🌌 Stone's Star System Generator

Asteroid Belt

Center: 0.27 AU

Composition

Type: Inner (Rocky/Metallic)

A dense region of planetesimals and debris.

Boundary

Planet 1 - Terrestrial

Semi-Major Axis: 0.54 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.24

Radius: 1.09

Gravity: 1.04 G

Time & Orbit

Eccentricity (e): 0.019

Orbit Range: 0.53 AU - 0.55 AU

Year: 252 Days

Day: 31.1 Hours

Environment

Temp: -125 °C

Axial Tilt: 42.4 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 2 - Gas Giant

Semi-Major Axis: 0.99 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 864.6

Radius: 10.2

Gravity: 8.31 G

Time & Orbit

Eccentricity (e): 0.021

Orbit Range: 0.97 AU - 1.01 AU

Year: 626 Days

Day: 10.4 Hours

Environment

Temp: -168 °C

Axial Tilt: 24.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (55)

Outer Limit: 75,305,849 km

• M1: 141,669 km (0.113 R)
• M2: 208,839 km (0.094 R)
• M3: 275,858 km (0.099 R)
• M4: 358,586 km (0.111 R)
• M5: 424,260 km (0.046 R)
• M6: 499,507 km (0.108 R)
• M7: 665,860 km (0.087 R)
• M8: 756,516 km (0.029 R)
• M9: 857,046 km (0.037 R)
• M10: 1,013,974 km (0.063 R)
• M11: 1,144,274 km (0.061 R)
• M12: 1,255,276 km (0.095 R)
• M13: 1,324,839 km (0.119 R)
• M14: 1,415,495 km (0.052 R)
• M15: 1,562,251 km (0.076 R)
• M16: 1,679,386 km (0.114 R)
• M17: 1,799,363 km (0.041 R)
• M18: 2,025,705 km (0.081 R)
• M19: 2,238,283 km (0.119 R)
• M20: 2,418,399 km (0.088 R)
• M21: 2,530,448 km (0.114 R)
• M22: 2,644,292 km (0.06 R)
• M23: 2,751,554 km (0.113 R)
• M24: 2,919,402 km (0.065 R)
• M25: 3,452,270 km (0.114 R)
• M26: 3,569,704 km (0.088 R)
• M27: 3,633,583 km (0.084 R)
• M28: 3,753,261 km (0.052 R)
• M29: 3,855,436 km (0.105 R)
• M30: 3,977,508 km (0.106 R)
• M31: 4,196,519 km (0.066 R)
• M32: 4,429,443 km (0.095 R)
• M33: 4,498,258 km (0.063 R)
• M34: 4,656,683 km (0.108 R)
• M35: 4,817,051 km (0.034 R)
• M36: 4,918,180 km (0.119 R)
• M37: 4,989,388 km (0.082 R)
• M38: 5,215,580 km (0.095 R)
• M39: 5,319,401 km (0.095 R)
• M40: 5,699,230 km (0.066 R)
• M41: 5,817,113 km (0.053 R)
• M42: 5,903,282 km (0.025 R)
• M43: 6,120,797 km (0.09 R)
• M44: 6,340,855 km (0.107 R)
• M45: 6,496,437 km (0.102 R)
• M46: 6,642,145 km (0.067 R)
• M47: 6,822,860 km (0.078 R)
• M48: 7,005,219 km (0.074 R)
• M49: 7,131,630 km (0.11 R)
• M50: 7,235,600 km (0.088 R)
• M51: 7,305,163 km (0.063 R)
• M52: 7,491,861 km (0.051 R)
• M53: 7,810,355 km (0.099 R)
• M54: 7,881,713 km (0.119 R)
• M55: 8,109,252 km (0.087 R)

Planet 3 - Gas Giant

Semi-Major Axis: 1.08 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 310.8

Radius: 8.1

Gravity: 4.74 G

Time & Orbit

Eccentricity (e): 0.193

Orbit Range: 0.87 AU - 1.29 AU

Year: 714 Days

Day: 13.8 Hours

Environment

Temp: -156 °C

Axial Tilt: 36.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (46)

Outer Limit: 75,305,849 km

• M1: 109,954 km (0.08 R)
• M2: 164,258 km (0.088 R)
• M3: 221,255 km (0.085 R)
• M4: 289,173 km (0.036 R)
• M5: 416,929 km (0.118 R)
• M6: 484,996 km (0.11 R)
• M7: 580,889 km (0.11 R)
• M8: 784,192 km (0.043 R)
• M9: 927,507 km (0.105 R)
• M10: 985,401 km (0.034 R)
• M11: 1,187,508 km (0.105 R)
• M12: 1,348,026 km (0.095 R)
• M13: 1,527,095 km (0.119 R)
• M14: 1,602,044 km (0.102 R)
• M15: 1,743,862 km (0.069 R)
• M16: 1,828,535 km (0.076 R)
• M17: 1,908,420 km (0.106 R)
• M18: 2,084,497 km (0.102 R)
• M19: 2,168,122 km (0.118 R)
• M20: 2,345,395 km (0.09 R)
• M21: 2,398,802 km (0.071 R)
• M22: 2,473,002 km (0.1 R)
• M23: 2,623,647 km (0.074 R)
• M24: 2,686,179 km (0.091 R)
• M25: 2,791,496 km (0.087 R)
• M26: 2,941,244 km (0.098 R)
• M27: 3,219,047 km (0.074 R)
• M28: 3,391,384 km (0.119 R)
• M29: 3,459,750 km (0.097 R)
• M30: 3,605,309 km (0.078 R)
• M31: 3,659,463 km (0.086 R)
• M32: 3,910,638 km (0.106 R)
• M33: 4,006,231 km (0.087 R)
• M34: 4,388,454 km (0.106 R)
• M35: 4,850,412 km (0.073 R)
• M36: 4,953,335 km (0.095 R)
• M37: 5,022,300 km (0.091 R)
• M38: 5,143,773 km (0.098 R)
• M39: 5,275,120 km (0.119 R)
• M40: 5,407,514 km (0.084 R)
• M41: 5,505,351 km (0.059 R)
• M42: 5,738,874 km (0.067 R)
• M43: 5,829,530 km (0.117 R)
• M44: 5,975,687 km (0.089 R)
• M45: 6,030,739 km (0.115 R)
• M46: 6,095,216 km (0.068 R)

Planet 4 - Gas Giant

Semi-Major Axis: 2.32 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 205.1

Radius: 10.5

Gravity: 1.86 G

Time & Orbit

Eccentricity (e): 0.055

Orbit Range: 2.19 AU - 2.45 AU

Year: 2247 Days

Day: 9.5 Hours

Environment

Temp: -193 °C

Axial Tilt: 24.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (62)

Outer Limit: 75,305,849 km

• M1: 137,480 km (0.096 R)
• M2: 207,343 km (0.083 R)
• M3: 307,124 km (0.091 R)
• M4: 410,796 km (0.108 R)
• M5: 479,162 km (0.103 R)
• M6: 558,150 km (0.083 R)
• M7: 718,369 km (0.077 R)
• M8: 981,362 km (0.104 R)
• M9: 1,055,712 km (0.042 R)
• M10: 1,163,273 km (0.117 R)
• M11: 1,266,645 km (0.068 R)
• M12: 1,381,536 km (0.113 R)
• M13: 1,491,491 km (0.085 R)
• M14: 1,569,431 km (0.049 R)
• M15: 1,675,496 km (0.091 R)
• M16: 1,989,502 km (0.03 R)
• M17: 2,104,842 km (0.043 R)
• M18: 2,183,082 km (0.119 R)
• M19: 2,443,980 km (0.107 R)
• M20: 2,526,409 km (0.116 R)
• M21: 2,683,337 km (0.039 R)
• M22: 2,800,622 km (0.09 R)
• M23: 2,876,169 km (0.1 R)
• M24: 3,129,139 km (0.051 R)
• M25: 3,366,550 km (0.066 R)
• M26: 3,739,797 km (0.113 R)
• M27: 3,991,870 km (0.087 R)
• M28: 4,138,475 km (0.11 R)
• M29: 4,487,637 km (0.076 R)
• M30: 4,717,120 km (0.109 R)
• M31: 4,820,343 km (0.068 R)
• M32: 5,081,840 km (0.053 R)
• M33: 5,187,755 km (0.083 R)
• M34: 5,401,830 km (0.109 R)
• M35: 5,537,066 km (0.063 R)
• M36: 6,075,469 km (0.103 R)
• M37: 6,145,630 km (0.086 R)
• M38: 6,443,629 km (0.081 R)
• M39: 6,630,626 km (0.043 R)
• M40: 6,717,393 km (0.11 R)
• M41: 6,804,609 km (0.064 R)
• M42: 7,024,518 km (0.118 R)
• M43: 7,113,080 km (0.108 R)
• M44: 7,336,130 km (0.102 R)
• M45: 7,426,038 km (0.08 R)
• M46: 7,911,483 km (0.102 R)
• M47: 8,065,420 km (0.08 R)
• M48: 8,189,287 km (0.069 R)
• M49: 8,266,928 km (0.066 R)
• M50: 8,485,939 km (0.084 R)
• M51: 8,611,751 km (0.105 R)
• M52: 8,754,318 km (0.104 R)
• M53: 8,913,490 km (0.094 R)
• M54: 9,250,983 km (0.072 R)
• M55: 9,822,746 km (0.118 R)
• M56: 10,087,983 km (0.1 R)
• M57: 10,154,703 km (0.1 R)
• M58: 10,608,583 km (0.092 R)
• M59: 10,846,594 km (0.028 R)
• M60: 11,034,788 km (0.079 R)
• M61: 11,362,557 km (0.089 R)
• M62: 11,658,461 km (0.103 R)

Planet 5 - Gas Giant

Semi-Major Axis: 3.49 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 663.3

Radius: 11.7

Gravity: 4.85 G

Time & Orbit

Eccentricity (e): 0.227

Orbit Range: 2.7 AU - 4.28 AU

Year: 4145 Days

Day: 12.8 Hours

Environment

Temp: -202 °C

Axial Tilt: 2.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (72)

Outer Limit: 75,305,849 km

• M1: 160,818 km (0.068 R)
• M2: 412,591 km (0.091 R)
• M3: 511,774 km (0.113 R)
• M4: 683,961 km (0.1 R)
• M5: 772,523 km (0.099 R)
• M6: 877,092 km (0.073 R)
• M7: 949,946 km (0.106 R)
• M8: 1,318,107 km (0.099 R)
• M9: 1,460,524 km (0.097 R)
• M10: 1,608,177 km (0.116 R)
• M11: 1,776,624 km (0.058 R)
• M12: 2,032,137 km (0.054 R)
• M13: 2,164,532 km (0.096 R)
• M14: 2,299,768 km (0.042 R)
• M15: 2,508,158 km (0.114 R)
• M16: 2,704,730 km (0.07 R)
• M17: 2,795,835 km (0.042 R)
• M18: 3,113,281 km (0.108 R)
• M19: 3,305,664 km (0.041 R)
• M20: 4,113,642 km (0.091 R)
• M21: 4,282,538 km (0.105 R)
• M22: 4,540,146 km (0.1 R)
• M23: 4,980,861 km (0.072 R)
• M24: 5,229,194 km (0.11 R)
• M25: 5,343,486 km (0.074 R)
• M26: 5,738,126 km (0.108 R)
• M27: 5,927,217 km (0.08 R)
• M28: 6,070,382 km (0.068 R)
• M29: 6,828,245 km (0.089 R)
• M30: 7,053,988 km (0.098 R)
• M31: 7,797,939 km (0.119 R)
• M32: 8,060,184 km (0.115 R)
• M33: 8,701,809 km (0.085 R)
• M34: 9,554,816 km (0.096 R)
• M35: 9,666,715 km (0.06 R)
• M36: 10,607,536 km (0.111 R)
• M37: 11,044,811 km (0.109 R)
• M38: 11,133,074 km (0.105 R)
• M39: 11,846,805 km (0.087 R)
• M40: 12,057,888 km (0.076 R)
• M41: 12,239,799 km (0.111 R)
• M42: 12,331,053 km (0.039 R)
• M43: 12,759,950 km (0.097 R)
• M44: 12,945,302 km (0.106 R)
• M45: 13,193,934 km (0.106 R)
• M46: 13,885,525 km (0.072 R)
• M47: 15,238,488 km (0.076 R)
• M48: 15,599,767 km (0.06 R)
• M49: 16,431,531 km (0.111 R)
• M50: 16,599,529 km (0.115 R)
• M51: 17,073,156 km (0.093 R)
• M52: 17,585,678 km (0.094 R)
• M53: 17,688,751 km (0.094 R)
• M54: 19,117,860 km (0.11 R)
• M55: 19,792,546 km (0.09 R)
• M56: 19,935,711 km (0.091 R)
• M57: 20,150,833 km (0.067 R)
• M58: 20,439,108 km (0.097 R)
• M59: 21,165,556 km (0.119 R)
• M60: 21,275,211 km (0.071 R)
• M61: 21,495,269 km (0.078 R)
• M62: 21,715,926 km (0.063 R)
• M63: 22,122,533 km (0.087 R)
• M64: 23,056,173 km (0.082 R)
• M65: 23,357,613 km (0.094 R)
• M66: 24,193,267 km (0.097 R)
• M67: 24,269,711 km (0.093 R)
• M68: 24,461,346 km (0.064 R)
• M69: 24,807,217 km (0.097 R)
• M70: 25,077,540 km (0.082 R)
• M71: 25,154,882 km (0.1 R)
• M72: 26,325,336 km (0.09 R)

Planet 6 - Ice Giant

Semi-Major Axis: 8.81 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 282.8

Radius: 3

Gravity: 31.42 G

Time & Orbit

Eccentricity (e): 0.03

Orbit Range: 8.55 AU - 9.07 AU

Year: 16626 Days

Day: 20 Hours

Environment

Temp: -231 °C

Axial Tilt: 2.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (93)

Outer Limit: 75,305,849 km

• M1: 94,995 km (0.079 R)
• M2: 178,919 km (0.027 R)
• M3: 211,831 km (0.03 R)
• M4: 297,401 km (0.078 R)
• M5: 866,770 km (0.114 R)
• M6: 1,024,596 km (0.07 R)
• M7: 1,148,762 km (0.07 R)
• M8: 1,255,874 km (0.076 R)
• M9: 1,299,706 km (0.09 R)
• M10: 1,456,934 km (0.115 R)
• M11: 1,502,860 km (0.117 R)
• M12: 1,549,385 km (0.053 R)
• M13: 1,716,037 km (0.048 R)
• M14: 1,789,191 km (0.112 R)
• M15: 2,222,875 km (0.105 R)
• M16: 2,492,600 km (0.065 R)
• M17: 2,603,302 km (0.117 R)
• M18: 2,631,277 km (0.114 R)
• M19: 2,687,376 km (0.072 R)
• M20: 3,121,360 km (0.09 R)
• M21: 3,422,650 km (0.111 R)
• M22: 3,453,317 km (0.098 R)
• M23: 3,607,852 km (0.113 R)
• M24: 3,891,639 km (0.111 R)
• M25: 4,314,253 km (0.109 R)
• M26: 4,447,246 km (0.098 R)
• M27: 5,666,767 km (0.096 R)
• M28: 5,812,476 km (0.045 R)
• M29: 6,294,031 km (0.119 R)
• M30: 6,520,672 km (0.108 R)
• M31: 6,634,965 km (0.093 R)
• M32: 7,137,913 km (0.115 R)
• M33: 7,294,991 km (0.05 R)
• M34: 7,533,001 km (0.052 R)
• M35: 7,652,978 km (0.081 R)
• M36: 8,261,991 km (0.052 R)
• M37: 8,385,709 km (0.086 R)
• M38: 10,803,958 km (0.102 R)
• M39: 13,322,289 km (0.082 R)
• M40: 13,370,609 km (0.102 R)
• M41: 13,612,957 km (0.095 R)
• M42: 14,348,381 km (0.12 R)
• M43: 14,447,414 km (0.063 R)
• M44: 16,062,623 km (0.11 R)
• M45: 16,320,081 km (0.092 R)
• M46: 16,839,185 km (0.108 R)
• M47: 17,840,294 km (0.095 R)
• M48: 18,160,434 km (0.038 R)
• M49: 19,405,088 km (0.116 R)
• M50: 21,013,115 km (0.065 R)
• M51: 21,125,613 km (0.039 R)
• M52: 21,520,850 km (0.085 R)
• M53: 22,146,768 km (0.094 R)
• M54: 22,433,397 km (0.116 R)
• M55: 23,358,361 km (0.059 R)
• M56: 23,591,584 km (0.104 R)
• M57: 24,354,833 km (0.071 R)
• M58: 24,650,588 km (0.038 R)
• M59: 25,185,849 km (0.062 R)
• M60: 25,664,861 km (0.073 R)
• M61: 26,328,477 km (0.102 R)
• M62: 28,104,653 km (0.115 R)
• M63: 28,476,852 km (0.037 R)
• M64: 28,850,847 km (0.068 R)
• M65: 29,226,338 km (0.034 R)
• M66: 29,855,995 km (0.106 R)
• M67: 31,964,876 km (0.096 R)
• M68: 32,678,308 km (0.104 R)
• M69: 32,808,608 km (0.117 R)
• M70: 33,069,806 km (0.095 R)
• M71: 33,528,473 km (0.052 R)
• M72: 33,725,643 km (0.082 R)
• M73: 33,923,262 km (0.076 R)
• M74: 34,850,320 km (0.058 R)
• M75: 35,584,696 km (0.064 R)
• M76: 36,256,690 km (0.105 R)
• M77: 36,661,801 km (0.119 R)
• M78: 36,729,419 km (0.065 R)
• M79: 37,136,475 km (0.026 R)
• M80: 37,476,660 km (0.05 R)
• M81: 37,544,877 km (0.082 R)
• M82: 38,228,838 km (0.099 R)
• M83: 38,297,504 km (0.087 R)
• M84: 39,956,843 km (0.115 R)
• M85: 41,922,111 km (0.091 R)
• M86: 43,059,204 km (0.114 R)
• M87: 43,631,565 km (0.103 R)
• M88: 44,422,639 km (0.046 R)
• M89: 45,363,759 km (0.069 R)
• M90: 46,384,465 km (0.089 R)
• M91: 48,300,066 km (0.105 R)
• M92: 48,671,368 km (0.093 R)
• M93: 49,043,717 km (0.114 R)

Planet 7 - Ice Giant

Semi-Major Axis: 8.89 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 935.2

Radius: 4.7

Gravity: 42.34 G

Time & Orbit

Eccentricity (e): 0.031

Orbit Range: 8.61 AU - 9.17 AU

Year: 16853 Days

Day: 22.9 Hours

Environment

Temp: -218 °C

Axial Tilt: 37.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (94)

Outer Limit: 75,305,849 km

• M1: 60,886 km (0.065 R)
• M2: 509,530 km (0.097 R)
• M3: 660,475 km (0.09 R)
• M4: 752,926 km (0.109 R)
• M5: 825,182 km (0.097 R)
• M6: 1,248,394 km (0.12 R)
• M7: 1,451,997 km (0.074 R)
• M8: 2,366,938 km (0.113 R)
• M9: 2,993,005 km (0.061 R)
• M10: 3,147,390 km (0.075 R)
• M11: 3,504,330 km (0.083 R)
• M12: 3,585,412 km (0.076 R)
• M13: 3,667,093 km (0.114 R)
• M14: 3,832,398 km (0.117 R)
• M15: 3,958,060 km (0.094 R)
• M16: 4,473,724 km (0.119 R)
• M17: 4,517,706 km (0.051 R)
• M18: 4,829,169 km (0.04 R)
• M19: 5,010,332 km (0.045 R)
• M20: 5,520,012 km (0.098 R)
• M21: 6,045,998 km (0.113 R)
• M22: 6,890,029 km (0.08 R)
• M23: 6,991,756 km (0.09 R)
• M24: 7,093,931 km (0.083 R)
• M25: 7,248,166 km (0.108 R)
• M26: 7,770,263 km (0.085 R)
• M27: 7,876,178 km (0.038 R)
• M28: 8,685,503 km (0.051 R)
• M29: 8,795,308 km (0.089 R)
• M30: 9,408,060 km (0.055 R)
• M31: 9,862,240 km (0.116 R)
• M32: 10,791,841 km (0.092 R)
• M33: 10,850,782 km (0.096 R)
• M34: 10,910,023 km (0.097 R)
• M35: 11,870,591 km (0.107 R)
• M36: 12,484,690 km (0.029 R)
• M37: 12,670,940 km (0.066 R)
• M38: 12,733,322 km (0.109 R)
• M39: 14,845,046 km (0.109 R)
• M40: 15,639,410 km (0.103 R)
• M41: 16,244,234 km (0.1 R)
• M42: 17,546,035 km (0.098 R)
• M43: 18,455,889 km (0.111 R)
• M44: 19,309,196 km (0.063 R)
• M45: 20,759,996 km (0.026 R)
• M46: 21,498,411 km (0.107 R)
• M47: 22,320,601 km (0.095 R)
• M48: 22,773,284 km (0.111 R)
• M49: 23,534,737 km (0.06 R)
• M50: 30,667,563 km (0.049 R)
• M51: 31,338,959 km (0.052 R)
• M52: 31,507,556 km (0.078 R)
• M53: 32,270,205 km (0.091 R)
• M54: 33,124,559 km (0.107 R)
• M55: 33,554,503 km (0.104 R)
• M56: 34,768,340 km (0.073 R)
• M57: 35,644,086 km (0.09 R)
• M58: 36,704,586 km (0.082 R)
• M59: 36,793,297 km (0.059 R)
• M60: 39,947,419 km (0.06 R)
• M61: 41,048,609 km (0.106 R)
• M62: 41,140,910 km (0.084 R)
• M63: 42,532,320 km (0.105 R)
• M64: 42,999,664 km (0.095 R)
• M65: 43,656,698 km (0.082 R)
• M66: 44,127,931 km (0.09 R)
• M67: 45,456,659 km (0.045 R)
• M68: 46,125,960 km (0.115 R)
• M69: 47,764,805 km (0.09 R)
• M70: 48,835,327 km (0.115 R)
• M71: 49,618,921 km (0.056 R)
• M72: 52,094,167 km (0.084 R)
• M73: 52,794,435 km (0.061 R)
• M74: 52,995,046 km (0.075 R)
• M75: 53,195,956 km (0.11 R)
• M76: 53,800,181 km (0.116 R)
• M77: 56,035,024 km (0.107 R)
• M78: 57,679,254 km (0.044 R)
• M79: 58,092,892 km (0.095 R)
• M80: 58,611,099 km (0.106 R)
• M81: 59,652,450 km (0.06 R)
• M82: 60,384,881 km (0.115 R)
• M83: 62,918,770 km (0.058 R)
• M84: 64,305,842 km (0.085 R)
• M85: 64,627,327 km (0.044 R)
• M86: 64,842,000 km (0.095 R)
• M87: 65,164,384 km (0.036 R)
• M88: 66,675,921 km (0.087 R)
• M89: 68,308,183 km (0.087 R)
• M90: 68,964,768 km (0.052 R)
• M91: 69,513,493 km (0.076 R)
• M92: 70,725,834 km (0.106 R)
• M93: 71,501,050 km (0.072 R)
• M94: 72,948,110 km (0.042 R)

Kuiper Belt

Range: 30 - 49 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 391 - 15,484 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit