🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.58 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.31

Radius: 1.4

Gravity: 1.18 G

Time & Orbit

Eccentricity (e): 0.152

Orbit Range: 0.49 AU - 0.67 AU

Year: 169 Days

Day: 27.9 Hours

Environment

Temp: 145 °C

Axial Tilt: 18.2 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Planet 2 - Terrestrial

Semi-Major Axis: 0.65 AU

Status: Inner (Hot)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.22

Radius: 1.38

Gravity: 1.17 G

Time & Orbit

Eccentricity (e): 0.217

Orbit Range: 0.51 AU - 0.79 AU

Year: 201 Days

Day: 47.4 Hours

Environment

Temp: 129 °C

Axial Tilt: 5.4 °

Atmosphere: Dense CO₂

Biome: Volcanic/Barren

Planet 3 - Terrestrial

Semi-Major Axis: 1.03 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 4.55

Radius: 1.83

Gravity: 1.36 G

Time & Orbit

Eccentricity (e): 0.012

Orbit Range: 1.02 AU - 1.04 AU

Year: 400 Days

Day: 33.5 Hours

Environment

Temp: -11 °C

Axial Tilt: 5 °

Atmosphere: N₂, O₂

Biome: Arid/Tundra

Planet 4 - Terrestrial

Semi-Major Axis: 1.92 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.57

Radius: 0.8

Gravity: 0.89 G

Time & Orbit

Eccentricity (e): 0.037

Orbit Range: 1.85 AU - 1.99 AU

Year: 1019 Days

Day: 16.8 Hours

Environment

Temp: -86 °C

Axial Tilt: 25 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (2)

Outer Limit: 87,749,818 km

• M1: 209,138 km (0.119 R)
• M2: 326,572 km (0.074 R)

Planet 5 - Terrestrial

Semi-Major Axis: 3.37 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.99

Radius: 1.32

Gravity: 1.14 G

Time & Orbit

Eccentricity (e): 0.042

Orbit Range: 3.23 AU - 3.51 AU

Year: 2369 Days

Day: 44.9 Hours

Environment

Temp: -128 °C

Axial Tilt: 33.5 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 87,749,818 km

• M1: 2,012,241 km (0.059 R)

Planet 6 - Gas Giant

Semi-Major Axis: 4.17 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 513.7

Radius: 10.5

Gravity: 4.66 G

Time & Orbit

Eccentricity (e): 0.074

Orbit Range: 3.86 AU - 4.48 AU

Year: 3260 Days

Day: 11.9 Hours

Environment

Temp: -135 °C

Axial Tilt: 1.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (76)

Outer Limit: 87,749,818 km

• M1: 132,394 km (0.075 R)
• M2: 226,641 km (0.103 R)
• M3: 294,558 km (0.118 R)
• M4: 380,727 km (0.109 R)
• M5: 510,278 km (0.118 R)
• M6: 585,676 km (0.043 R)
• M7: 1,250,788 km (0.098 R)
• M8: 1,895,704 km (0.06 R)
• M9: 1,991,596 km (0.108 R)
• M10: 2,245,913 km (0.082 R)
• M11: 2,347,639 km (0.079 R)
• M12: 2,465,822 km (0.074 R)
• M13: 2,677,652 km (0.088 R)
• M14: 2,754,695 km (0.081 R)
• M15: 2,927,032 km (0.108 R)
• M16: 3,216,653 km (0.095 R)
• M17: 3,331,844 km (0.074 R)
• M18: 3,515,700 km (0.098 R)
• M19: 3,634,480 km (0.12 R)
• M20: 4,230,478 km (0.073 R)
• M21: 4,800,296 km (0.03 R)
• M22: 4,894,543 km (0.074 R)
• M23: 5,103,980 km (0.09 R)
• M24: 5,219,470 km (0.069 R)
• M25: 5,591,071 km (0.09 R)
• M26: 5,690,254 km (0.069 R)
• M27: 6,093,121 km (0.061 R)
• M28: 6,215,792 km (0.063 R)
• M29: 6,401,293 km (0.066 R)
• M30: 7,226,325 km (0.059 R)
• M31: 7,443,392 km (0.048 R)
• M32: 7,706,684 km (0.08 R)
• M33: 7,795,096 km (0.078 R)
• M34: 7,861,667 km (0.074 R)
• M35: 7,995,258 km (0.033 R)
• M36: 8,264,983 km (0.079 R)
• M37: 8,378,079 km (0.061 R)
• M38: 8,697,919 km (0.115 R)
• M39: 8,813,110 km (0.079 R)
• M40: 9,255,620 km (0.071 R)
• M41: 9,657,590 km (0.117 R)
• M42: 9,824,840 km (0.053 R)
• M43: 9,944,818 km (0.099 R)
• M44: 10,017,073 km (0.116 R)
• M45: 10,429,814 km (0.047 R)
• M46: 10,749,205 km (0.097 R)
• M47: 10,872,923 km (0.089 R)
• M48: 11,046,905 km (0.087 R)
• M49: 11,121,854 km (0.092 R)
• M50: 11,221,935 km (0.062 R)
• M51: 11,397,712 km (0.102 R)
• M52: 11,498,691 km (0.104 R)
• M53: 11,956,460 km (0.074 R)
• M54: 12,058,935 km (0.098 R)
• M55: 12,239,051 km (0.074 R)
• M56: 12,420,064 km (0.066 R)
• M57: 12,498,005 km (0.091 R)
• M58: 12,732,574 km (0.033 R)
• M59: 12,994,969 km (0.117 R)
• M60: 13,365,223 km (0.105 R)
• M61: 13,685,363 km (0.09 R)
• M62: 14,908,625 km (0.047 R)
• M63: 14,991,352 km (0.059 R)
• M64: 15,547,258 km (0.073 R)
• M65: 15,884,003 km (0.111 R)
• M66: 16,365,259 km (0.091 R)
• M67: 16,765,134 km (0.059 R)
• M68: 17,168,151 km (0.034 R)
• M69: 17,749,638 km (0.075 R)
• M70: 17,837,452 km (0.096 R)
• M71: 18,101,642 km (0.106 R)
• M72: 18,337,557 km (0.078 R)
• M73: 18,485,659 km (0.082 R)
• M74: 19,021,668 km (0.075 R)
• M75: 20,048,059 km (0.112 R)
• M76: 20,231,018 km (0.033 R)

Planet 7 - Gas Giant

Semi-Major Axis: 4.56 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 182.7

Radius: 8.3

Gravity: 2.65 G

Time & Orbit

Eccentricity (e): 0.104

Orbit Range: 4.09 AU - 5.03 AU

Year: 3728 Days

Day: 10.4 Hours

Environment

Temp: -146 °C

Axial Tilt: 19 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (72)

Outer Limit: 87,749,818 km

• M1: 110,553 km (0.081 R)
• M2: 169,794 km (0.112 R)
• M3: 259,852 km (0.091 R)
• M4: 319,391 km (0.052 R)
• M5: 442,511 km (0.054 R)
• M6: 496,815 km (0.048 R)
• M7: 722,558 km (0.11 R)
• M8: 899,682 km (0.084 R)
• M9: 998,267 km (0.087 R)
• M10: 1,186,910 km (0.109 R)
• M11: 1,377,048 km (0.1 R)
• M12: 1,664,276 km (0.12 R)
• M13: 1,854,864 km (0.109 R)
• M14: 2,196,396 km (0.102 R)
• M15: 2,257,282 km (0.048 R)
• M16: 2,778,032 km (0.049 R)
• M17: 2,897,262 km (0.096 R)
• M18: 3,004,823 km (0.091 R)
• M19: 3,113,580 km (0.096 R)
• M20: 3,490,418 km (0.102 R)
• M21: 3,576,287 km (0.118 R)
• M22: 3,648,243 km (0.107 R)
• M23: 4,180,961 km (0.111 R)
• M24: 4,410,145 km (0.081 R)
• M25: 4,580,836 km (0.074 R)
• M26: 4,993,128 km (0.105 R)
• M27: 5,301,898 km (0.071 R)
• M28: 5,700,726 km (0.114 R)
• M29: 5,768,195 km (0.073 R)
• M30: 5,920,934 km (0.095 R)
• M31: 6,006,355 km (0.064 R)
• M32: 6,178,392 km (0.067 R)
• M33: 6,317,368 km (0.071 R)
• M34: 6,793,539 km (0.081 R)
• M35: 7,208,523 km (0.099 R)
• M36: 7,520,435 km (0.104 R)
• M37: 7,650,136 km (0.114 R)
• M38: 7,743,335 km (0.107 R)
• M39: 8,100,725 km (0.09 R)
• M40: 8,714,674 km (0.081 R)
• M41: 8,812,063 km (0.102 R)
• M42: 8,909,750 km (0.052 R)
• M43: 9,007,737 km (0.094 R)
• M44: 9,125,919 km (0.112 R)
• M45: 9,303,940 km (0.11 R)
• M46: 9,825,139 km (0.082 R)
• M47: 9,946,762 km (0.114 R)
• M48: 10,293,979 km (0.095 R)
• M49: 10,979,437 km (0.116 R)
• M50: 11,168,977 km (0.119 R)
• M51: 11,359,565 km (0.071 R)
• M52: 11,765,573 km (0.102 R)
• M53: 11,916,218 km (0.077 R)
• M54: 12,110,995 km (0.105 R)
• M55: 12,241,444 km (0.081 R)
• M56: 12,438,016 km (0.065 R)
• M57: 12,745,888 km (0.111 R)
• M58: 12,834,301 km (0.087 R)
• M59: 13,123,024 km (0.112 R)
• M60: 13,212,185 km (0.049 R)
• M61: 13,481,311 km (0.068 R)
• M62: 13,752,233 km (0.062 R)
• M63: 13,888,218 km (0.101 R)
• M64: 14,093,316 km (0.068 R)
• M65: 14,184,721 km (0.097 R)
• M66: 14,299,312 km (0.088 R)
• M67: 14,668,071 km (0.088 R)
• M68: 14,783,860 km (0.04 R)
• M69: 15,180,145 km (0.101 R)
• M70: 15,414,864 km (0.055 R)
• M71: 15,674,416 km (0.066 R)
• M72: 15,887,892 km (0.072 R)

Planet 8 - Gas Giant

Semi-Major Axis: 4.82 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 294.7

Radius: 12.1

Gravity: 2.01 G

Time & Orbit

Eccentricity (e): 0.245

Orbit Range: 3.64 AU - 6 AU

Year: 4052 Days

Day: 6.2 Hours

Environment

Temp: -156 °C

Axial Tilt: 21.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (52)

Outer Limit: 87,749,818 km

• M1: 530,324 km (0.116 R)
• M2: 753,674 km (0.113 R)
• M3: 1,270,086 km (0.053 R)
• M4: 1,420,731 km (0.105 R)
• M5: 1,553,125 km (0.086 R)
• M6: 1,753,287 km (0.027 R)
• M7: 2,083,450 km (0.102 R)
• M8: 2,291,091 km (0.038 R)
• M9: 2,667,480 km (0.108 R)
• M10: 2,924,489 km (0.117 R)
• M11: 3,017,090 km (0.096 R)
• M12: 3,527,817 km (0.063 R)
• M13: 3,726,483 km (0.069 R)
• M14: 4,065,921 km (0.054 R)
• M15: 4,169,741 km (0.115 R)
• M16: 4,344,621 km (0.089 R)
• M17: 5,237,122 km (0.111 R)
• M18: 5,714,190 km (0.113 R)
• M19: 5,850,174 km (0.05 R)
• M20: 6,185,274 km (0.11 R)
• M21: 6,365,240 km (0.072 R)
• M22: 6,812,388 km (0.1 R)
• M23: 6,956,899 km (0.1 R)
• M24: 7,123,252 km (0.085 R)
• M25: 7,354,082 km (0.072 R)
• M26: 7,866,454 km (0.117 R)
• M27: 7,953,072 km (0.069 R)
• M28: 9,266,092 km (0.038 R)
• M29: 9,472,238 km (0.108 R)
• M30: 9,819,455 km (0.062 R)
• M31: 11,079,069 km (0.11 R)
• M32: 11,395,917 km (0.049 R)
• M33: 11,543,121 km (0.09 R)
• M34: 11,963,641 km (0.09 R)
• M35: 12,088,256 km (0.092 R)
• M36: 12,338,832 km (0.065 R)
• M37: 13,203,807 km (0.112 R)
• M38: 13,358,491 km (0.085 R)
• M39: 13,878,494 km (0.067 R)
• M40: 14,325,642 km (0.069 R)
• M41: 14,458,185 km (0.119 R)
• M42: 15,045,656 km (0.094 R)
• M43: 15,234,299 km (0.111 R)
• M44: 15,423,690 km (0.12 R)
• M45: 17,050,866 km (0.08 R)
• M46: 17,756,818 km (0.112 R)
• M47: 17,956,232 km (0.089 R)
• M48: 18,529,940 km (0.119 R)
• M49: 18,616,557 km (0.077 R)
• M50: 18,819,113 km (0.115 R)
• M51: 18,935,201 km (0.074 R)
• M52: 19,022,416 km (0.107 R)

Planet 9 - Ice Giant

Semi-Major Axis: 15.52 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 658.7

Radius: 5.8

Gravity: 19.58 G

Time & Orbit

Eccentricity (e): 0.154

Orbit Range: 13.13 AU - 17.91 AU

Year: 23410 Days

Day: 20.7 Hours

Environment

Temp: -190 °C

Axial Tilt: 33 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (96)

Outer Limit: 87,749,818 km

• M1: 85,869 km (0.077 R)
• M2: 401,521 km (0.089 R)
• M3: 505,192 km (0.066 R)
• M4: 665,262 km (0.077 R)
• M5: 789,428 km (0.072 R)
• M6: 841,338 km (0.054 R)
• M7: 1,206,357 km (0.088 R)
• M8: 1,715,888 km (0.116 R)
• M9: 2,101,102 km (0.087 R)
• M10: 2,359,906 km (0.098 R)
• M11: 2,867,342 km (0.086 R)
• M12: 3,580,027 km (0.094 R)
• M13: 3,711,224 km (0.054 R)
• M14: 4,437,821 km (0.116 R)
• M15: 4,913,841 km (0.119 R)
• M16: 6,173,306 km (0.051 R)
• M17: 6,543,112 km (0.071 R)
• M18: 6,703,780 km (0.094 R)
• M19: 8,207,238 km (0.08 R)
• M20: 9,265,045 km (0.115 R)
• M21: 9,445,460 km (0.063 R)
• M22: 9,687,958 km (0.117 R)
• M23: 10,117,005 km (0.109 R)
• M24: 10,993,798 km (0.089 R)
• M25: 11,057,377 km (0.06 R)
• M26: 11,699,750 km (0.112 R)
• M27: 13,222,507 km (0.095 R)
• M28: 13,561,645 km (0.074 R)
• M29: 13,835,110 km (0.068 R)
• M30: 15,584,807 km (0.107 R)
• M31: 16,449,183 km (0.102 R)
• M32: 17,034,111 km (0.108 R)
• M33: 17,477,220 km (0.105 R)
• M34: 18,829,136 km (0.105 R)
• M35: 19,440,842 km (0.091 R)
• M36: 19,517,735 km (0.051 R)
• M37: 20,292,353 km (0.096 R)
• M38: 21,552,565 km (0.094 R)
• M39: 22,031,727 km (0.089 R)
• M40: 22,272,580 km (0.12 R)
• M41: 24,313,544 km (0.111 R)
• M42: 24,812,303 km (0.09 R)
• M43: 25,735,172 km (0.062 R)
• M44: 27,528,252 km (0.086 R)
• M45: 27,614,570 km (0.093 R)
• M46: 27,874,272 km (0.089 R)
• M47: 28,047,955 km (0.108 R)
• M48: 28,483,435 km (0.061 R)
• M49: 29,537,800 km (0.058 R)
• M50: 30,694,342 km (0.106 R)
• M51: 31,233,193 km (0.086 R)
• M52: 31,684,530 km (0.09 R)
• M53: 32,960,001 km (0.109 R)
• M54: 33,235,411 km (0.052 R)
• M55: 34,066,427 km (0.105 R)
• M56: 34,159,178 km (0.109 R)
• M57: 34,344,829 km (0.112 R)
• M58: 34,904,175 km (0.049 R)
• M59: 34,997,674 km (0.105 R)
• M60: 35,654,558 km (0.114 R)
• M61: 36,505,172 km (0.074 R)
• M62: 36,885,300 km (0.086 R)
• M63: 38,322,636 km (0.034 R)
• M64: 39,875,761 km (0.099 R)
• M65: 43,344,487 km (0.119 R)
• M66: 43,445,017 km (0.082 R)
• M67: 44,150,820 km (0.085 R)
• M68: 45,880,620 km (0.048 R)
• M69: 46,393,591 km (0.096 R)
• M70: 47,114,802 km (0.103 R)
• M71: 47,528,740 km (0.117 R)
• M72: 50,565,127 km (0.075 R)
• M73: 50,670,893 km (0.091 R)
• M74: 51,839,851 km (0.086 R)
• M75: 53,987,628 km (0.107 R)
• M76: 54,204,096 km (0.104 R)
• M77: 54,312,405 km (0.107 R)
• M78: 55,726,852 km (0.032 R)
• M79: 59,148,305 km (0.117 R)
• M80: 61,053,285 km (0.111 R)
• M81: 61,956,706 km (0.105 R)
• M82: 62,069,952 km (0.064 R)
• M83: 62,750,772 km (0.096 R)
• M84: 62,864,466 km (0.105 R)
• M85: 64,005,449 km (0.09 R)
• M86: 65,153,313 km (0.071 R)
• M87: 66,192,121 km (0.065 R)
• M88: 67,585,775 km (0.11 R)
• M89: 69,341,306 km (0.042 R)
• M90: 71,467,690 km (0.045 R)
• M91: 72,300,352 km (0.108 R)
• M92: 74,095,676 km (0.087 R)
• M93: 76,026,535 km (0.12 R)
• M94: 76,998,323 km (0.089 R)
• M95: 79,322,476 km (0.061 R)
• M96: 82,540,176 km (0.105 R)

Planet 10 - Ice Giant

Semi-Major Axis: 15.69 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 742.2

Radius: 8

Gravity: 11.6 G

Time & Orbit

Eccentricity (e): 0.115

Orbit Range: 13.89 AU - 17.49 AU

Year: 23796 Days

Day: 16.8 Hours

Environment

Temp: -207 °C

Axial Tilt: 39.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (90)

Outer Limit: 87,749,818 km

• M1: 229,334 km (0.102 R)
• M2: 648,956 km (0.079 R)
• M3: 723,306 km (0.085 R)
• M4: 827,127 km (0.101 R)
• M5: 1,168,958 km (0.037 R)
• M6: 1,452,595 km (0.036 R)
• M7: 1,518,568 km (0.07 R)
• M8: 2,829,793 km (0.11 R)
• M9: 3,124,352 km (0.096 R)
• M10: 3,384,801 km (0.081 R)
• M11: 4,066,519 km (0.117 R)
• M12: 4,989,239 km (0.083 R)
• M13: 5,140,632 km (0.097 R)
• M14: 5,974,041 km (0.104 R)
• M15: 6,189,014 km (0.099 R)
• M16: 6,571,236 km (0.097 R)
• M17: 7,073,885 km (0.087 R)
• M18: 7,244,277 km (0.07 R)
• M19: 8,175,524 km (0.077 R)
• M20: 10,020,963 km (0.06 R)
• M21: 10,276,476 km (0.025 R)
• M22: 10,859,160 km (0.111 R)
• M23: 11,187,527 km (0.116 R)
• M24: 13,295,212 km (0.091 R)
• M25: 13,576,007 km (0.117 R)
• M26: 13,929,656 km (0.073 R)
• M27: 14,718,486 km (0.069 R)
• M28: 14,936,151 km (0.085 R)
• M29: 15,081,859 km (0.09 R)
• M30: 15,891,632 km (0.028 R)
• M31: 16,489,276 km (0.114 R)
• M32: 17,170,694 km (0.112 R)
• M33: 17,476,322 km (0.101 R)
• M34: 18,404,428 km (0.041 R)
• M35: 18,638,848 km (0.116 R)
• M36: 19,269,103 km (0.066 R)
• M37: 19,348,390 km (0.096 R)
• M38: 19,427,827 km (0.092 R)
• M39: 19,906,241 km (0.064 R)
• M40: 21,037,949 km (0.114 R)
• M41: 21,529,378 km (0.081 R)
• M42: 23,957,201 km (0.119 R)
• M43: 24,042,323 km (0.109 R)
• M44: 25,420,119 km (0.119 R)
• M45: 27,178,193 km (0.071 R)
• M46: 29,339,134 km (0.084 R)
• M47: 29,979,712 km (0.093 R)
• M48: 30,347,873 km (0.089 R)
• M49: 30,810,130 km (0.054 R)
• M50: 32,399,159 km (0.105 R)
• M51: 32,587,802 km (0.066 R)
• M52: 33,061,279 km (0.087 R)
• M53: 33,919,073 km (0.094 R)
• M54: 35,462,026 km (0.099 R)
• M55: 37,818,940 km (0.051 R)
• M56: 39,217,082 km (0.087 R)
• M57: 39,821,457 km (0.108 R)
• M58: 40,226,119 km (0.057 R)
• M59: 41,550,659 km (0.076 R)
• M60: 43,200,275 km (0.089 R)
• M61: 43,512,037 km (0.116 R)
• M62: 43,616,007 km (0.05 R)
• M63: 48,383,991 km (0.047 R)
• M64: 53,202,987 km (0.088 R)
• M65: 53,760,239 km (0.12 R)
• M66: 54,095,488 km (0.06 R)
• M67: 54,543,533 km (0.092 R)
• M68: 56,575,222 km (0.101 R)
• M69: 60,595,964 km (0.102 R)
• M70: 62,229,872 km (0.119 R)
• M71: 63,052,361 km (0.08 R)
• M72: 63,760,108 km (0.08 R)
• M73: 68,303,396 km (0.089 R)
• M74: 71,594,399 km (0.114 R)
• M75: 72,826,338 km (0.091 R)
• M76: 73,073,474 km (0.074 R)
• M77: 74,065,307 km (0.107 R)
• M78: 74,687,335 km (0.12 R)
• M79: 78,836,283 km (0.039 R)
• M80: 80,619,041 km (0.057 R)
• M81: 82,029,000 km (0.079 R)
• M82: 82,157,655 km (0.064 R)
• M83: 82,286,309 km (0.098 R)
• M84: 82,543,767 km (0.079 R)
• M85: 82,672,570 km (0.046 R)
• M86: 85,003,305 km (0.099 R)
• M87: 86,438,398 km (0.088 R)
• M88: 86,700,194 km (0.037 R)
• M89: 87,618,426 km (0.096 R)
• M90: 87,749,773 km (0.106 R)

Kuiper Belt

Range: 30 - 59 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 186 - 17,824 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit