7G TABLE: Accelerate 100 Days
To effectively accomplish an interstellar resupply mission, an Artificial Intelligent (AI) vessel could use 7G propulsion to quickly intercept the primary 1G vessel. EXAMPLE: the 7G vessel needs only 100 days to greatly exceed the 1G vessel cruise velocity. This table describes daily progress throughout a typical 7G acceleration duration planned to stop near the end of the 1G vessel's 1 year acceleration.
 | time | Velocity | Incr. Dist. | Total Distance | Total Fuel | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 days | 0.00 AU/dy | 0.00% c | 0.0 AU | 0.0 AU | 0.0000 LY | 0.000% GW0 | |||||
| 1 days | 3.43 AU/dy | 1.98% c | 1.7 AU | 1.7 AU | 0.0000 LY | 0.328% GW0 | |||||
| 2 days | 6.80 AU/dy | 3.92% c | 5.1 AU | 6.8 AU | 0.0001 LY | 0.654% GW0 | |||||
| 3 days | 10.09 AU/dy | 5.83% c | 8.4 AU | 15.3 AU | 0.0002 LY | 0.980% GW0 | |||||
| 4 days | 13.32 AU/dy | 7.70% c | 11.7 AU | 27.0 AU | 0.0004 LY | 1.304% GW0 | |||||
| 5 days | 16.49 AU/dy | 9.53% c | 14.9 AU | 41.9 AU | 0.0007 LY | 1.627% GW0 | |||||
| 6 days | 19.60 AU/dy | 11.32% c | 18.0 AU | 60.0 AU | 0.0009 LY | 1.950% GW0 | |||||
| 7 days | 22.64 AU/dy | 13.08% c | 21.1 AU | 81.1 AU | 0.0013 LY | 2.271% GW0 | |||||
| 8 days | 25.62 AU/dy | 14.80% c | 24.1 AU | 105.2 AU | 0.0017 LY | 2.591% GW0 | |||||
| 9 days | 28.55 AU/dy | 16.49% c | 27.1 AU | 132.3 AU | 0.0021 LY | 2.910% GW0 | |||||
| 10 days | 31.42 AU/dy | 18.14% c | 30.0 AU | 162.3 AU | 0.0026 LY | 3.228% GW0 | |||||
| 11 days | 34.23 AU/dy | 19.77% c | 32.8 AU | 195.1 AU | 0.0031 LY | 3.545% GW0 | |||||
| 12 days | 36.98 AU/dy | 21.36% c | 35.6 AU | 230.7 AU | 0.0036 LY | 3.861% GW0 | |||||
| 13 days | 39.68 AU/dy | 22.92% c | 38.3 AU | 269.1 AU | 0.0043 LY | 4.176% GW0 | |||||
| 14 days | 42.33 AU/dy | 24.45% c | 41.0 AU | 310.1 AU | 0.0049 LY | 4.490% GW0 | |||||
| 15 days | 44.92 AU/dy | 25.94% c | 43.6 AU | 353.7 AU | 0.0056 LY | 4.803% GW0 | |||||
 | Given |
| dt - dt-1 |
| ft = 1 - (1-ε∇)t | ||||||
| 16 days | 47.46 AU/dy | 27.41% c | 46.2 AU | 399.9 AU | 0.0063 LY | 5.115% GW0 | |||||
| 17 days | 49.96 AU/dy | 28.85% c | 48.7 AU | 448.6 AU | 0.0071 LY | 5.426% GW0 | |||||
| 18 days | 52.40 AU/dy | 30.26% c | 51.2 AU | 499.8 AU | 0.0079 LY | 5.735% GW0 | |||||
| 19 days | 54.79 AU/dy | 31.65% c | 53.6 AU | 553.4 AU | 0.0088 LY | 6.044% GW0 | |||||
| 20 days | 57.14 AU/dy | 33.00% c | 56.0 AU | 609.4 AU | 0.0096 LY | 6.352% GW0 | |||||
| 21 days | 59.44 AU/dy | 34.33% c | 58.3 AU | 667.7 AU | 0.0106 LY | 6.659% GW0 | |||||
| 22 days | 61.70 AU/dy | 35.63% c | 60.6 AU | 728.2 AU | 0.0115 LY | 6.965% GW0 | |||||
| 23 days | 63.91 AU/dy | 36.91% c | 62.8 AU | 791.1 AU | 0.0125 LY | 7.269% GW0 | |||||
| 24 days | 66.08 AU/dy | 38.16% c | 65.0 AU | 856.1 AU | 0.0135 LY | 7.573% GW0 | |||||
| 25 days | 68.20 AU/dy | 39.39% c | 67.1 AU | 923.2 AU | 0.0146 LY | 7.876% GW0 | |||||
| 26 days | 70.28 AU/dy | 40.59% c | 69.2 AU | 992.4 AU | 0.0157 LY | 8.178% GW0 | |||||
| 27 days | 72.32 AU/dy | 41.77% c | 71.3 AU | 1,063.7 AU | 0.0168 LY | 8.479% GW0 | |||||
| 28 days | 74.32 AU/dy | 42.93% c | 73.3 AU | 1,137.1 AU | 0.0180 LY | 8.778% GW0 | |||||
| 29 days | 76.29 AU/dy | 44.06% c | 75.3 AU | 1,212.4 AU | 0.0192 LY | 9.077% GW0 | |||||
| 30 days | 78.21 AU/dy | 45.17% c | 77.3 AU | 1,289.6 AU | 0.0204 LY | 9.375% GW0 | |||||
 | time | Velocity | Incr. Dist. | Total Distance | Total Fuel | ||||||
| 31 days | 80.09 AU/dy | 46.26% c | 79.2 AU | 1,368.8 AU | 0.0216 LY | 9.672% GW0 | |||||
| 32 days | 81.94 AU/dy | 47.32% c | 81.0 AU | 1,449.8 AU | 0.0229 LY | 9.968% GW0 | |||||
| 33 days | 83.75 AU/dy | 48.37% c | 82.8 AU | 1,532.7 AU | 0.0242 LY | 10.263% GW0 | |||||
| 34 days | 85.52 AU/dy | 49.39% c | 84.6 AU | 1,617.3 AU | 0.0256 LY | 10.557% GW0 | |||||
| 35 days | 87.26 AU/dy | 50.40% c | 86.4 AU | 1,703.7 AU | 0.0269 LY | 10.850% GW0 | |||||
| 36 days | 88.97 AU/dy | 51.38% c | 88.1 AU | 1,791.8 AU | 0.0283 LY | 11.142% GW0 | |||||
| 37 days | 90.64 AU/dy | 52.35% c | 89.8 AU | 1,881.6 AU | 0.0298 LY | 11.433% GW0 | |||||
| 38 days | 92.28 AU/dy | 53.30% c | 91.5 AU | 1,973.1 AU | 0.0312 LY | 11.723% GW0 | |||||
| 39 days | 93.88 AU/dy | 54.22% c | 93.1 AU | 2,066.2 AU | 0.0327 LY | 12.012% GW0 | |||||
| 40 days | 95.46 AU/dy | 55.13% c | 94.7 AU | 2,160.8 AU | 0.0342 LY | 12.301% GW0 | |||||
| 41 days | 97.00 AU/dy | 56.02% c | 96.2 AU | 2,257.1 AU | 0.0357 LY | 12.588% GW0 | |||||
| 42 days | 98.51 AU/dy | 56.90% c | 97.8 AU | 2,354.8 AU | 0.0372 LY | 12.874% GW0 | |||||
| 43 days | 100.00 AU/dy | 57.75% c | 99.3 AU | 2,454.1 AU | 0.0388 LY | 13.160% GW0 | |||||
| 44 days | 101.45 AU/dy | 58.59% c | 100.7 AU | 2,554.8 AU | 0.0404 LY | 13.444% GW0 | |||||
| 45 days | 102.87 AU/dy | 59.42% c | 102.2 AU | 2,657.0 AU | 0.0420 LY | 13.728% GW0 | |||||
 | Given |
| dt - dt-1 |
| ft = 1 - (1-ε∇)t | ||||||
| 46 days | 104.27 AU/dy | 60.22% c | 103.6 AU | 2,760.6 AU | 0.0437 LY | 14.010% GW0 | |||||
| 47 days | 105.64 AU/dy | 61.01% c | 105.0 AU | 2,865.5 AU | 0.0453 LY | 14.292% GW0 | |||||
| 48 days | 106.98 AU/dy | 61.79% c | 106.3 AU | 2,971.8 AU | 0.0470 LY | 14.573% GW0 | |||||
| 49 days | 108.30 AU/dy | 62.55% c | 107.6 AU | 3,079.5 AU | 0.0487 LY | 14.853% GW0 | |||||
| 50 days | 109.58 AU/dy | 63.29% c | 108.9 AU | 3,188.4 AU | 0.0504 LY | 15.132% GW0 | |||||
| 51 days | 110.85 AU/dy | 64.02% c | 110.2 AU | 3,298.6 AU | 0.0522 LY | 15.410% GW0 | |||||
| 52 days | 112.09 AU/dy | 64.74% c | 111.5 AU | 3,410.1 AU | 0.0539 LY | 15.687% GW0 | |||||
| 53 days | 113.30 AU/dy | 65.44% c | 112.7 AU | 3,522.8 AU | 0.0557 LY | 15.963% GW0 | |||||
| 54 days | 114.49 AU/dy | 66.12% c | 113.9 AU | 3,636.7 AU | 0.0575 LY | 16.238% GW0 | |||||
| 55 days | 115.66 AU/dy | 66.80% c | 115.1 AU | 3,751.8 AU | 0.0593 LY | 16.513% GW0 | |||||
| 56 days | 116.80 AU/dy | 67.46% c | 116.2 AU | 3,868.0 AU | 0.0612 LY | 16.786% GW0 | |||||
| 57 days | 117.92 AU/dy | 68.11% c | 117.4 AU | 3,985.4 AU | 0.0630 LY | 17.059% GW0 | |||||
| 58 days | 119.02 AU/dy | 68.74% c | 118.5 AU | 4,103.8 AU | 0.0649 LY | 17.331% GW0 | |||||
| 59 days | 120.10 AU/dy | 69.36% c | 119.6 AU | 4,223.4 AU | 0.0668 LY | 17.601% GW0 | |||||
| 60 days | 121.15 AU/dy | 69.97% c | 120.6 AU | 4,344.0 AU | 0.0687 LY | 17.871% GW0 | |||||
 | time | Velocity | Incr. Dist. | Total Distance | Total Fuel | ||||||
| 61 days | 122.19 AU/dy | 70.57% c | 121.7 AU | 4,465.7 AU | 0.0706 LY | 18.140% GW0 | |||||
| 62 days | 123.20 AU/dy | 71.15% c | 122.7 AU | 4,588.4 AU | 0.0726 LY | 18.409% GW0 | |||||
| 63 days | 124.20 AU/dy | 71.73% c | 123.7 AU | 4,712.1 AU | 0.0745 LY | 18.676% GW0 | |||||
| 64 days | 125.17 AU/dy | 72.29% c | 124.7 AU | 4,836.8 AU | 0.0765 LY | 18.942% GW0 | |||||
| 65 days | 126.13 AU/dy | 72.84% c | 125.6 AU | 4,962.4 AU | 0.0785 LY | 19.208% GW0 | |||||
| 66 days | 127.06 AU/dy | 73.38% c | 126.6 AU | 5,089.0 AU | 0.0805 LY | 19.472% GW0 | |||||
| 67 days | 127.98 AU/dy | 73.91% c | 127.5 AU | 5,216.5 AU | 0.0825 LY | 19.736% GW0 | |||||
| 68 days | 128.88 AU/dy | 74.43% c | 128.4 AU | 5,345.0 AU | 0.0845 LY | 19.999% GW0 | |||||
| 69 days | 129.76 AU/dy | 74.94% c | 129.3 AU | 5,474.3 AU | 0.0866 LY | 20.261% GW0 | |||||
| 70 days | 130.62 AU/dy | 75.44% c | 130.2 AU | 5,604.5 AU | 0.0886 LY | 20.523% GW0 | |||||
| 71 days | 131.47 AU/dy | 75.93% c | 131.0 AU | 5,735.5 AU | 0.0907 LY | 20.783% GW0 | |||||
| 72 days | 132.30 AU/dy | 76.41% c | 131.9 AU | 5,867.4 AU | 0.0928 LY | 21.042% GW0 | |||||
| 73 days | 133.12 AU/dy | 76.88% c | 132.7 AU | 6,000.1 AU | 0.0949 LY | 21.301% GW0 | |||||
| 74 days | 133.91 AU/dy | 77.34% c | 133.5 AU | 6,133.6 AU | 0.0970 LY | 21.559% GW0 | |||||
| 75 days | 134.70 AU/dy | 77.79% c | 134.3 AU | 6,268.0 AU | 0.0991 LY | 21.816% GW0 | |||||
 | Given |
| dt - dt-1 |
| ft = 1 - (1-ε∇)t | ||||||
| 76 days | 135.46 AU/dy | 78.24% c | 135.1 AU | 6,403.0 AU | 0.1012 LY | 22.072% GW0 | |||||
| 77 days | 136.21 AU/dy | 78.67% c | 135.8 AU | 6,538.9 AU | 0.1034 LY | 22.327% GW0 | |||||
| 78 days | 136.95 AU/dy | 79.10% c | 136.6 AU | 6,675.5 AU | 0.1056 LY | 22.582% GW0 | |||||
| 79 days | 137.67 AU/dy | 79.51% c | 137.3 AU | 6,812.8 AU | 0.1077 LY | 22.835% GW0 | |||||
| 80 days | 138.38 AU/dy | 79.92% c | 138.0 AU | 6,950.8 AU | 0.1099 LY | 23.088% GW0 | |||||
| 81 days | 139.08 AU/dy | 80.32% c | 138.7 AU | 7,089.5 AU | 0.1121 LY | 23.340% GW0 | |||||
| 82 days | 139.76 AU/dy | 80.72% c | 139.4 AU | 7,229.0 AU | 0.1143 LY | 23.591% GW0 | |||||
| 83 days | 140.42 AU/dy | 81.10% c | 140.1 AU | 7,369.0 AU | 0.1165 LY | 23.842% GW0 | |||||
| 84 days | 141.08 AU/dy | 81.48% c | 140.7 AU | 7,509.8 AU | 0.1188 LY | 24.091% GW0 | |||||
| 85 days | 141.72 AU/dy | 81.85% c | 141.4 AU | 7,651.2 AU | 0.1210 LY | 24.340% GW0 | |||||
| 86 days | 142.34 AU/dy | 82.21% c | 142.0 AU | 7,793.2 AU | 0.1232 LY | 24.588% GW0 | |||||
| 87 days | 142.96 AU/dy | 82.57% c | 142.7 AU | 7,935.9 AU | 0.1255 LY | 24.835% GW0 | |||||
| 88 days | 143.56 AU/dy | 82.91% c | 143.3 AU | 8,079.1 AU | 0.1278 LY | 25.081% GW0 | |||||
| 89 days | 144.15 AU/dy | 83.26% c | 143.9 AU | 8,223.0 AU | 0.1300 LY | 25.326% GW0 | |||||
| 90 days | 144.73 AU/dy | 83.59% c | 144.4 AU | 8,367.4 AU | 0.1323 LY | 25.571% GW0 | |||||
 | time | Velocity | Incr. Dist. | Total Distance | Total Fuel | ||||||
| 91 days | 145.30 AU/dy | 83.92% c | 145.1 AU | 8,512.5 AU | 0.1346 LY | 25.815% GW0 | |||||
| 92 days | 145.86 AU/dy | 84.24% c | 145.6 AU | 8,658.0 AU | 0.1369 LY | 26.058% GW0 | |||||
| 93 days | 146.40 AU/dy | 84.56% c | 146.1 AU | 8,804.2 AU | 0.1392 LY | 26.300% GW0 | |||||
| 94 days | 146.94 AU/dy | 84.86% c | 146.7 AU | 8,950.8 AU | 0.1415 LY | 26.541% GW0 | |||||
| 95 days | 147.46 AU/dy | 85.17% c | 147.2 AU | 9,098.0 AU | 0.1439 LY | 26.782% GW0 | |||||
| 96 days | 147.98 AU/dy | 85.46% c | 147.7 AU | 9,245.8 AU | 0.1462 LY | 27.022% GW0 | |||||
| 97 days | 148.48 AU/dy | 85.76% c | 148.2 AU | 9,394.0 AU | 0.1485 LY | 27.261% GW0 | |||||
| 98 days | 148.98 AU/dy | 86.04% c | 148.7 AU | 9,542.7 AU | 0.1509 LY | 27.499% GW0 | |||||
| 99 days | 149.46 AU/dy | 86.32% c | 149.2 AU | 9,691.9 AU | 0.1533 LY | 27.737% GW0 | |||||
| 100 days | 149.93 AU/dy | 86.59% c | 149.7 AU | 9,841.6 AU | 0.1556 LY | 27.974% GW0 | |||||
| Given |
| dt - dt-1 |
| ft = 1 - (1-ε∇)t | |||||||
| 1) FUEL FACTOR: Exhaust flow, ∇
Assume exhaust particle speed is 99% light speed (.99c).
Thus, ship needs exhaust flow, ∇= 0.2492% ship’s GW
for each day of powered flight (%GW/day),
for 7G acceleration. |
2) FUEL FACTOR: Efficiency Factor, ε
Compensate for inevitable inefficiencies by increasing ∇ by factor, ε.
Compute daily fuel consumption rate:
ε∇ =0.003394 = .3394% GW/day.
1-ε∇ = 0.9966 = daily Remainder of ship's GW.
|
posted by JimODell at 2:14 AM
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