System (10 Planets)

Planet 1 - Terrestrial

Semi-Major Axis: 0.54 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.71

Radius: 0.87

Gravity: 0.94 G

Time & Orbit

Eccentricity (e): 0.161

Orbit Range: 0.45 AU - 0.63 AU

Year: 256 Days

Day: 41 Hours

Environment

Temp: -130 °C

Axial Tilt: 21.2 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 39,792,579 km

  • M1: 373,247 km (0.055 R)

Planet 2 - Terrestrial

Semi-Major Axis: 0.56 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.3

Radius: 1.11

Gravity: 1.06 G

Time & Orbit

Eccentricity (e): 0.072

Orbit Range: 0.52 AU - 0.6 AU

Year: 271 Days

Day: 45.8 Hours

Environment

Temp: -120 °C

Axial Tilt: 29.2 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Planet 3 - Terrestrial

Semi-Major Axis: 0.65 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.66

Radius: 0.85

Gravity: 0.91 G

Time & Orbit

Eccentricity (e): 0.093

Orbit Range: 0.59 AU - 0.71 AU

Year: 338 Days

Day: 33.7 Hours

Environment

Temp: -136 °C

Axial Tilt: 33.9 °

Atmosphere: Thin Nâ‚‚/CHâ‚„

Biome: Ice Cap/Desert

Satellites (2)

Outer Limit: 39,792,579 km

  • M1: 21,542 km (0.084 R)
  • M2: 223,350 km (0.098 R)

Planet 4 - Gas Giant

Semi-Major Axis: 0.7 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 872.6

Radius: 13.5

Gravity: 4.79 G

Time & Orbit

Eccentricity (e): 0.247

Orbit Range: 0.53 AU - 0.87 AU

Year: 378 Days

Day: 10.6 Hours

Environment

Temp: -137 °C

Axial Tilt: 26 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (36)

Outer Limit: 39,792,579 km

  • M1: 167,998 km (0.076 R)
  • M2: 287,078 km (0.092 R)
  • M3: 372,499 km (0.051 R)
  • M4: 524,939 km (0.042 R)
  • M5: 646,263 km (0.062 R)
  • M6: 848,968 km (0.082 R)
  • M7: 943,514 km (0.042 R)
  • M8: 1,032,973 km (0.099 R)
  • M9: 1,182,721 km (0.084 R)
  • M10: 1,411,456 km (0.07 R)
  • M11: 1,499,868 km (0.116 R)
  • M12: 1,655,151 km (0.088 R)
  • M13: 1,754,484 km (0.066 R)
  • M14: 1,988,305 km (0.105 R)
  • M15: 2,106,338 km (0.075 R)
  • M16: 2,250,999 km (0.119 R)
  • M17: 2,367,985 km (0.043 R)
  • M18: 2,544,361 km (0.071 R)
  • M19: 2,666,582 km (0.094 R)
  • M20: 2,830,392 km (0.114 R)
  • M21: 3,024,719 km (0.097 R)
  • M22: 3,147,689 km (0.112 R)
  • M23: 3,356,378 km (0.068 R)
  • M24: 3,634,480 km (0.111 R)
  • M25: 3,780,189 km (0.107 R)
  • M26: 3,942,652 km (0.103 R)
  • M27: 4,115,138 km (0.049 R)
  • M28: 4,236,462 km (0.093 R)
  • M29: 4,343,724 km (0.095 R)
  • M30: 4,529,824 km (0.103 R)
  • M31: 4,702,759 km (0.055 R)
  • M32: 4,925,959 km (0.089 R)
  • M33: 5,193,589 km (0.09 R)
  • M34: 5,457,779 km (0.096 R)
  • M35: 5,616,802 km (0.061 R)
  • M36: 5,828,333 km (0.071 R)

Planet 5 - Gas Giant

Semi-Major Axis: 0.87 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 381.8

Radius: 14.9

Gravity: 1.72 G

Time & Orbit

Eccentricity (e): 0.072

Orbit Range: 0.81 AU - 0.93 AU

Year: 524 Days

Day: 10.2 Hours

Environment

Temp: -157 °C

Axial Tilt: 18.2 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (39)

Outer Limit: 39,792,579 km

  • M1: 187,147 km (0.111 R)
  • M2: 359,184 km (0.053 R)
  • M3: 461,958 km (0.056 R)
  • M4: 556,205 km (0.106 R)
  • M5: 677,080 km (0.099 R)
  • M6: 770,279 km (0.109 R)
  • M7: 921,822 km (0.11 R)
  • M8: 1,062,444 km (0.06 R)
  • M9: 1,229,694 km (0.103 R)
  • M10: 1,510,490 km (0.053 R)
  • M11: 1,617,602 km (0.103 R)
  • M12: 1,850,675 km (0.083 R)
  • M13: 1,954,945 km (0.067 R)
  • M14: 2,123,841 km (0.084 R)
  • M15: 2,221,678 km (0.071 R)
  • M16: 2,356,765 km (0.103 R)
  • M17: 2,524,913 km (0.09 R)
  • M18: 2,660,000 km (0.067 R)
  • M19: 2,753,648 km (0.058 R)
  • M20: 2,924,788 km (0.086 R)
  • M21: 3,028,011 km (0.115 R)
  • M22: 3,185,238 km (0.071 R)
  • M23: 3,284,870 km (0.058 R)
  • M24: 3,426,240 km (0.099 R)
  • M25: 3,535,297 km (0.083 R)
  • M26: 3,638,669 km (0.095 R)
  • M27: 3,848,555 km (0.1 R)
  • M28: 3,954,919 km (0.101 R)
  • M29: 4,091,203 km (0.095 R)
  • M30: 4,221,802 km (0.051 R)
  • M31: 4,339,086 km (0.042 R)
  • M32: 4,547,027 km (0.07 R)
  • M33: 4,727,891 km (0.086 R)
  • M34: 4,834,554 km (0.106 R)
  • M35: 4,957,374 km (0.087 R)
  • M36: 5,050,275 km (0.109 R)
  • M37: 5,198,526 km (0.076 R)
  • M38: 5,324,487 km (0.099 R)
  • M39: 5,459,574 km (0.037 R)

Planet 6 - Gas Giant

Semi-Major Axis: 0.99 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 223.9

Radius: 10.9

Gravity: 1.88 G

Time & Orbit

Eccentricity (e): 0.083

Orbit Range: 0.91 AU - 1.07 AU

Year: 636 Days

Day: 12.6 Hours

Environment

Temp: -153 °C

Axial Tilt: 26.5 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (40)

Outer Limit: 39,792,579 km

  • M1: 136,882 km (0.098 R)
  • M2: 214,673 km (0.073 R)
  • M3: 290,369 km (0.115 R)
  • M4: 387,010 km (0.027 R)
  • M5: 479,012 km (0.078 R)
  • M6: 646,562 km (0.112 R)
  • M7: 745,745 km (0.034 R)
  • M8: 874,699 km (0.104 R)
  • M9: 965,205 km (0.084 R)
  • M10: 1,063,342 km (0.067 R)
  • M11: 1,138,290 km (0.104 R)
  • M12: 1,251,835 km (0.102 R)
  • M13: 1,336,208 km (0.09 R)
  • M14: 1,466,358 km (0.08 R)
  • M15: 1,585,887 km (0.12 R)
  • M16: 1,708,557 km (0.119 R)
  • M17: 1,787,096 km (0.084 R)
  • M18: 1,936,844 km (0.111 R)
  • M19: 2,024,358 km (0.118 R)
  • M20: 2,107,535 km (0.08 R)
  • M21: 2,358,710 km (0.115 R)
  • M22: 2,481,978 km (0.091 R)
  • M23: 2,577,422 km (0.109 R)
  • M24: 2,698,446 km (0.095 R)
  • M25: 2,772,049 km (0.075 R)
  • M26: 3,028,609 km (0.088 R)
  • M27: 3,137,367 km (0.107 R)
  • M28: 3,558,335 km (0.119 R)
  • M29: 3,645,999 km (0.114 R)
  • M30: 3,761,788 km (0.073 R)
  • M31: 3,878,923 km (0.109 R)
  • M32: 4,039,292 km (0.075 R)
  • M33: 4,109,753 km (0.027 R)
  • M34: 4,230,329 km (0.117 R)
  • M35: 4,316,347 km (0.104 R)
  • M36: 4,643,668 km (0.108 R)
  • M37: 4,724,899 km (0.065 R)
  • M38: 4,964,106 km (0.038 R)
  • M39: 5,085,131 km (0.079 R)
  • M40: 5,245,649 km (0.109 R)

Planet 7 - Gas Giant

Semi-Major Axis: 1.06 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 282.7

Radius: 11.3

Gravity: 2.21 G

Time & Orbit

Eccentricity (e): 0.105

Orbit Range: 0.95 AU - 1.17 AU

Year: 705 Days

Day: 9.4 Hours

Environment

Temp: -169 °C

Axial Tilt: 34.3 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (47)

Outer Limit: 39,792,579 km

  • M1: 142,567 km (0.072 R)
  • M2: 223,649 km (0.078 R)
  • M3: 340,036 km (0.105 R)
  • M4: 412,890 km (0.078 R)
  • M5: 489,484 km (0.03 R)
  • M6: 629,209 km (0.116 R)
  • M7: 721,062 km (0.047 R)
  • M8: 861,833 km (0.03 R)
  • M9: 933,640 km (0.026 R)
  • M10: 1,040,752 km (0.048 R)
  • M11: 1,127,669 km (0.052 R)
  • M12: 1,324,839 km (0.047 R)
  • M13: 1,484,609 km (0.088 R)
  • M14: 1,633,908 km (0.098 R)
  • M15: 1,719,179 km (0.068 R)
  • M16: 1,794,277 km (0.1 R)
  • M17: 1,876,406 km (0.092 R)
  • M18: 2,014,335 km (0.087 R)
  • M19: 2,143,289 km (0.06 R)
  • M20: 2,224,520 km (0.052 R)
  • M21: 2,313,082 km (0.079 R)
  • M22: 2,494,096 km (0.046 R)
  • M23: 2,626,340 km (0.101 R)
  • M24: 2,727,020 km (0.118 R)
  • M25: 2,890,979 km (0.053 R)
  • M26: 3,009,161 km (0.025 R)
  • M27: 3,114,628 km (0.07 R)
  • M28: 3,293,397 km (0.117 R)
  • M29: 3,431,626 km (0.037 R)
  • M30: 3,564,319 km (0.049 R)
  • M31: 3,668,738 km (0.071 R)
  • M32: 3,834,941 km (0.098 R)
  • M33: 4,167,049 km (0.083 R)
  • M34: 4,245,737 km (0.087 R)
  • M35: 4,340,582 km (0.094 R)
  • M36: 4,500,502 km (0.09 R)
  • M37: 4,573,207 km (0.117 R)
  • M38: 4,711,435 km (0.116 R)
  • M39: 4,859,238 km (0.073 R)
  • M40: 4,975,326 km (0.076 R)
  • M41: 5,142,876 km (0.101 R)
  • M42: 5,244,153 km (0.109 R)
  • M43: 5,354,856 km (0.076 R)
  • M44: 5,526,594 km (0.114 R)
  • M45: 5,682,625 km (0.091 R)
  • M46: 5,954,893 km (0.105 R)
  • M47: 6,070,382 km (0.078 R)

Planet 8 - Gas Giant

Semi-Major Axis: 1.23 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 700.7

Radius: 13.5

Gravity: 3.84 G

Time & Orbit

Eccentricity (e): 0.134

Orbit Range: 1.07 AU - 1.39 AU

Year: 881 Days

Day: 6.4 Hours

Environment

Temp: -163 °C

Axial Tilt: 27.3 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (50)

Outer Limit: 39,792,579 km

  • M1: 190,588 km (0.119 R)
  • M2: 323,580 km (0.114 R)
  • M3: 413,040 km (0.082 R)
  • M4: 501,302 km (0.092 R)
  • M5: 686,505 km (0.1 R)
  • M6: 879,187 km (0.103 R)
  • M7: 1,058,854 km (0.104 R)
  • M8: 1,143,825 km (0.091 R)
  • M9: 1,398,740 km (0.089 R)
  • M10: 1,515,127 km (0.065 R)
  • M11: 1,627,176 km (0.074 R)
  • M12: 1,765,704 km (0.119 R)
  • M13: 2,046,499 km (0.101 R)
  • M14: 2,230,654 km (0.075 R)
  • M15: 2,579,815 km (0.069 R)
  • M16: 2,733,751 km (0.115 R)
  • M17: 2,928,079 km (0.076 R)
  • M18: 3,079,323 km (0.097 R)
  • M19: 3,165,491 km (0.11 R)
  • M20: 3,291,602 km (0.05 R)
  • M21: 3,558,784 km (0.108 R)
  • M22: 3,669,785 km (0.08 R)
  • M23: 3,771,662 km (0.107 R)
  • M24: 3,926,346 km (0.093 R)
  • M25: 4,125,311 km (0.12 R)
  • M26: 4,231,376 km (0.102 R)
  • M27: 4,370,651 km (0.111 R)
  • M28: 4,468,040 km (0.043 R)
  • M29: 4,620,929 km (0.032 R)
  • M30: 4,753,472 km (0.093 R)
  • M31: 5,376,996 km (0.059 R)
  • M32: 5,610,219 km (0.117 R)
  • M33: 5,858,701 km (0.077 R)
  • M34: 6,122,891 km (0.062 R)
  • M35: 6,379,003 km (0.116 R)
  • M36: 6,502,122 km (0.106 R)
  • M37: 6,588,739 km (0.061 R)
  • M38: 6,901,548 km (0.12 R)
  • M39: 7,129,835 km (0.117 R)
  • M40: 7,451,021 km (0.09 R)
  • M41: 7,554,842 km (0.084 R)
  • M42: 7,869,147 km (0.095 R)
  • M43: 8,041,185 km (0.092 R)
  • M44: 8,254,661 km (0.095 R)
  • M45: 8,348,608 km (0.057 R)
  • M46: 8,632,844 km (0.108 R)
  • M47: 8,755,664 km (0.084 R)
  • M48: 8,989,186 km (0.116 R)
  • M49: 9,210,741 km (0.107 R)
  • M50: 9,378,291 km (0.067 R)

Planet 9 - Gas Giant

Semi-Major Axis: 1.91 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 730.7

Radius: 12.2

Gravity: 4.91 G

Time & Orbit

Eccentricity (e): 0.209

Orbit Range: 1.51 AU - 2.31 AU

Year: 1704 Days

Day: 6.5 Hours

Environment

Temp: -191 °C

Axial Tilt: 39.5 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (64)

Outer Limit: 39,792,579 km

  • M1: 160,519 km (0.027 R)
  • M2: 439,668 km (0.058 R)
  • M3: 594,951 km (0.084 R)
  • M4: 680,670 km (0.093 R)
  • M5: 834,158 km (0.11 R)
  • M6: 932,444 km (0.105 R)
  • M7: 1,034,918 km (0.103 R)
  • M8: 1,168,808 km (0.086 R)
  • M9: 1,337,704 km (0.096 R)
  • M10: 1,535,024 km (0.068 R)
  • M11: 1,817,165 km (0.058 R)
  • M12: 2,150,469 km (0.076 R)
  • M13: 2,515,488 km (0.051 R)
  • M14: 2,686,927 km (0.077 R)
  • M15: 3,080,370 km (0.051 R)
  • M16: 3,171,774 km (0.093 R)
  • M17: 3,317,482 km (0.098 R)
  • M18: 3,519,589 km (0.05 R)
  • M19: 3,656,621 km (0.106 R)
  • M20: 3,753,710 km (0.12 R)
  • M21: 4,050,063 km (0.053 R)
  • M22: 4,136,082 km (0.103 R)
  • M23: 4,546,130 km (0.097 R)
  • M24: 4,938,675 km (0.115 R)
  • M25: 5,170,102 km (0.098 R)
  • M26: 5,263,751 km (0.09 R)
  • M27: 5,357,848 km (0.077 R)
  • M28: 5,516,122 km (0.105 R)
  • M29: 5,595,858 km (0.104 R)
  • M30: 5,821,003 km (0.119 R)
  • M31: 6,049,289 km (0.103 R)
  • M32: 6,230,751 km (0.057 R)
  • M33: 6,582,306 km (0.109 R)
  • M34: 6,683,883 km (0.116 R)
  • M35: 7,147,786 km (0.095 R)
  • M36: 7,728,824 km (0.104 R)
  • M37: 7,836,086 km (0.103 R)
  • M38: 8,052,255 km (0.051 R)
  • M39: 8,142,911 km (0.031 R)
  • M40: 8,619,680 km (0.086 R)
  • M41: 8,749,680 km (0.085 R)
  • M42: 8,898,979 km (0.086 R)
  • M43: 9,011,477 km (0.077 R)
  • M44: 9,256,967 km (0.062 R)
  • M45: 9,409,108 km (0.096 R)
  • M46: 9,677,486 km (0.11 R)
  • M47: 9,773,977 km (0.107 R)
  • M48: 10,241,321 km (0.109 R)
  • M49: 10,379,100 km (0.079 R)
  • M50: 10,497,582 km (0.072 R)
  • M51: 10,976,295 km (0.106 R)
  • M52: 11,380,658 km (0.119 R)
  • M53: 11,996,403 km (0.074 R)
  • M54: 12,266,726 km (0.11 R)
  • M55: 12,350,202 km (0.087 R)
  • M56: 12,559,938 km (0.096 R)
  • M57: 12,686,348 km (0.094 R)
  • M58: 12,982,851 km (0.103 R)
  • M59: 13,561,346 km (0.093 R)
  • M60: 13,756,123 km (0.077 R)
  • M61: 14,192,051 km (0.058 R)
  • M62: 14,455,941 km (0.056 R)
  • M63: 14,832,479 km (0.029 R)
  • M64: 15,010,800 km (0.075 R)

Planet 10 - Ice Giant

Semi-Major Axis: 6.02 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 430.9

Radius: 7.1

Gravity: 8.55 G

Time & Orbit

Eccentricity (e): 0.216

Orbit Range: 4.72 AU - 7.32 AU

Year: 9537 Days

Day: 18 Hours

Environment

Temp: -221 °C

Axial Tilt: 25.7 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (80)

Outer Limit: 39,792,579 km

  • M1: 94,845 km (0.084 R)
  • M2: 184,155 km (0.054 R)
  • M3: 274,362 km (0.112 R)
  • M4: 430,094 km (0.11 R)
  • M5: 1,556,566 km (0.109 R)
  • M6: 1,616,555 km (0.06 R)
  • M7: 1,738,776 km (0.09 R)
  • M8: 2,303,209 km (0.108 R)
  • M9: 2,725,224 km (0.09 R)
  • M10: 2,822,313 km (0.049 R)
  • M11: 3,019,932 km (0.09 R)
  • M12: 3,222,039 km (0.103 R)
  • M13: 3,612,938 km (0.081 R)
  • M14: 3,692,973 km (0.064 R)
  • M15: 3,773,606 km (0.1 R)
  • M16: 4,269,374 km (0.118 R)
  • M17: 4,382,470 km (0.093 R)
  • M18: 4,496,463 km (0.098 R)
  • M19: 4,611,354 km (0.12 R)
  • M20: 4,991,931 km (0.107 R)
  • M21: 5,200,920 km (0.071 R)
  • M22: 5,939,484 km (0.062 R)
  • M23: 6,002,465 km (0.05 R)
  • M24: 6,192,903 km (0.118 R)
  • M25: 6,941,341 km (0.066 R)
  • M26: 7,275,543 km (0.089 R)
  • M27: 7,512,655 km (0.077 R)
  • M28: 8,486,388 km (0.105 R)
  • M29: 8,915,734 km (0.061 R)
  • M30: 9,024,192 km (0.069 R)
  • M31: 9,242,456 km (0.092 R)
  • M32: 9,795,669 km (0.11 R)
  • M33: 9,870,318 km (0.09 R)
  • M34: 10,435,648 km (0.09 R)
  • M35: 10,549,941 km (0.108 R)
  • M36: 10,934,108 km (0.099 R)
  • M37: 11,518,886 km (0.048 R)
  • M38: 11,874,630 km (0.101 R)
  • M39: 11,994,009 km (0.105 R)
  • M40: 12,394,782 km (0.059 R)
  • M41: 12,718,661 km (0.076 R)
  • M42: 13,250,931 km (0.063 R)
  • M43: 13,416,087 km (0.106 R)
  • M44: 13,874,006 km (0.035 R)
  • M45: 14,464,169 km (0.089 R)
  • M46: 15,148,580 km (0.104 R)
  • M47: 16,106,904 km (0.096 R)
  • M48: 16,283,279 km (0.095 R)
  • M49: 16,327,560 km (0.061 R)
  • M50: 16,549,115 km (0.063 R)
  • M51: 17,309,670 km (0.054 R)
  • M52: 18,310,929 km (0.105 R)
  • M53: 19,144,189 km (0.034 R)
  • M54: 19,612,281 km (0.102 R)
  • M55: 20,607,705 km (0.114 R)
  • M56: 20,991,274 km (0.086 R)
  • M57: 21,377,237 km (0.082 R)
  • M58: 21,474,026 km (0.047 R)
  • M59: 21,619,585 km (0.092 R)
  • M60: 22,058,206 km (0.039 R)
  • M61: 22,845,091 km (0.107 R)
  • M62: 23,641,251 km (0.115 R)
  • M63: 23,942,092 km (0.093 R)
  • M64: 24,699,805 km (0.076 R)
  • M65: 25,414,135 km (0.061 R)
  • M66: 25,619,533 km (0.063 R)
  • M67: 27,229,505 km (0.035 R)
  • M68: 27,387,032 km (0.1 R)
  • M69: 28,711,721 km (0.105 R)
  • M70: 29,086,314 km (0.118 R)
  • M71: 30,710,199 km (0.073 R)
  • M72: 31,367,831 km (0.033 R)
  • M73: 31,698,442 km (0.073 R)
  • M74: 32,363,106 km (0.112 R)
  • M75: 32,752,958 km (0.099 R)
  • M76: 33,032,407 km (0.107 R)
  • M77: 34,782,552 km (0.056 R)
  • M78: 38,195,478 km (0.089 R)
  • M79: 38,607,470 km (0.085 R)
  • M80: 39,376,404 km (0.111 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: 472 - 17,206 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit