🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.98 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 2.89

Radius: 1.53

Gravity: 1.23 G

Time & Orbit

Eccentricity (e): 0.137

Orbit Range: 0.85 AU - 1.11 AU

Year: 427 Days

Day: 22.6 Hours

Environment

Temp: -70 °C

Axial Tilt: 35.8 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Satellites (1)

Outer Limit: 78,237,829 km

• M1: 776,563 km (0.085 R)

Planet 2 - Terrestrial

Semi-Major Axis: 1.11 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 0.27

Radius: 0.59

Gravity: 0.78 G

Time & Orbit

Eccentricity (e): 0.148

Orbit Range: 0.95 AU - 1.27 AU

Year: 514 Days

Day: 22 Hours

Environment

Temp: -63 °C

Axial Tilt: 40 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 3 - Gas Giant

Semi-Major Axis: 2.53 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 109

Radius: 13.9

Gravity: 0.56 G

Time & Orbit

Eccentricity (e): 0.055

Orbit Range: 2.39 AU - 2.67 AU

Year: 1769 Days

Day: 11.9 Hours

Environment

Temp: -128 °C

Axial Tilt: 33.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (46)

Outer Limit: 78,237,829 km

• M1: 174,132 km (0.096 R)
• M2: 305,628 km (0.116 R)
• M3: 457,321 km (0.097 R)
• M4: 557,252 km (0.06 R)
• M5: 647,759 km (0.094 R)
• M6: 764,595 km (0.096 R)
• M7: 922,121 km (0.118 R)
• M8: 1,074,113 km (0.086 R)
• M9: 1,266,047 km (0.079 R)
• M10: 1,456,934 km (0.091 R)
• M11: 1,576,163 km (0.105 R)
• M12: 1,698,983 km (0.107 R)
• M13: 2,050,089 km (0.036 R)
• M14: 2,147,178 km (0.061 R)
• M15: 2,323,105 km (0.086 R)
• M16: 2,448,319 km (0.099 R)
• M17: 2,673,015 km (0.118 R)
• M18: 2,779,828 km (0.097 R)
• M19: 2,871,232 km (0.082 R)
• M20: 3,057,332 km (0.077 R)
• M21: 3,282,476 km (0.083 R)
• M22: 3,406,044 km (0.098 R)
• M23: 3,585,263 km (0.109 R)
• M24: 3,703,594 km (0.108 R)
• M25: 3,795,448 km (0.048 R)
• M26: 4,037,946 km (0.107 R)
• M27: 4,295,254 km (0.096 R)
• M28: 4,469,835 km (0.057 R)
• M29: 4,646,809 km (0.053 R)
• M30: 4,746,142 km (0.114 R)
• M31: 4,997,616 km (0.032 R)
• M32: 5,409,309 km (0.117 R)
• M33: 5,545,443 km (0.102 R)
• M34: 5,832,073 km (0.041 R)
• M35: 5,993,339 km (0.087 R)
• M36: 6,167,023 km (0.033 R)
• M37: 6,419,843 km (0.106 R)
• M38: 6,541,915 km (0.1 R)
• M39: 6,642,295 km (0.079 R)
• M40: 6,856,220 km (0.112 R)
• M41: 7,026,612 km (0.032 R)
• M42: 7,348,547 km (0.044 R)
• M43: 7,511,459 km (0.098 R)
• M44: 7,734,360 km (0.069 R)
• M45: 7,840,724 km (0.066 R)
• M46: 7,947,536 km (0.106 R)

Planet 4 - Gas Giant

Semi-Major Axis: 3.42 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 347.9

Radius: 14

Gravity: 1.78 G

Time & Orbit

Eccentricity (e): 0.162

Orbit Range: 2.87 AU - 3.97 AU

Year: 2781 Days

Day: 5.7 Hours

Environment

Temp: -163 °C

Axial Tilt: 2.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (60)

Outer Limit: 78,237,829 km

• M1: 185,651 km (0.075 R)
• M2: 322,832 km (0.081 R)
• M3: 623,973 km (0.12 R)
• M4: 835,803 km (0.116 R)
• M5: 938,427 km (0.096 R)
• M6: 1,073,365 km (0.118 R)
• M7: 1,186,461 km (0.115 R)
• M8: 1,354,160 km (0.109 R)
• M9: 1,456,784 km (0.112 R)
• M10: 1,551,480 km (0.099 R)
• M11: 1,769,892 km (0.074 R)
• M12: 1,871,619 km (0.041 R)
• M13: 2,033,933 km (0.098 R)
• M14: 2,140,895 km (0.108 R)
• M15: 2,249,802 km (0.059 R)
• M16: 2,448,169 km (0.107 R)
• M17: 2,822,912 km (0.089 R)
• M18: 3,037,585 km (0.065 R)
• M19: 3,229,968 km (0.107 R)
• M20: 3,511,960 km (0.08 R)
• M21: 3,743,388 km (0.081 R)
• M22: 3,890,592 km (0.095 R)
• M23: 4,039,890 km (0.112 R)
• M24: 4,191,134 km (0.105 R)
• M25: 4,298,096 km (0.043 R)
• M26: 4,483,598 km (0.081 R)
• M27: 5,170,551 km (0.064 R)
• M28: 5,318,503 km (0.117 R)
• M29: 5,551,577 km (0.103 R)
• M30: 5,737,078 km (0.098 R)
• M31: 5,907,470 km (0.056 R)
• M32: 6,376,310 km (0.077 R)
• M33: 6,588,440 km (0.056 R)
• M34: 6,965,576 km (0.116 R)
• M35: 7,184,288 km (0.104 R)
• M36: 7,294,392 km (0.056 R)
• M37: 8,005,580 km (0.091 R)
• M38: 8,253,913 km (0.077 R)
• M39: 8,504,938 km (0.111 R)
• M40: 8,994,722 km (0.105 R)
• M41: 9,858,649 km (0.104 R)
• M42: 9,981,320 km (0.098 R)
• M43: 10,145,728 km (0.083 R)
• M44: 10,414,705 km (0.038 R)
• M45: 10,602,300 km (0.082 R)
• M46: 11,622,109 km (0.04 R)
• M47: 11,773,352 km (0.096 R)
• M48: 11,969,026 km (0.079 R)
• M49: 12,187,589 km (0.071 R)
• M50: 12,517,901 km (0.096 R)
• M51: 12,940,515 km (0.105 R)
• M52: 13,030,124 km (0.094 R)
• M53: 13,232,530 km (0.036 R)
• M54: 13,367,916 km (0.091 R)
• M55: 13,937,435 km (0.102 R)
• M56: 14,052,326 km (0.109 R)
• M57: 14,282,857 km (0.056 R)
• M58: 14,631,270 km (0.105 R)
• M59: 15,812,645 km (0.112 R)
• M60: 15,908,537 km (0.059 R)

Planet 5 - Gas Giant

Semi-Major Axis: 3.71 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 754.9

Radius: 13.4

Gravity: 4.2 G

Time & Orbit

Eccentricity (e): 0.133

Orbit Range: 3.22 AU - 4.2 AU

Year: 3142 Days

Day: 10 Hours

Environment

Temp: -165 °C

Axial Tilt: 39 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (68)

Outer Limit: 78,237,829 km

• M1: 284,685 km (0.108 R)
• M2: 369,208 km (0.104 R)
• M3: 543,040 km (0.111 R)
• M4: 680,670 km (0.115 R)
• M5: 790,176 km (0.105 R)
• M6: 1,158,636 km (0.06 R)
• M7: 1,268,440 km (0.057 R)
• M8: 1,460,075 km (0.112 R)
• M9: 1,606,831 km (0.059 R)
• M10: 1,988,904 km (0.106 R)
• M11: 2,137,903 km (0.106 R)
• M12: 2,275,084 km (0.063 R)
• M13: 2,639,804 km (0.095 R)
• M14: 2,972,210 km (0.078 R)
• M15: 3,353,685 km (0.046 R)
• M16: 3,532,455 km (0.076 R)
• M17: 3,714,216 km (0.055 R)
• M18: 4,106,462 km (0.081 R)
• M19: 4,810,020 km (0.066 R)
• M20: 4,931,045 km (0.057 R)
• M21: 5,134,947 km (0.117 R)
• M22: 5,956,688 km (0.042 R)
• M23: 6,239,877 km (0.109 R)
• M24: 6,371,972 km (0.12 R)
• M25: 6,505,114 km (0.051 R)
• M26: 6,729,062 km (0.099 R)
• M27: 7,024,069 km (0.111 R)
• M28: 7,277,039 km (0.107 R)
• M29: 7,863,163 km (0.085 R)
• M30: 8,126,007 km (0.06 R)
• M31: 8,562,234 km (0.117 R)
• M32: 8,709,438 km (0.072 R)
• M33: 8,906,908 km (0.08 R)
• M34: 9,281,351 km (0.099 R)
• M35: 9,407,313 km (0.093 R)
• M36: 9,508,441 km (0.093 R)
• M37: 9,711,894 km (0.09 R)
• M38: 9,839,800 km (0.083 R)
• M39: 10,097,258 km (0.108 R)
• M40: 10,513,888 km (0.072 R)
• M41: 10,936,203 km (0.111 R)
• M42: 11,607,299 km (0.114 R)
• M43: 11,961,547 km (0.119 R)
• M44: 12,569,063 km (0.078 R)
• M45: 12,848,662 km (0.072 R)
• M46: 13,101,931 km (0.113 R)
• M47: 13,186,753 km (0.064 R)
• M48: 13,271,874 km (0.104 R)
• M49: 13,527,986 km (0.086 R)
• M50: 13,642,279 km (0.084 R)
• M51: 14,627,381 km (0.032 R)
• M52: 15,366,394 km (0.043 R)
• M53: 15,545,463 km (0.049 R)
• M54: 15,875,775 km (0.114 R)
• M55: 16,512,763 km (0.047 R)
• M56: 16,849,807 km (0.075 R)
• M57: 17,375,194 km (0.075 R)
• M58: 18,347,132 km (0.102 R)
• M59: 18,600,700 km (0.092 R)
• M60: 19,047,549 km (0.033 R)
• M61: 19,368,736 km (0.114 R)
• M62: 19,789,106 km (0.12 R)
• M63: 19,984,181 km (0.117 R)
• M64: 20,343,366 km (0.093 R)
• M65: 20,441,801 km (0.077 R)
• M66: 22,272,729 km (0.093 R)
• M67: 22,441,775 km (0.113 R)
• M68: 22,747,104 km (0.057 R)

Planet 6 - Gas Giant

Semi-Major Axis: 5.99 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 317.6

Radius: 12.8

Gravity: 1.94 G

Time & Orbit

Eccentricity (e): 0.242

Orbit Range: 4.54 AU - 7.44 AU

Year: 6446 Days

Day: 8.2 Hours

Environment

Temp: -184 °C

Axial Tilt: 26.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (49)

Outer Limit: 78,237,829 km

• M1: 166,203 km (0.096 R)
• M2: 430,692 km (0.111 R)
• M3: 625,917 km (0.088 R)
• M4: 889,958 km (0.108 R)
• M5: 1,246,599 km (0.099 R)
• M6: 1,616,555 km (0.096 R)
• M7: 2,226,316 km (0.102 R)
• M8: 2,845,950 km (0.101 R)
• M9: 3,415,768 km (0.082 R)
• M10: 3,745,332 km (0.116 R)
• M11: 3,956,714 km (0.052 R)
• M12: 4,171,985 km (0.1 R)
• M13: 4,325,024 km (0.118 R)
• M14: 4,841,286 km (0.11 R)
• M15: 5,165,166 km (0.091 R)
• M16: 5,834,167 km (0.1 R)
• M17: 7,096,474 km (0.116 R)
• M18: 7,358,869 km (0.106 R)
• M19: 7,947,536 km (0.111 R)
• M20: 8,192,727 km (0.063 R)
• M21: 8,275,006 km (0.079 R)
• M22: 8,412,786 km (0.117 R)
• M23: 8,999,957 km (0.052 R)
• M24: 9,084,929 km (0.071 R)
• M25: 9,542,549 km (0.072 R)
• M26: 9,803,298 km (0.053 R)
• M27: 10,154,703 km (0.079 R)
• M28: 11,294,639 km (0.026 R)
• M29: 11,601,464 km (0.069 R)
• M30: 11,973,215 km (0.098 R)
• M31: 12,097,980 km (0.095 R)
• M32: 15,119,558 km (0.116 R)
• M33: 15,491,608 km (0.082 R)
• M34: 15,695,958 km (0.06 R)
• M35: 17,010,475 km (0.068 R)
• M36: 17,503,699 km (0.071 R)
• M37: 17,716,427 km (0.111 R)
• M38: 18,468,007 km (0.048 R)
• M39: 18,684,774 km (0.081 R)
• M40: 19,633,374 km (0.116 R)
• M41: 20,113,583 km (0.064 R)
• M42: 22,034,869 km (0.1 R)
• M43: 22,418,438 km (0.113 R)
• M44: 23,192,158 km (0.098 R)
• M45: 23,386,934 km (0.101 R)
• M46: 24,290,057 km (0.071 R)
• M47: 26,008,936 km (0.116 R)
• M48: 26,740,171 km (0.083 R)
• M49: 27,642,994 km (0.033 R)

Planet 7 - Ice Giant

Semi-Major Axis: 9.95 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 131.6

Radius: 7.2

Gravity: 2.54 G

Time & Orbit

Eccentricity (e): 0.216

Orbit Range: 7.8 AU - 12.1 AU

Year: 13801 Days

Day: 17.8 Hours

Environment

Temp: -195 °C

Axial Tilt: 34 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (91)

Outer Limit: 78,237,829 km

• M1: 201,060 km (0.096 R)
• M2: 363,074 km (0.112 R)
• M3: 449,093 km (0.118 R)
• M4: 604,675 km (0.065 R)
• M5: 656,136 km (0.088 R)
• M6: 921,972 km (0.105 R)
• M7: 1,423,125 km (0.109 R)
• M8: 1,582,596 km (0.111 R)
• M9: 2,036,476 km (0.103 R)
• M10: 2,115,912 km (0.051 R)
• M11: 2,423,186 km (0.053 R)
• M12: 2,614,372 km (0.077 R)
• M13: 2,788,355 km (0.084 R)
• M14: 2,988,816 km (0.076 R)
• M15: 3,193,915 km (0.112 R)
• M16: 3,714,665 km (0.085 R)
• M17: 4,084,919 km (0.103 R)
• M18: 4,466,843 km (0.069 R)
• M19: 4,701,562 km (0.031 R)
• M20: 4,886,914 km (0.054 R)
• M21: 4,940,320 km (0.099 R)
• M22: 5,652,107 km (0.116 R)
• M23: 5,821,003 km (0.036 R)
• M24: 6,221,476 km (0.106 R)
• M25: 6,660,396 km (0.056 R)
• M26: 7,048,902 km (0.063 R)
• M27: 7,414,070 km (0.103 R)
• M28: 7,879,170 km (0.092 R)
• M29: 8,258,102 km (0.088 R)
• M30: 8,481,900 km (0.117 R)
• M31: 8,610,704 km (0.047 R)
• M32: 9,664,172 km (0.107 R)
• M33: 9,866,129 km (0.076 R)
• M34: 10,240,124 km (0.086 R)
• M35: 10,308,640 km (0.065 R)
• M36: 10,411,713 km (0.074 R)
• M37: 10,480,677 km (0.088 R)
• M38: 10,967,169 km (0.052 R)
• M39: 11,283,719 km (0.094 R)
• M40: 11,782,328 km (0.108 R)
• M41: 11,926,092 km (0.052 R)
• M42: 12,034,251 km (0.07 R)
• M43: 12,470,329 km (0.079 R)
• M44: 12,653,586 km (0.083 R)
• M45: 12,837,741 km (0.081 R)
• M46: 13,022,794 km (0.073 R)
• M47: 13,320,643 km (0.093 R)
• M48: 14,227,655 km (0.088 R)
• M49: 14,380,843 km (0.114 R)
• M50: 14,457,587 km (0.073 R)
• M51: 14,688,716 km (0.055 R)
• M52: 15,467,971 km (0.094 R)
• M53: 15,862,610 km (0.069 R)
• M54: 15,941,897 km (0.112 R)
• M55: 16,621,520 km (0.059 R)
• M56: 17,147,506 km (0.084 R)
• M57: 17,269,728 km (0.092 R)
• M58: 17,555,909 km (0.093 R)
• M59: 18,133,057 km (0.049 R)
• M60: 18,507,501 km (0.093 R)
• M61: 19,773,547 km (0.049 R)
• M62: 20,676,221 km (0.088 R)
• M63: 22,879,349 km (0.103 R)
• M64: 23,373,919 km (0.116 R)
• M65: 23,419,098 km (0.056 R)
• M66: 24,236,501 km (0.086 R)
• M67: 24,465,236 km (0.108 R)
• M68: 24,511,162 km (0.105 R)
• M69: 24,556,939 km (0.111 R)
• M70: 24,878,724 km (0.099 R)
• M71: 25,248,381 km (0.111 R)
• M72: 25,573,158 km (0.102 R)
• M73: 26,414,795 km (0.081 R)
• M74: 26,933,601 km (0.088 R)
• M75: 27,503,269 km (0.063 R)
• M76: 27,885,342 km (0.116 R)
• M77: 28,317,381 km (0.105 R)
• M78: 29,187,891 km (0.074 R)
• M79: 29,382,518 km (0.095 R)
• M80: 29,431,137 km (0.119 R)
• M81: 29,675,281 km (0.086 R)
• M82: 30,707,506 km (0.109 R)
• M83: 30,855,907 km (0.118 R)
• M84: 31,103,940 km (0.111 R)
• M85: 31,252,940 km (0.089 R)
• M86: 32,454,061 km (0.119 R)
• M87: 32,504,326 km (0.085 R)
• M88: 33,009,518 km (0.066 R)
• M89: 33,364,664 km (0.116 R)
• M90: 33,772,168 km (0.056 R)
• M91: 33,823,181 km (0.099 R)

Planet 8 - Ice Giant

Semi-Major Axis: 15.42 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 420.2

Radius: 5.4

Gravity: 14.41 G

Time & Orbit

Eccentricity (e): 0.193

Orbit Range: 12.44 AU - 18.4 AU

Year: 26625 Days

Day: 22.2 Hours

Environment

Temp: -209 °C

Axial Tilt: 43.9 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (97)

Outer Limit: 78,237,829 km

• M1: 322,234 km (0.108 R)
• M2: 433,385 km (0.1 R)
• M3: 514,617 km (0.096 R)
• M4: 601,084 km (0.054 R)
• M5: 764,146 km (0.114 R)
• M6: 838,346 km (0.103 R)
• M7: 941,120 km (0.051 R)
• M8: 1,216,081 km (0.119 R)
• M9: 1,672,803 km (0.041 R)
• M10: 1,936,395 km (0.03 R)
• M11: 4,383,367 km (0.1 R)
• M12: 5,594,811 km (0.084 R)
• M13: 5,692,049 km (0.109 R)
• M14: 6,287,299 km (0.119 R)
• M15: 7,322,816 km (0.095 R)
• M16: 7,589,848 km (0.102 R)
• M17: 7,751,563 km (0.093 R)
• M18: 7,860,171 km (0.082 R)
• M19: 8,078,584 km (0.089 R)
• M20: 8,133,487 km (0.115 R)
• M21: 9,956,037 km (0.053 R)
• M22: 10,192,402 km (0.086 R)
• M23: 10,370,872 km (0.079 R)
• M24: 10,851,979 km (0.111 R)
• M25: 13,040,596 km (0.11 R)
• M26: 13,105,073 km (0.079 R)
• M27: 13,429,102 km (0.071 R)
• M28: 13,821,497 km (0.109 R)
• M29: 14,151,211 km (0.082 R)
• M30: 14,217,632 km (0.105 R)
• M31: 14,617,358 km (0.101 R)
• M32: 14,684,377 km (0.045 R)
• M33: 14,953,354 km (0.075 R)
• M34: 16,392,336 km (0.092 R)
• M35: 17,731,836 km (0.071 R)
• M36: 17,803,194 km (0.039 R)
• M37: 18,306,291 km (0.028 R)
• M38: 19,991,511 km (0.112 R)
• M39: 20,589,155 km (0.085 R)
• M40: 20,664,253 km (0.117 R)
• M41: 20,890,146 km (0.104 R)
• M42: 21,116,936 km (0.12 R)
• M43: 21,344,475 km (0.052 R)
• M44: 21,725,650 km (0.106 R)
• M45: 21,955,283 km (0.083 R)
• M46: 22,108,920 km (0.115 R)
• M47: 22,571,925 km (0.075 R)
• M48: 23,507,361 km (0.111 R)
• M49: 24,934,076 km (0.092 R)
• M50: 25,577,197 km (0.076 R)
• M51: 27,373,718 km (0.111 R)
• M52: 27,456,296 km (0.084 R)
• M53: 27,953,709 km (0.046 R)
• M54: 29,041,883 km (0.1 R)
• M55: 30,656,792 km (0.1 R)
• M56: 31,431,859 km (0.119 R)
• M57: 31,605,093 km (0.119 R)
• M58: 32,475,454 km (0.087 R)
• M59: 33,618,681 km (0.054 R)
• M60: 34,506,993 km (0.12 R)
• M61: 34,596,303 km (0.071 R)
• M62: 35,673,407 km (0.047 R)
• M63: 37,401,263 km (0.094 R)
• M64: 37,676,523 km (0.041 R)
• M65: 37,952,531 km (0.109 R)
• M66: 38,784,445 km (0.12 R)
• M67: 39,063,146 km (0.079 R)
• M68: 42,362,826 km (0.099 R)
• M69: 43,514,580 km (0.028 R)
• M70: 44,094,272 km (0.113 R)
• M71: 44,676,506 km (0.117 R)
• M72: 45,163,747 km (0.088 R)
• M73: 45,554,796 km (0.093 R)
• M74: 45,848,755 km (0.078 R)
• M75: 47,031,027 km (0.054 R)
• M76: 49,224,431 km (0.111 R)
• M77: 54,124,360 km (0.076 R)
• M78: 54,747,734 km (0.111 R)
• M79: 55,373,502 km (0.083 R)
• M80: 55,791,927 km (0.065 R)
• M81: 56,106,382 km (0.117 R)
• M82: 56,526,752 km (0.064 R)
• M83: 58,963,702 km (0.108 R)
• M84: 63,064,329 km (0.115 R)
• M85: 63,173,386 km (0.085 R)
• M86: 63,720,166 km (0.114 R)
• M87: 64,048,832 km (0.086 R)
• M88: 64,928,318 km (0.031 R)
• M89: 69,272,640 km (0.084 R)
• M90: 70,514,752 km (0.096 R)
• M91: 73,021,114 km (0.074 R)
• M92: 73,479,931 km (0.118 R)
• M93: 73,594,822 km (0.059 R)
• M94: 74,170,026 km (0.092 R)
• M95: 74,285,216 km (0.093 R)
• M96: 76,253,027 km (0.102 R)
• M97: 77,184,872 km (0.069 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: 443 - 11,525 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit