🌌 Stone's Star System Generator

Planet 1 - Gas Giant

Semi-Major Axis: 0.52 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 691.7

Radius: 13.2

Gravity: 3.97 G

Time & Orbit

Eccentricity (e): 0.063

Orbit Range: 0.49 AU - 0.55 AU

Year: 259 Days

Day: 8.5 Hours

Environment

Temp: -132 °C

Axial Tilt: 39.7 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (35)

Outer Limit: 75,709,581 km

• M1: 164,558 km (0.082 R)
• M2: 284,386 km (0.093 R)
• M3: 375,939 km (0.028 R)
• M4: 462,706 km (0.101 R)
• M5: 564,433 km (0.045 R)
• M6: 651,499 km (0.052 R)
• M7: 825,331 km (0.109 R)
• M8: 927,208 km (0.114 R)
• M9: 1,066,782 km (0.083 R)
• M10: 1,190,949 km (0.101 R)
• M11: 1,292,376 km (0.115 R)
• M12: 1,421,629 km (0.112 R)
• M13: 1,559,558 km (0.066 R)
• M14: 1,671,756 km (0.109 R)
• M15: 1,755,381 km (0.12 R)
• M16: 1,854,116 km (0.104 R)
• M17: 1,959,583 km (0.088 R)
• M18: 2,052,932 km (0.102 R)
• M19: 2,138,202 km (0.081 R)
• M20: 2,224,820 km (0.087 R)
• M21: 2,322,507 km (0.074 R)
• M22: 2,542,565 km (0.052 R)
• M23: 2,649,977 km (0.079 R)
• M24: 2,774,891 km (0.026 R)
• M25: 2,896,364 km (0.03 R)
• M26: 2,998,091 km (0.054 R)
• M27: 3,249,415 km (0.09 R)
• M28: 3,344,111 km (0.099 R)
• M29: 3,485,182 km (0.116 R)
• M30: 3,576,436 km (0.117 R)
• M31: 3,662,754 km (0.109 R)
• M32: 3,778,992 km (0.109 R)
• M33: 3,955,667 km (0.092 R)
• M34: 4,045,126 km (0.105 R)
• M35: 4,147,302 km (0.108 R)

Planet 2 - Gas Giant

Semi-Major Axis: 0.58 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 921.4

Radius: 9

Gravity: 11.38 G

Time & Orbit

Eccentricity (e): 0.175

Orbit Range: 0.48 AU - 0.68 AU

Year: 305 Days

Day: 12.7 Hours

Environment

Temp: -139 °C

Axial Tilt: 41 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (49)

Outer Limit: 75,709,581 km

• M1: 116,986 km (0.075 R)
• M2: 186,249 km (0.099 R)
• M3: 269,276 km (0.097 R)
• M4: 343,327 km (0.1 R)
• M5: 402,568 km (0.09 R)
• M6: 491,279 km (0.102 R)
• M7: 563,834 km (0.096 R)
• M8: 626,217 km (0.115 R)
• M9: 687,402 km (0.076 R)
• M10: 774,019 km (0.046 R)
• M11: 880,533 km (0.101 R)
• M12: 1,026,391 km (0.053 R)
• M13: 1,135,747 km (0.111 R)
• M14: 1,207,704 km (0.086 R)
• M15: 1,309,430 km (0.114 R)
• M16: 1,404,425 km (0.117 R)
• M17: 1,571,376 km (0.038 R)
• M18: 1,677,890 km (0.036 R)
• M19: 1,734,587 km (0.076 R)
• M20: 1,818,362 km (0.096 R)
• M21: 1,887,476 km (0.097 R)
• M22: 1,957,339 km (0.067 R)
• M23: 2,050,239 km (0.058 R)
• M24: 2,200,734 km (0.073 R)
• M25: 2,360,804 km (0.047 R)
• M26: 2,418,998 km (0.07 R)
• M27: 2,483,474 km (0.104 R)
• M28: 2,560,368 km (0.038 R)
• M29: 2,626,191 km (0.106 R)
• M30: 2,686,479 km (0.119 R)
• M31: 2,747,215 km (0.067 R)
• M32: 2,820,817 km (0.075 R)
• M33: 2,888,735 km (0.116 R)
• M34: 2,951,117 km (0.099 R)
• M35: 3,153,523 km (0.078 R)
• M36: 3,224,283 km (0.083 R)
• M37: 3,472,466 km (0.096 R)
• M38: 3,666,045 km (0.097 R)
• M39: 3,740,545 km (0.071 R)
• M40: 3,801,731 km (0.074 R)
• M41: 3,952,825 km (0.087 R)
• M42: 4,015,356 km (0.068 R)
• M43: 4,085,069 km (0.112 R)
• M44: 4,176,324 km (0.109 R)
• M45: 4,246,934 km (0.048 R)
• M46: 4,782,494 km (0.116 R)
• M47: 4,841,735 km (0.112 R)
• M48: 4,908,605 km (0.05 R)
• M49: 5,035,764 km (0.109 R)

Planet 3 - Gas Giant

Semi-Major Axis: 0.74 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 634.1

Radius: 14.8

Gravity: 2.89 G

Time & Orbit

Eccentricity (e): 0.024

Orbit Range: 0.72 AU - 0.76 AU

Year: 439 Days

Day: 14.3 Hours

Environment

Temp: -152 °C

Axial Tilt: 31.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (37)

Outer Limit: 75,709,581 km

• M1: 185,501 km (0.113 R)
• M2: 346,469 km (0.096 R)
• M3: 488,587 km (0.094 R)
• M4: 614,249 km (0.072 R)
• M5: 737,817 km (0.065 R)
• M6: 917,933 km (0.115 R)
• M7: 1,050,177 km (0.1 R)
• M8: 1,170,454 km (0.1 R)
• M9: 1,281,156 km (0.12 R)
• M10: 1,410,858 km (0.044 R)
• M11: 1,513,930 km (0.083 R)
• M12: 1,684,472 km (0.064 R)
• M13: 1,794,576 km (0.103 R)
• M14: 1,890,169 km (0.108 R)
• M15: 2,028,098 km (0.113 R)
• M16: 2,145,832 km (0.079 R)
• M17: 2,247,708 km (0.078 R)
• M18: 2,369,780 km (0.116 R)
• M19: 2,557,226 km (0.089 R)
• M20: 2,756,341 km (0.116 R)
• M21: 2,874,373 km (0.074 R)
• M22: 2,980,738 km (0.065 R)
• M23: 3,149,634 km (0.07 R)
• M24: 3,293,996 km (0.118 R)
• M25: 3,454,813 km (0.108 R)
• M26: 3,711,822 km (0.071 R)
• M27: 3,894,033 km (0.059 R)
• M28: 4,019,695 km (0.09 R)
• M29: 4,222,250 km (0.082 R)
• M30: 4,435,726 km (0.074 R)
• M31: 4,590,560 km (0.111 R)
• M32: 4,747,189 km (0.032 R)
• M33: 4,849,963 km (0.044 R)
• M34: 4,945,556 km (0.117 R)
• M35: 5,227,847 km (0.096 R)
• M36: 5,490,691 km (0.049 R)
• M37: 5,673,948 km (0.119 R)

Planet 4 - Gas Giant

Semi-Major Axis: 0.74 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 798.4

Radius: 14.3

Gravity: 3.9 G

Time & Orbit

Eccentricity (e): 0.236

Orbit Range: 0.57 AU - 0.91 AU

Year: 439 Days

Day: 12.8 Hours

Environment

Temp: -171 °C

Axial Tilt: 42.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (42)

Outer Limit: 75,709,581 km

• M1: 180,714 km (0.11 R)
• M2: 269,725 km (0.074 R)
• M3: 444,306 km (0.069 R)
• M4: 579,542 km (0.112 R)
• M5: 707,448 km (0.113 R)
• M6: 945,309 km (0.118 R)
• M7: 1,038,957 km (0.037 R)
• M8: 1,160,730 km (0.075 R)
• M9: 1,256,921 km (0.099 R)
• M10: 1,479,673 km (0.04 R)
• M11: 1,739,374 km (0.112 R)
• M12: 1,880,894 km (0.107 R)
• M13: 2,075,820 km (0.064 R)
• M14: 2,213,899 km (0.065 R)
• M15: 2,309,941 km (0.114 R)
• M16: 2,400,747 km (0.075 R)
• M17: 2,546,156 km (0.031 R)
• M18: 2,674,212 km (0.045 R)
• M19: 2,825,156 km (0.113 R)
• M20: 2,915,812 km (0.108 R)
• M21: 3,050,001 km (0.073 R)
• M22: 3,179,104 km (0.079 R)
• M23: 3,317,482 km (0.061 R)
• M24: 3,525,124 km (0.108 R)
• M25: 3,615,481 km (0.054 R)
• M26: 3,883,411 km (0.092 R)
• M27: 4,023,884 km (0.112 R)
• M28: 4,118,429 km (0.059 R)
• M29: 4,213,723 km (0.103 R)
• M30: 4,430,939 km (0.04 R)
• M31: 4,610,756 km (0.03 R)
• M32: 4,709,939 km (0.067 R)
• M33: 4,826,476 km (0.119 R)
• M34: 4,969,342 km (0.096 R)
• M35: 5,062,542 km (0.091 R)
• M36: 5,363,084 km (0.112 R)
• M37: 5,493,683 km (0.066 R)
• M38: 5,590,024 km (0.089 R)
• M39: 5,758,022 km (0.102 R)
• M40: 5,909,864 km (0.047 R)
• M41: 6,071,878 km (0.102 R)
• M42: 6,162,684 km (0.069 R)

Planet 5 - Gas Giant

Semi-Major Axis: 1.24 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 236.9

Radius: 9.8

Gravity: 2.47 G

Time & Orbit

Eccentricity (e): 0.113

Orbit Range: 1.1 AU - 1.38 AU

Year: 953 Days

Day: 5.6 Hours

Environment

Temp: -188 °C

Axial Tilt: 107.2 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (49)

Outer Limit: 75,709,581 km

• M1: 124,316 km (0.117 R)
• M2: 187,745 km (0.074 R)
• M3: 292,763 km (0.118 R)
• M4: 373,546 km (0.098 R)
• M5: 490,980 km (0.105 R)
• M6: 567,574 km (0.111 R)
• M7: 715,826 km (0.1 R)
• M8: 843,433 km (0.044 R)
• M9: 943,065 km (0.1 R)
• M10: 1,084,285 km (0.08 R)
• M11: 1,154,896 km (0.071 R)
• M12: 1,441,525 km (0.059 R)
• M13: 1,587,233 km (0.025 R)
• M14: 1,789,041 km (0.063 R)
• M15: 1,880,146 km (0.099 R)
• M16: 2,114,716 km (0.094 R)
• M17: 2,197,294 km (0.046 R)
• M18: 2,330,436 km (0.118 R)
• M19: 2,444,728 km (0.073 R)
• M20: 2,656,559 km (0.098 R)
• M21: 2,760,978 km (0.099 R)
• M22: 3,004,972 km (0.113 R)
• M23: 3,129,737 km (0.115 R)
• M24: 3,192,718 km (0.049 R)
• M25: 3,264,076 km (0.108 R)
• M26: 3,416,516 km (0.082 R)
• M27: 3,505,976 km (0.112 R)
• M28: 3,587,806 km (0.106 R)
• M29: 3,990,074 km (0.076 R)
• M30: 4,136,082 km (0.06 R)
• M31: 4,240,202 km (0.044 R)
• M32: 4,442,159 km (0.087 R)
• M33: 4,692,436 km (0.027 R)
• M34: 4,901,425 km (0.111 R)
• M35: 5,020,953 km (0.101 R)
• M36: 5,104,279 km (0.099 R)
• M37: 5,244,153 km (0.053 R)
• M38: 5,328,826 km (0.1 R)
• M39: 5,566,088 km (0.116 R)
• M40: 5,642,832 km (0.111 R)
• M41: 5,835,963 km (0.071 R)
• M42: 5,992,143 km (0.101 R)
• M43: 6,070,831 km (0.115 R)
• M44: 6,219,232 km (0.118 R)
• M45: 6,308,841 km (0.087 R)
• M46: 6,600,408 km (0.073 R)
• M47: 6,834,828 km (0.109 R)
• M48: 6,896,462 km (0.1 R)
• M49: 6,958,246 km (0.045 R)

Planet 6 - Gas Giant

Semi-Major Axis: 1.53 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 114.2

Radius: 13.8

Gravity: 0.6 G

Time & Orbit

Eccentricity (e): 0.138

Orbit Range: 1.32 AU - 1.74 AU

Year: 1306 Days

Day: 7.2 Hours

Environment

Temp: -194 °C

Axial Tilt: 0.8 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (43)

Outer Limit: 75,709,581 km

• M1: 171,888 km (0.075 R)
• M2: 266,434 km (0.111 R)
• M3: 390,450 km (0.045 R)
• M4: 485,445 km (0.076 R)
• M5: 668,852 km (0.066 R)
• M6: 772,673 km (0.111 R)
• M7: 864,077 km (0.038 R)
• M8: 979,417 km (0.092 R)
• M9: 1,074,711 km (0.117 R)
• M10: 1,297,762 km (0.085 R)
• M11: 1,392,607 km (0.05 R)
• M12: 1,542,504 km (0.114 R)
• M13: 1,679,685 km (0.109 R)
• M14: 1,771,688 km (0.046 R)
• M15: 1,903,334 km (0.058 R)
• M16: 2,031,838 km (0.116 R)
• M17: 2,156,753 km (0.099 R)
• M18: 2,318,468 km (0.088 R)
• M19: 2,470,310 km (0.059 R)
• M20: 2,611,231 km (0.1 R)
• M21: 2,704,430 km (0.052 R)
• M22: 2,798,677 km (0.095 R)
• M23: 2,886,641 km (0.08 R)
• M24: 3,005,571 km (0.109 R)
• M25: 3,095,928 km (0.105 R)
• M26: 3,271,556 km (0.063 R)
• M27: 3,372,385 km (0.093 R)
• M28: 3,505,677 km (0.031 R)
• M29: 3,883,860 km (0.078 R)
• M30: 3,990,822 km (0.09 R)
• M31: 4,098,832 km (0.061 R)
• M32: 4,207,739 km (0.098 R)
• M33: 4,334,748 km (0.044 R)
• M34: 4,749,732 km (0.056 R)
• M35: 4,917,581 km (0.1 R)
• M36: 5,060,447 km (0.1 R)
• M37: 5,150,505 km (0.073 R)
• M38: 5,268,388 km (0.054 R)
• M39: 5,534,523 km (0.098 R)
• M40: 5,664,673 km (0.107 R)
• M41: 5,795,870 km (0.065 R)
• M42: 6,166,574 km (0.046 R)
• M43: 6,515,735 km (0.082 R)

Asteroid Belt

Center: 1.8 AU

Composition

Type: Outer System (Icy)

A dense region of planetesimals and debris.

Boundary

Planet 7 - Gas Giant

Semi-Major Axis: 2.06 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 867

Radius: 13.1

Gravity: 5.05 G

Time & Orbit

Eccentricity (e): 0.014

Orbit Range: 2.03 AU - 2.09 AU

Year: 2041 Days

Day: 10 Hours

Environment

Temp: -200 °C

Axial Tilt: 49.5 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (61)

Outer Limit: 75,709,581 km

• M1: 178,171 km (0.085 R)
• M2: 284,535 km (0.086 R)
• M3: 380,278 km (0.032 R)
• M4: 521,498 km (0.079 R)
• M5: 701,016 km (0.077 R)
• M6: 794,963 km (0.107 R)
• M7: 903,272 km (0.111 R)
• M8: 1,136,196 km (0.1 R)
• M9: 1,545,795 km (0.1 R)
• M10: 1,744,012 km (0.065 R)
• M11: 1,840,203 km (0.068 R)
• M12: 1,938,489 km (0.074 R)
• M13: 2,510,402 km (0.045 R)
• M14: 2,886,940 km (0.073 R)
• M15: 2,987,619 km (0.112 R)
• M16: 3,118,667 km (0.047 R)
• M17: 3,222,039 km (0.074 R)
• M18: 4,122,618 km (0.096 R)
• M19: 4,550,767 km (0.093 R)
• M20: 4,668,501 km (0.106 R)
• M21: 4,770,227 km (0.093 R)
• M22: 5,010,631 km (0.092 R)
• M23: 5,485,455 km (0.119 R)
• M24: 6,141,292 km (0.1 R)
• M25: 6,440,787 km (0.097 R)
• M26: 6,726,070 km (0.025 R)
• M27: 7,230,215 km (0.104 R)
• M28: 7,526,718 km (0.09 R)
• M29: 7,787,018 km (0.072 R)
• M30: 7,908,043 km (0.081 R)
• M31: 8,152,186 km (0.101 R)
• M32: 8,564,777 km (0.07 R)
• M33: 8,689,841 km (0.1 R)
• M34: 8,836,447 km (0.096 R)
• M35: 9,005,193 km (0.118 R)
• M36: 9,217,622 km (0.067 R)
• M37: 9,324,435 km (0.052 R)
• M38: 9,625,725 km (0.081 R)
• M39: 9,930,157 km (0.087 R)
• M40: 10,193,749 km (0.08 R)
• M41: 10,683,083 km (0.118 R)
• M42: 10,885,489 km (0.113 R)
• M43: 11,134,570 km (0.112 R)
• M44: 11,362,706 km (0.081 R)
• M45: 11,823,468 km (0.085 R)
• M46: 12,549,915 km (0.108 R)
• M47: 12,930,642 km (0.117 R)
• M48: 13,050,320 km (0.072 R)
• M49: 13,146,362 km (0.114 R)
• M50: 13,411,748 km (0.026 R)
• M51: 13,727,699 km (0.097 R)
• M52: 13,849,771 km (0.045 R)
• M53: 14,243,213 km (0.087 R)
• M54: 14,441,281 km (0.057 R)
• M55: 14,590,430 km (0.103 R)
• M56: 15,066,151 km (0.082 R)
• M57: 15,572,540 km (0.085 R)
• M58: 15,879,066 km (0.109 R)
• M59: 16,680,013 km (0.104 R)
• M60: 16,862,672 km (0.101 R)
• M61: 17,626,668 km (0.102 R)

Planet 8 - Ice Giant

Semi-Major Axis: 8.3 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 990.8

Radius: 3.6

Gravity: 76.45 G

Time & Orbit

Eccentricity (e): 0.03

Orbit Range: 8.05 AU - 8.55 AU

Year: 16505 Days

Day: 18.7 Hours

Environment

Temp: -240 °C

Axial Tilt: 8.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (95)

Outer Limit: 75,709,581 km

• M1: 362,027 km (0.094 R)
• M2: 457,769 km (0.099 R)
• M3: 498,311 km (0.076 R)
• M4: 540,198 km (0.081 R)
• M5: 1,101,639 km (0.118 R)
• M6: 1,386,473 km (0.1 R)
• M7: 1,821,504 km (0.099 R)
• M8: 3,190,025 km (0.085 R)
• M9: 3,839,729 km (0.109 R)
• M10: 4,093,596 km (0.104 R)
• M11: 4,440,514 km (0.1 R)
• M12: 4,706,798 km (0.078 R)
• M13: 5,301,599 km (0.115 R)
• M14: 6,311,235 km (0.12 R)
• M15: 6,410,418 km (0.108 R)
• M16: 6,660,696 km (0.105 R)
• M17: 7,274,346 km (0.056 R)
• M18: 7,378,317 km (0.092 R)
• M19: 7,482,885 km (0.096 R)
• M20: 8,445,398 km (0.054 R)
• M21: 8,774,813 km (0.108 R)
• M22: 8,941,166 km (0.109 R)
• M23: 9,333,112 km (0.104 R)
• M24: 9,730,743 km (0.084 R)
• M25: 9,845,335 km (0.081 R)
• M26: 10,191,953 km (0.053 R)
• M27: 10,425,176 km (0.103 R)
• M28: 10,719,286 km (0.083 R)
• M29: 11,375,721 km (0.11 R)
• M30: 11,436,009 km (0.101 R)
• M31: 11,496,447 km (0.096 R)
• M32: 12,789,870 km (0.06 R)
• M33: 12,978,363 km (0.045 R)
• M34: 13,549,378 km (0.094 R)
• M35: 13,934,593 km (0.091 R)
• M36: 14,323,398 km (0.098 R)
• M37: 14,519,221 km (0.026 R)
• M38: 16,524,730 km (0.108 R)
• M39: 16,798,644 km (0.041 R)
• M40: 17,420,373 km (0.092 R)
• M41: 21,753,176 km (0.105 R)
• M42: 22,128,517 km (0.094 R)
• M43: 24,114,578 km (0.101 R)
• M44: 24,503,084 km (0.102 R)
• M45: 25,759,856 km (0.034 R)
• M46: 25,918,429 km (0.089 R)
• M47: 25,997,866 km (0.101 R)
• M48: 26,077,302 km (0.047 R)
• M49: 26,555,866 km (0.111 R)
• M50: 26,635,901 km (0.083 R)
• M51: 27,846,447 km (0.098 R)
• M52: 28,253,802 km (0.032 R)
• M53: 28,827,510 km (0.089 R)
• M54: 29,239,652 km (0.065 R)
• M55: 30,069,920 km (0.105 R)
• M56: 30,404,122 km (0.032 R)
• M57: 31,160,638 km (0.042 R)
• M58: 31,838,316 km (0.06 R)
• M59: 32,606,352 km (0.08 R)
• M60: 35,122,738 km (0.095 R)
• M61: 39,057,910 km (0.081 R)
• M62: 39,239,970 km (0.103 R)
• M63: 41,355,135 km (0.054 R)
• M64: 44,739,188 km (0.067 R)
• M65: 45,503,184 km (0.054 R)
• M66: 45,598,927 km (0.06 R)
• M67: 48,406,281 km (0.059 R)
• M68: 48,699,941 km (0.061 R)
• M69: 49,387,194 km (0.096 R)
• M70: 51,668,113 km (0.073 R)
• M71: 51,868,125 km (0.065 R)
• M72: 52,168,517 km (0.091 R)
• M73: 53,073,285 km (0.115 R)
• M74: 53,477,050 km (0.11 R)
• M75: 55,715,932 km (0.108 R)
• M76: 56,743,669 km (0.086 R)
• M77: 57,570,347 km (0.116 R)
• M78: 57,985,331 km (0.09 R)
• M79: 58,609,454 km (0.095 R)
• M80: 59,026,682 km (0.094 R)
• M81: 59,759,413 km (0.044 R)
• M82: 60,600,452 km (0.083 R)
• M83: 61,445,381 km (0.077 R)
• M84: 61,975,406 km (0.109 R)
• M85: 62,826,767 km (0.073 R)
• M86: 64,325,738 km (0.068 R)
• M87: 64,863,991 km (0.067 R)
• M88: 69,002,915 km (0.109 R)
• M89: 69,223,124 km (0.1 R)
• M90: 69,774,691 km (0.12 R)
• M91: 70,327,605 km (0.055 R)
• M92: 72,442,170 km (0.1 R)
• M93: 73,226,363 km (0.061 R)
• M94: 73,338,711 km (0.093 R)
• M95: 73,675,904 km (0.096 R)

Kuiper Belt

Range: 30 - 52 AU

Composition

Type: Dwarf Planets/TNOs (Ices)

Reservoir of dwarf planets and volatile ices.

Outer System

Oort Cloud

Range: 312 - 20,269 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit