| Compare the observed P-phase travel times with travel times computed assuming a constant velocity throughout the Earth. | ||||||||
| (Travel times are from this site: http://neic.usgs.gov/neis/travel_times/s-p_table.html ) | ||||||||
| Radius of Earth (km) | 6360.00 | |||||||
| Radians per degree | 0.0175 | |||||||
| Arc Length | Cord Length | Constant Velocity | ||||||
| Delta | Delta | P Travel Time | P Travel Time | R*Delta (km) | 2*R*sin(Delta/2) | Earth Travel Time | ||
| degrees | radians | minutes | seconds | seconds | kilometers | kilometers | seconds | |
| 0.00 | 0.00 | 0.00 | 5.40 | 5.40 | 0.00 | 0.00 | 0.00 | |
| 0.50 | 0.01 | 0.00 | 10.60 | 10.60 | 55.50 | 55.50 | 8.85 | |
| 1.00 | 0.02 | 0.00 | 17.70 | 17.70 | 111.00 | 111.00 | 17.70 | |
| 1.50 | 0.03 | 0.00 | 24.60 | 24.60 | 166.50 | 166.50 | 26.55 | |
| 2.00 | 0.03 | 0.00 | 31.40 | 31.40 | 222.01 | 221.99 | 35.40 | |
| 2.50 | 0.04 | 0.00 | 38.30 | 38.30 | 277.51 | 277.49 | 44.25 | |
| 3.00 | 0.05 | 0.00 | 45.20 | 45.20 | 333.01 | 332.97 | 53.09 | |
| 3.50 | 0.06 | 0.00 | 52.10 | 52.10 | 388.51 | 388.45 | 61.94 | |
| 4.00 | 0.07 | 0.00 | 58.90 | 58.90 | 444.01 | 443.92 | 70.79 | |
| 4.50 | 0.08 | 1.00 | 5.80 | 65.80 | 499.51 | 499.38 | 79.63 | |
| 5.00 | 0.09 | 1.00 | 12.70 | 72.70 | 555.01 | 554.84 | 88.47 | |
| 5.50 | 0.10 | 1.00 | 19.60 | 79.60 | 610.52 | 610.28 | 97.31 | |
| 6.00 | 0.10 | 1.00 | 26.40 | 86.40 | 666.02 | 665.71 | 106.15 | |
| 6.50 | 0.11 | 1.00 | 33.30 | 93.30 | 721.52 | 721.13 | 114.99 | |
| 7.00 | 0.12 | 1.00 | 40.20 | 100.20 | 777.02 | 776.54 | 123.82 | |
| 7.50 | 0.13 | 1.00 | 47.00 | 107.00 | 832.52 | 831.93 | 132.66 | |
| 8.00 | 0.14 | 1.00 | 53.90 | 113.90 | 888.02 | 887.30 | 141.49 | |
| 8.50 | 0.15 | 2.00 | 0.70 | 120.70 | 943.52 | 942.66 | 150.31 | |
| 9.00 | 0.16 | 2.00 | 7.60 | 127.60 | 999.03 | 998.00 | 159.14 | |
| 9.50 | 0.17 | 2.00 | 14.40 | 134.40 | 1054.53 | 1053.32 | 167.96 | |
| 10.00 | 0.17 | 2.00 | 21.30 | 141.30 | 1110.03 | 1108.62 | 176.78 | |
| 11.00 | 0.19 | 2.00 | 35.00 | 155.00 | 1221.03 | 1219.16 | 194.40 | |
| 12.00 | 0.21 | 2.00 | 48.70 | 168.70 | 1332.03 | 1329.60 | 212.01 | |
| 13.00 | 0.23 | 3.00 | 2.30 | 182.30 | 1443.04 | 1439.94 | 229.61 | |
| 14.00 | 0.24 | 3.00 | 16.00 | 196.00 | 1554.04 | 1550.18 | 247.18 | |
| 15.00 | 0.26 | 3.00 | 29.50 | 209.50 | 1665.04 | 1660.29 | 264.74 | |
| 16.00 | 0.28 | 3.00 | 42.50 | 222.50 | 1776.05 | 1770.28 | 282.28 | |
| 17.00 | 0.30 | 3.00 | 55.20 | 235.20 | 1887.05 | 1880.13 | 299.80 | |
| 18.00 | 0.31 | 4.00 | 7.50 | 247.50 | 1998.05 | 1989.84 | 317.29 | |
| 19.00 | 0.33 | 4.00 | 18.80 | 258.80 | 2109.05 | 2099.40 | 334.76 | |
| 20.00 | 0.35 | 4.00 | 29.70 | 269.70 | 2220.06 | 2208.80 | 352.21 | |
| 21.00 | 0.37 | 4.00 | 40.60 | 280.60 | 2331.06 | 2318.03 | 369.62 | |
| 22.00 | 0.38 | 4.00 | 51.30 | 291.30 | 2442.06 | 2427.09 | 387.01 | |
| 23.00 | 0.40 | 5.00 | 1.90 | 301.90 | 2553.07 | 2535.96 | 404.37 | |
| 24.00 | 0.42 | 5.00 | 11.60 | 311.60 | 2664.07 | 2644.63 | 421.70 | |
| 25.00 | 0.44 | 5.00 | 20.70 | 320.70 | 2775.07 | 2753.11 | 439.00 | |
| 26.00 | 0.45 | 5.00 | 29.80 | 329.80 | 2886.07 | 2861.38 | 456.26 | |
| 27.00 | 0.47 | 5.00 | 38.80 | 338.80 | 2997.08 | 2969.42 | 473.49 | |
| 28.00 | 0.49 | 5.00 | 47.70 | 347.70 | 3108.08 | 3077.24 | 490.68 | |
| 29.00 | 0.51 | 5.00 | 56.60 | 356.60 | 3219.08 | 3184.83 | 507.84 | |
| 30.00 | 0.52 | 6.00 | 5.50 | 365.50 | 3330.09 | 3292.18 | 524.96 | |
| 31.00 | 0.54 | 6.00 | 14.30 | 374.30 | 3441.09 | 3399.27 | 542.03 | |
| 32.00 | 0.56 | 6.00 | 23.10 | 383.10 | 3552.09 | 3506.10 | 559.07 | |
| 33.00 | 0.58 | 6.00 | 31.90 | 391.90 | 3663.09 | 3612.67 | 576.06 | |
| 34.00 | 0.59 | 6.00 | 40.50 | 400.50 | 3774.10 | 3718.97 | 593.01 | |
| 35.00 | 0.61 | 6.00 | 49.20 | 409.20 | 3885.10 | 3824.97 | 609.91 | |
| 36.00 | 0.63 | 6.00 | 57.80 | 417.80 | 3996.10 | 3930.69 | 626.77 | |
| 37.00 | 0.65 | 7.00 | 6.30 | 426.30 | 4107.11 | 4036.11 | 643.58 | |
| 38.00 | 0.66 | 7.00 | 14.70 | 434.70 | 4218.11 | 4141.22 | 660.34 | |
| 39.00 | 0.68 | 7.00 | 23.10 | 443.10 | 4329.11 | 4246.02 | 677.05 | |
| 40.00 | 0.70 | 7.00 | 31.40 | 451.40 | 4440.11 | 4350.49 | 693.71 | |
| 41.00 | 0.72 | 7.00 | 39.70 | 459.70 | 4551.12 | 4454.63 | 710.32 | |
| 42.00 | 0.73 | 7.00 | 47.90 | 467.90 | 4662.12 | 4558.44 | 726.87 | |
| 43.00 | 0.75 | 7.00 | 56.00 | 476.00 | 4773.12 | 4661.89 | 743.36 | |
| 44.00 | 0.77 | 8.00 | 4.10 | 484.10 | 4884.13 | 4764.99 | 759.80 | |
| 45.00 | 0.79 | 8.00 | 12.10 | 492.10 | 4995.13 | 4867.73 | 776.19 | |
| 46.00 | 0.80 | 8.00 | 20.00 | 500.00 | 5106.13 | 4970.10 | 792.51 | |
| 47.00 | 0.82 | 8.00 | 27.80 | 507.80 | 5217.13 | 5072.08 | 808.77 | |
| 48.00 | 0.84 | 8.00 | 35.60 | 515.60 | 5328.14 | 5173.69 | 824.97 | |
| 49.00 | 0.86 | 8.00 | 43.30 | 523.30 | 5439.14 | 5274.89 | 841.11 | |
| 50.00 | 0.87 | 8.00 | 50.90 | 530.90 | 5550.14 | 5375.70 | 857.18 | |
| 51.00 | 0.89 | 8.00 | 58.50 | 538.50 | 5661.15 | 5476.10 | 873.19 | |
| 52.00 | 0.91 | 9.00 | 6.00 | 546.00 | 5772.15 | 5576.08 | 889.14 | |
| 53.00 | 0.93 | 9.00 | 13.40 | 553.40 | 5883.15 | 5675.63 | 905.01 | |
| 54.00 | 0.94 | 9.00 | 20.70 | 560.70 | 5994.15 | 5774.75 | 920.82 | |
| 55.00 | 0.96 | 9.00 | 28.00 | 568.00 | 6105.16 | 5873.44 | 936.55 | |
| 56.00 | 0.98 | 9.00 | 35.20 | 575.20 | 6216.16 | 5971.67 | 952.22 | |
| 57.00 | 0.99 | 9.00 | 42.30 | 582.30 | 6327.16 | 6069.45 | 967.81 | |
| 58.00 | 1.01 | 9.00 | 49.40 | 589.40 | 6438.17 | 6166.77 | 983.33 | |
| 59.00 | 1.03 | 9.00 | 56.30 | 596.30 | 6549.17 | 6263.62 | 998.77 | |
| 60.00 | 1.05 | 10.00 | 3.20 | 603.20 | 6660.17 | 6360.00 | 1014.14 | |
| 61.00 | 1.06 | 10.00 | 10.10 | 610.10 | 6771.17 | 6455.88 | 1029.43 | |
| 62.00 | 1.08 | 10.00 | 16.80 | 616.80 | 6882.18 | 6551.28 | 1044.64 | |
| 63.00 | 1.10 | 10.00 | 23.50 | 623.50 | 6993.18 | 6646.18 | 1059.77 | |
| 64.00 | 1.12 | 10.00 | 30.10 | 630.10 | 7104.18 | 6740.57 | 1074.82 | |
| 65.00 | 1.13 | 10.00 | 36.70 | 636.70 | 7215.19 | 6834.45 | 1089.79 | |
| 66.00 | 1.15 | 10.00 | 43.20 | 643.20 | 7326.19 | 6927.80 | 1104.68 | |
| 67.00 | 1.17 | 10.00 | 49.50 | 649.50 | 7437.19 | 7020.63 | 1119.48 | |
| 68.00 | 1.19 | 10.00 | 55.90 | 655.90 | 7548.19 | 7112.93 | 1134.19 | |
| 69.00 | 1.20 | 11.00 | 2.10 | 662.10 | 7659.20 | 7204.68 | 1148.83 | |
| 70.00 | 1.22 | 11.00 | 8.30 | 668.30 | 7770.20 | 7295.89 | 1163.37 | |
| 71.00 | 1.24 | 11.00 | 14.40 | 674.40 | 7881.20 | 7386.54 | 1177.82 | |
| 72.00 | 1.26 | 11.00 | 20.40 | 680.40 | 7992.20 | 7476.62 | 1192.19 | |
| 73.00 | 1.27 | 11.00 | 26.40 | 686.40 | 8103.21 | 7566.14 | 1206.46 | |
| 74.00 | 1.29 | 11.00 | 32.30 | 692.30 | 8214.21 | 7655.08 | 1220.64 | |
| 75.00 | 1.31 | 11.00 | 38.10 | 698.10 | 8325.21 | 7743.44 | 1234.73 | |
| 76.00 | 1.33 | 11.00 | 43.80 | 703.80 | 8436.22 | 7831.21 | 1248.73 | |
| 77.00 | 1.34 | 11.00 | 49.50 | 709.50 | 8547.22 | 7918.38 | 1262.63 | |
| 78.00 | 1.36 | 11.00 | 55.10 | 715.10 | 8658.22 | 8004.95 | 1276.43 | |
| 79.00 | 1.38 | 12.00 | 0.60 | 720.60 | 8769.22 | 8090.91 | 1290.14 | |
| 80.00 | 1.40 | 12.00 | 6.00 | 726.00 | 8880.23 | 8176.25 | 1303.75 | |
| 81.00 | 1.41 | 12.00 | 11.40 | 731.40 | 8991.23 | 8260.97 | 1317.26 | |
| 82.00 | 1.43 | 12.00 | 16.70 | 736.70 | 9102.23 | 8345.07 | 1330.67 | |
| 83.00 | 1.45 | 12.00 | 21.90 | 741.90 | 9213.24 | 8428.52 | 1343.97 | |
| 84.00 | 1.47 | 12.00 | 27.00 | 747.00 | 9324.24 | 8511.34 | 1357.18 | |
| 85.00 | 1.48 | 12.00 | 32.00 | 752.00 | 9435.24 | 8593.50 | 1370.28 | |
| 86.00 | 1.50 | 12.00 | 37.00 | 757.00 | 9546.24 | 8675.01 | 1383.28 | |
| 87.00 | 1.52 | 12.00 | 41.90 | 761.90 | 9657.25 | 8755.86 | 1396.17 | |
| 88.00 | 1.54 | 12.00 | 46.70 | 766.70 | 9768.25 | 8836.05 | 1408.96 | |
| 89.00 | 1.55 | 12.00 | 51.40 | 771.40 | 9879.25 | 8915.56 | 1421.63 | |
| 90.00 | 1.57 | 12.00 | 56.10 | 776.10 | 9990.26 | 8994.39 | 1434.20 | |
| 91.00 | 1.59 | 13.00 | 0.70 | 780.70 | 10101.26 | 9072.54 | 1446.67 | |
| 92.00 | 1.61 | 13.00 | 5.40 | 785.40 | 10212.26 | 9150.00 | 1459.02 | |
| 93.00 | 1.62 | 13.00 | 10.00 | 790.00 | 10323.26 | 9226.76 | 1471.26 | |
| 94.00 | 1.64 | 13.00 | 14.50 | 794.50 | 10434.27 | 9302.81 | 1483.38 | |
| 95.00 | 1.66 | 13.00 | 19.10 | 799.10 | 10545.27 | 9378.16 | 1495.40 | |
| 96.00 | 1.68 | 13.00 | 23.60 | 803.60 | 10656.27 | 9452.80 | 1507.30 | |
| 97.00 | 1.69 | 13.00 | 28.10 | 808.10 | 10767.28 | 9526.71 | 1519.09 | |
| 98.00 | 1.71 | 13.00 | 32.60 | 812.60 | 10878.28 | 9599.90 | 1530.76 | |
| 99.00 | 1.73 | 13.00 | 37.00 | 817.00 | 10989.28 | 9672.36 | 1542.31 | |
| 100.00 | 1.75 | 13.00 | 41.50 | 821.50 | 11100.28 | 9744.08 | 1553.75 | |
| 101.00 | 1.76 | 13.00 | 45.90 | 825.90 | 11211.29 | 9815.06 | 1565.06 | |
| 102.00 | 1.78 | 13.00 | 50.40 | 830.40 | 11322.29 | 9885.29 | 1576.26 | |
| 103.00 | 1.80 | 13.00 | 54.80 | 834.80 | 11433.29 | 9954.77 | 1587.34 | |
| 104.00 | 1.82 | 13.00 | 59.20 | 839.20 | 11544.30 | 10023.49 | 1598.30 | |
| 105.00 | 1.83 | 14.00 | 3.70 | 843.70 | 11655.30 | 10091.45 | 1609.14 | |