Star System Generated (Seed: 1766121610)

Star Details

Spectral Class: M6V

Temperature: 2,833 K

Mass: 0.29 sol

Luminosity: 0.01 lux

Habitable Zone (HZ)

Inner Boundary: 0.1 AU

Outer Boundary: 0.14 AU

Physical Limits

Snow Line: 0.48 AU

Max System Radius: 10.8 AU

Planetary System (7 Planets)

Planet 1 - Gas Giant

Semi-Major Axis: 0.65 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 32.9

Radius: 14.8

Gravity: 0.15 G

Time & Orbit

Eccentricity (e): 0.2

Orbit Range: 0.52 AU - 0.78 AU

Year: 355 Days

Day: 7.3 Hours

Environment

Temp: -152 °C

Axial Tilt: 10.9 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (14)

Outer Limit: 66,305,660 km

  • M1: 207,193 km (0.054 R)
  • M2: 323,730 km (0.11 R)
  • M3: 450,888 km (0.1 R)
  • M4: 571,165 km (0.11 R)
  • M5: 683,513 km (0.036 R)
  • M6: 799,451 km (0.065 R)
  • M7: 915,389 km (0.1 R)
  • M8: 1,062,294 km (0.094 R)
  • M9: 1,164,470 km (0.055 R)
  • M10: 1,301,202 km (0.1 R)
  • M11: 1,439,132 km (0.096 R)
  • M12: 1,625,381 km (0.074 R)
  • M13: 1,740,272 km (0.106 R)
  • M14: 1,860,698 km (0.071 R)

Planet 2 - Gas Giant

Semi-Major Axis: 0.75 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 642.7

Radius: 13.9

Gravity: 3.33 G

Time & Orbit

Eccentricity (e): 0.018

Orbit Range: 0.74 AU - 0.76 AU

Year: 441 Days

Day: 6.7 Hours

Environment

Temp: -162 °C

Axial Tilt: 33.7 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (36)

Outer Limit: 66,305,660 km

  • M1: 183,257 km (0.11 R)
  • M2: 341,831 km (0.104 R)
  • M3: 560,543 km (0.064 R)
  • M4: 700,118 km (0.117 R)
  • M5: 895,792 km (0.089 R)
  • M6: 1,000,959 km (0.116 R)
  • M7: 1,101,639 km (0.12 R)
  • M8: 1,249,741 km (0.117 R)
  • M9: 1,349,074 km (0.11 R)
  • M10: 1,487,751 km (0.094 R)
  • M11: 1,922,033 km (0.099 R)
  • M12: 2,055,924 km (0.075 R)
  • M13: 2,151,068 km (0.026 R)
  • M14: 2,272,242 km (0.032 R)
  • M15: 2,426,926 km (0.071 R)
  • M16: 2,668,976 km (0.07 R)
  • M17: 2,832,636 km (0.112 R)
  • M18: 2,999,737 km (0.113 R)
  • M19: 3,149,634 km (0.086 R)
  • M20: 3,267,217 km (0.091 R)
  • M21: 3,393,329 km (0.111 R)
  • M22: 3,592,742 km (0.116 R)
  • M23: 3,759,544 km (0.055 R)
  • M24: 3,884,458 km (0.091 R)
  • M25: 4,040,938 km (0.07 R)
  • M26: 4,131,145 km (0.032 R)
  • M27: 4,267,878 km (0.093 R)
  • M28: 4,437,073 km (0.065 R)
  • M29: 4,553,759 km (0.073 R)
  • M30: 4,718,915 km (0.085 R)
  • M31: 4,814,209 km (0.047 R)
  • M32: 4,934,187 km (0.101 R)
  • M33: 5,112,058 km (0.057 R)
  • M34: 5,226,351 km (0.083 R)
  • M35: 5,316,708 km (0.111 R)
  • M36: 5,633,108 km (0.085 R)

Planet 3 - Gas Giant

Semi-Major Axis: 1.66 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 152.9

Radius: 9.7

Gravity: 1.63 G

Time & Orbit

Eccentricity (e): 0.122

Orbit Range: 1.46 AU - 1.86 AU

Year: 1451 Days

Day: 15 Hours

Environment

Temp: -187 °C

Axial Tilt: 6.1 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (57)

Outer Limit: 66,305,660 km

  • M1: 165,904 km (0.088 R)
  • M2: 231,129 km (0.118 R)
  • M3: 299,495 km (0.06 R)
  • M4: 382,073 km (0.098 R)
  • M5: 445,203 km (0.09 R)
  • M6: 508,483 km (0.069 R)
  • M7: 570,865 km (0.105 R)
  • M8: 739,612 km (0.108 R)
  • M9: 936,483 km (0.119 R)
  • M10: 1,021,305 km (0.051 R)
  • M11: 1,114,953 km (0.098 R)
  • M12: 1,199,177 km (0.102 R)
  • M13: 1,329,925 km (0.087 R)
  • M14: 1,565,392 km (0.12 R)
  • M15: 1,674,299 km (0.073 R)
  • M16: 1,736,831 km (0.053 R)
  • M17: 1,807,142 km (0.078 R)
  • M18: 2,135,958 km (0.112 R)
  • M19: 2,319,066 km (0.1 R)
  • M20: 2,539,274 km (0.116 R)
  • M21: 2,725,374 km (0.111 R)
  • M22: 2,824,408 km (0.09 R)
  • M23: 2,890,979 km (0.083 R)
  • M24: 3,000,335 km (0.067 R)
  • M25: 3,154,122 km (0.083 R)
  • M26: 3,595,136 km (0.09 R)
  • M27: 3,667,541 km (0.059 R)
  • M28: 3,933,975 km (0.086 R)
  • M29: 4,083,872 km (0.117 R)
  • M30: 4,159,419 km (0.105 R)
  • M31: 4,225,990 km (0.101 R)
  • M32: 4,369,754 km (0.084 R)
  • M33: 4,466,544 km (0.109 R)
  • M34: 4,554,358 km (0.079 R)
  • M35: 4,751,378 km (0.117 R)
  • M36: 4,830,964 km (0.108 R)
  • M37: 5,031,874 km (0.081 R)
  • M38: 5,092,760 km (0.053 R)
  • M39: 5,164,118 km (0.069 R)
  • M40: 5,256,271 km (0.119 R)
  • M41: 5,338,550 km (0.083 R)
  • M42: 5,546,491 km (0.059 R)
  • M43: 5,630,415 km (0.065 R)
  • M44: 5,778,218 km (0.06 R)
  • M45: 5,873,960 km (0.117 R)
  • M46: 6,175,251 km (0.085 R)
  • M47: 6,284,008 km (0.107 R)
  • M48: 6,349,682 km (0.047 R)
  • M49: 6,437,496 km (0.11 R)
  • M50: 6,514,688 km (0.116 R)
  • M51: 6,614,470 km (0.118 R)
  • M52: 6,804,160 km (0.097 R)
  • M53: 6,995,645 km (0.079 R)
  • M54: 7,131,929 km (0.076 R)
  • M55: 7,441,896 km (0.059 R)
  • M56: 7,697,708 km (0.098 R)
  • M57: 7,920,908 km (0.061 R)

Planet 4 - Gas Giant

Semi-Major Axis: 1.75 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 95.4

Radius: 12.4

Gravity: 0.62 G

Time & Orbit

Eccentricity (e): 0.034

Orbit Range: 1.69 AU - 1.81 AU

Year: 1570 Days

Day: 9.7 Hours

Environment

Temp: -188 °C

Axial Tilt: 39.4 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (40)

Outer Limit: 66,305,660 km

  • M1: 159,322 km (0.045 R)
  • M2: 242,947 km (0.109 R)
  • M3: 361,428 km (0.096 R)
  • M4: 474,524 km (0.112 R)
  • M5: 590,313 km (0.038 R)
  • M6: 899,532 km (0.11 R)
  • M7: 986,299 km (0.113 R)
  • M8: 1,163,722 km (0.106 R)
  • M9: 1,501,963 km (0.104 R)
  • M10: 1,582,147 km (0.087 R)
  • M11: 1,701,975 km (0.069 R)
  • M12: 1,812,079 km (0.078 R)
  • M13: 2,005,359 km (0.104 R)
  • M14: 2,248,007 km (0.095 R)
  • M15: 2,383,842 km (0.102 R)
  • M16: 2,478,388 km (0.072 R)
  • M17: 2,559,470 km (0.077 R)
  • M18: 2,663,889 km (0.113 R)
  • M19: 2,807,952 km (0.105 R)
  • M20: 2,931,370 km (0.109 R)
  • M21: 3,080,370 km (0.098 R)
  • M22: 3,575,838 km (0.097 R)
  • M23: 3,701,500 km (0.049 R)
  • M24: 3,880,120 km (0.103 R)
  • M25: 4,078,936 km (0.078 R)
  • M26: 4,541,043 km (0.109 R)
  • M27: 4,833,956 km (0.113 R)
  • M28: 4,954,681 km (0.112 R)
  • M29: 5,151,851 km (0.113 R)
  • M30: 5,256,271 km (0.09 R)
  • M31: 5,583,292 km (0.108 R)
  • M32: 5,670,956 km (0.098 R)
  • M33: 5,857,654 km (0.104 R)
  • M34: 6,156,551 km (0.105 R)
  • M35: 6,307,944 km (0.115 R)
  • M36: 6,614,320 km (0.102 R)
  • M37: 6,696,898 km (0.12 R)
  • M38: 6,883,896 km (0.06 R)
  • M39: 6,967,670 km (0.051 R)
  • M40: 7,210,169 km (0.06 R)

Planet 5 - Gas Giant

Semi-Major Axis: 2.39 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 644.3

Radius: 14.2

Gravity: 3.2 G

Time & Orbit

Eccentricity (e): 0.189

Orbit Range: 1.94 AU - 2.84 AU

Year: 2506 Days

Day: 11.4 Hours

Environment

Temp: -213 °C

Axial Tilt: 29.5 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (71)

Outer Limit: 66,305,660 km

  • M1: 408,701 km (0.114 R)
  • M2: 519,105 km (0.06 R)
  • M3: 692,638 km (0.116 R)
  • M4: 842,086 km (0.111 R)
  • M5: 945,309 km (0.054 R)
  • M6: 1,261,559 km (0.085 R)
  • M7: 1,393,504 km (0.116 R)
  • M8: 1,495,680 km (0.069 R)
  • M9: 1,612,366 km (0.083 R)
  • M10: 1,855,313 km (0.088 R)
  • M11: 2,020,020 km (0.099 R)
  • M12: 2,391,621 km (0.057 R)
  • M13: 2,557,675 km (0.103 R)
  • M14: 2,670,621 km (0.081 R)
  • M15: 2,960,392 km (0.056 R)
  • M16: 3,079,323 km (0.111 R)
  • M17: 3,399,163 km (0.09 R)
  • M18: 3,508,220 km (0.088 R)
  • M19: 3,602,616 km (0.106 R)
  • M20: 3,826,414 km (0.111 R)
  • M21: 4,203,999 km (0.116 R)
  • M22: 4,645,612 km (0.062 R)
  • M23: 5,084,383 km (0.107 R)
  • M24: 5,555,018 km (0.064 R)
  • M25: 5,926,768 km (0.111 R)
  • M26: 6,134,709 km (0.115 R)
  • M27: 6,383,640 km (0.068 R)
  • M28: 6,694,654 km (0.07 R)
  • M29: 7,150,329 km (0.064 R)
  • M30: 7,432,770 km (0.084 R)
  • M31: 7,534,646 km (0.108 R)
  • M32: 7,636,822 km (0.073 R)
  • M33: 7,801,379 km (0.119 R)
  • M34: 8,050,460 km (0.071 R)
  • M35: 8,155,029 km (0.09 R)
  • M36: 8,302,233 km (0.07 R)
  • M37: 8,450,185 km (0.099 R)
  • M38: 9,511,283 km (0.061 R)
  • M39: 9,599,695 km (0.088 R)
  • M40: 9,732,987 km (0.107 R)
  • M41: 9,889,167 km (0.108 R)
  • M42: 10,068,834 km (0.062 R)
  • M43: 10,522,565 km (0.062 R)
  • M44: 10,614,119 km (0.099 R)
  • M45: 10,913,464 km (0.102 R)
  • M46: 11,075,778 km (0.117 R)
  • M47: 11,356,124 km (0.108 R)
  • M48: 11,638,714 km (0.098 R)
  • M49: 11,780,832 km (0.08 R)
  • M50: 12,138,970 km (0.094 R)
  • M51: 12,452,078 km (0.098 R)
  • M52: 12,549,017 km (0.063 R)
  • M53: 12,694,875 km (0.066 R)
  • M54: 12,792,413 km (0.09 R)
  • M55: 13,012,771 km (0.115 R)
  • M56: 13,234,475 km (0.101 R)
  • M57: 13,407,709 km (0.066 R)
  • M58: 13,881,934 km (0.06 R)
  • M59: 14,590,729 km (0.092 R)
  • M60: 15,001,076 km (0.064 R)
  • M61: 15,676,062 km (0.076 R)
  • M62: 15,911,978 km (0.082 R)
  • M63: 16,202,048 km (0.098 R)
  • M64: 16,307,963 km (0.117 R)
  • M65: 16,440,656 km (0.07 R)
  • M66: 16,573,649 km (0.118 R)
  • M67: 16,867,609 km (0.068 R)
  • M68: 17,460,764 km (0.106 R)
  • M69: 17,623,826 km (0.098 R)
  • M70: 17,869,166 km (0.109 R)
  • M71: 18,473,841 km (0.115 R)

Planet 6 - Gas Giant

Semi-Major Axis: 5.46 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 828.4

Radius: 10.3

Gravity: 7.81 G

Time & Orbit

Eccentricity (e): 0.223

Orbit Range: 4.24 AU - 6.68 AU

Year: 8653 Days

Day: 13.2 Hours

Environment

Temp: -230 °C

Axial Tilt: 27.5 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (84)

Outer Limit: 66,305,660 km

  • M1: 161,117 km (0.101 R)
  • M2: 380,577 km (0.042 R)
  • M3: 498,011 km (0.088 R)
  • M4: 676,482 km (0.064 R)
  • M5: 842,086 km (0.083 R)
  • M6: 1,003,054 km (0.088 R)
  • M7: 1,154,896 km (0.1 R)
  • M8: 1,335,311 km (0.109 R)
  • M9: 1,525,150 km (0.053 R)
  • M10: 1,838,259 km (0.09 R)
  • M11: 2,098,709 km (0.111 R)
  • M12: 2,196,396 km (0.109 R)
  • M13: 3,227,574 km (0.063 R)
  • M14: 3,312,546 km (0.12 R)
  • M15: 3,958,060 km (0.079 R)
  • M16: 4,049,166 km (0.075 R)
  • M17: 4,578,443 km (0.078 R)
  • M18: 5,565,490 km (0.117 R)
  • M19: 5,633,557 km (0.114 R)
  • M20: 5,701,923 km (0.098 R)
  • M21: 5,978,230 km (0.1 R)
  • M22: 6,153,260 km (0.057 R)
  • M23: 6,833,631 km (0.119 R)
  • M24: 7,053,390 km (0.115 R)
  • M25: 8,265,133 km (0.1 R)
  • M26: 8,775,561 km (0.053 R)
  • M27: 8,854,997 km (0.114 R)
  • M28: 9,135,044 km (0.084 R)
  • M29: 9,621,836 km (0.117 R)
  • M30: 9,992,539 km (0.084 R)
  • M31: 10,832,980 km (0.111 R)
  • M32: 11,304,812 km (0.027 R)
  • M33: 11,783,525 km (0.092 R)
  • M34: 12,135,828 km (0.063 R)
  • M35: 13,031,620 km (0.098 R)
  • M36: 13,259,009 km (0.097 R)
  • M37: 13,763,752 km (0.095 R)
  • M38: 14,181,280 km (0.104 R)
  • M39: 14,368,277 km (0.06 R)
  • M40: 15,219,788 km (0.077 R)
  • M41: 15,748,168 km (0.087 R)
  • M42: 15,844,808 km (0.05 R)
  • M43: 16,038,837 km (0.118 R)
  • M44: 16,724,144 km (0.058 R)
  • M45: 17,169,796 km (0.072 R)
  • M46: 17,369,061 km (0.08 R)
  • M47: 18,377,201 km (0.09 R)
  • M48: 19,352,429 km (0.075 R)
  • M49: 19,820,222 km (0.111 R)
  • M50: 19,924,791 km (0.105 R)
  • M51: 20,186,737 km (0.1 R)
  • M52: 22,595,412 km (0.088 R)
  • M53: 22,759,222 km (0.036 R)
  • M54: 23,088,038 km (0.083 R)
  • M55: 23,694,807 km (0.059 R)
  • M56: 23,861,309 km (0.069 R)
  • M57: 24,642,958 km (0.065 R)
  • M58: 26,461,320 km (0.086 R)
  • M59: 26,691,701 km (0.102 R)
  • M60: 26,807,041 km (0.089 R)
  • M61: 27,038,319 km (0.108 R)
  • M62: 27,154,258 km (0.052 R)
  • M63: 27,386,583 km (0.119 R)
  • M64: 27,794,686 km (0.098 R)
  • M65: 28,087,449 km (0.056 R)
  • M66: 28,204,883 km (0.115 R)
  • M67: 28,499,142 km (0.113 R)
  • M68: 29,031,262 km (0.111 R)
  • M69: 31,557,671 km (0.067 R)
  • M70: 32,108,191 km (0.066 R)
  • M71: 33,032,706 km (0.079 R)
  • M72: 34,467,200 km (0.093 R)
  • M73: 34,718,823 km (0.116 R)
  • M74: 35,604,144 km (0.049 R)
  • M75: 37,526,027 km (0.082 R)
  • M76: 38,239,310 km (0.027 R)
  • M77: 38,369,460 km (0.111 R)
  • M78: 38,434,535 km (0.07 R)
  • M79: 40,273,093 km (0.092 R)
  • M80: 40,405,487 km (0.074 R)
  • M81: 41,069,702 km (0.046 R)
  • M82: 41,737,656 km (0.096 R)
  • M83: 43,423,026 km (0.037 R)
  • M84: 44,513,295 km (0.111 R)

Planet 7 - Ice Giant

Semi-Major Axis: 8.9 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 559.1

Radius: 5.6

Gravity: 17.83 G

Time & Orbit

Eccentricity (e): 0.191

Orbit Range: 7.2 AU - 10.6 AU

Year: 18008 Days

Day: 23.7 Hours

Environment

Temp: -230 °C

Axial Tilt: 35.3 °

Atmosphere: Hâ‚‚, CHâ‚„

Biome: None

Satellites (92)

Outer Limit: 66,305,660 km

  • M1: 75,547 km (0.05 R)
  • M2: 271,221 km (0.111 R)
  • M3: 315,951 km (0.112 R)
  • M4: 660,175 km (0.084 R)
  • M5: 810,222 km (0.059 R)
  • M6: 994,826 km (0.112 R)
  • M7: 1,740,122 km (0.114 R)
  • M8: 2,039,767 km (0.109 R)
  • M9: 2,686,479 km (0.072 R)
  • M10: 3,102,959 km (0.112 R)
  • M11: 3,210,221 km (0.091 R)
  • M12: 3,355,031 km (0.079 R)
  • M13: 3,764,780 km (0.047 R)
  • M14: 3,840,925 km (0.09 R)
  • M15: 4,428,546 km (0.083 R)
  • M16: 4,753,323 km (0.111 R)
  • M17: 5,993,938 km (0.098 R)
  • M18: 6,398,301 km (0.115 R)
  • M19: 6,997,889 km (0.111 R)
  • M20: 7,138,810 km (0.099 R)
  • M21: 7,185,934 km (0.092 R)
  • M22: 7,760,240 km (0.109 R)
  • M23: 8,749,680 km (0.066 R)
  • M24: 10,467,213 km (0.113 R)
  • M25: 11,171,670 km (0.044 R)
  • M26: 11,391,579 km (0.034 R)
  • M27: 11,891,385 km (0.086 R)
  • M28: 12,285,127 km (0.111 R)
  • M29: 12,341,824 km (0.095 R)
  • M30: 12,398,372 km (0.094 R)
  • M31: 12,512,067 km (0.094 R)
  • M32: 12,683,207 km (0.064 R)
  • M33: 12,740,353 km (0.116 R)
  • M34: 13,259,009 km (0.066 R)
  • M35: 14,020,462 km (0.106 R)
  • M36: 14,376,655 km (0.07 R)
  • M37: 14,976,841 km (0.09 R)
  • M38: 15,462,885 km (0.061 R)
  • M39: 17,331,362 km (0.093 R)
  • M40: 18,681,034 km (0.12 R)
  • M41: 18,941,933 km (0.065 R)
  • M42: 19,731,959 km (0.082 R)
  • M43: 20,331,398 km (0.042 R)
  • M44: 21,275,809 km (0.055 R)
  • M45: 21,616,593 km (0.111 R)
  • M46: 21,684,959 km (0.105 R)
  • M47: 21,753,475 km (0.067 R)
  • M48: 23,277,129 km (0.11 R)
  • M49: 24,978,356 km (0.109 R)
  • M50: 26,426,314 km (0.111 R)
  • M51: 26,792,530 km (0.076 R)
  • M52: 27,160,391 km (0.094 R)
  • M53: 27,234,143 km (0.064 R)
  • M54: 27,530,047 km (0.107 R)
  • M55: 29,175,923 km (0.114 R)
  • M56: 30,776,471 km (0.113 R)
  • M57: 31,316,220 km (0.088 R)
  • M58: 31,393,712 km (0.061 R)
  • M59: 31,471,054 km (0.107 R)
  • M60: 34,700,273 km (0.074 R)
  • M61: 35,021,011 km (0.074 R)
  • M62: 35,746,112 km (0.111 R)
  • M63: 35,907,827 km (0.102 R)
  • M64: 37,786,029 km (0.093 R)
  • M65: 38,033,314 km (0.091 R)
  • M66: 39,194,493 km (0.105 R)
  • M67: 39,695,795 km (0.043 R)
  • M68: 41,721,949 km (0.115 R)
  • M69: 42,062,882 km (0.038 R)
  • M70: 42,404,713 km (0.074 R)
  • M71: 42,661,722 km (0.025 R)
  • M72: 42,747,442 km (0.106 R)
  • M73: 42,919,180 km (0.075 R)
  • M74: 43,694,845 km (0.085 R)
  • M75: 46,137,629 km (0.056 R)
  • M76: 46,225,592 km (0.113 R)
  • M77: 47,197,979 km (0.119 R)
  • M78: 47,553,124 km (0.053 R)
  • M79: 47,731,145 km (0.052 R)
  • M80: 48,176,947 km (0.058 R)
  • M81: 48,982,980 km (0.032 R)
  • M82: 49,252,705 km (0.064 R)
  • M83: 49,703,145 km (0.093 R)
  • M84: 50,608,361 km (0.083 R)
  • M85: 53,541,228 km (0.084 R)
  • M86: 53,633,679 km (0.038 R)
  • M87: 56,246,406 km (0.082 R)
  • M88: 57,284,017 km (0.075 R)
  • M89: 61,013,641 km (0.097 R)
  • M90: 65,314,580 km (0.103 R)
  • M91: 65,809,450 km (0.115 R)
  • M92: 65,908,633 km (0.087 R)

Kuiper Belt

Range: 30 - 51 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 209 - 19,939 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit