Original Planetary Harmonics Dataset
This table preserves the recovered original dataset, including Solar System bodies and early exoplanet entries, with pass/fail status based on the 80% to 120% proximity criterion.
Columns: Planet, Fibonacci index N, N³, ideal semi-major axis, observed semi-major axis, proximity percentage, error, absolute error, and pass/fail status.
121Total rows
103Pass
18Fail
85.1%Pass rate
Results Table
| Planet | N | N^3 | Ideal_SMA_AU | Observed_SMA_AU | Proximity_% | Error_pp | Abs_error_pp | Status |
|---|---|---|---|---|---|---|---|---|
| Mercury | 0.233 | 0.012649337 | 0.335 | 0.387 | 115.52 | 15.52 | 15.52 | Pass |
| Venus | 0.610 | 0.226981 | 0.690 | 0.723 | 104.75 | 4.75 | 4.75 | Pass |
| Earth | 1 | 1 | 1 | 1.017 | 101.70 | 1.70 | 1.70 | Pass |
| Mars | 2 | 8 | 1.682 | 1.524 | 90.61 | -9.39 | 9.39 | Pass |
| Jupiter | 8 | 512 | 4.757 | 5.204 | 109.40 | 9.40 | 9.40 | Pass |
| Saturn | 21 | 9261 | 9.81 | 9.58 | 97.66 | -2.34 | 2.34 | Pass |
| Uranus | 55 | 166375 | 20.196 | 19.191 | 95.02 | -4.98 | 4.98 | Pass |
| Neptune | 89 | 704969 | 28.976 | 30.07 | 103.78 | 3.78 | 3.78 | Pass |
| Pluto | 144 | 2985984 | 41.569 | 39.48 | 94.97 | -5.03 | 5.03 | Pass |
| Eris | 233 | 12649337 | 59.637 | 67.7 | 113.52 | 13.52 | 13.52 | Pass |
| Sedna | 4181 | 73087061741 | 519.948 | 506 | 97.32 | -2.68 | 2.68 | Pass |
| 14 Her b | 3 | 27 | 2.28 | 2.77 | 121.49 | 21.49 | 21.49 | Fail |
| 16 CygB b | 2 | 8 | 1.682 | 1.68 | 99.88 | -0.12 | 0.12 | Pass |
| 47 Uma b | 3 | 27 | 2.28 | 2.1 | 92.11 | -7.89 | 7.89 | Pass |
| 47 Uma c | 5 | 125 | 3.344 | 3.6 | 107.66 | 7.66 | 7.66 | Pass |
| 51 Peg b | 0.021 | 0.000009261 | 0.055 | 0.053 | 96.36 | -3.64 | 3.64 | Pass |
| 55 Cnc b | 0.055 | 0.000166375 | 0.114 | 0.115 | 100.88 | 0.88 | 0.88 | Pass |
| 55 Cnc c | 0.24 | 0.013824 | 0.343 | 0.24 | 69.97 | -30.03 | 30.03 | Fail |
| 55 Cnc d | 13 | 2197 | 6.846 | 5.77 | 84.28 | -15.72 | 15.72 | Pass |
| 55 Cnc e | 0.005 | 0.000000125 | 0.019 | 0.016 | 84.21 | -15.79 | 15.79 | Pass |
| 55 Cnc f | 0.013 | 0.000002197 | 0.038 | 0.016 | 42.11 | -57.89 | 57.89 | Fail |
| 70 Vir b | 0.377 | 0.053582633 | 0.481 | 0.484 | 100.62 | 0.62 | 0.62 | Pass |
| BD-10_3166 b | 0.013 | 0.000002197 | 0.038 | 0.04 | 105.26 | 5.26 | 5.26 | Pass |
| Epsilon Eridanib | 5 | 125 | 3.344 | 3.39 | 101.38 | 1.38 | 1.38 | Pass |
| GJ 3021 b | 0.377 | 0.053582633 | 0.481 | 0.49 | 101.87 | 1.87 | 1.87 | Pass |
| Gl 777A b | 0.377 | 0.053582633 | 0.481 | 0.49 | 101.87 | 1.87 | 1.87 | Pass |
| Gl 86 b | 0.055 | 0.000166375 | 0.114 | 0.11 | 96.49 | -3.51 | 3.51 | Pass |
| Gliese 876 d | 0.021 | 0.000009261 | 0.055 | 0.021 | 38.18 | -61.82 | 61.82 | Fail |
| Gliese 876 c | 0.089 | 0.000704969 | 0.163 | 0.13 | 79.75 | -20.25 | 20.25 | Fail |
| HD 104985 b | 0.610 | 0.226981 | 0.690 | 0.78 | 113.00 | 13.00 | 13.00 | Pass |
| HD 106252 b | 3 | 27 | 2.28 | 2.61 | 114.47 | 14.47 | 14.47 | Pass |
| HD 10647 b | 3 | 27 | 2.28 | 2.015 | 88.38 | -11.62 | 11.62 | Pass |
| HD 10697 b | 3 | 27 | 2.28 | 2.13 | 93.42 | -6.58 | 6.58 | Pass |
| HD 108147 b | 0.055 | 0.000166375 | 0.11 | 0.104 | 94.55 | -5.45 | 5.45 | Pass |
| HD 108874 b | 1 | 1 | 1 | 1.05 | 105.00 | 5.00 | 5.00 | Pass |
| HD 111232 b | 1 | 1 | 1 | 0.92 | 92.00 | -8.00 | 8.00 | Pass |
| HD 114386 b | 2 | 8 | 1.68 | 1.37 | 81.55 | -18.45 | 18.45 | Pass |
| HD 114729 b | 3 | 27 | 2.28 | 2.08 | 91.23 | -8.77 | 8.77 | Pass |
| HD 114762 b | 0.233 | 0.012649337 | 0.34 | 0.35 | 102.94 | 2.94 | 2.94 | Pass |
| HD 114783 b | 1 | 1 | 1 | 1.16 | 116.00 | 16.00 | 16.00 | Pass |
| HD 121504 b | 0.233 | 0.012649337 | 0.34 | 0.33 | 97.06 | -2.94 | 2.94 | Pass |
| HD 12661 b | 0.610 | 0.226981 | 0.690 | 0.83 | 120.25 | 20.25 | 20.25 | Fail |
| HD 128311 b | 1 | 1 | 1 | 1.1 | 110.00 | 10.00 | 10.00 | Pass |
| HD 130322 b | 0.03 | 0.000027 | 0.07 | 0.092 | 131.43 | 31.43 | 31.43 | Fail |
| HD 134987 b | 0.610 | 0.226981 | 0.690 | 0.81 | 117.35 | 17.35 | 17.35 | Pass |
| HD 136118 b | 3 | 27 | 2.28 | 2.3 | 100.88 | 0.88 | 0.88 | Pass |
| HD 141937 b | 3 | 27 | 2.28 | 2.15 | 94.30 | -5.70 | 5.70 | Pass |
| HD 142 b | 1 | 1 | 1 | 1.02 | 102.00 | 2.00 | 2.00 | Pass |
| HD 142415 b | 1 | 1 | 1 | 1.05 | 105.00 | 5.00 | 5.00 | Pass |
| HD 147513 b | 1 | 1 | 1 | 1.26 | 126.00 | 26.00 | 26.00 | Fail |
| HD 150706 b | 0.610 | 0.226981 | 0.690 | 0.82 | 118.80 | 18.80 | 18.80 | Pass |
| HD 160691 b | 2 | 8 | 1.68 | 1.5 | 89.29 | -10.71 | 10.71 | Pass |
| HD 16141 b | 0.233 | 0.012649337 | 0.34 | 0.35 | 102.94 | 2.94 | 2.94 | Pass |
| HD 162020 b | 0.034 | 0.000039304 | 0.08 | 0.074 | 92.50 | -7.50 | 7.50 | Pass |
| HD 168443 b | 0.233 | 0.012649337 | 0.34 | 0.295 | 86.76 | -13.24 | 13.24 | Pass |
| HD 168746 b | 0.021 | 0.000009261 | 0.06 | 0.065 | 108.33 | 8.33 | 8.33 | Pass |
| HD 169830 b | 0.610 | 0.226981 | 0.690 | 0.82 | 118.80 | 18.80 | 18.80 | Pass |
| HD 177830 b | 1 | 1 | 1 | 1.22 | 122.00 | 22.00 | 22.00 | Fail |
| HD 178911 B b | 0.233 | 0.012649337 | 0.34 | 0.32 | 94.12 | -5.88 | 5.88 | Pass |
| HD 179949 b | 0.013 | 0.000002197 | 0.04 | 0.044 | 110.00 | 10.00 | 10.00 | Pass |
| HD 187123 b | 0.013 | 0.000002197 | 0.04 | 0.042 | 105.00 | 5.00 | 5.00 | Pass |
| HD 190228 b | 3 | 27 | 2.28 | 2.31 | 101.32 | 1.32 | 1.32 | Pass |
| HD 192263 b | 0.089 | 0.000704969 | 0.16 | 0.15 | 93.75 | -6.25 | 6.25 | Pass |
| HD 195019 b | 0.089 | 0.000704969 | 0.16 | 0.138 | 86.25 | -13.75 | 13.75 | Pass |
| HD 196050 b | 3 | 27 | 2.28 | 2.5 | 109.65 | 9.65 | 9.65 | Pass |
| HD 19994 b | 2 | 8 | 1.68 | 1.31 | 77.98 | -22.02 | 22.02 | Fail |
| HD 20367 b | 1 | 1 | 1 | 1.25 | 125.00 | 25.00 | 25.00 | Fail |
| HD 2039 b | 3 | 27 | 2.28 | 2.2 | 96.49 | -3.51 | 3.51 | Pass |
| HD 209458 b | 0.021 | 0.000009261 | 0.06 | 0.047 | 78.33 | -21.67 | 21.67 | Fail |
| HD 210277 b | 1 | 1 | 1 | 1.13 | 113.00 | 13.00 | 13.00 | Pass |
| HD 213240 b | 3 | 27 | 2.28 | 2.03 | 89.04 | -10.96 | 10.96 | Pass |
| HD 216435 b | 3 | 27 | 2.28 | 2.6 | 114.04 | 14.04 | 14.04 | Pass |
| HD 216437 b | 3 | 27 | 2.28 | 2.66 | 116.67 | 16.67 | 16.67 | Pass |
| HD 216770 b | 0.377 | 0.053582633 | 0.48 | 0.46 | 95.83 | -4.17 | 4.17 | Pass |
| HD 217107 b | 0.034 | 0.000039304 | 0.08 | 0.074 | 92.50 | -7.50 | 7.50 | Pass |
| HD 219542B b | 0.377 | 0.053582633 | 0.48 | 0.46 | 95.83 | -4.17 | 4.17 | Pass |
| HD 222582 b | 2 | 8 | 1.68 | 1.35 | 80.36 | -19.64 | 19.64 | Pass |
| HD 23079 b | 2 | 8 | 1.68 | 1.59 | 94.64 | -5.36 | 5.36 | Pass |
| HD 23596 b | 3 | 27 | 2.28 | 2.88 | 126.32 | 26.32 | 26.32 | Fail |
| HD 27442 b | 1 | 1 | 1 | 1.18 | 118.00 | 18.00 | 18.00 | Pass |
| HD 28185 b | 1 | 1 | 1 | 1.03 | 103.00 | 3.00 | 3.00 | Pass |
| HD 30177 b | 5 | 125 | 3.34 | 3.8 | 113.77 | 13.77 | 13.77 | Pass |
| HD 33636 b | 5 | 125 | 3.34 | 3.3 | 98.80 | -1.20 | 1.20 | Pass |
| HD 3651 b | 0.233 | 0.012649337 | 0.34 | 0.295 | 86.76 | -13.24 | 13.24 | Pass |
| HD 37124 b | 0.610 | 0.226981 | 0.690 | 0.53 | 76.79 | -23.21 | 23.21 | Fail |
| HD 38529 b | 0.003 | 0.000000027 | 0.01 | 0.013 | 130.00 | 30.00 | 30.00 | Fail |
| HD 39091 b | 5 | 125 | 3.34 | 3.4 | 101.80 | 1.80 | 1.80 | Pass |
| HD 40979 b | 0.610 | 0.226981 | 0.690 | 0.83 | 120.25 | 20.25 | 20.25 | Fail |
| HD 41004A b | 2 | 8 | 1.68 | 1.33 | 79.17 | -20.83 | 20.83 | Fail |
| HD 4203 b | 1 | 1 | 1 | 1.16 | 116.00 | 16.00 | 16.00 | Pass |
| HD 4208 b | 2 | 8 | 1.68 | 1.67 | 99.40 | -0.60 | 0.60 | Pass |
| HD 46375 b | 0.013 | 0.000002197 | 0.04 | 0.041 | 102.50 | 2.50 | 2.50 | Pass |
| HD 47536 b | 3 | 27 | 2.28 | 2.12 | 92.98 | -7.02 | 7.02 | Pass |
| HD 49674 b | 0.021 | 0.000009261 | 0.06 | 0.058 | 96.67 | -3.33 | 3.33 | Pass |
| HD 50554 b | 3 | 27 | 2.28 | 2.38 | 104.39 | 4.39 | 4.39 | Pass |
| HD 52265 b | 0.377 | 0.053582633 | 0.48 | 0.49 | 102.08 | 2.08 | 2.08 | Pass |
| HD 6434 b | 0.089 | 0.000704969 | 0.16 | 0.148 | 92.50 | -7.50 | 7.50 | Pass |
| HD 65216 b | 2 | 8 | 1.68 | 1.37 | 81.55 | -18.45 | 18.45 | Pass |
| HD 68988 b | 0.034 | 0.000039304 | 0.08 | 0.071 | 88.75 | -11.25 | 11.25 | Pass |
| HD 70642 b | 5 | 125 | 3.34 | 3.33 | 99.70 | -0.30 | 0.30 | Pass |
| HD 72659 b | 8 | 512 | 4.76 | 4.15 | 87.18 | -12.82 | 12.82 | Pass |
| HD 73256 b | 0.013 | 0.000002197 | 0.04 | 0.037 | 92.50 | -7.50 | 7.50 | Pass |
| HD 73526 b | 0.610 | 0.226981 | 0.690 | 0.66 | 95.62 | -4.38 | 4.38 | Pass |
| HD 74156 b | 0.233 | 0.012649337 | 0.34 | 0.294 | 86.47 | -13.53 | 13.53 | Pass |
| HD 75289 b | 0.021 | 0.000009261 | 0.06 | 0.046 | 76.67 | -23.33 | 23.33 | Fail |
| HD 76700 b | 0.021 | 0.000009261 | 0.06 | 0.047 | 78.33 | -21.67 | 21.67 | Fail |
| HD 80606 b | 0.377 | 0.053582633 | 0.48 | 0.449 | 93.54 | -6.46 | 6.46 | Pass |
| HD 82943 b | 0.610 | 0.226981 | 0.690 | 0.75 | 108.66 | 8.66 | 8.66 | Pass |
| HD 83443 b | 0.013 | 0.000002197 | 0.04 | 0.037 | 92.50 | -7.50 | 7.50 | Pass |
| HD 8574 b | 0.610 | 0.226981 | 0.690 | 0.77 | 111.56 | 11.56 | 11.56 | Pass |
| HD 89744 b | 1 | 1 | 1 | 0.88 | 88.00 | -12.00 | 12.00 | Pass |
| HD 92788 b | 1 | 1 | 1 | 0.97 | 97.00 | -3.00 | 3.00 | Pass |
| HIP 75458 b | 2 | 8 | 1.68 | 1.4 | 83.33 | -16.67 | 16.67 | Pass |
| HR 810 b | 3 | 27 | 2.28 | 1.95 | 85.53 | -14.47 | 14.47 | Pass |
| OGLE-TR-56 b | 0.008 | 0.000000512 | 0.03 | 0.023 | 76.67 | -23.33 | 23.33 | Fail |
| Tau Boo b | 0.021 | 0.000009261 | 0.06 | 0.049 | 81.67 | -18.33 | 18.33 | Pass |
| Ups And b | 0.021 | 0.000009261 | 0.06 | 0.059 | 98.33 | -1.67 | 1.67 | Pass |
| Ups And d | 3 | 27 | 2.28 | 2.51 | 110.09 | 10.09 | 10.09 | Pass |
| Ups And c | 0.610 | 0.226981 | 0.690 | 0.83 | 120.25 | 20.25 | 20.25 | Fail |
| gamma Cephei b | 3 | 27 | 2.28 | 2.13 | 93.42 | -6.58 | 6.58 | Pass |
| rho CrB b | 0.144 | 0.002985984 | 0.23 | 0.23 | 100.00 | -6.58 | 6.58 | Pass |