🌌 Stone's Star System Generator

Planet 1 - Terrestrial

Semi-Major Axis: 0.51 AU

Status: Outer (Cold)

Composition: Rocky (Silicates/Metals)

Physical Data

Mass: 1.92

Radius: 1.3

Gravity: 1.14 G

Time & Orbit

Eccentricity (e): 0.205

Orbit Range: 0.41 AU - 0.61 AU

Year: 235 Days

Day: 12.5 Hours

Environment

Temp: -110 °C

Axial Tilt: 6.5 °

Atmosphere: Thin N₂/CH₄

Biome: Ice Cap/Desert

Planet 2 - Gas Giant

Semi-Major Axis: 0.79 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 834.3

Radius: 14.8

Gravity: 3.81 G

Time & Orbit

Eccentricity (e): 0.075

Orbit Range: 0.73 AU - 0.85 AU

Year: 453 Days

Day: 11.7 Hours

Environment

Temp: -136 °C

Axial Tilt: 10.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (40)

Outer Limit: 46,273,297 km

• M1: 186,997 km (0.098 R)
• M2: 327,171 km (0.094 R)
• M3: 427,551 km (0.086 R)
• M4: 544,087 km (0.119 R)
• M5: 651,050 km (0.095 R)
• M6: 762,500 km (0.073 R)
• M7: 890,855 km (0.096 R)
• M8: 998,416 km (0.066 R)
• M9: 1,116,150 km (0.09 R)
• M10: 1,218,026 km (0.114 R)
• M11: 1,410,409 km (0.068 R)
• M12: 1,521,710 km (0.105 R)
• M13: 1,653,804 km (0.09 R)
• M14: 1,838,259 km (0.117 R)
• M15: 1,961,078 km (0.048 R)
• M16: 2,074,174 km (0.113 R)
• M17: 2,261,022 km (0.102 R)
• M18: 2,426,777 km (0.079 R)
• M19: 2,521,472 km (0.056 R)
• M20: 2,834,431 km (0.083 R)
• M21: 3,226,826 km (0.064 R)
• M22: 3,414,571 km (0.099 R)
• M23: 3,567,460 km (0.083 R)
• M24: 3,919,913 km (0.077 R)
• M25: 4,096,289 km (0.108 R)
• M26: 4,308,419 km (0.053 R)
• M27: 4,440,663 km (0.102 R)
• M28: 4,641,723 km (0.119 R)
• M29: 4,769,031 km (0.044 R)
• M30: 5,096,650 km (0.119 R)
• M31: 5,378,343 km (0.108 R)
• M32: 5,521,059 km (0.09 R)
• M33: 5,701,324 km (0.11 R)
• M34: 5,847,033 km (0.039 R)
• M35: 5,947,862 km (0.081 R)
• M36: 6,058,714 km (0.091 R)
• M37: 6,179,439 km (0.083 R)
• M38: 6,282,213 km (0.102 R)
• M39: 6,385,585 km (0.06 R)
• M40: 6,480,131 km (0.098 R)

Asteroid Belt

Center: 1.07 AU

Composition

Type: Far Outer (Icy/Cometary)

A dense region of planetesimals and debris.

Boundary

Planet 3 - Gas Giant

Semi-Major Axis: 1.34 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 114.1

Radius: 8.6

Gravity: 1.54 G

Time & Orbit

Eccentricity (e): 0.119

Orbit Range: 1.18 AU - 1.5 AU

Year: 1002 Days

Day: 14.6 Hours

Environment

Temp: -168 °C

Axial Tilt: 140.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (44)

Outer Limit: 46,273,297 km

• M1: 107,112 km (0.106 R)
• M2: 180,864 km (0.112 R)
• M3: 247,734 km (0.105 R)
• M4: 313,408 km (0.113 R)
• M5: 386,860 km (0.034 R)
• M6: 454,179 km (0.029 R)
• M7: 667,207 km (0.079 R)
• M8: 754,871 km (0.111 R)
• M9: 855,401 km (0.108 R)
• M10: 956,080 km (0.103 R)
• M11: 1,174,493 km (0.102 R)
• M12: 1,312,422 km (0.098 R)
• M13: 1,388,567 km (0.088 R)
• M14: 1,620,594 km (0.071 R)
• M15: 1,945,520 km (0.066 R)
• M16: 2,085,993 km (0.055 R)
• M17: 2,483,325 km (0.097 R)
• M18: 2,604,050 km (0.097 R)
• M19: 2,674,810 km (0.114 R)
• M20: 2,746,168 km (0.109 R)
• M21: 2,924,339 km (0.106 R)
• M22: 3,079,023 km (0.068 R)
• M23: 3,174,467 km (0.1 R)
• M24: 3,277,839 km (0.111 R)
• M25: 3,340,520 km (0.071 R)
• M26: 3,466,931 km (0.081 R)
• M27: 3,552,052 km (0.084 R)
• M28: 3,645,251 km (0.073 R)
• M29: 3,702,846 km (0.105 R)
• M30: 3,790,062 km (0.072 R)
• M31: 4,055,449 km (0.098 R)
• M32: 4,152,837 km (0.047 R)
• M33: 4,258,603 km (0.086 R)
• M34: 4,349,857 km (0.103 R)
• M35: 4,480,456 km (0.107 R)
• M36: 4,557,948 km (0.027 R)
• M37: 4,627,960 km (0.065 R)
• M38: 4,706,199 km (0.077 R)
• M39: 4,903,818 km (0.109 R)
• M40: 5,039,803 km (0.07 R)
• M41: 5,112,208 km (0.105 R)
• M42: 5,258,216 km (0.059 R)
• M43: 5,463,314 km (0.102 R)
• M44: 5,662,728 km (0.048 R)

Planet 4 - Gas Giant

Semi-Major Axis: 2.3 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 963.9

Radius: 8.2

Gravity: 14.34 G

Time & Orbit

Eccentricity (e): 0.115

Orbit Range: 2.04 AU - 2.56 AU

Year: 2252 Days

Day: 5.6 Hours

Environment

Temp: -199 °C

Axial Tilt: 26.3 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (79)

Outer Limit: 46,273,297 km

• M1: 116,088 km (0.089 R)
• M2: 175,478 km (0.11 R)
• M3: 272,268 km (0.097 R)
• M4: 329,863 km (0.099 R)
• M5: 437,424 km (0.118 R)
• M6: 736,919 km (0.117 R)
• M7: 863,329 km (0.119 R)
• M8: 934,538 km (0.111 R)
• M9: 1,007,841 km (0.066 R)
• M10: 1,083,238 km (0.054 R)
• M11: 1,182,870 km (0.104 R)
• M12: 1,262,606 km (0.066 R)
• M13: 1,320,800 km (0.095 R)
• M14: 1,537,717 km (0.078 R)
• M15: 1,844,841 km (0.025 R)
• M16: 1,951,504 km (0.061 R)
• M17: 2,115,463 km (0.061 R)
• M18: 2,427,824 km (0.118 R)
• M19: 3,064,213 km (0.092 R)
• M20: 3,127,493 km (0.045 R)
• M21: 3,565,964 km (0.116 R)
• M22: 3,666,045 km (0.117 R)
• M23: 3,750,119 km (0.099 R)
• M24: 3,817,887 km (0.119 R)
• M25: 4,303,632 km (0.07 R)
• M26: 4,662,666 km (0.029 R)
• M27: 5,106,224 km (0.113 R)
• M28: 5,524,799 km (0.033 R)
• M29: 5,660,185 km (0.117 R)
• M30: 6,013,685 km (0.113 R)
• M31: 6,333,974 km (0.072 R)
• M32: 6,435,102 km (0.033 R)
• M33: 6,804,010 km (0.076 R)
• M34: 7,074,783 km (0.104 R)
• M35: 7,200,894 km (0.111 R)
• M36: 7,476,752 km (0.086 R)
• M37: 7,756,051 km (0.086 R)
• M38: 7,820,977 km (0.056 R)
• M39: 8,413,833 km (0.094 R)
• M40: 8,502,844 km (0.106 R)
• M41: 8,592,154 km (0.106 R)
• M42: 8,726,941 km (0.085 R)
• M43: 9,112,156 km (0.114 R)
• M44: 9,295,413 km (0.107 R)
• M45: 9,503,055 km (0.057 R)
• M46: 9,642,331 km (0.041 R)
• M47: 9,899,489 km (0.093 R)
• M48: 10,348,881 km (0.105 R)
• M49: 10,901,795 km (0.075 R)
• M50: 11,047,653 km (0.04 R)
• M51: 12,136,726 km (0.077 R)
• M52: 12,262,687 km (0.109 R)
• M53: 12,439,811 km (0.062 R)
• M54: 12,592,102 km (0.093 R)
• M55: 12,770,721 km (0.094 R)
• M56: 13,886,273 km (0.117 R)
• M57: 14,176,642 km (0.055 R)
• M58: 14,229,749 km (0.074 R)
• M59: 14,282,857 km (0.076 R)
• M60: 14,389,071 km (0.107 R)
• M61: 14,736,587 km (0.074 R)
• M62: 14,951,858 km (0.094 R)
• M63: 15,276,635 km (0.067 R)
• M64: 15,631,033 km (0.091 R)
• M65: 15,795,590 km (0.113 R)
• M66: 15,850,642 km (0.115 R)
• M67: 16,098,676 km (0.026 R)
• M68: 16,348,205 km (0.095 R)
• M69: 16,822,879 km (0.09 R)
• M70: 17,245,343 km (0.095 R)
• M71: 17,302,041 km (0.107 R)
• M72: 17,387,013 km (0.085 R)
• M73: 17,986,152 km (0.056 R)
• M74: 18,302,701 km (0.034 R)
• M75: 18,882,991 km (0.106 R)
• M76: 18,999,678 km (0.073 R)
• M77: 19,116,663 km (0.101 R)
• M78: 19,233,948 km (0.104 R)
• M79: 19,292,740 km (0.092 R)

Planet 5 - Gas Giant

Semi-Major Axis: 3.06 AU

Status: Outer (Cold)

Composition: Hydrogen/Helium Atmosphere

Physical Data

Mass: 422

Radius: 8

Gravity: 6.59 G

Time & Orbit

Eccentricity (e): 0.199

Orbit Range: 2.45 AU - 3.67 AU

Year: 3456 Days

Day: 10.1 Hours

Environment

Temp: -202 °C

Axial Tilt: 12.1 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (73)

Outer Limit: 46,273,297 km

• M1: 104,569 km (0.098 R)
• M2: 156,031 km (0.114 R)
• M3: 283,937 km (0.063 R)
• M4: 364,420 km (0.094 R)
• M5: 485,595 km (0.052 R)
• M6: 612,454 km (0.098 R)
• M7: 750,533 km (0.11 R)
• M8: 1,036,264 km (0.117 R)
• M9: 1,237,474 km (0.079 R)
• M10: 1,330,972 km (0.078 R)
• M11: 1,426,864 km (0.051 R)
• M12: 1,625,830 km (0.03 R)
• M13: 1,847,085 km (0.066 R)
• M14: 2,036,625 km (0.115 R)
• M15: 2,161,988 km (0.045 R)
• M16: 2,464,176 km (0.053 R)
• M17: 2,764,569 km (0.112 R)
• M18: 3,236,999 km (0.11 R)
• M19: 3,400,210 km (0.105 R)
• M20: 3,582,719 km (0.101 R)
• M21: 3,734,561 km (0.078 R)
• M22: 3,957,612 km (0.031 R)
• M23: 4,344,921 km (0.102 R)
• M24: 4,579,640 km (0.094 R)
• M25: 5,174,890 km (0.103 R)
• M26: 5,404,373 km (0.107 R)
• M27: 5,520,311 km (0.087 R)
• M28: 5,695,939 km (0.117 R)
• M29: 5,873,362 km (0.106 R)
• M30: 6,173,306 km (0.04 R)
• M31: 6,396,356 km (0.048 R)
• M32: 6,622,099 km (0.034 R)
• M33: 6,787,854 km (0.118 R)
• M34: 6,892,124 km (0.05 R)
• M35: 7,507,868 km (0.097 R)
• M36: 7,615,878 km (0.038 R)
• M37: 7,680,803 km (0.072 R)
• M38: 7,876,926 km (0.089 R)
• M39: 7,986,731 km (0.051 R)
• M40: 8,408,148 km (0.113 R)
• M41: 8,836,896 km (0.041 R)
• M42: 9,157,334 km (0.093 R)
• M43: 9,365,425 km (0.115 R)
• M44: 9,739,121 km (0.07 R)
• M45: 9,833,367 km (0.043 R)
• M46: 10,525,407 km (0.066 R)
• M47: 10,622,047 km (0.119 R)
• M48: 11,011,750 km (0.032 R)
• M49: 11,307,056 km (0.039 R)
• M50: 11,630,038 km (0.075 R)
• M51: 12,183,400 km (0.115 R)
• M52: 12,386,853 km (0.106 R)
• M53: 12,514,460 km (0.109 R)
• M54: 13,263,646 km (0.113 R)
• M55: 13,604,131 km (0.077 R)
• M56: 13,815,214 km (0.096 R)
• M57: 14,107,079 km (0.063 R)
• M58: 14,347,483 km (0.1 R)
• M59: 14,454,745 km (0.077 R)
• M60: 14,562,306 km (0.088 R)
• M61: 15,817,880 km (0.071 R)
• M62: 16,234,810 km (0.068 R)
• M63: 17,164,710 km (0.118 R)
• M64: 17,221,707 km (0.105 R)
• M65: 17,679,327 km (0.107 R)
• M66: 18,227,902 km (0.038 R)
• M67: 18,402,184 km (0.118 R)
• M68: 18,518,870 km (0.104 R)
• M69: 18,694,199 km (0.09 R)
• M70: 19,193,856 km (0.115 R)
• M71: 19,312,188 km (0.08 R)
• M72: 19,401,049 km (0.108 R)
• M73: 19,847,150 km (0.076 R)

Planet 6 - Ice Giant

Semi-Major Axis: 6.31 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 495.1

Radius: 6.5

Gravity: 11.72 G

Time & Orbit

Eccentricity (e): 0.119

Orbit Range: 5.56 AU - 7.06 AU

Year: 10234 Days

Day: 15.8 Hours

Environment

Temp: -231 °C

Axial Tilt: 47.6 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (94)

Outer Limit: 46,273,297 km

• M1: 84,672 km (0.088 R)
• M2: 138,228 km (0.11 R)
• M3: 195,076 km (0.096 R)
• M4: 242,947 km (0.078 R)
• M5: 582,983 km (0.043 R)
• M6: 923,318 km (0.117 R)
• M7: 1,480,421 km (0.105 R)
• M8: 1,564,495 km (0.052 R)
• M9: 1,693,448 km (0.066 R)
• M10: 1,737,130 km (0.12 R)
• M11: 1,803,552 km (0.1 R)
• M12: 2,031,090 km (0.086 R)
• M13: 2,077,765 km (0.049 R)
• M14: 2,219,733 km (0.068 R)
• M15: 2,488,411 km (0.095 R)
• M16: 3,164,294 km (0.044 R)
• M17: 3,355,480 km (0.102 R)
• M18: 3,410,831 km (0.044 R)
• M19: 3,578,680 km (0.086 R)
• M20: 3,980,949 km (0.088 R)
• M21: 5,175,638 km (0.082 R)
• M22: 5,828,483 km (0.069 R)
• M23: 5,928,564 km (0.087 R)
• M24: 5,995,733 km (0.103 R)
• M25: 7,174,265 km (0.117 R)
• M26: 7,716,557 km (0.05 R)
• M27: 7,789,860 km (0.114 R)
• M28: 7,937,214 km (0.059 R)
• M29: 8,085,466 km (0.063 R)
• M30: 8,234,615 km (0.113 R)
• M31: 8,687,448 km (0.089 R)
• M32: 9,071,166 km (0.093 R)
• M33: 9,460,270 km (0.066 R)
• M34: 9,775,622 km (0.095 R)
• M35: 10,014,231 km (0.117 R)
• M36: 10,254,934 km (0.097 R)
• M37: 10,335,567 km (0.119 R)
• M38: 10,578,664 km (0.081 R)
• M39: 10,864,845 km (0.063 R)
• M40: 11,070,841 km (0.051 R)
• M41: 11,486,573 km (0.12 R)
• M42: 11,696,310 km (0.119 R)
• M43: 11,822,720 km (0.051 R)
• M44: 11,992,065 km (0.047 R)
• M45: 12,850,906 km (0.106 R)
• M46: 13,112,403 km (0.116 R)
• M47: 13,156,235 km (0.066 R)
• M48: 14,041,406 km (0.032 R)
• M49: 14,355,860 km (0.095 R)
• M50: 15,128,982 km (0.102 R)
• M51: 16,055,891 km (0.119 R)
• M52: 18,207,557 km (0.096 R)
• M53: 18,354,163 km (0.111 R)
• M54: 18,796,524 km (0.077 R)
• M55: 19,093,326 km (0.034 R)
• M56: 19,341,808 km (0.081 R)
• M57: 19,591,337 km (0.046 R)
• M58: 19,791,798 km (0.108 R)
• M59: 19,993,007 km (0.078 R)
• M60: 21,781,600 km (0.102 R)
• M61: 22,984,666 km (0.074 R)
• M62: 23,941,045 km (0.064 R)
• M63: 25,400,073 km (0.103 R)
• M64: 25,563,883 km (0.086 R)
• M65: 25,782,894 km (0.063 R)
• M66: 26,057,705 km (0.11 R)
• M67: 26,112,757 km (0.068 R)
• M68: 26,223,011 km (0.088 R)
• M69: 26,443,817 km (0.09 R)
• M70: 27,782,269 km (0.079 R)
• M71: 28,120,361 km (0.115 R)
• M72: 28,857,429 km (0.062 R)
• M73: 29,371,448 km (0.057 R)
• M74: 29,946,203 km (0.076 R)
• M75: 31,340,604 km (0.114 R)
• M76: 32,340,965 km (0.117 R)
• M77: 32,459,297 km (0.03 R)
• M78: 32,874,880 km (0.107 R)
• M79: 32,993,810 km (0.078 R)
• M80: 33,471,476 km (0.114 R)
• M81: 34,011,375 km (0.119 R)
• M82: 34,554,266 km (0.115 R)
• M83: 34,978,525 km (0.117 R)
• M84: 35,039,262 km (0.08 R)
• M85: 36,569,349 km (0.03 R)
• M86: 39,125,378 km (0.077 R)
• M87: 39,251,489 km (0.062 R)
• M88: 40,329,192 km (0.103 R)
• M89: 40,712,013 km (0.118 R)
• M90: 41,545,273 km (0.065 R)
• M91: 42,578,696 km (0.106 R)
• M92: 42,968,248 km (0.108 R)
• M93: 43,424,372 km (0.103 R)
• M94: 43,685,869 km (0.089 R)

Planet 7 - Ice Giant

Semi-Major Axis: 8.89 AU

Status: Outer (Cold)

Composition: Methane/Ammonia Ices

Physical Data

Mass: 210.4

Radius: 3.7

Gravity: 15.37 G

Time & Orbit

Eccentricity (e): 0.12

Orbit Range: 7.82 AU - 9.96 AU

Year: 17115 Days

Day: 18.9 Hours

Environment

Temp: -236 °C

Axial Tilt: 20.4 °

Atmosphere: H₂, CH₄

Biome: None

Satellites (92)

Outer Limit: 46,273,297 km

• M1: 122,521 km (0.057 R)
• M2: 361,728 km (0.11 R)
• M3: 458,218 km (0.041 R)
• M4: 642,224 km (0.086 R)
• M5: 847,771 km (0.099 R)
• M6: 995,574 km (0.075 R)
• M7: 1,232,238 km (0.112 R)
• M8: 1,574,069 km (0.076 R)
• M9: 1,618,799 km (0.088 R)
• M10: 1,732,493 km (0.112 R)
• M11: 2,040,216 km (0.092 R)
• M12: 2,441,587 km (0.113 R)
• M13: 2,758,435 km (0.112 R)
• M14: 3,430,279 km (0.118 R)
• M15: 3,814,297 km (0.107 R)
• M16: 4,149,695 km (0.097 R)
• M17: 4,211,778 km (0.101 R)
• M18: 4,526,532 km (0.094 R)
• M19: 5,379,689 km (0.075 R)
• M20: 6,245,412 km (0.099 R)
• M21: 6,748,958 km (0.117 R)
• M22: 6,785,311 km (0.116 R)
• M23: 6,895,115 km (0.087 R)
• M24: 7,190,721 km (0.107 R)
• M25: 7,490,515 km (0.112 R)
• M26: 8,102,221 km (0.114 R)
• M27: 8,140,967 km (0.082 R)
• M28: 8,218,757 km (0.075 R)
• M29: 8,690,140 km (0.078 R)
• M30: 8,889,105 km (0.111 R)
• M31: 9,617,946 km (0.118 R)
• M32: 10,323,749 km (0.069 R)
• M33: 10,407,823 km (0.119 R)
• M34: 10,450,010 km (0.067 R)
• M35: 11,003,073 km (0.083 R)
• M36: 11,828,554 km (0.119 R)
• M37: 12,718,661 km (0.089 R)
• M38: 12,763,690 km (0.111 R)
• M39: 13,308,675 km (0.092 R)
• M40: 13,446,156 km (0.088 R)
• M41: 13,492,082 km (0.083 R)
• M42: 13,722,463 km (0.11 R)
• M43: 14,374,411 km (0.105 R)
• M44: 14,468,358 km (0.028 R)
• M45: 15,611,585 km (0.064 R)
• M46: 15,708,225 km (0.101 R)
• M47: 17,081,085 km (0.079 R)
• M48: 18,696,443 km (0.094 R)
• M49: 19,056,226 km (0.073 R)
• M50: 19,418,252 km (0.101 R)
• M51: 20,149,188 km (0.101 R)
• M52: 20,254,355 km (0.037 R)
• M53: 20,412,480 km (0.095 R)
• M54: 20,889,248 km (0.089 R)
• M55: 21,155,682 km (0.079 R)
• M56: 21,262,495 km (0.094 R)
• M57: 21,476,869 km (0.093 R)
• M58: 21,530,574 km (0.099 R)
• M59: 22,832,375 km (0.083 R)
• M60: 23,327,095 km (0.072 R)
• M61: 23,437,498 km (0.071 R)
• M62: 24,215,407 km (0.111 R)
• M63: 24,495,305 km (0.069 R)
• M64: 24,832,499 km (0.101 R)
• M65: 26,082,090 km (0.074 R)
• M66: 26,253,978 km (0.07 R)
• M67: 26,426,464 km (0.081 R)
• M68: 26,541,505 km (0.081 R)
• M69: 27,293,832 km (0.104 R)
• M70: 27,352,026 km (0.075 R)
• M71: 27,468,413 km (0.052 R)
• M72: 27,526,756 km (0.113 R)
• M73: 28,700,950 km (0.112 R)
• M74: 29,711,932 km (0.056 R)
• M75: 29,771,771 km (0.057 R)
• M76: 31,037,369 km (0.07 R)
• M77: 31,402,239 km (0.083 R)
• M78: 32,197,651 km (0.038 R)
• M79: 33,247,678 km (0.117 R)
• M80: 34,749,192 km (0.075 R)
• M81: 34,938,433 km (0.107 R)
• M82: 35,001,563 km (0.074 R)
• M83: 35,889,576 km (0.119 R)
• M84: 36,464,481 km (0.072 R)
• M85: 36,592,686 km (0.081 R)
• M86: 37,235,658 km (0.076 R)
• M87: 37,429,387 km (0.038 R)
• M88: 37,494,014 km (0.115 R)
• M89: 38,532,971 km (0.114 R)
• M90: 38,663,420 km (0.064 R)
• M91: 40,971,566 km (0.086 R)
• M92: 42,041,490 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: 260 - 17,611 AU

Composition

Type: Cometary Reservoir

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

Gravitational Limit