🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.92 AU

Status: HZ

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.84

Radius: 1.52

Gravity: 1.23 G

Time & Orbit

Eccentricity (e): 0.053

Orbit Range: 0.87 AU - 0.97 AU

Year: 336 Days

Day: 47.5 Hours

Environment

Temp: 16 °C

Axial Tilt: 1.7 °

Atmosphere: N₂, O₂

Biome: Oceanic/Continental

Planet 2 - Terrestrial

Semi-Major Axis: 3.88 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.21

Radius: 1.08

Gravity: 1.04 G

Time & Orbit

Eccentricity (e): 0.234

Orbit Range: 2.97 AU - 4.79 AU

Year: 2910 Days

Day: 38.7 Hours

Environment

Temp: -136 °C

Axial Tilt: 7 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 3 - Terrestrial

Semi-Major Axis: 3.97 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.87

Radius: 0.95

Gravity: 0.96 G

Time & Orbit

Eccentricity (e): 0.155

Orbit Range: 3.35 AU - 4.59 AU

Year: 3012 Days

Day: 41.9 Hours

Environment

Temp: -135 °C

Axial Tilt: 11.8 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 63,341,484 km

• M1: 1,227,301 km (0.07 R)

Asteroid Belt

Center: 4.49 AU

Composition

Type: Main (Rocky/Icy Mix)

A dense region of planetesimals and debris.

Boundary

Planet 4 - Gas Giant

Semi-Major Axis: 5 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 279.4

Radius: 13.2

Gravity: 1.6 G

Time & Orbit

Eccentricity (e): 0.09

Orbit Range: 4.55 AU - 5.45 AU

Year: 4257 Days

Day: 7.3 Hours

Environment

Temp: -153 °C

Axial Tilt: 32.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (74)

Outer Limit: 63,341,484 km

• M1: 247,884 km (0.108 R)
• M2: 342,130 km (0.056 R)
• M3: 435,629 km (0.056 R)
• M4: 533,765 km (0.052 R)
• M5: 702,960 km (0.12 R)
• M6: 942,317 km (0.076 R)
• M7: 1,132,007 km (0.102 R)
• M8: 1,231,938 km (0.059 R)
• M9: 1,441,226 km (0.111 R)
• M10: 1,562,699 km (0.079 R)
• M11: 1,687,913 km (0.116 R)
• M12: 2,098,110 km (0.102 R)
• M13: 2,237,236 km (0.114 R)
• M14: 2,569,044 km (0.08 R)
• M15: 2,840,116 km (0.067 R)
• M16: 2,994,800 km (0.107 R)
• M17: 3,200,048 km (0.069 R)
• M18: 3,345,008 km (0.055 R)
• M19: 3,691,776 km (0.113 R)
• M20: 3,776,149 km (0.093 R)
• M21: 4,438,270 km (0.12 R)
• M22: 4,709,640 km (0.075 R)
• M23: 4,838,294 km (0.102 R)
• M24: 5,023,945 km (0.108 R)
• M25: 5,193,140 km (0.119 R)
• M26: 5,692,648 km (0.079 R)
• M27: 6,634,666 km (0.105 R)
• M28: 6,737,738 km (0.058 R)
• M29: 6,820,616 km (0.048 R)
• M30: 6,945,530 km (0.079 R)
• M31: 7,197,602 km (0.039 R)
• M32: 7,581,620 km (0.113 R)
• M33: 8,148,147 km (0.066 R)
• M34: 8,236,560 km (0.11 R)
• M35: 8,347,412 km (0.115 R)
• M36: 8,638,230 km (0.083 R)
• M37: 8,796,205 km (0.082 R)
• M38: 8,955,228 km (0.103 R)
• M39: 9,046,482 km (0.103 R)
• M40: 9,160,925 km (0.057 R)
• M41: 9,928,811 km (0.12 R)
• M42: 10,260,918 km (0.062 R)
• M43: 10,548,445 km (0.046 R)
• M44: 11,058,125 km (0.081 R)
• M45: 11,451,867 km (0.058 R)
• M46: 11,625,550 km (0.073 R)
• M47: 11,800,130 km (0.111 R)
• M48: 12,026,023 km (0.108 R)
• M49: 12,126,703 km (0.088 R)
• M50: 12,354,690 km (0.081 R)
• M51: 12,532,861 km (0.057 R)
• M52: 12,840,284 km (0.071 R)
• M53: 12,994,969 km (0.097 R)
• M54: 13,280,252 km (0.094 R)
• M55: 13,541,300 km (0.051 R)
• M56: 13,698,827 km (0.111 R)
• M57: 13,830,473 km (0.091 R)
• M58: 14,174,997 km (0.106 R)
• M59: 14,441,730 km (0.027 R)
• M60: 14,629,625 km (0.118 R)
• M61: 14,845,195 km (0.08 R)
• M62: 15,388,983 km (0.087 R)
• M63: 15,553,391 km (0.058 R)
• M64: 15,883,853 km (0.088 R)
• M65: 16,077,732 km (0.108 R)
• M66: 16,720,404 km (0.066 R)
• M67: 16,804,927 km (0.105 R)
• M68: 16,945,998 km (0.053 R)
• M69: 17,400,028 km (0.066 R)
• M70: 17,771,928 km (0.083 R)
• M71: 18,494,486 km (0.119 R)
• M72: 19,050,092 km (0.047 R)
• M73: 19,167,676 km (0.106 R)
• M74: 19,848,945 km (0.109 R)

Planet 5 - Gas Giant

Semi-Major Axis: 6.04 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 970.3

Radius: 10.2

Gravity: 9.33 G

Time & Orbit

Eccentricity (e): 0.194

Orbit Range: 4.87 AU - 7.21 AU

Year: 5653 Days

Day: 9.2 Hours

Environment

Temp: -161 °C

Axial Tilt: 45.1 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (82)

Outer Limit: 63,341,484 km

• M1: 254,765 km (0.086 R)
• M2: 346,768 km (0.101 R)
• M3: 420,220 km (0.108 R)
• M4: 777,161 km (0.079 R)
• M5: 865,124 km (0.073 R)
• M6: 988,094 km (0.094 R)
• M7: 1,051,823 km (0.04 R)
• M8: 1,200,673 km (0.093 R)
• M9: 1,304,045 km (0.114 R)
• M10: 1,670,559 km (0.042 R)
• M11: 1,845,888 km (0.055 R)
• M12: 1,945,969 km (0.065 R)
• M13: 2,027,500 km (0.115 R)
• M14: 2,172,909 km (0.108 R)
• M15: 2,343,301 km (0.1 R)
• M16: 2,540,321 km (0.102 R)
• M17: 3,260,635 km (0.089 R)
• M18: 3,605,907 km (0.116 R)
• M19: 3,885,505 km (0.096 R)
• M20: 4,385,162 km (0.096 R)
• M21: 4,520,100 km (0.119 R)
• M22: 4,601,631 km (0.106 R)
• M23: 5,215,131 km (0.119 R)
• M24: 5,502,658 km (0.041 R)
• M25: 5,589,874 km (0.039 R)
• M26: 6,003,213 km (0.108 R)
• M27: 6,153,260 km (0.083 R)
• M28: 6,487,611 km (0.082 R)
• M29: 6,953,309 km (0.088 R)
• M30: 7,110,985 km (0.062 R)
• M31: 7,623,507 km (0.075 R)
• M32: 8,347,561 km (0.087 R)
• M33: 8,448,091 km (0.075 R)
• M34: 9,896,348 km (0.105 R)
• M35: 10,540,367 km (0.105 R)
• M36: 10,612,772 km (0.044 R)
• M37: 10,685,327 km (0.056 R)
• M38: 11,756,149 km (0.088 R)
• M39: 11,981,892 km (0.12 R)
• M40: 12,133,285 km (0.039 R)
• M41: 12,361,422 km (0.098 R)
• M42: 12,591,054 km (0.087 R)
• M43: 13,132,449 km (0.117 R)
• M44: 14,317,863 km (0.073 R)
• M45: 15,249,857 km (0.093 R)
• M46: 15,619,813 km (0.116 R)
• M47: 15,909,734 km (0.071 R)
• M48: 16,284,925 km (0.078 R)
• M49: 16,663,258 km (0.11 R)
• M50: 17,642,825 km (0.119 R)
• M51: 17,728,993 km (0.054 R)
• M52: 18,641,091 km (0.097 R)
• M53: 20,375,529 km (0.047 R)
• M54: 20,783,034 km (0.092 R)
• M55: 20,965,094 km (0.041 R)
• M56: 21,239,008 km (0.084 R)
• M57: 22,720,177 km (0.111 R)
• M58: 23,900,504 km (0.096 R)
• M59: 24,234,556 km (0.041 R)
• M60: 24,762,636 km (0.047 R)
• M61: 25,781,248 km (0.115 R)
• M62: 26,616,004 km (0.107 R)
• M63: 27,061,357 km (0.102 R)
• M64: 28,665,196 km (0.081 R)
• M65: 29,020,192 km (0.093 R)
• M66: 29,529,722 km (0.065 R)
• M67: 30,042,244 km (0.118 R)
• M68: 30,299,702 km (0.088 R)
• M69: 30,402,775 km (0.1 R)
• M70: 31,492,895 km (0.047 R)
• M71: 32,121,655 km (0.101 R)
• M72: 32,807,411 km (0.049 R)
• M73: 33,178,713 km (0.082 R)
• M74: 33,285,077 km (0.096 R)
• M75: 33,551,362 km (0.096 R)
• M76: 34,515,969 km (0.097 R)
• M77: 34,623,829 km (0.047 R)
• M78: 35,272,635 km (0.106 R)
• M79: 35,435,397 km (0.114 R)
• M80: 35,598,609 km (0.108 R)
• M81: 36,198,646 km (0.097 R)
• M82: 36,362,904 km (0.12 R)

Planet 6 - Gas Giant

Semi-Major Axis: 8.96 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 942.9

Radius: 10.7

Gravity: 8.24 G

Time & Orbit

Eccentricity (e): 0.014

Orbit Range: 8.83 AU - 9.09 AU

Year: 10213 Days

Day: 6.8 Hours

Environment

Temp: -181 °C

Axial Tilt: 27.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (89)

Outer Limit: 63,341,484 km

• M1: 137,929 km (0.037 R)
• M2: 564,582 km (0.109 R)
• M3: 682,765 km (0.07 R)
• M4: 925,861 km (0.067 R)
• M5: 1,006,494 km (0.026 R)
• M6: 1,330,823 km (0.081 R)
• M7: 1,469,799 km (0.08 R)
• M8: 1,589,477 km (0.117 R)
• M9: 2,264,164 km (0.072 R)
• M10: 2,403,439 km (0.08 R)
• M11: 2,488,411 km (0.088 R)
• M12: 3,235,503 km (0.061 R)
• M13: 4,425,255 km (0.104 R)
• M14: 4,600,434 km (0.095 R)
• M15: 5,324,188 km (0.102 R)
• M16: 5,473,188 km (0.109 R)
• M17: 6,121,994 km (0.071 R)
• M18: 6,199,934 km (0.098 R)
• M19: 6,278,174 km (0.086 R)
• M20: 6,554,780 km (0.089 R)
• M21: 6,714,700 km (0.057 R)
• M22: 7,038,281 km (0.095 R)
• M23: 7,243,230 km (0.117 R)
• M24: 7,616,925 km (0.094 R)
• M25: 7,912,082 km (0.057 R)
• M26: 8,557,148 km (0.079 R)
• M27: 8,952,385 km (0.059 R)
• M28: 9,040,947 km (0.107 R)
• M29: 9,760,663 km (0.117 R)
• M30: 10,173,553 km (0.061 R)
• M31: 10,545,304 km (0.099 R)
• M32: 10,733,049 km (0.077 R)
• M33: 10,827,146 km (0.079 R)
• M34: 12,125,955 km (0.049 R)
• M35: 12,421,261 km (0.104 R)
• M36: 12,669,294 km (0.056 R)
• M37: 12,868,708 km (0.095 R)
• M38: 13,270,977 km (0.117 R)
• M39: 14,139,243 km (0.078 R)
• M40: 14,710,856 km (0.083 R)
• M41: 15,025,909 km (0.074 R)
• M42: 17,847,924 km (0.065 R)
• M43: 18,691,805 km (0.119 R)
• M44: 19,033,038 km (0.083 R)
• M45: 19,204,477 km (0.118 R)
• M46: 19,606,297 km (0.095 R)
• M47: 19,779,382 km (0.119 R)
• M48: 20,069,003 km (0.095 R)
• M49: 21,182,460 km (0.104 R)
• M50: 21,538,204 km (0.089 R)
• M51: 23,102,549 km (0.11 R)
• M52: 23,224,471 km (0.05 R)
• M53: 24,890,393 km (0.07 R)
• M54: 25,706,150 km (0.053 R)
• M55: 28,466,530 km (0.11 R)
• M56: 28,924,748 km (0.103 R)
• M57: 29,649,700 km (0.088 R)
• M58: 30,180,772 km (0.118 R)
• M59: 30,247,343 km (0.088 R)
• M60: 30,714,836 km (0.082 R)
• M61: 31,386,980 km (0.058 R)
• M62: 32,199,894 km (0.085 R)
• M63: 33,985,046 km (0.088 R)
• M64: 34,192,987 km (0.119 R)
• M65: 34,471,089 km (0.116 R)
• M66: 34,749,790 km (0.094 R)
• M67: 35,169,412 km (0.084 R)
• M68: 37,650,343 km (0.092 R)
• M69: 38,225,398 km (0.101 R)
• M70: 39,602,596 km (0.112 R)
• M71: 39,821,457 km (0.098 R)
• M72: 40,187,224 km (0.087 R)
• M73: 40,554,188 km (0.08 R)
• M74: 41,291,406 km (0.116 R)
• M75: 41,809,912 km (0.094 R)
• M76: 43,003,554 km (0.119 R)
• M77: 45,729,825 km (0.102 R)
• M78: 49,058,677 km (0.089 R)
• M79: 49,137,066 km (0.078 R)
• M80: 50,317,244 km (0.098 R)
• M81: 50,396,231 km (0.095 R)
• M82: 50,475,219 km (0.092 R)
• M83: 51,586,283 km (0.109 R)
• M84: 51,745,754 km (0.12 R)
• M85: 51,825,490 km (0.07 R)
• M86: 53,107,095 km (0.07 R)
• M87: 53,187,578 km (0.105 R)
• M88: 53,268,062 km (0.107 R)
• M89: 54,075,142 km (0.071 R)

Planet 7 - Gas Giant

Semi-Major Axis: 8.99 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 773.7

Radius: 14.7

Gravity: 3.58 G

Time & Orbit

Eccentricity (e): 0.22

Orbit Range: 7.01 AU - 10.97 AU

Year: 10264 Days

Day: 7.8 Hours

Environment

Temp: -186 °C

Axial Tilt: 14.3 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (77)

Outer Limit: 63,341,484 km

• M1: 257,757 km (0.086 R)
• M2: 698,472 km (0.057 R)
• M3: 1,327,980 km (0.053 R)
• M4: 1,664,725 km (0.07 R)
• M5: 1,929,513 km (0.109 R)
• M6: 2,105,291 km (0.117 R)
• M7: 2,208,364 km (0.032 R)
• M8: 2,527,755 km (0.043 R)
• M9: 2,919,702 km (0.114 R)
• M10: 3,152,476 km (0.12 R)
• M11: 3,271,257 km (0.098 R)
• M12: 3,482,938 km (0.057 R)
• M13: 3,983,642 km (0.093 R)
• M14: 4,210,133 km (0.112 R)
• M15: 4,608,213 km (0.092 R)
• M16: 4,811,965 km (0.066 R)
• M17: 4,914,888 km (0.072 R)
• M18: 5,053,416 km (0.114 R)
• M19: 6,282,961 km (0.119 R)
• M20: 6,547,300 km (0.064 R)
• M21: 7,048,154 km (0.084 R)
• M22: 7,561,424 km (0.058 R)
• M23: 7,883,359 km (0.062 R)
• M24: 8,333,349 km (0.058 R)
• M25: 8,834,053 km (0.054 R)
• M26: 9,516,818 km (0.046 R)
• M27: 9,646,819 km (0.098 R)
• M28: 10,216,787 km (0.083 R)
• M29: 11,435,411 km (0.079 R)
• M30: 12,652,090 km (0.117 R)
• M31: 12,842,977 km (0.03 R)
• M32: 13,324,234 km (0.112 R)
• M33: 13,469,792 km (0.069 R)
• M34: 13,567,180 km (0.119 R)
• M35: 14,354,364 km (0.079 R)
• M36: 16,231,219 km (0.065 R)
• M37: 17,649,108 km (0.097 R)
• M38: 18,076,808 km (0.045 R)
• M39: 19,270,749 km (0.102 R)
• M40: 19,380,554 km (0.108 R)
• M41: 19,600,762 km (0.097 R)
• M42: 20,883,264 km (0.092 R)
• M43: 22,192,844 km (0.105 R)
• M44: 23,587,545 km (0.055 R)
• M45: 24,177,110 km (0.096 R)
• M46: 24,890,991 km (0.115 R)
• M47: 25,070,509 km (0.098 R)
• M48: 27,012,439 km (0.092 R)
• M49: 27,939,347 km (0.114 R)
• M50: 28,063,663 km (0.11 R)
• M51: 28,625,702 km (0.116 R)
• M52: 29,760,701 km (0.097 R)
• M53: 30,333,811 km (0.103 R)
• M54: 30,525,745 km (0.073 R)
• M55: 30,782,155 km (0.09 R)
• M56: 31,426,324 km (0.103 R)
• M57: 32,009,905 km (0.102 R)
• M58: 34,047,279 km (0.112 R)
• M59: 35,855,767 km (0.092 R)
• M60: 36,805,863 km (0.104 R)
• M61: 37,078,879 km (0.063 R)
• M62: 38,315,455 km (0.105 R)
• M63: 38,661,475 km (0.12 R)
• M64: 40,617,767 km (0.065 R)
• M65: 41,395,077 km (0.08 R)
• M66: 42,248,683 km (0.117 R)
• M67: 42,391,549 km (0.086 R)
• M68: 42,534,564 km (0.094 R)
• M69: 44,698,797 km (0.12 R)
• M70: 45,063,067 km (0.105 R)
• M71: 45,647,696 km (0.07 R)
• M72: 47,565,541 km (0.085 R)
• M73: 48,459,537 km (0.072 R)
• M74: 48,609,135 km (0.087 R)
• M75: 48,758,733 km (0.114 R)
• M76: 49,509,565 km (0.075 R)
• M77: 49,735,607 km (0.096 R)

Planet 8 - Gas Giant

Semi-Major Axis: 10.52 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 936.3

Radius: 13.9

Gravity: 4.85 G

Time & Orbit

Eccentricity (e): 0.217

Orbit Range: 8.24 AU - 12.8 AU

Year: 12993 Days

Day: 13.4 Hours

Environment

Temp: -185 °C

Axial Tilt: 6.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (85)

Outer Limit: 63,341,484 km

• M1: 202,256 km (0.108 R)
• M2: 365,168 km (0.06 R)
• M3: 468,840 km (0.104 R)
• M4: 697,276 km (0.108 R)
• M5: 796,010 km (0.097 R)
• M6: 943,663 km (0.093 R)
• M7: 1,683,425 km (0.052 R)
• M8: 2,081,206 km (0.081 R)
• M9: 2,352,875 km (0.1 R)
• M10: 3,271,406 km (0.119 R)
• M11: 4,368,258 km (0.11 R)
• M12: 4,757,661 km (0.098 R)
• M13: 5,037,110 km (0.064 R)
• M14: 5,199,274 km (0.108 R)
• M15: 5,322,094 km (0.108 R)
• M16: 5,822,798 km (0.108 R)
• M17: 6,165,227 km (0.101 R)
• M18: 7,692,921 km (0.09 R)
• M19: 7,927,191 km (0.119 R)
• M20: 8,069,010 km (0.065 R)
• M21: 8,307,020 km (0.087 R)
• M22: 8,547,424 km (0.11 R)
• M23: 9,183,364 km (0.119 R)
• M24: 9,935,991 km (0.105 R)
• M25: 11,128,586 km (0.112 R)
• M26: 11,447,229 km (0.068 R)
• M27: 11,768,715 km (0.032 R)
• M28: 11,984,884 km (0.098 R)
• M29: 12,202,250 km (0.109 R)
• M30: 12,311,456 km (0.05 R)
• M31: 13,196,776 km (0.07 R)
• M32: 14,045,295 km (0.094 R)
• M33: 14,159,887 km (0.063 R)
• M34: 14,332,074 km (0.116 R)
• M35: 15,086,945 km (0.066 R)
• M36: 16,153,428 km (0.046 R)
• M37: 16,333,544 km (0.065 R)
• M38: 16,574,696 km (0.087 R)
• M39: 18,672,357 km (0.091 R)
• M40: 19,432,464 km (0.119 R)
• M41: 19,752,304 km (0.062 R)
• M42: 19,944,987 km (0.095 R)
• M43: 21,048,720 km (0.095 R)
• M44: 21,442,910 km (0.111 R)
• M45: 21,640,978 km (0.081 R)
• M46: 22,640,441 km (0.07 R)
• M47: 22,909,568 km (0.087 R)
• M48: 23,859,664 km (0.107 R)
• M49: 25,378,680 km (0.112 R)
• M50: 26,290,928 km (0.118 R)
• M51: 27,071,231 km (0.111 R)
• M52: 28,075,332 km (0.114 R)
• M53: 28,219,843 km (0.094 R)
• M54: 29,898,780 km (0.111 R)
• M55: 30,564,491 km (0.092 R)
• M56: 31,985,970 km (0.055 R)
• M57: 32,818,930 km (0.093 R)
• M58: 34,583,288 km (0.059 R)
• M59: 37,247,626 km (0.102 R)
• M60: 37,644,958 km (0.104 R)
• M61: 38,043,786 km (0.05 R)
• M62: 38,203,706 km (0.048 R)
• M63: 39,329,280 km (0.078 R)
• M64: 40,221,332 km (0.12 R)
• M65: 40,547,306 km (0.082 R)
• M66: 40,792,497 km (0.073 R)
• M67: 41,038,137 km (0.099 R)
• M68: 41,284,225 km (0.066 R)
• M69: 43,103,784 km (0.097 R)
• M70: 43,604,638 km (0.089 R)
• M71: 45,542,229 km (0.08 R)
• M72: 47,164,020 km (0.108 R)
• M73: 47,507,796 km (0.095 R)
• M74: 52,408,323 km (0.105 R)
• M75: 53,837,731 km (0.118 R)
• M76: 56,187,763 km (0.109 R)
• M77: 58,202,398 km (0.03 R)
• M78: 58,294,550 km (0.117 R)
• M79: 58,940,813 km (0.108 R)
• M80: 59,311,217 km (0.111 R)
• M81: 59,775,270 km (0.061 R)
• M82: 60,707,115 km (0.086 R)
• M83: 60,987,462 km (0.101 R)
• M84: 62,396,374 km (0.116 R)
• M85: 62,585,017 km (0.043 R)

Kuiper Belt

Range: 30 - 57 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 229 - 13,287 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit