🌌 Stone's Star System Generator

Planet 1 - Gas Giant

Semi-Major Axis: 0.93 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 421.3

Radius: 15

Gravity: 1.87 G

Time & Orbit

Eccentricity (e): 0.095

Orbit Range: 0.84 AU - 1.02 AU

Year: 598 Days

Day: 10 Hours

Environment

Temp: -167 °C

Axial Tilt: 41.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (40)

Outer Limit: 15,810,202 km

• M1: 188,643 km (0.11 R)
• M2: 282,142 km (0.047 R)
• M3: 392,246 km (0.074 R)
• M4: 489,783 km (0.025 R)
• M5: 599,289 km (0.114 R)
• M6: 703,260 km (0.116 R)
• M7: 827,725 km (0.117 R)
• M8: 1,049,130 km (0.083 R)
• M9: 1,205,160 km (0.092 R)
• M10: 1,332,917 km (0.061 R)
• M11: 1,428,061 km (0.088 R)
• M12: 1,603,091 km (0.104 R)
• M13: 1,710,652 km (0.099 R)
• M14: 1,826,740 km (0.037 R)
• M15: 1,975,739 km (0.086 R)
• M16: 2,079,410 km (0.093 R)
• M17: 2,197,593 km (0.106 R)
• M18: 2,350,332 km (0.108 R)
• M19: 2,559,620 km (0.049 R)
• M20: 2,754,845 km (0.054 R)
• M21: 3,039,380 km (0.108 R)
• M22: 3,146,043 km (0.1 R)
• M23: 3,525,423 km (0.119 R)
• M24: 3,865,759 km (0.097 R)
• M25: 3,973,918 km (0.106 R)
• M26: 4,114,540 km (0.084 R)
• M27: 4,440,962 km (0.108 R)
• M28: 4,554,358 km (0.111 R)
• M29: 4,726,395 km (0.052 R)
• M30: 4,909,054 km (0.058 R)
• M31: 5,009,584 km (0.069 R)
• M32: 5,144,820 km (0.101 R)
• M33: 5,255,672 km (0.116 R)
• M34: 5,349,919 km (0.035 R)
• M35: 5,566,686 km (0.069 R)
• M36: 5,680,381 km (0.051 R)
• M37: 5,786,146 km (0.117 R)
• M38: 5,919,289 km (0.087 R)
• M39: 6,017,574 km (0.105 R)
• M40: 6,116,459 km (0.109 R)

Planet 2 - Gas Giant

Semi-Major Axis: 1.73 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 208.3

Radius: 11.6

Gravity: 1.55 G

Time & Orbit

Eccentricity (e): 0.187

Orbit Range: 1.41 AU - 2.05 AU

Year: 1517 Days

Day: 10.5 Hours

Environment

Temp: -206 °C

Axial Tilt: 10.1 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (53)

Outer Limit: 15,810,202 km

• M1: 144,512 km (0.067 R)
• M2: 224,696 km (0.109 R)
• M3: 311,463 km (0.093 R)
• M4: 408,552 km (0.097 R)
• M5: 519,404 km (0.045 R)
• M6: 721,959 km (0.083 R)
• M7: 897,737 km (0.085 R)
• M8: 1,238,820 km (0.083 R)
• M9: 1,347,727 km (0.089 R)
• M10: 1,517,521 km (0.098 R)
• M11: 1,933,552 km (0.099 R)
• M12: 2,045,302 km (0.068 R)
• M13: 2,159,146 km (0.072 R)
• M14: 2,275,234 km (0.091 R)
• M15: 2,401,943 km (0.054 R)
• M16: 2,505,016 km (0.106 R)
• M17: 2,583,406 km (0.104 R)
• M18: 2,859,713 km (0.045 R)
• M19: 2,996,894 km (0.113 R)
• M20: 3,127,044 km (0.037 R)
• M21: 3,202,292 km (0.117 R)
• M22: 3,383,305 km (0.115 R)
• M23: 3,470,222 km (0.082 R)
• M24: 3,577,633 km (0.063 R)
• M25: 3,845,862 km (0.106 R)
• M26: 3,997,704 km (0.062 R)
• M27: 4,265,783 km (0.089 R)
• M28: 4,465,496 km (0.075 R)
• M29: 4,700,515 km (0.084 R)
• M30: 4,819,595 km (0.113 R)
• M31: 4,939,722 km (0.066 R)
• M32: 5,430,253 km (0.03 R)
• M33: 5,635,501 km (0.091 R)
• M34: 5,843,293 km (0.077 R)
• M35: 6,006,654 km (0.118 R)
• M36: 6,195,147 km (0.046 R)
• M37: 6,397,703 km (0.109 R)
• M38: 6,723,975 km (0.093 R)
• M39: 6,809,396 km (0.073 R)
• M40: 7,055,634 km (0.103 R)
• M41: 7,217,349 km (0.112 R)
• M42: 7,355,129 km (0.053 R)
• M43: 7,443,242 km (0.078 R)
• M44: 7,633,231 km (0.12 R)
• M45: 7,722,392 km (0.068 R)
• M46: 7,901,909 km (0.092 R)
• M47: 8,044,027 km (0.109 R)
• M48: 8,252,118 km (0.032 R)
• M49: 8,435,674 km (0.103 R)
• M50: 8,713,478 km (0.105 R)
• M51: 8,954,181 km (0.112 R)
• M52: 9,034,814 km (0.112 R)
• M53: 9,142,823 km (0.084 R)

Planet 3 - Gas Giant

Semi-Major Axis: 2.06 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 618.4

Radius: 9.1

Gravity: 7.47 G

Time & Orbit

Eccentricity (e): 0.181

Orbit Range: 1.69 AU - 2.43 AU

Year: 1972 Days

Day: 13.9 Hours

Environment

Temp: -211 °C

Axial Tilt: 13.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (73)

Outer Limit: 15,810,202 km

• M1: 120,426 km (0.099 R)
• M2: 287,378 km (0.027 R)
• M3: 383,419 km (0.053 R)
• M4: 697,126 km (0.117 R)
• M5: 843,433 km (0.11 R)
• M6: 911,949 km (0.11 R)
• M7: 991,235 km (0.038 R)
• M8: 1,157,439 km (0.083 R)
• M9: 1,263,504 km (0.075 R)
• M10: 1,393,355 km (0.093 R)
• M11: 1,688,062 km (0.074 R)
• M12: 1,776,026 km (0.096 R)
• M13: 1,979,479 km (0.109 R)
• M14: 2,095,866 km (0.096 R)
• M15: 2,673,314 km (0.095 R)
• M16: 2,737,491 km (0.105 R)
• M17: 2,815,282 km (0.093 R)
• M18: 3,026,515 km (0.098 R)
• M19: 3,188,379 km (0.112 R)
• M20: 3,284,122 km (0.064 R)
• M21: 3,492,512 km (0.096 R)
• M22: 3,591,246 km (0.079 R)
• M23: 3,662,455 km (0.069 R)
• M24: 4,010,420 km (0.059 R)
• M25: 4,099,131 km (0.098 R)
• M26: 4,323,678 km (0.092 R)
• M27: 4,521,596 km (0.115 R)
• M28: 4,583,080 km (0.054 R)
• M29: 4,706,947 km (0.087 R)
• M30: 4,847,719 km (0.065 R)
• M31: 5,021,552 km (0.051 R)
• M32: 5,165,465 km (0.105 R)
• M33: 5,229,792 km (0.109 R)
• M34: 5,391,806 km (0.115 R)
• M35: 5,654,650 km (0.075 R)
• M36: 6,364,492 km (0.114 R)
• M37: 6,555,079 km (0.06 R)
• M38: 6,624,792 km (0.037 R)
• M39: 6,747,462 km (0.099 R)
• M40: 6,853,228 km (0.085 R)
• M41: 7,173,816 km (0.093 R)
• M42: 7,263,874 km (0.108 R)
• M43: 7,462,989 km (0.108 R)
• M44: 7,590,746 km (0.11 R)
• M45: 8,071,553 km (0.117 R)
• M46: 8,410,093 km (0.089 R)
• M47: 8,543,086 km (0.111 R)
• M48: 8,695,825 km (0.098 R)
• M49: 8,772,569 km (0.065 R)
• M50: 9,004,146 km (0.087 R)
• M51: 9,062,489 km (0.03 R)
• M52: 9,296,610 km (0.04 R)
• M53: 9,355,402 km (0.116 R)
• M54: 9,810,778 km (0.026 R)
• M55: 10,010,940 km (0.082 R)
• M56: 10,334,071 km (0.091 R)
• M57: 10,496,983 km (0.05 R)
• M58: 10,722,278 km (0.082 R)
• M59: 11,324,110 km (0.095 R)
• M60: 11,513,202 km (0.108 R)
• M61: 11,618,668 km (0.087 R)
• M62: 11,703,191 km (0.105 R)
• M63: 12,430,536 km (0.116 R)
• M64: 13,018,605 km (0.101 R)
• M65: 13,437,928 km (0.079 R)
• M66: 13,526,639 km (0.1 R)
• M67: 14,108,874 km (0.094 R)
• M68: 14,585,044 km (0.119 R)
• M69: 14,744,965 km (0.036 R)
• M70: 14,882,445 km (0.062 R)
• M71: 14,997,486 km (0.117 R)
• M72: 15,135,714 km (0.091 R)
• M73: 15,576,579 km (0.106 R)

Planet 4 - Gas Giant

Semi-Major Axis: 2.07 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 733.1

Radius: 13

Gravity: 4.34 G

Time & Orbit

Eccentricity (e): 0.147

Orbit Range: 1.77 AU - 2.37 AU

Year: 1986 Days

Day: 10.2 Hours

Environment

Temp: -208 °C

Axial Tilt: 0.3 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (69)

Outer Limit: 15,810,202 km

• M1: 162,164 km (0.057 R)
• M2: 319,391 km (0.098 R)
• M3: 461,210 km (0.107 R)
• M4: 549,772 km (0.104 R)
• M5: 668,702 km (0.03 R)
• M6: 848,669 km (0.12 R)
• M7: 963,410 km (0.071 R)
• M8: 1,279,511 km (0.06 R)
• M9: 1,413,401 km (0.08 R)
• M10: 1,498,223 km (0.071 R)
• M11: 1,595,910 km (0.073 R)
• M12: 1,718,281 km (0.05 R)
• M13: 1,961,078 km (0.118 R)
• M14: 2,129,226 km (0.12 R)
• M15: 2,264,912 km (0.025 R)
• M16: 2,390,873 km (0.068 R)
• M17: 2,729,563 km (0.118 R)
• M18: 3,111,636 km (0.038 R)
• M19: 3,223,984 km (0.12 R)
• M20: 3,366,401 km (0.08 R)
• M21: 3,569,405 km (0.066 R)
• M22: 3,866,357 km (0.109 R)
• M23: 3,987,531 km (0.119 R)
• M24: 4,110,052 km (0.068 R)
• M25: 4,500,802 km (0.116 R)
• M26: 4,724,899 km (0.067 R)
• M27: 4,936,281 km (0.069 R)
• M28: 5,134,349 km (0.095 R)
• M29: 5,284,545 km (0.118 R)
• M30: 5,419,482 km (0.09 R)
• M31: 5,761,463 km (0.103 R)
• M32: 5,987,655 km (0.112 R)
• M33: 6,575,126 km (0.117 R)
• M34: 6,738,486 km (0.053 R)
• M35: 6,848,142 km (0.068 R)
• M36: 7,236,947 km (0.104 R)
• M37: 7,690,079 km (0.08 R)
• M38: 7,978,054 km (0.091 R)
• M39: 8,133,038 km (0.097 R)
• M40: 8,269,471 km (0.049 R)
• M41: 8,564,628 km (0.109 R)
• M42: 8,923,214 km (0.079 R)
• M43: 9,144,918 km (0.118 R)
• M44: 10,555,177 km (0.081 R)
• M45: 10,789,746 km (0.101 R)
• M46: 11,025,961 km (0.116 R)
• M47: 11,133,971 km (0.102 R)
• M48: 11,613,133 km (0.067 R)
• M49: 11,855,332 km (0.093 R)
• M50: 11,943,894 km (0.103 R)
• M51: 12,255,207 km (0.118 R)
• M52: 12,344,667 km (0.112 R)
• M53: 12,659,570 km (0.031 R)
• M54: 12,772,666 km (0.073 R)
• M55: 12,908,800 km (0.102 R)
• M56: 13,182,714 km (0.111 R)
• M57: 13,620,138 km (0.063 R)
• M58: 13,828,977 km (0.11 R)
• M59: 14,015,525 km (0.103 R)
• M60: 14,414,952 km (0.115 R)
• M61: 14,580,407 km (0.058 R)
• M62: 14,770,247 km (0.105 R)
• M63: 14,961,133 km (0.098 R)
• M64: 15,176,704 km (0.078 R)
• M65: 15,272,746 km (0.091 R)
• M66: 15,393,322 km (0.119 R)
• M67: 16,122,761 km (0.066 R)
• M68: 16,319,183 km (0.095 R)
• M69: 16,664,904 km (0.088 R)

Planet 5 - Gas Giant

Semi-Major Axis: 2.19 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 596.9

Radius: 13.5

Gravity: 3.28 G

Time & Orbit

Eccentricity (e): 0.058

Orbit Range: 2.06 AU - 2.32 AU

Year: 2161 Days

Day: 8.4 Hours

Environment

Temp: -204 °C

Axial Tilt: 2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (70)

Outer Limit: 15,810,202 km

• M1: 217,515 km (0.117 R)
• M2: 372,648 km (0.076 R)
• M3: 457,321 km (0.115 R)
• M4: 723,156 km (0.11 R)
• M5: 812,616 km (0.073 R)
• M6: 1,222,215 km (0.119 R)
• M7: 1,332,019 km (0.075 R)
• M8: 1,424,621 km (0.108 R)
• M9: 1,594,863 km (0.074 R)
• M10: 1,783,506 km (0.048 R)
• M11: 1,991,596 km (0.1 R)
• M12: 2,147,029 km (0.089 R)
• M13: 2,508,607 km (0.071 R)
• M14: 2,611,829 km (0.058 R)
• M15: 2,729,862 km (0.087 R)
• M16: 2,903,395 km (0.032 R)
• M17: 3,094,432 km (0.115 R)
• M18: 3,261,682 km (0.043 R)
• M19: 3,475,009 km (0.094 R)
• M20: 3,930,684 km (0.113 R)
• M21: 4,112,146 km (0.043 R)
• M22: 4,250,225 km (0.114 R)
• M23: 4,499,455 km (0.054 R)
• M24: 4,801,792 km (0.066 R)
• M25: 4,931,195 km (0.073 R)
• M26: 5,077,950 km (0.061 R)
• M27: 5,226,351 km (0.077 R)
• M28: 5,326,133 km (0.09 R)
• M29: 5,476,928 km (0.079 R)
• M30: 5,646,123 km (0.116 R)
• M31: 6,059,462 km (0.053 R)
• M32: 6,199,485 km (0.097 R)
• M33: 6,287,599 km (0.114 R)
• M34: 6,662,042 km (0.089 R)
• M35: 6,770,351 km (0.116 R)
• M36: 7,117,268 km (0.114 R)
• M37: 7,265,221 km (0.058 R)
• M38: 7,376,671 km (0.095 R)
• M39: 7,507,569 km (0.11 R)
• M40: 7,658,214 km (0.107 R)
• M41: 8,077,387 km (0.108 R)
• M42: 8,251,071 km (0.096 R)
• M43: 8,348,160 km (0.083 R)
• M44: 8,602,177 km (0.104 R)
• M45: 9,158,232 km (0.103 R)
• M46: 9,420,328 km (0.056 R)
• M47: 9,766,946 km (0.117 R)
• M48: 10,367,880 km (0.11 R)
• M49: 10,620,102 km (0.117 R)
• M50: 10,704,625 km (0.11 R)
• M51: 10,810,541 km (0.075 R)
• M52: 11,002,175 km (0.103 R)
• M53: 11,388,886 km (0.117 R)
• M54: 11,758,093 km (0.102 R)
• M55: 11,889,440 km (0.033 R)
• M56: 12,508,626 km (0.073 R)
• M57: 12,642,666 km (0.113 R)
• M58: 13,025,038 km (0.087 R)
• M59: 13,479,965 km (0.09 R)
• M60: 13,778,413 km (0.114 R)
• M61: 13,893,753 km (0.118 R)
• M62: 14,009,392 km (0.034 R)
• M63: 14,102,292 km (0.089 R)
• M64: 14,218,530 km (0.091 R)
• M65: 14,569,337 km (0.102 R)
• M66: 15,207,820 km (0.066 R)
• M67: 15,662,747 km (0.113 R)
• M68: 15,783,174 km (0.099 R)
• M69: 16,049,308 km (0.095 R)
• M70: 16,195,166 km (0.103 R)

Planet 6 - Gas Giant

Semi-Major Axis: 3.19 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 601.3

Radius: 10.8

Gravity: 5.16 G

Time & Orbit

Eccentricity (e): 0.084

Orbit Range: 2.92 AU - 3.46 AU

Year: 3799 Days

Day: 7.2 Hours

Environment

Temp: -204 °C

Axial Tilt: 48.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (75)

Outer Limit: 15,810,202 km

• M1: 169,794 km (0.073 R)
• M2: 264,938 km (0.085 R)
• M3: 512,822 km (0.028 R)
• M4: 868,864 km (0.117 R)
• M5: 1,167,013 km (0.047 R)
• M6: 1,308,682 km (0.051 R)
• M7: 1,442,572 km (0.11 R)
• M8: 1,511,238 km (0.076 R)
• M9: 1,753,586 km (0.106 R)
• M10: 1,917,097 km (0.102 R)
• M11: 2,070,285 km (0.053 R)
• M12: 2,227,662 km (0.12 R)
• M13: 2,356,466 km (0.09 R)
• M14: 2,471,207 km (0.107 R)
• M15: 2,571,139 km (0.108 R)
• M16: 2,638,607 km (0.084 R)
• M17: 2,861,658 km (0.098 R)
• M18: 2,984,478 km (0.111 R)
• M19: 3,217,252 km (0.072 R)
• M20: 3,853,940 km (0.094 R)
• M21: 4,306,624 km (0.092 R)
• M22: 4,631,700 km (0.112 R)
• M23: 5,049,227 km (0.103 R)
• M24: 5,219,619 km (0.034 R)
• M25: 5,348,722 km (0.107 R)
• M26: 5,479,022 km (0.112 R)
• M27: 5,987,804 km (0.106 R)
• M28: 6,055,273 km (0.108 R)
• M29: 6,145,630 km (0.045 R)
• M30: 6,236,586 km (0.108 R)
• M31: 6,442,582 km (0.112 R)
• M32: 6,790,995 km (0.118 R)
• M33: 7,098,120 km (0.059 R)
• M34: 7,169,628 km (0.111 R)
• M35: 7,506,522 km (0.113 R)
• M36: 7,848,503 km (0.113 R)
• M37: 7,996,754 km (0.107 R)
• M38: 8,145,903 km (0.062 R)
• M39: 8,220,852 km (0.116 R)
• M40: 8,982,604 km (0.065 R)
• M41: 9,503,055 km (0.097 R)
• M42: 10,086,786 km (0.051 R)
• M43: 10,410,067 km (0.093 R)
• M44: 10,573,129 km (0.119 R)
• M45: 10,654,959 km (0.106 R)
• M46: 10,929,022 km (0.095 R)
• M47: 11,652,926 km (0.049 R)
• M48: 11,765,723 km (0.115 R)
• M49: 11,850,395 km (0.094 R)
• M50: 13,677,883 km (0.047 R)
• M51: 13,945,962 km (0.071 R)
• M52: 14,427,069 km (0.089 R)
• M53: 14,548,243 km (0.09 R)
• M54: 14,639,348 km (0.099 R)
• M55: 14,791,489 km (0.112 R)
• M56: 15,066,750 km (0.101 R)
• M57: 15,220,536 km (0.098 R)
• M58: 15,934,118 km (0.098 R)
• M59: 16,184,844 km (0.1 R)
• M60: 16,531,911 km (0.066 R)
• M61: 17,008,979 km (0.096 R)
• M62: 17,555,161 km (0.107 R)
• M63: 18,172,551 km (0.112 R)
• M64: 18,368,973 km (0.096 R)
• M65: 18,533,231 km (0.092 R)
• M66: 20,269,913 km (0.047 R)
• M67: 20,405,598 km (0.06 R)
• M68: 20,985,888 km (0.095 R)
• M69: 21,226,442 km (0.113 R)
• M70: 21,571,714 km (0.078 R)
• M71: 22,127,919 km (0.095 R)
• M72: 23,077,117 km (0.106 R)
• M73: 23,254,391 km (0.114 R)
• M74: 23,646,038 km (0.07 R)
• M75: 23,932,069 km (0.118 R)

Planet 7 - Gas Giant

Semi-Major Axis: 4.96 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 45.3

Radius: 8.5

Gravity: 0.63 G

Time & Orbit

Eccentricity (e): 0.031

Orbit Range: 4.81 AU - 5.11 AU

Year: 7366 Days

Day: 10 Hours

Environment

Temp: -217 °C

Axial Tilt: 2.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (44)

Outer Limit: 15,810,202 km

• M1: 107,112 km (0.096 R)
• M2: 208,539 km (0.105 R)
• M3: 330,761 km (0.106 R)
• M4: 396,584 km (0.103 R)
• M5: 791,373 km (0.095 R)
• M6: 1,396,047 km (0.063 R)
• M7: 1,499,868 km (0.083 R)
• M8: 1,804,150 km (0.041 R)
• M9: 2,092,425 km (0.082 R)
• M10: 2,445,028 km (0.087 R)
• M11: 2,988,666 km (0.078 R)
• M12: 3,413,375 km (0.08 R)
• M13: 3,712,122 km (0.108 R)
• M14: 3,769,866 km (0.064 R)
• M15: 3,886,553 km (0.03 R)
• M16: 4,228,533 km (0.067 R)
• M17: 4,564,829 km (0.088 R)
• M18: 4,925,659 km (0.098 R)
• M19: 5,295,615 km (0.097 R)
• M20: 5,426,513 km (0.116 R)
• M21: 5,508,792 km (0.111 R)
• M22: 5,674,696 km (0.087 R)
• M23: 6,165,227 km (0.09 R)
• M24: 6,476,541 km (0.086 R)
• M25: 6,686,875 km (0.05 R)
• M26: 7,295,290 km (0.102 R)
• M27: 7,624,555 km (0.106 R)
• M28: 7,753,957 km (0.066 R)
• M29: 8,507,182 km (0.029 R)
• M30: 8,564,478 km (0.119 R)
• M31: 9,342,686 km (0.118 R)
• M32: 9,520,857 km (0.09 R)
• M33: 9,680,179 km (0.042 R)
• M34: 10,163,679 km (0.043 R)
• M35: 10,861,853 km (0.074 R)
• M36: 11,091,037 km (0.059 R)
• M37: 11,703,041 km (0.087 R)
• M38: 12,325,967 km (0.028 R)
• M39: 12,981,654 km (0.077 R)
• M40: 13,671,151 km (0.109 R)
• M41: 13,851,117 km (0.096 R)
• M42: 13,986,503 km (0.096 R)
• M43: 14,532,536 km (0.047 R)
• M44: 15,016,185 km (0.107 R)

Kuiper Belt

Range: 30 - 50 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 485 - 17,615 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit