🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.85 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.07

Radius: 1.34

Gravity: 1.15 G

Time & Orbit

Eccentricity (e): 0.051

Orbit Range: 0.81 AU - 0.89 AU

Year: 283 Days

Day: 29.1 Hours

Environment

Temp: 145 °C

Axial Tilt: 7.9 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Satellites (2)

Outer Limit: 77,592,721 km

• M1: 63,280 km (0.06 R)
• M2: 173,085 km (0.1 R)

Planet 2 - Terrestrial

Semi-Major Axis: 1.56 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.77

Radius: 1.26

Gravity: 1.11 G

Time & Orbit

Eccentricity (e): 0.178

Orbit Range: 1.28 AU - 1.84 AU

Year: 705 Days

Day: 31.8 Hours

Environment

Temp: -41 °C

Axial Tilt: 27.8 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 3 - Terrestrial

Semi-Major Axis: 1.77 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.62

Radius: 1.47

Gravity: 1.21 G

Time & Orbit

Eccentricity (e): 0.151

Orbit Range: 1.5 AU - 2.04 AU

Year: 852 Days

Day: 38.9 Hours

Environment

Temp: -54 °C

Axial Tilt: 27.2 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 4 - Terrestrial

Semi-Major Axis: 2.08 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 3.36

Radius: 1.62

Gravity: 1.28 G

Time & Orbit

Eccentricity (e): 0.031

Orbit Range: 2.02 AU - 2.14 AU

Year: 1085 Days

Day: 25.3 Hours

Environment

Temp: -65 °C

Axial Tilt: 38.9 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 5 - Terrestrial

Semi-Major Axis: 2.2 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.76

Radius: 1.25

Gravity: 1.13 G

Time & Orbit

Eccentricity (e): 0.098

Orbit Range: 1.98 AU - 2.42 AU

Year: 1180 Days

Day: 27.8 Hours

Environment

Temp: -67 °C

Axial Tilt: 28.9 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 6 - Gas Giant

Semi-Major Axis: 5.47 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 119.9

Radius: 11.3

Gravity: 0.94 G

Time & Orbit

Eccentricity (e): 0.087

Orbit Range: 4.99 AU - 5.95 AU

Year: 4627 Days

Day: 12.2 Hours

Environment

Temp: -132 °C

Axial Tilt: 35.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (53)

Outer Limit: 77,592,721 km

• M1: 146,157 km (0.115 R)
• M2: 385,963 km (0.05 R)
• M3: 689,197 km (0.117 R)
• M4: 894,296 km (0.093 R)
• M5: 1,009,337 km (0.062 R)
• M6: 1,129,614 km (0.075 R)
• M7: 1,488,648 km (0.114 R)
• M8: 1,583,942 km (0.082 R)
• M9: 1,747,752 km (0.109 R)
• M10: 2,045,003 km (0.036 R)
• M11: 2,649,229 km (0.117 R)
• M12: 2,766,065 km (0.097 R)
• M13: 2,991,658 km (0.097 R)
• M14: 3,209,473 km (0.088 R)
• M15: 3,334,387 km (0.112 R)
• M16: 3,418,461 km (0.114 R)
• M17: 3,894,332 km (0.034 R)
• M18: 4,452,631 km (0.037 R)
• M19: 4,530,123 km (0.077 R)
• M20: 4,733,426 km (0.088 R)
• M21: 5,149,458 km (0.091 R)
• M22: 5,328,975 km (0.056 R)
• M23: 5,677,538 km (0.114 R)
• M24: 6,085,043 km (0.115 R)
• M25: 6,590,235 km (0.113 R)
• M26: 6,714,252 km (0.103 R)
• M27: 7,108,891 km (0.098 R)
• M28: 7,217,948 km (0.05 R)
• M29: 7,290,802 km (0.073 R)
• M30: 7,474,358 km (0.115 R)
• M31: 7,677,961 km (0.089 R)
• M32: 7,771,161 km (0.119 R)
• M33: 7,902,208 km (0.099 R)
• M34: 8,318,988 km (0.117 R)
• M35: 8,568,667 km (0.105 R)
• M36: 8,820,739 km (0.098 R)
• M37: 9,154,193 km (0.113 R)
• M38: 9,412,100 km (0.062 R)
• M39: 9,732,688 km (0.063 R)
• M40: 10,343,496 km (0.092 R)
• M41: 10,799,470 km (0.091 R)
• M42: 10,924,833 km (0.05 R)
• M43: 11,050,795 km (0.111 R)
• M44: 12,141,064 km (0.063 R)
• M45: 12,599,881 km (0.104 R)
• M46: 12,908,950 km (0.063 R)
• M47: 13,019,951 km (0.059 R)
• M48: 13,310,022 km (0.059 R)
• M49: 13,874,006 km (0.097 R)
• M50: 14,676,598 km (0.076 R)
• M51: 15,025,161 km (0.04 R)
• M52: 15,282,470 km (0.078 R)
• M53: 15,517,787 km (0.059 R)

Planet 7 - Gas Giant

Semi-Major Axis: 6.28 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 639.8

Radius: 8.8

Gravity: 8.26 G

Time & Orbit

Eccentricity (e): 0.171

Orbit Range: 5.21 AU - 7.35 AU

Year: 5692 Days

Day: 9 Hours

Environment

Temp: -147 °C

Axial Tilt: 20.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (66)

Outer Limit: 77,592,721 km

• M1: 112,348 km (0.073 R)
• M2: 207,043 km (0.116 R)
• M3: 276,008 km (0.099 R)
• M4: 467,942 km (0.094 R)
• M5: 523,144 km (0.113 R)
• M6: 665,561 km (0.102 R)
• M7: 742,005 km (0.093 R)
• M8: 904,170 km (0.043 R)
• M9: 1,169,556 km (0.042 R)
• M10: 1,543,700 km (0.113 R)
• M11: 1,612,665 km (0.092 R)
• M12: 1,807,441 km (0.046 R)
• M13: 2,047,546 km (0.091 R)
• M14: 2,142,690 km (0.082 R)
• M15: 2,239,331 km (0.079 R)
• M16: 2,397,007 km (0.102 R)
• M17: 2,640,552 km (0.05 R)
• M18: 2,870,933 km (0.106 R)
• M19: 3,396,171 km (0.119 R)
• M20: 3,646,897 km (0.107 R)
• M21: 3,950,880 km (0.102 R)
• M22: 4,022,238 km (0.119 R)
• M23: 4,709,042 km (0.105 R)
• M24: 5,326,432 km (0.068 R)
• M25: 5,941,878 km (0.099 R)
• M26: 6,106,136 km (0.112 R)
• M27: 6,439,291 km (0.108 R)
• M28: 6,664,585 km (0.094 R)
• M29: 7,327,005 km (0.084 R)
• M30: 7,830,102 km (0.103 R)
• M31: 8,010,368 km (0.117 R)
• M32: 8,590,209 km (0.06 R)
• M33: 8,714,076 km (0.117 R)
• M34: 9,246,794 km (0.091 R)
• M35: 9,373,803 km (0.115 R)
• M36: 9,437,382 km (0.034 R)
• M37: 9,693,643 km (0.114 R)
• M38: 9,790,283 km (0.067 R)
• M39: 9,887,222 km (0.058 R)
• M40: 9,951,998 km (0.115 R)
• M41: 10,147,373 km (0.105 R)
• M42: 10,245,509 km (0.114 R)
• M43: 10,311,033 km (0.111 R)
• M44: 10,508,802 km (0.1 R)
• M45: 10,740,978 km (0.112 R)
• M46: 11,618,219 km (0.112 R)
• M47: 12,273,757 km (0.099 R)
• M48: 13,083,381 km (0.049 R)
• M49: 14,092,269 km (0.062 R)
• M50: 14,421,833 km (0.086 R)
• M51: 15,993,209 km (0.041 R)
• M52: 16,683,155 km (0.04 R)
• M53: 18,052,424 km (0.092 R)
• M54: 19,052,486 km (0.08 R)
• M55: 23,358,361 km (0.092 R)
• M56: 24,446,985 km (0.11 R)
• M57: 25,241,050 km (0.065 R)
• M58: 26,809,135 km (0.085 R)
• M59: 27,217,388 km (0.101 R)
• M60: 27,399,598 km (0.1 R)
• M61: 27,490,853 km (0.064 R)
• M62: 28,778,442 km (0.077 R)
• M63: 29,010,468 km (0.114 R)
• M64: 30,179,874 km (0.073 R)
• M65: 30,841,396 km (0.039 R)
• M66: 31,746,912 km (0.079 R)

Planet 8 - Gas Giant

Semi-Major Axis: 8.6 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 305.6

Radius: 10.1

Gravity: 3 G

Time & Orbit

Eccentricity (e): 0.239

Orbit Range: 6.54 AU - 10.66 AU

Year: 9121 Days

Day: 8.8 Hours

Environment

Temp: -173 °C

Axial Tilt: 123.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (85)

Outer Limit: 77,592,721 km

• M1: 126,709 km (0.091 R)
• M2: 201,658 km (0.099 R)
• M3: 295,157 km (0.084 R)
• M4: 360,082 km (0.105 R)
• M5: 431,590 km (0.075 R)
• M6: 802,593 km (0.054 R)
• M7: 1,067,830 km (0.055 R)
• M8: 1,293,274 km (0.086 R)
• M9: 1,715,738 km (0.101 R)
• M10: 2,099,606 km (0.078 R)
• M11: 2,342,703 km (0.096 R)
• M12: 2,488,860 km (0.078 R)
• M13: 2,616,616 km (0.094 R)
• M14: 2,901,002 km (0.087 R)
• M15: 3,080,968 km (0.115 R)
• M16: 3,886,702 km (0.045 R)
• M17: 4,010,569 km (0.107 R)
• M18: 4,110,650 km (0.114 R)
• M19: 4,236,761 km (0.054 R)
• M20: 4,389,950 km (0.09 R)
• M21: 4,571,113 km (0.071 R)
• M22: 4,807,627 km (0.058 R)
• M23: 4,940,769 km (0.115 R)
• M24: 5,048,031 km (0.099 R)
• M25: 5,624,730 km (0.109 R)
• M26: 5,963,719 km (0.08 R)
• M27: 6,543,261 km (0.117 R)
• M28: 6,661,444 km (0.036 R)
• M29: 6,750,454 km (0.063 R)
• M30: 7,201,791 km (0.073 R)
• M31: 7,293,195 km (0.086 R)
• M32: 7,446,533 km (0.111 R)
• M33: 8,324,374 km (0.084 R)
• M34: 8,906,010 km (0.098 R)
• M35: 9,434,091 km (0.105 R)
• M36: 9,735,680 km (0.052 R)
• M37: 10,142,586 km (0.12 R)
• M38: 10,279,468 km (0.062 R)
• M39: 10,417,098 km (0.078 R)
• M40: 10,486,063 km (0.111 R)
• M41: 10,938,297 km (0.071 R)
• M42: 11,969,924 km (0.067 R)
• M43: 12,078,382 km (0.11 R)
• M44: 12,588,960 km (0.097 R)
• M45: 12,662,562 km (0.032 R)
• M46: 13,593,659 km (0.118 R)
• M47: 13,706,905 km (0.117 R)
• M48: 14,201,326 km (0.101 R)
• M49: 14,392,961 km (0.056 R)
• M50: 14,508,301 km (0.063 R)
• M51: 14,740,177 km (0.092 R)
• M52: 15,285,761 km (0.063 R)
• M53: 17,002,546 km (0.062 R)
• M54: 17,165,308 km (0.068 R)
• M55: 17,246,839 km (0.044 R)
• M56: 17,697,877 km (0.103 R)
• M57: 18,111,365 km (0.096 R)
• M58: 18,361,044 km (0.063 R)
• M59: 18,611,770 km (0.096 R)
• M60: 19,116,663 km (0.067 R)
• M61: 19,711,464 km (0.079 R)
• M62: 20,226,081 km (0.096 R)
• M63: 20,528,418 km (0.026 R)
• M64: 20,788,569 km (0.116 R)
• M65: 21,093,749 km (0.045 R)
• M66: 22,328,679 km (0.112 R)
• M67: 23,270,248 km (0.094 R)
• M68: 25,750,281 km (0.076 R)
• M69: 25,984,253 km (0.089 R)
• M70: 26,077,901 km (0.104 R)
• M71: 26,171,848 km (0.075 R)
• M72: 26,784,601 km (0.101 R)
• M73: 26,879,297 km (0.12 R)
• M74: 27,306,847 km (0.067 R)
• M75: 27,593,178 km (0.05 R)
• M76: 27,736,792 km (0.089 R)
• M77: 29,380,573 km (0.108 R)
• M78: 29,722,853 km (0.101 R)
• M79: 29,820,989 km (0.106 R)
• M80: 29,968,193 km (0.082 R)
• M81: 30,757,921 km (0.084 R)
• M82: 31,105,436 km (0.108 R)
• M83: 31,454,448 km (0.109 R)
• M84: 32,812,498 km (0.048 R)
• M85: 34,343,632 km (0.066 R)

Planet 9 - Ice Giant

Semi-Major Axis: 14.37 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 153.9

Radius: 6.6

Gravity: 3.53 G

Time & Orbit

Eccentricity (e): 0.209

Orbit Range: 11.37 AU - 17.37 AU

Year: 19700 Days

Day: 24.9 Hours

Environment

Temp: -191 °C

Axial Tilt: 25.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (92)

Outer Limit: 77,592,721 km

• M1: 89,609 km (0.098 R)
• M2: 231,278 km (0.084 R)
• M3: 296,204 km (0.102 R)
• M4: 407,355 km (0.105 R)
• M5: 503,995 km (0.052 R)
• M6: 1,135,897 km (0.066 R)
• M7: 1,420,581 km (0.081 R)
• M8: 1,527,544 km (0.11 R)
• M9: 1,615,208 km (0.066 R)
• M10: 1,772,585 km (0.086 R)
• M11: 1,841,550 km (0.074 R)
• M12: 2,006,107 km (0.109 R)
• M13: 2,605,995 km (0.052 R)
• M14: 2,925,686 km (0.085 R)
• M15: 3,257,793 km (0.066 R)
• M16: 3,572,846 km (0.089 R)
• M17: 3,987,980 km (0.096 R)
• M18: 4,048,567 km (0.087 R)
• M19: 4,139,971 km (0.078 R)
• M20: 4,387,107 km (0.108 R)
• M21: 4,702,759 km (0.103 R)
• M22: 4,798,950 km (0.045 R)
• M23: 4,960,665 km (0.08 R)
• M24: 5,456,582 km (0.073 R)
• M25: 6,927,429 km (0.045 R)
• M26: 8,786,930 km (0.106 R)
• M27: 9,024,641 km (0.109 R)
• M28: 9,385,322 km (0.099 R)
• M29: 9,914,599 km (0.068 R)
• M30: 10,537,225 km (0.09 R)
• M31: 10,916,755 km (0.119 R)
• M32: 11,044,362 km (0.097 R)
• M33: 11,343,857 km (0.077 R)
• M34: 11,430,025 km (0.1 R)
• M35: 11,516,343 km (0.064 R)
• M36: 11,820,027 km (0.106 R)
• M37: 12,391,192 km (0.088 R)
• M38: 12,524,184 km (0.103 R)
• M39: 12,881,424 km (0.079 R)
• M40: 13,061,240 km (0.047 R)
• M41: 13,241,955 km (0.113 R)
• M42: 13,605,777 km (0.052 R)
• M43: 13,743,108 km (0.114 R)
• M44: 13,788,885 km (0.081 R)
• M45: 14,623,192 km (0.072 R)
• M46: 14,810,937 km (0.048 R)
• M47: 15,664,991 km (0.099 R)
• M48: 16,340,426 km (0.071 R)
• M49: 16,632,740 km (0.046 R)
• M50: 17,272,121 km (0.078 R)
• M51: 17,669,603 km (0.072 R)
• M52: 18,221,021 km (0.103 R)
• M53: 18,473,542 km (0.082 R)
• M54: 18,574,820 km (0.101 R)
• M55: 20,692,527 km (0.084 R)
• M56: 21,326,672 km (0.108 R)
• M57: 21,913,545 km (0.111 R)
• M58: 22,559,808 km (0.117 R)
• M59: 25,940,720 km (0.096 R)
• M60: 26,110,962 km (0.071 R)
• M61: 27,083,049 km (0.12 R)
• M62: 27,371,174 km (0.036 R)
• M63: 27,544,558 km (0.04 R)
• M64: 27,718,391 km (0.111 R)
• M65: 27,834,329 km (0.064 R)
• M66: 30,547,586 km (0.105 R)
• M67: 31,027,945 km (0.116 R)
• M68: 31,996,142 km (0.111 R)
• M69: 33,467,138 km (0.112 R)
• M70: 33,652,490 km (0.047 R)
• M71: 34,024,390 km (0.09 R)
• M72: 34,959,975 km (0.057 R)
• M73: 35,210,851 km (0.065 R)
• M74: 35,714,547 km (0.114 R)
• M75: 35,777,677 km (0.096 R)
• M76: 35,967,218 km (0.102 R)
• M77: 36,538,083 km (0.05 R)
• M78: 37,303,725 km (0.103 R)
• M79: 37,495,958 km (0.083 R)
• M80: 37,817,145 km (0.086 R)
• M81: 38,074,603 km (0.08 R)
• M82: 38,462,061 km (0.034 R)
• M83: 38,591,613 km (0.082 R)
• M84: 39,175,793 km (0.07 R)
• M85: 40,484,774 km (0.113 R)
• M86: 40,682,243 km (0.054 R)
• M87: 40,748,216 km (0.099 R)
• M88: 41,012,256 km (0.106 R)
• M89: 41,276,895 km (0.046 R)
• M90: 41,741,396 km (0.068 R)
• M91: 42,140,972 km (0.097 R)
• M92: 44,700,442 km (0.117 R)

Planet 10 - Ice Giant

Semi-Major Axis: 17.68 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 402

Radius: 4.4

Gravity: 20.76 G

Time & Orbit

Eccentricity (e): 0.103

Orbit Range: 15.86 AU - 19.5 AU

Year: 26885 Days

Day: 22.6 Hours

Environment

Temp: -200 °C

Axial Tilt: 38.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (91)

Outer Limit: 77,592,721 km

• M1: 144,212 km (0.078 R)
• M2: 226,641 km (0.053 R)
• M3: 437,574 km (0.082 R)
• M4: 770,429 km (0.113 R)
• M5: 870,061 km (0.092 R)
• M6: 1,369,419 km (0.098 R)
• M7: 1,460,075 km (0.058 R)
• M8: 1,552,676 km (0.083 R)
• M9: 1,942,379 km (0.057 R)
• M10: 2,148,225 km (0.114 R)
• M11: 3,358,771 km (0.105 R)
• M12: 3,986,484 km (0.067 R)
• M13: 5,926,768 km (0.057 R)
• M14: 6,025,503 km (0.084 R)
• M15: 6,989,961 km (0.083 R)
• M16: 7,042,021 km (0.118 R)
• M17: 7,251,607 km (0.051 R)
• M18: 7,516,545 km (0.067 R)
• M19: 8,001,242 km (0.103 R)
• M20: 8,275,006 km (0.104 R)
• M21: 8,607,413 km (0.093 R)
• M22: 9,057,553 km (0.082 R)
• M23: 9,746,900 km (0.114 R)
• M24: 10,156,947 km (0.076 R)
• M25: 10,453,151 km (0.096 R)
• M26: 10,812,336 km (0.069 R)
• M27: 11,297,631 km (0.075 R)
• M28: 11,358,817 km (0.117 R)
• M29: 11,481,487 km (0.075 R)
• M30: 11,604,456 km (0.118 R)
• M31: 11,852,041 km (0.087 R)
• M32: 12,163,803 km (0.11 R)
• M33: 12,226,484 km (0.092 R)
• M34: 12,987,040 km (0.071 R)
• M35: 13,244,049 km (0.091 R)
• M36: 14,620,200 km (0.065 R)
• M37: 14,753,641 km (0.067 R)
• M38: 15,767,167 km (0.109 R)
• M39: 15,835,533 km (0.04 R)
• M40: 16,316,789 km (0.067 R)
• M41: 16,872,695 km (0.093 R)
• M42: 19,376,963 km (0.047 R)
• M43: 20,336,185 km (0.095 R)
• M44: 22,608,128 km (0.086 R)
• M45: 26,001,606 km (0.086 R)
• M46: 26,325,186 km (0.104 R)
• M47: 26,731,644 km (0.115 R)
• M48: 26,976,535 km (0.118 R)
• M49: 27,550,841 km (0.039 R)
• M50: 27,715,698 km (0.088 R)
• M51: 29,213,622 km (0.109 R)
• M52: 32,200,642 km (0.096 R)
• M53: 34,481,711 km (0.113 R)
• M54: 35,193,946 km (0.098 R)
• M55: 35,372,865 km (0.104 R)
• M56: 35,731,302 km (0.042 R)
• M57: 35,821,210 km (0.103 R)
• M58: 36,723,584 km (0.102 R)
• M59: 37,542,184 km (0.046 R)
• M60: 38,091,208 km (0.114 R)
• M61: 43,246,201 km (0.119 R)
• M62: 44,110,279 km (0.063 R)
• M63: 47,327,082 km (0.119 R)
• M64: 48,217,488 km (0.107 R)
• M65: 48,714,602 km (0.12 R)
• M66: 49,513,305 km (0.095 R)
• M67: 50,517,855 km (0.104 R)
• M68: 52,342,949 km (0.105 R)
• M69: 52,649,175 km (0.086 R)
• M70: 53,058,475 km (0.088 R)
• M71: 54,396,030 km (0.08 R)
• M72: 54,706,296 km (0.076 R)
• M73: 55,328,473 km (0.025 R)
• M74: 55,953,044 km (0.095 R)
• M75: 56,475,291 km (0.063 R)
• M76: 57,946,137 km (0.086 R)
• M77: 59,536,063 km (0.054 R)
• M78: 60,176,043 km (0.104 R)
• M79: 61,462,734 km (0.084 R)
• M80: 62,650,242 km (0.06 R)
• M81: 62,975,468 km (0.049 R)
• M82: 64,719,180 km (0.039 R)
• M83: 65,267,307 km (0.097 R)
• M84: 68,142,428 km (0.104 R)
• M85: 68,811,729 km (0.111 R)
• M86: 70,269,411 km (0.074 R)
• M87: 72,304,540 km (0.118 R)
• M88: 72,873,312 km (0.111 R)
• M89: 73,557,871 km (0.062 R)
• M90: 75,048,165 km (0.094 R)
• M91: 76,664,122 km (0.094 R)

Kuiper Belt

Range: 30.3 - 51.3 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 421 - 17,933 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit