🌌 Stone's Star System Generator

Planet 1 - Gas Giant

Semi-Major Axis: 1.03 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 793.3

Radius: 14.4

Gravity: 3.83 G

Time & Orbit

Eccentricity (e): 0.224

Orbit Range: 0.8 AU - 1.26 AU

Year: 686 Days

Day: 10.6 Hours

Environment

Temp: -164 °C

Axial Tilt: 33.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (47)

Outer Limit: 48,057,736 km

• M1: 179,817 km (0.082 R)
• M2: 279,748 km (0.096 R)
• M3: 376,388 km (0.119 R)
• M4: 471,981 km (0.102 R)
• M5: 606,769 km (0.077 R)
• M6: 707,299 km (0.09 R)
• M7: 1,036,564 km (0.048 R)
• M8: 1,216,979 km (0.108 R)
• M9: 1,408,614 km (0.039 R)
• M10: 1,562,550 km (0.116 R)
• M11: 1,729,651 km (0.116 R)
• M12: 1,851,722 km (0.107 R)
• M13: 2,029,295 km (0.111 R)
• M14: 2,166,327 km (0.098 R)
• M15: 2,369,780 km (0.086 R)
• M16: 2,465,971 km (0.07 R)
• M17: 2,654,165 km (0.115 R)
• M18: 2,881,255 km (0.081 R)
• M19: 2,992,855 km (0.12 R)
• M20: 3,097,424 km (0.083 R)
• M21: 3,229,668 km (0.114 R)
• M22: 3,381,959 km (0.084 R)
• M23: 3,564,169 km (0.113 R)
• M24: 3,656,621 km (0.104 R)
• M25: 3,872,341 km (0.107 R)
• M26: 3,986,484 km (0.071 R)
• M27: 4,092,250 km (0.108 R)
• M28: 4,189,189 km (0.116 R)
• M29: 4,355,692 km (0.043 R)
• M30: 4,971,885 km (0.08 R)
• M31: 5,117,145 km (0.04 R)
• M32: 5,295,615 km (0.101 R)
• M33: 5,734,386 km (0.071 R)
• M34: 5,832,372 km (0.113 R)
• M35: 5,952,798 km (0.115 R)
• M36: 6,085,193 km (0.06 R)
• M37: 6,443,180 km (0.064 R)
• M38: 6,601,904 km (0.102 R)
• M39: 6,727,566 km (0.071 R)
• M40: 6,865,645 km (0.103 R)
• M41: 6,992,952 km (0.116 R)
• M42: 7,156,164 km (0.109 R)
• M43: 7,308,903 km (0.105 R)
• M44: 7,677,662 km (0.095 R)
• M45: 7,846,109 km (0.097 R)
• M46: 8,076,789 km (0.113 R)
• M47: 8,186,893 km (0.101 R)

Planet 2 - Gas Giant

Semi-Major Axis: 1.24 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 352.6

Radius: 13.9

Gravity: 1.82 G

Time & Orbit

Eccentricity (e): 0.247

Orbit Range: 0.93 AU - 1.55 AU

Year: 906 Days

Day: 8.7 Hours

Environment

Temp: -174 °C

Axial Tilt: 10.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (45)

Outer Limit: 48,057,736 km

• M1: 176,376 km (0.104 R)
• M2: 373,995 km (0.106 R)
• M3: 460,612 km (0.076 R)
• M4: 552,764 km (0.072 R)
• M5: 708,496 km (0.113 R)
• M6: 860,637 km (0.11 R)
• M7: 1,008,439 km (0.115 R)
• M8: 1,097,151 km (0.117 R)
• M9: 1,229,694 km (0.118 R)
• M10: 1,430,006 km (0.088 R)
• M11: 1,563,447 km (0.061 R)
• M12: 1,687,913 km (0.062 R)
• M13: 1,926,372 km (0.086 R)
• M14: 2,067,742 km (0.088 R)
• M15: 2,176,200 km (0.112 R)
• M16: 2,316,224 km (0.113 R)
• M17: 2,421,541 km (0.111 R)
• M18: 2,513,095 km (0.07 R)
• M19: 2,835,029 km (0.066 R)
• M20: 3,046,261 km (0.114 R)
• M21: 3,195,560 km (0.104 R)
• M22: 3,321,821 km (0.086 R)
• M23: 3,518,991 km (0.116 R)
• M24: 3,632,087 km (0.077 R)
• M25: 3,719,901 km (0.097 R)
• M26: 3,808,463 km (0.054 R)
• M27: 3,915,874 km (0.057 R)
• M28: 4,133,389 km (0.105 R)
• M29: 4,280,743 km (0.098 R)
• M30: 4,429,892 km (0.085 R)
• M31: 4,609,410 km (0.102 R)
• M32: 4,820,193 km (0.077 R)
• M33: 4,926,707 km (0.116 R)
• M34: 5,053,715 km (0.06 R)
• M35: 5,351,116 km (0.05 R)
• M36: 5,674,696 km (0.102 R)
• M37: 5,859,599 km (0.052 R)
• M38: 6,025,653 km (0.083 R)
• M39: 6,130,222 km (0.093 R)
• M40: 6,256,482 km (0.074 R)
• M41: 6,458,290 km (0.105 R)
• M42: 6,802,963 km (0.116 R)
• M43: 7,220,341 km (0.117 R)
• M44: 7,432,172 km (0.115 R)
• M45: 7,645,947 km (0.051 R)

Planet 3 - Gas Giant

Semi-Major Axis: 1.31 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 681.9

Radius: 12.4

Gravity: 4.43 G

Time & Orbit

Eccentricity (e): 0.11

Orbit Range: 1.17 AU - 1.45 AU

Year: 984 Days

Day: 6.2 Hours

Environment

Temp: -162 °C

Axial Tilt: 19.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (53)

Outer Limit: 48,057,736 km

• M1: 155,881 km (0.084 R)
• M2: 276,756 km (0.11 R)
• M3: 486,193 km (0.048 R)
• M4: 576,999 km (0.116 R)
• M5: 669,151 km (0.115 R)
• M6: 953,387 km (0.052 R)
• M7: 1,059,303 km (0.11 R)
• M8: 1,169,556 km (0.074 R)
• M9: 1,320,351 km (0.115 R)
• M10: 1,594,713 km (0.081 R)
• M11: 1,887,776 km (0.066 R)
• M12: 2,154,209 km (0.093 R)
• M13: 2,269,699 km (0.043 R)
• M14: 2,506,961 km (0.09 R)
• M15: 2,695,155 km (0.116 R)
• M16: 2,849,091 km (0.068 R)
• M17: 3,176,112 km (0.027 R)
• M18: 3,308,207 km (0.063 R)
• M19: 3,536,194 km (0.112 R)
• M20: 3,801,581 km (0.073 R)
• M21: 3,909,591 km (0.063 R)
• M22: 4,095,541 km (0.065 R)
• M23: 4,184,252 km (0.047 R)
• M24: 4,262,193 km (0.052 R)
• M25: 4,453,828 km (0.103 R)
• M26: 4,671,343 km (0.097 R)
• M27: 4,833,956 km (0.113 R)
• M28: 4,974,728 km (0.074 R)
• M29: 5,188,653 km (0.089 R)
• M30: 5,272,577 km (0.039 R)
• M31: 5,466,306 km (0.104 R)
• M32: 5,564,143 km (0.057 R)
• M33: 5,699,529 km (0.104 R)
• M34: 5,973,593 km (0.113 R)
• M35: 6,086,988 km (0.025 R)
• M36: 6,175,699 km (0.106 R)
• M37: 6,367,334 km (0.067 R)
• M38: 7,006,865 km (0.114 R)
• M39: 7,395,072 km (0.092 R)
• M40: 7,503,380 km (0.082 R)
• M41: 7,721,644 km (0.102 R)
• M42: 7,997,502 km (0.09 R)
• M43: 8,094,741 km (0.066 R)
• M44: 8,262,590 km (0.107 R)
• M45: 8,772,718 km (0.097 R)
• M46: 8,858,887 km (0.066 R)
• M47: 8,945,205 km (0.034 R)
• M48: 9,118,589 km (0.091 R)
• M49: 9,322,491 km (0.05 R)
• M50: 9,439,626 km (0.059 R)
• M51: 9,645,921 km (0.112 R)
• M52: 9,972,942 km (0.068 R)
• M53: 10,152,908 km (0.112 R)

Planet 4 - Gas Giant

Semi-Major Axis: 1.37 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 258.5

Radius: 10.3

Gravity: 2.44 G

Time & Orbit

Eccentricity (e): 0.142

Orbit Range: 1.18 AU - 1.56 AU

Year: 1052 Days

Day: 12 Hours

Environment

Temp: -176 °C

Axial Tilt: 39.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (50)

Outer Limit: 48,057,736 km

• M1: 128,804 km (0.033 R)
• M2: 203,004 km (0.052 R)
• M3: 287,078 km (0.089 R)
• M4: 534,214 km (0.051 R)
• M5: 618,438 km (0.094 R)
• M6: 688,599 km (0.104 R)
• M7: 761,752 km (0.093 R)
• M8: 837,748 km (0.102 R)
• M9: 911,350 km (0.102 R)
• M10: 981,811 km (0.086 R)
• M11: 1,048,681 km (0.103 R)
• M12: 1,193,043 km (0.07 R)
• M13: 1,282,951 km (0.077 R)
• M14: 1,425,668 km (0.106 R)
• M15: 1,521,560 km (0.079 R)
• M16: 1,760,917 km (0.11 R)
• M17: 2,381,449 km (0.088 R)
• M18: 2,457,743 km (0.094 R)
• M19: 2,739,735 km (0.079 R)
• M20: 2,852,233 km (0.052 R)
• M21: 2,925,386 km (0.117 R)
• M22: 3,007,366 km (0.102 R)
• M23: 3,182,096 km (0.088 R)
• M24: 3,292,051 km (0.083 R)
• M25: 3,394,675 km (0.117 R)
• M26: 3,541,879 km (0.12 R)
• M27: 3,833,745 km (0.116 R)
• M28: 3,923,803 km (0.094 R)
• M29: 4,170,340 km (0.082 R)
• M30: 4,337,740 km (0.087 R)
• M31: 4,775,164 km (0.105 R)
• M32: 4,969,940 km (0.104 R)
• M33: 5,197,030 km (0.102 R)
• M34: 5,266,892 km (0.04 R)
• M35: 5,397,491 km (0.11 R)
• M36: 5,559,506 km (0.04 R)
• M37: 5,733,638 km (0.095 R)
• M38: 5,857,505 km (0.082 R)
• M39: 6,013,834 km (0.065 R)
• M40: 6,097,609 km (0.111 R)
• M41: 6,192,454 km (0.106 R)
• M42: 6,319,762 km (0.074 R)
• M43: 6,512,145 km (0.076 R)
• M44: 6,587,542 km (0.118 R)
• M45: 6,728,314 km (0.113 R)
• M46: 6,848,291 km (0.1 R)
• M47: 7,079,121 km (0.097 R)
• M48: 7,167,832 km (0.101 R)
• M49: 7,301,423 km (0.118 R)
• M50: 7,379,813 km (0.118 R)

Planet 5 - Gas Giant

Semi-Major Axis: 2.42 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 667.5

Radius: 15

Gravity: 2.97 G

Time & Orbit

Eccentricity (e): 0.1

Orbit Range: 2.18 AU - 2.66 AU

Year: 2470 Days

Day: 10 Hours

Environment

Temp: -204 °C

Axial Tilt: 24 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (61)

Outer Limit: 48,057,736 km

• M1: 207,941 km (0.111 R)
• M2: 329,115 km (0.075 R)
• M3: 431,889 km (0.119 R)
• M4: 544,387 km (0.039 R)
• M5: 645,515 km (0.056 R)
• M6: 843,882 km (0.114 R)
• M7: 1,004,998 km (0.108 R)
• M8: 1,115,402 km (0.088 R)
• M9: 1,600,847 km (0.08 R)
• M10: 1,905,428 km (0.112 R)
• M11: 2,097,512 km (0.086 R)
• M12: 2,255,936 km (0.077 R)
• M13: 2,557,226 km (0.077 R)
• M14: 2,698,596 km (0.084 R)
• M15: 2,871,830 km (0.108 R)
• M16: 2,974,604 km (0.103 R)
• M17: 3,398,415 km (0.099 R)
• M18: 3,523,179 km (0.11 R)
• M19: 3,809,510 km (0.083 R)
• M20: 3,988,429 km (0.025 R)
• M21: 4,405,358 km (0.117 R)
• M22: 4,558,846 km (0.089 R)
• M23: 5,012,875 km (0.106 R)
• M24: 5,173,394 km (0.113 R)
• M25: 5,426,663 km (0.084 R)
• M26: 5,628,470 km (0.084 R)
• M27: 5,870,370 km (0.103 R)
• M28: 6,002,016 km (0.031 R)
• M29: 6,096,712 km (0.085 R)
• M30: 6,519,176 km (0.088 R)
• M31: 6,753,745 km (0.102 R)
• M32: 6,951,364 km (0.112 R)
• M33: 7,150,928 km (0.104 R)
• M34: 7,271,504 km (0.094 R)
• M35: 7,474,209 km (0.104 R)
• M36: 8,156,076 km (0.025 R)
• M37: 8,324,523 km (0.081 R)
• M38: 8,600,531 km (0.067 R)
• M39: 8,901,373 km (0.061 R)
• M40: 9,358,992 km (0.091 R)
• M41: 9,491,087 km (0.054 R)
• M42: 10,251,942 km (0.096 R)
• M43: 10,662,887 km (0.096 R)
• M44: 10,870,230 km (0.054 R)
• M45: 11,359,565 km (0.066 R)
• M46: 11,524,272 km (0.115 R)
• M47: 11,618,668 km (0.099 R)
• M48: 11,737,150 km (0.096 R)
• M49: 11,951,523 km (0.094 R)
• M50: 12,456,566 km (0.105 R)
• M51: 12,675,128 km (0.09 R)
• M52: 13,812,222 km (0.079 R)
• M53: 13,912,752 km (0.077 R)
• M54: 14,520,418 km (0.077 R)
• M55: 14,904,735 km (0.117 R)
• M56: 15,945,787 km (0.077 R)
• M57: 16,156,869 km (0.103 R)
• M58: 16,876,136 km (0.115 R)
• M59: 17,253,122 km (0.093 R)
• M60: 17,823,988 km (0.076 R)
• M61: 18,043,149 km (0.032 R)

Planet 6 - Gas Giant

Semi-Major Axis: 4.38 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 554.5

Radius: 13.2

Gravity: 3.18 G

Time & Orbit

Eccentricity (e): 0.052

Orbit Range: 4.15 AU - 4.61 AU

Year: 6013 Days

Day: 14.3 Hours

Environment

Temp: -205 °C

Axial Tilt: 18.1 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (80)

Outer Limit: 48,057,736 km

• M1: 172,187 km (0.059 R)
• M2: 407,953 km (0.103 R)
• M3: 921,224 km (0.044 R)
• M4: 1,210,845 km (0.115 R)
• M5: 1,631,066 km (0.062 R)
• M6: 1,787,246 km (0.062 R)
• M7: 2,040,515 km (0.093 R)
• M8: 2,152,713 km (0.104 R)
• M9: 2,286,304 km (0.1 R)
• M10: 2,807,054 km (0.111 R)
• M11: 2,953,660 km (0.087 R)
• M12: 3,038,632 km (0.109 R)
• M13: 3,167,735 km (0.06 R)
• M14: 3,254,801 km (0.04 R)
• M15: 3,725,137 km (0.074 R)
• M16: 3,956,864 km (0.088 R)
• M17: 4,265,185 km (0.069 R)
• M18: 4,361,676 km (0.092 R)
• M19: 4,606,268 km (0.097 R)
• M20: 4,880,481 km (0.11 R)
• M21: 5,185,661 km (0.076 R)
• M22: 5,761,762 km (0.042 R)
• M23: 6,441,236 km (0.112 R)
• M24: 6,580,212 km (0.11 R)
• M25: 6,832,883 km (0.038 R)
• M26: 6,974,702 km (0.105 R)
• M27: 7,493,208 km (0.113 R)
• M28: 7,875,580 km (0.101 R)
• M29: 7,964,740 km (0.12 R)
• M30: 8,355,041 km (0.056 R)
• M31: 8,751,475 km (0.113 R)
• M32: 9,154,193 km (0.076 R)
• M33: 9,373,653 km (0.116 R)
• M34: 10,301,160 km (0.104 R)
• M35: 10,891,473 km (0.093 R)
• M36: 11,257,838 km (0.059 R)
• M37: 11,594,284 km (0.082 R)
• M38: 12,519,397 km (0.071 R)
• M39: 12,868,110 km (0.045 R)
• M40: 13,361,633 km (0.094 R)
• M41: 13,682,221 km (0.067 R)
• M42: 13,825,536 km (0.11 R)
• M43: 14,041,406 km (0.1 R)
• M44: 14,222,120 km (0.103 R)
• M45: 14,403,732 km (0.11 R)
• M46: 14,512,938 km (0.119 R)
• M47: 15,471,861 km (0.097 R)
• M48: 15,921,253 km (0.053 R)
• M49: 16,185,442 km (0.106 R)
• M50: 16,527,274 km (0.083 R)
• M51: 17,140,924 km (0.094 R)
• M52: 17,450,442 km (0.05 R)
• M53: 18,272,034 km (0.067 R)
• M54: 18,667,720 km (0.109 R)
• M55: 18,906,478 km (0.058 R)
• M56: 20,319,280 km (0.09 R)
• M57: 20,729,179 km (0.032 R)
• M58: 21,266,235 km (0.047 R)
• M59: 21,474,026 km (0.089 R)
• M60: 22,862,145 km (0.057 R)
• M61: 23,717,546 km (0.111 R)
• M62: 24,062,668 km (0.092 R)
• M63: 24,235,753 km (0.096 R)
• M64: 24,714,167 km (0.109 R)
• M65: 25,547,876 km (0.12 R)
• M66: 25,636,138 km (0.084 R)
• M67: 26,079,098 km (0.083 R)
• M68: 26,167,959 km (0.112 R)
• M69: 26,346,130 km (0.064 R)
• M70: 27,287,848 km (0.044 R)
• M71: 27,694,755 km (0.12 R)
• M72: 28,058,277 km (0.112 R)
• M73: 29,111,895 km (0.116 R)
• M74: 29,250,273 km (0.069 R)
• M75: 29,435,176 km (0.047 R)
• M76: 30,038,654 km (0.107 R)
• M77: 30,412,050 km (0.085 R)
• M78: 31,257,877 km (0.074 R)
• M79: 31,352,423 km (0.056 R)
• M80: 31,494,241 km (0.063 R)

Planet 7 - Gas Giant

Semi-Major Axis: 5.61 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 908.6

Radius: 9.5

Gravity: 10.07 G

Time & Orbit

Eccentricity (e): 0.203

Orbit Range: 4.47 AU - 6.75 AU

Year: 8717 Days

Day: 9.1 Hours

Environment

Temp: -211 °C

Axial Tilt: 7.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (88)

Outer Limit: 48,057,736 km

• M1: 152,440 km (0.102 R)
• M2: 330,761 km (0.07 R)
• M3: 670,348 km (0.033 R)
• M4: 840,441 km (0.032 R)
• M5: 912,547 km (0.096 R)
• M6: 1,499,719 km (0.104 R)
• M7: 1,656,946 km (0.054 R)
• M8: 2,135,958 km (0.066 R)
• M9: 2,287,800 km (0.079 R)
• M10: 2,469,711 km (0.112 R)
• M11: 3,015,295 km (0.025 R)
• M12: 3,302,074 km (0.079 R)
• M13: 3,419,209 km (0.093 R)
• M14: 3,688,036 km (0.103 R)
• M15: 4,025,978 km (0.088 R)
• M16: 4,151,341 km (0.09 R)
• M17: 4,214,471 km (0.049 R)
• M18: 4,278,050 km (0.112 R)
• M19: 4,930,746 km (0.111 R)
• M20: 4,997,616 km (0.037 R)
• M21: 5,371,611 km (0.099 R)
• M22: 5,719,426 km (0.076 R)
• M23: 5,896,101 km (0.073 R)
• M24: 5,967,309 km (0.114 R)
• M25: 6,547,151 km (0.051 R)
• M26: 6,956,301 km (0.096 R)
• M27: 7,335,382 km (0.08 R)
• M28: 8,193,176 km (0.109 R)
• M29: 8,513,016 km (0.085 R)
• M30: 9,288,831 km (0.051 R)
• M31: 9,496,772 km (0.063 R)
• M32: 9,664,172 km (0.11 R)
• M33: 9,748,396 km (0.102 R)
• M34: 10,215,291 km (0.07 R)
• M35: 10,689,516 km (0.106 R)
• M36: 10,907,480 km (0.109 R)
• M37: 11,347,896 km (0.035 R)
• M38: 12,888,305 km (0.105 R)
• M39: 13,166,857 km (0.099 R)
• M40: 13,635,696 km (0.091 R)
• M41: 13,777,365 km (0.092 R)
• M42: 14,637,852 km (0.026 R)
• M43: 14,977,290 km (0.06 R)
• M44: 15,074,678 km (0.044 R)
• M45: 15,614,427 km (0.028 R)
• M46: 15,812,196 km (0.09 R)
• M47: 17,118,185 km (0.09 R)
• M48: 17,732,584 km (0.104 R)
• M49: 19,088,539 km (0.062 R)
• M50: 19,459,392 km (0.076 R)
• M51: 19,565,756 km (0.06 R)
• M52: 21,184,405 km (0.057 R)
• M53: 21,623,175 km (0.108 R)
• M54: 21,733,429 km (0.054 R)
• M55: 22,065,088 km (0.098 R)
• M56: 22,509,992 km (0.116 R)
• M57: 22,957,738 km (0.068 R)
• M58: 23,408,476 km (0.092 R)
• M59: 23,748,512 km (0.091 R)
• M60: 24,147,340 km (0.112 R)
• M61: 24,376,075 km (0.093 R)
• M62: 26,174,092 km (0.09 R)
• M63: 26,291,527 km (0.102 R)
• M64: 27,178,044 km (0.079 R)
• M65: 28,375,275 km (0.082 R)
• M66: 28,495,851 km (0.066 R)
• M67: 28,798,338 km (0.104 R)
• M68: 29,101,872 km (0.105 R)
• M69: 29,834,453 km (0.109 R)
• M70: 29,895,788 km (0.106 R)
• M71: 30,080,093 km (0.113 R)
• M72: 32,762,382 km (0.1 R)
• M73: 32,952,372 km (0.113 R)
• M74: 33,206,239 km (0.108 R)
• M75: 35,066,040 km (0.069 R)
• M76: 35,976,044 km (0.111 R)
• M77: 36,762,181 km (0.087 R)
• M78: 37,487,880 km (0.084 R)
• M79: 38,218,217 km (0.051 R)
• M80: 38,418,229 km (0.102 R)
• M81: 39,760,421 km (0.065 R)
• M82: 40,913,372 km (0.104 R)
• M83: 40,981,439 km (0.102 R)
• M84: 41,186,239 km (0.041 R)
• M85: 43,390,862 km (0.064 R)
• M86: 44,157,551 km (0.065 R)
• M87: 46,413,338 km (0.068 R)
• M88: 48,057,718 km (0.086 R)

Kuiper Belt

Range: 30 - 48 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 238 - 17,498 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit