Monday, January 29, 2007

1G TABLE:Decelerate for 1 Year

CONTENT
INTRODUCTION
1G DECEL DAYS 0-15
1G DECEL DAYS 16-30               IV: time (t)
1G DECEL DAYS 31-45               AU and c
1G DECEL DAYS 46-60              GRAVITY
1G DECEL DAYS 61-75                xxxx
1G DECEL DAYS 76-90
1G DECEL DAYS 91-105
1G DECEL DAYS 106-120
1G DECEL DAYS 121-135
1G DECEL DAYS 136-150
1G DECEL DAYS 151-165
1G DECEL DAYS 166-180
1G DECEL DAYS 181-195
1G DECEL DAYS 196-210
1G DECEL DAYS 211-225
1G DECEL DAYS 226-240
1G DECEL DAYS 241-255
1G DECEL DAYS 256-270
1G DECEL DAYS 271-285
1G DECEL DAYS 286-300
1G DECEL DAYS 301-315
1G DECEL DAYS 316-330
1G DECEL DAYS 331-345
1G DECEL DAYS 346-360
1G DECEL DAYS 361-365¼

INTRODUCTION

1G Deceleration for 365¼ Days
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc7G Dec1G Dec
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0 daysTo maintain "equivalence", trip's 1G deceleration must be same duration as initial 1G acceleration; EXAMPLE: 1 Year.
Thus, "time" cell is Independent Variable (IV) which counts up from zero days to 365¼ days.
1 days
2 days111¼ AU/dy"Spot Velocity" for deceleration uses same "Einsteinian" formula as for acceleration.
However, decelerated velocities require "reverse order" computation; thus, use "365¼-t" as exponential. 
3 days111.08 AU/dy
4 days110.90 AU/dy64.05% c Convert from Astro Units per day (AU/day) to % light speed (c).  IDENTITY:  c = 173.145 AU/day.
 EXAMPLE:  Value = 110.72 AU/dy × c/173.145 AU/dy = .6395 c = 63.95% c.
5 days110.72 AU/dy63.95% c
6 days110.55 AU/dy63.85% c23,277.0 AUUses same "Einsteinian" formula as for acceleration.
Deceleration leads to shrinking distances which countdown to 0 AUs.
7 days110.37 AU/dy63.74% c23,166.2 AU
8 days110.19 AU/dy63.64% c23,055.6 AU0.3646 LYIDENTITY: 1 LY = 63,240 AUs
Convert Astro Units (AUs) to Light Years (LYs)
22,945.2 AU × 1 LY/63,240 AU = .3628 LY
9 days110.01 AU/dy63.54% c22,945.2 AU0.3628 LY
10 days109.83 AU/dy63.43% c22,835.0 AU0.3611 LY
11 days109.65 AU/dy63.33% c22,725.0 AU0.3593 LY0.514% GW0Assume: ε∇ = .0468% GW per day
After 1 year of 1G deceleration,
total consumption is 15.716% GW0.
Cumulative daily fuel consumed
counts up from 0 to 15.716% GW0.
12 days109.47 AU/dy63.23% c22,615.1 AU0.3576 LY0.560% GW0
13 days109.29 AU/dy63.12% c22,505.4 AU0.3559 LY0.607% GW0
14 days109.11 AU/dy63.02% c22,395.9 AU0.3541 LY0.653% GW0
15 days108.93 AU/dy62.91% c22,286.6 AU0.3524 LY0.700% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc7G Dec1G Dec
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INDEPENDENT VARIABLE: time (t)
Each row is numbered sequentially
from 0 days  to 365¼ days
to reflect days of deceleration.



16 days108.75 AU/dy62.81% c22,177.4 AU0.3507 LY0.746% GW0
17 days108.57 AU/dy62.70% c22,068.5 AU0.3490 LY0.793% GW0
18 days108.38 AU/dy62.60% c21,959.7 AU0.3472 LY0.839% GW0
19 days108.20 AU/dy62.49% c21,851.1 AU0.3455 LY0.885% GW0
20 days108.02 AU/dy62.38% c21,742.7 AU0.3438 LY0.932% GW0
21 days107.83 AU/dy62.28% c21,634.4 AU0.3421 LY0.978% GW0
22 days107.65 AU/dy62.17% c21,526.4 AU0.3404 LY1.025% GW0
23 days107.46 AU/dy62.06% c21,418.5 AU0.3387 LY1.071% GW0
24 days107.27 AU/dy61.96% c21,310.9 AU0.3370 LY1.117% GW0
25 days107.09 AU/dy61.85% c21,203.4 AU0.3353 LY1.163% GW0
26 days106.90 AU/dy61.74% c21,096.1 AU0.3336 LY1.210% GW0
27 days106.71 AU/dy61.63% c20,989.0 AU0.3319 LY1¼6% GW0
28 days106.52 AU/dy61.52% c20,882.1 AU0.3302 LY1.302% GW0
29 days106.33 AU/dy61.41% c20,775.3 AU0.3285 LY1.348% GW0
30 days106.14 AU/dy61.30% c20,668.8 AU0.3268 LY1.395% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc7G Dec1G Dec
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ESSENTIAL CONSTANTS: 
ASTRO UNIT:  AU = 149,597,871 km 
LIGHT SPEED:  c = 173.144 AU/day

c =299,792.5 km

sec
=173.1439 AU

day
= c
Different expressions for lightspeed, c.



31 days105.95 AU/dy61.19% c20,562.4 AU0.3251 LY1.441% GW0
32 days105.76 AU/dy61.08% c20,456.3 AU0.3235 LY1.487% GW0
33 days105.57 AU/dy60.97% c20,350.3 AU0.3218 LY1.533% GW0
34 days105.38 AU/dy60.86% c20,244.5 AU0.3201 LY1.579% GW0
35 days105.19 AU/dy60.75% c20,138.9 AU0.3185 LY1.625% GW0
36 days105.00 AU/dy60.64% c20,033.5 AU0.3168 LY1.671% GW0
37 days104.80 AU/dy60.53% c19,928.3 AU0.3151 LY1.717% GW0
38 days104.61 AU/dy60.42% c19,823.3 AU0.3135 LY1.763% GW0
39 days104.41 AU/dy60.30% c19,718.5 AU0.3118 LY1.809% GW0
40 days104.22 AU/dy60.19% c19,613.9 AU0.3101 LY1.855% GW0
41 days104.02 AU/dy60.08% c19,509.4 AU0.3085 LY1.901% GW0
42 days103.83 AU/dy59.97% c19,405.2 AU0.3069 LY1.947% GW0
43 days103.63 AU/dy59.85% c19,301.2 AU0.3052 LY1.993% GW0
44 days103.43 AU/dy59.74% c19,197.3 AU0.3036 LY2.039% GW0
45 days103.24 AU/dy59.62% c19,093.7 AU0.3019 LY2.084% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
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EARTH GRAVITY

g =.2826%c

day
=847  kps

day
=0.489 AU

day2
Different terms for g= 9.8065 m/sec²



46 days103.04 AU/dy59.51% c18,990.2 AU0.3003 LY2.130% GW0
47 days102.84 AU/dy59.40% c18,887.0 AU0.2987 LY2.176% GW0
48 days102.64 AU/dy59.28% c18,784.0 AU0.2970 LY2.222% GW0
49 days102.44 AU/dy59.16% c18,681.1 AU0.2954 LY2.268% GW0
50 days102.24 AU/dy59.05% c18,578.5 AU0.2938 LY2.313% GW0
51 days102.04 AU/dy58.93% c18,476.0 AU0.2922 LY2.359% GW0
52 days101.84 AU/dy58.82% c18,373.8 AU0.2905 LY2.405% GW0
53 days101.64 AU/dy58.70% c18,271.7 AU0.2889 LY2.450% GW0
54 days101.43 AU/dy58.58% c18,169.9 AU0.2873 LY2.496% GW0
55 days101.23 AU/dy58.46% c18,068.3 AU0.2857 LY2.542% GW0
56 days101.02 AU/dy58.35% c17,966.8 AU0.2841 LY2.587% GW0
57 days100.82 AU/dy58.23% c17,865.6 AU0.2825 LY2.633% GW0
58 days100.62 AU/dy58.11% c17,764.6 AU0.2809 LY2.679% GW0
59 days100.41 AU/dy57.99% c17,663.8 AU0.2793 LY2.724% GW0
60 days100.20 AU/dy57.87% c17,563.1 AU0.2777 LY2.770% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
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day × g

c
=86,400 sec × 9.8065m/sec²

299,792,500 m/sec
=0.2826%
DAILY DECREMENT (Δ): 
1 day of reverse g-force propulsion
decreases velocity equal to 0.2826%c 
as observed by vessel.**
Compliments of Thot Exp Brainstorm!



61 days100.00 AU/dy57.75% c17,462.7 AU0.2761 LY2.815% GW0
62 days99.79 AU/dy57.63% c17,362.5 AU0.2745 LY2.861% GW0
63 days99.58 AU/dy57.51% c17,262.6 AU0.2730 LY2.906% GW0
64 days99.37 AU/dy57.39% c17,162.8 AU0.2714 LY2.951% GW0
65 days99.16 AU/dy57.27% c17,063.2 AU0.2698 LY2.997% GW0
66 days98.95 AU/dy57.15% c16,963.8 AU0.2682 LY3.042% GW0
67 days98.74 AU/dy57.03% c16,864.7 AU0.2667 LY3.088% GW0
68 days98.53 AU/dy56.91% c16,765.7 AU0.2651 LY3.133% GW0
69 days98.32 AU/dy56.78% c16,667.0 AU0.2636 LY3.178% GW0
70 days98.11 AU/dy56.66% c16,568.5 AU0.2620 LY3.224% GW0
71 days97.90 AU/dy56.54% c16,470.2 AU0.2604 LY3.269% GW0
72 days97.68 AU/dy56.42% c16,372.1 AU0.2589 LY3.314% GW0
73 days97.47 AU/dy56.29% c16,274.2 AU0.2573 LY3.359% GW0
74 days97¼ AU/dy56.17% c16,176.5 AU0.2558 LY3.405% GW0
75 days97.04 AU/dy56.04% c16,079.1 AU0.2543 LY3.450% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
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TE brainstorms daily diff (Δ) in 1G vessel velocity.
Observers at departure (perhaps Earth) and dest (stellar neighbor)
can measure vessel velocity as ever decreasing,
while vessel's crew continually measures light speed as consistently c.
HOWEVER, crew notes Earth as retreating faster
and dest star as approaching faster.
 every day of  1G deceleration.
DAILY DIFFERENCE: 
Δ =0.283% c/day 
76 days96.82 AU/dy55.92% c15,981.9 AU0.2527 LY3.495% GW0
77 days96.61 AU/dy55.79% c15,884.8 AU0.2512 LY3.540% GW0
78 days96.39 AU/dy55.67% c15,788.0 AU0.2497 LY3.585% GW0
79 days96.17 AU/dy55.54% c15,691.4 AU0.2481 LY3.631% GW0
80 days95.95 AU/dy55.42% c15,595.1 AU0.2466 LY3.676% GW0
81 days95.73 AU/dy55.29% c15,498.9 AU0.2451 LY3.721% GW0
82 days95.51 AU/dy55.16% c15,403.0 AU0.2436 LY3.766% GW0
83 days95.29 AU/dy55.04% c15,307.3 AU0.2421 LY3.811% GW0
84 days95.07 AU/dy54.91% c15,211.8 AU0.2405 LY3.856% GW0
85 days94.85 AU/dy54.78% c15,116.5 AU0.2390 LY3.901% GW0
86 days94.63 AU/dy54.65% c15,021.5 AU0.2375 LY3.946% GW0
87 days94.41 AU/dy54.52% c14,926.7 AU0.2360 LY3.991% GW0
88 days94.18 AU/dy54.40% c14,832.1 AU0.2345 LY4.036% GW0
89 days93.96 AU/dy54.27% c14,737.7 AU0.2330 LY4.081% GW0
90 days93.74 AU/dy54.14% c14,643.5 AU0.2316 LY4.125% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
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 COMPUTE Velocity (VAU) as AU/day.
EXAMPLE: t = 31 days, compute as follows:
Vt=(1 - (1-Δ)365¼-t) ×c
VAU=(1 - (0.99717)334¼)×173.145 AU/day
VAU = 47.46 AU/day
91 days93.51 AU/dy54.01% c14,549.6 AU0.2301 LY4.170% GW0
92 days93.28 AU/dy53.88% c14,455.9 AU0.2286 LY4.215% GW0
93 days93.06 AU/dy53.75% c14,362.4 AU0.2271 LY4.260% GW0
94 days92.83 AU/dy53.61% c14,269.2 AU0.2256 LY4.305% GW0
95 days92.60 AU/dy53.48% c14,176.2 AU0.2242 LY4.350% GW0
96 days92.37 AU/dy53.35% c14,083.4 AU0.2227 LY4.394% GW0
97 days92.15 AU/dy53.22% c13,990.8 AU0.2212 LY4.439% GW0
98 days91.92 AU/dy53.09% c13,898.5 AU0.2198 LY4.484% GW0
99 days91.69 AU/dy52.95% c13,806.4 AU0.2183 LY4.529% GW0
100 days91.45 AU/dy52.82% c13,714.5 AU0.2169 LY4.573% GW0
101 days91.22 AU/dy52.69% c13,622.8 AU0.2154 LY4.618% GW0
102 days90.99 AU/dy52.55% c13,531.4 AU0.2140 LY4.663% GW0
103 days90.76 AU/dy52.42% c13,440.3 AU0.2125 LY4.707% GW0
104 days90.52 AU/dy52.28% c13,349.3 AU0.2111 LY4.752% GW0
105 days90.29 AU/dy52.15% c13,258.6 AU0.2097 LY4.796% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
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DAILY COUNTDOWN
G-force Deceleration Table decrements ship's velocity from cruise velocity of 111.8 AU/day, reverse order of G-force Acceleration Table. Daily decrements of ship's velocity are Δ = 0.283% c.  Accordingly, the daily velocity shrinks same percentage of light speed, c; eventually reaching a relative zero velocity at the stellar destination to conduct normal ops.  Without the deceleration phase, the interstellar vessel speeds quickly by, barely able to grab a peek.
106 days90.05 AU/dy52.01% c13,168.1 AU0.2082 LY4.841% GW0
107 days89.82 AU/dy51.87% c13,077.9 AU0.2068 LY4.885% GW0
108 days89.58 AU/dy51.74% c12,987.9 AU0.2054 LY4.930% GW0
109 days89.35 AU/dy51.60% c12,898.1 AU0.2040 LY4.974% GW0
110 days89.11 AU/dy51.46% c12,808.6 AU0.2025 LY5.019% GW0
111 days88.87 AU/dy51.33% c12,719.3 AU0.2011 LY5.063% GW0
112 days88.63 AU/dy51.19% c12,630.2 AU0.1997 LY5.108% GW0
113 days88.39 AU/dy51.05% c12,541.4 AU0.1983 LY5.152% GW0
114 days88.15 AU/dy50.91% c12,452.8 AU0.1969 LY5.197% GW0
115 days87.91 AU/dy50.77% c12,364.5 AU0.1955 LY5.241% GW0
116 days87.67 AU/dy50.63% c12,276.4 AU0.1941 LY5.285% GW0
117 days87.43 AU/dy50.49% c12,188.6 AU0.1927 LY5.330% GW0
118 days87.18 AU/dy50.35% c12,100.9 AU0.1913 LY5.374% GW0
119 days86.94 AU/dy50.21% c12,013.6 AU0.1900 LY5.418% GW0
120 days86.69 AU/dy50.07% c11,926.5 AU0.1886 LY5.462% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
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121 days86.45 AU/dy49.93% c11,839.6 AU0.1872 LY5.507% GW0
122 days86.20 AU/dy49.79% c11,752.9 AU0.1858 LY5.551% GW0
123 days85.96 AU/dy49.64% c11,666.6 AU0.1845 LY5.595% GW0
124 days85.71 AU/dy49.50% c11,580.4 AU0.1831 LY5.639% GW0
125 days85.46 AU/dy49.36% c11,494.5 AU0.1818 LY5.683% GW0
126 days85.21 AU/dy49.21% c11,408.9 AU0.1804 LY5.728% GW0
127 days84.96 AU/dy49.07% c11,323.5 AU0.1791 LY5.772% GW0
128 days84.71 AU/dy48.93% c11,238.4 AU0.1777 LY5.816% GW0
129 days84.46 AU/dy48.78% c11,153.5 AU0.1764 LY5.860% GW0
130 days84.21 AU/dy48.64% c11,068.8 AU0.1750 LY5.904% GW0
131 days83.96 AU/dy48.49% c10,984.4 AU0.1737 LY5.948% GW0
132 days83.71 AU/dy48.34% c10,900.3 AU0.1724 LY5.992% GW0
133 days83.45 AU/dy48.20% c10,816.4 AU0.1710 LY6.036% GW0
134 days83.20 AU/dy48.05% c10,732.8 AU0.1697 LY6.080% GW0
135 days82.94 AU/dy47.90% c10,649.4 AU0.1684 LY6.124% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
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136 days82.69 AU/dy47.76% c10,566.3 AU0.1671 LY6.168% GW0
137 days82.43 AU/dy47.61% c10,483.4 AU0.1658 LY6.212% GW0
138 days82.17 AU/dy47.46% c10,400.8 AU0.1645 LY6¼6% GW0
139 days81.91 AU/dy47.31% c10,318.5 AU0.1632 LY6.300% GW0
140 days81.66 AU/dy47.16% c10,236.4 AU0.1619 LY6.343% GW0
141 days81.40 AU/dy47.01% c10,154.6 AU0.1606 LY6.387% GW0
142 days81.14 AU/dy46.86% c10,073.0 AU0.1593 LY6.431% GW0
143 days80.88 AU/dy46.71% c9,991.7 AU0.1580 LY6.475% GW0
144 days80.61 AU/dy46.56% c9,910.6 AU0.1567 LY6.519% GW0
145 days80.35 AU/dy46.41% c9,829.8 AU0.1554 LY6.562% GW0
146 days80.09 AU/dy46¼% c9,749.3 AU0.1542 LY6.606% GW0
147 days79.82 AU/dy46.10% c9,669.0 AU0.1529 LY6.650% GW0
148 days79.56 AU/dy45.95% c9,589.1 AU0.1516 LY6.693% GW0
149 days79.29 AU/dy45.80% c9,509.3 AU0.1504 LY6.737% GW0
150 days79.03 AU/dy45.64% c9,429.9 AU0.1491 LY6.781% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
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151 days78.76 AU/dy45.49% c9,350.7 AU0.1479 LY6.824% GW0
152 days78.49 AU/dy45.33% c9,271.7 AU0.1466 LY6.868% GW0
153 days78.22 AU/dy45.18% c9,193.1 AU0.1454 LY6.912% GW0
154 days77.96 AU/dy45.02% c9,114.7 AU0.1441 LY6.955% GW0
155 days77.69 AU/dy44.87% c9,036.5 AU0.1429 LY6.999% GW0
156 days77.41 AU/dy44.71% c8,958.7 AU0.1417 LY7.042% GW0
157 days77.14 AU/dy44.55% c8,881.1 AU0.1404 LY7.086% GW0
158 days76.87 AU/dy44.40% c8,803.8 AU0.1392 LY7.129% GW0
159 days76.60 AU/dy44.24% c8,726.7 AU0.1380 LY7.173% GW0
160 days76.32 AU/dy44.08% c8,650.0 AU0.1368 LY7.216% GW0
161 days76.05 AU/dy43.92% c8,573.5 AU0.1356 LY7.260% GW0
162 days75.77 AU/dy43.76% c8,497.3 AU0.1344 LY7.303% GW0
163 days75.50 AU/dy43.60% c8,421.3 AU0.1332 LY7.346% GW0
164 days75.22 AU/dy43.44% c8,345.7 AU0.1320 LY7.390% GW0
165 days74.94 AU/dy43.28% c8,270.3 AU0.1308 LY7.433% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
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166 days74.67 AU/dy43.12% c8,195.2 AU0.1296 LY7.476% GW0
167 days74.39 AU/dy42.96% c8,120.3 AU0.1284 LY7.520% GW0
168 days74.11 AU/dy42.80% c8,045.8 AU0.1272 LY7.563% GW0
169 days73.82 AU/dy42.64% c7,971.5 AU0.1261 LY7.606% GW0
170 days73.54 AU/dy42.47% c7,897.5 AU0.1249 LY7.649% GW0
171 days73.26 AU/dy42.31% c7,823.8 AU0.1237 LY7.693% GW0
172 days72.98 AU/dy42.15% c7,750.4 AU0.1226 LY7.736% GW0
173 days72.69 AU/dy41.98% c7,677.3 AU0.1214 LY7.779% GW0
174 days72.41 AU/dy41.82% c7,604.4 AU0.1202 LY7.822% GW0
175 days72.12 AU/dy41.65% c7,531.8 AU0.1191 LY7.865% GW0
176 days71.84 AU/dy41.49% c7,459.5 AU0.1180 LY7.908% GW0
177 days71.55 AU/dy41.32% c7,387.5 AU0.1168 LY7.952% GW0
178 days71.26 AU/dy41.16% c7,315.8 AU0.1157 LY7.995% GW0
179 days70.97 AU/dy40.99% c7,244.4 AU0.1146 LY8.038% GW0
180 days70.68 AU/dy40.82% c7,173.3 AU0.1134 LY8.081% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
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181 days70.39 AU/dy40.65% c7,102.4 AU0.1123 LY8.124% GW0
182 days70.10 AU/dy40.49% c7,031.9 AU0.1112 LY8.167% GW0
183 days69.81 AU/dy40.32% c6,961.6 AU0.1101 LY8.210% GW0
184 days69.51 AU/dy40.15% c6,891.7 AU0.1090 LY8¼3% GW0
185 days69.22 AU/dy39.98% c6,822.0 AU0.1079 LY8.296% GW0
186 days68.93 AU/dy39.81% c6,752.6 AU0.1068 LY8.339% GW0
187 days68.63 AU/dy39.64% c6,683.5 AU0.1057 LY8.381% GW0
188 days68.33 AU/dy39.47% c6,614.7 AU0.1046 LY8.424% GW0
189 days68.04 AU/dy39.29% c6,546.2 AU0.1035 LY8.467% GW0
190 days67.74 AU/dy39.12% c6,478.1 AU0.1024 LY8.510% GW0
191 days67.44 AU/dy38.95% c6,410.2 AU0.1014 LY8.553% GW0
192 days67.14 AU/dy38.78% c6,342.6 AU0.1003 LY8.596% GW0
193 days66.84 AU/dy38.60% c6,275.3 AU0.0992 LY8.638% GW0
194 days66.54 AU/dy38.43% c6,208.3 AU0.0982 LY8.681% GW0
195 days66.24 AU/dy38¼% c6,141.6 AU0.0971 LY8.724% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
196 days65.93 AU/dy38.08% c6,075.2 AU0.0961 LY8.767% GW0
197 days65.63 AU/dy37.90% c6,009.1 AU0.0950 LY8.809% GW0
198 days65.32 AU/dy37.73% c5,943.3 AU0.0940 LY8.852% GW0
199 days65.02 AU/dy37.55% c5,877.9 AU0.0929 LY8.895% GW0
200 days64.71 AU/dy37.37% c5,812.7 AU0.0919 LY8.937% GW0
201 days64.40 AU/dy37.20% c5,747.8 AU0.0909 LY8.980% GW0
202 days64.10 AU/dy37.02% c5,683.3 AU0.0899 LY9.023% GW0
203 days63.79 AU/dy36.84% c5,619.0 AU0.0889 LY9.065% GW0
204 days63.48 AU/dy36.66% c5,555.1 AU0.0878 LY9.108% GW0
205 days63.16 AU/dy36.48% c5,491.5 AU0.0868 LY9.150% GW0
206 days62.85 AU/dy36.30% c5,428.1 AU0.0858 LY9.193% GW0
207 days62.54 AU/dy36.12% c5,365.1 AU0.0848 LY9.235% GW0
208 days62.23 AU/dy35.94% c5,302.5 AU0.0838 LY9.278% GW0
209 days61.91 AU/dy35.76% c5,240.1 AU0.0829 LY9.320% GW0
210 days61.60 AU/dy35.58% c5,178.0 AU0.0819 LY9.363% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
211 days61.28 AU/dy35.39% c5,116.3 AU0.0809 LY9.405% GW0
212 days60.96 AU/dy35.21% c5,054.9 AU0.0799 LY9.447% GW0
213 days60.64 AU/dy35.03% c4,993.7 AU0.0790 LY9.490% GW0
214 days60.33 AU/dy34.84% c4,933.0 AU0.0780 LY9.532% GW0
215 days60.01 AU/dy34.66% c4,872.5 AU0.0770 LY9.574% GW0
216 days59.68 AU/dy34.47% c4,812.3 AU0.0761 LY9.617% GW0
217 days59.36 AU/dy34.29% c4,752.5 AU0.0752 LY9.659% GW0
218 days59.04 AU/dy34.10% c4,693.0 AU0.0742 LY9.701% GW0
219 days58.72 AU/dy33.91% c4,633.8 AU0.0733 LY9.744% GW0
220 days58.39 AU/dy33.72% c4,575.0 AU0.0723 LY9.786% GW0
221 days58.07 AU/dy33.54% c4,516.4 AU0.0714 LY9.828% GW0
222 days57.74 AU/dy33.35% c4,458.2 AU0.0705 LY9.870% GW0
223 days57.41 AU/dy33.16% c4,400.3 AU0.0696 LY9.912% GW0
224 days57.08 AU/dy32.97% c4,342.8 AU0.0687 LY9.955% GW0
225 days56.76 AU/dy32.78% c4,285.5 AU0.0678 LY9.997% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
226 days56.43 AU/dy32.59% c4,228.7 AU0.0669 LY10.039% GW0
227 days56.09 AU/dy32.40% c4,172.1 AU0.0660 LY10.081% GW0
228 days55.76 AU/dy32.21% c4,115.9 AU0.0651 LY10.123% GW0
229 days55.43 AU/dy32.01% c4,060.0 AU0.0642 LY10.165% GW0
230 days55.10 AU/dy31.82% c4,004.4 AU0.0633 LY10.207% GW0
231 days54.76 AU/dy31.63% c3,949.2 AU0.0624 LY10.249% GW0
232 days54.43 AU/dy31.43% c3,894.3 AU0.0616 LY10.291% GW0
233 days54.09 AU/dy31.24% c3,839.7 AU0.0607 LY10.333% GW0
234 days53.75 AU/dy31.04% c3,785.5 AU0.0599 LY10.375% GW0
235 days53.41 AU/dy30.85% c3,731.6 AU0.0590 LY10.417% GW0
236 days53.07 AU/dy30.65% c3,678.0 AU0.0582 LY10.459% GW0
237 days52.73 AU/dy30.46% c3,624.8 AU0.0573 LY10.501% GW0
238 days52.39 AU/dy30.26% c3,572.0 AU0.0565 LY10.543% GW0
239 days52.05 AU/dy30.06% c3,519.4 AU0.0557 LY10.585% GW0
240 days51.70 AU/dy29.86% c3,467.3 AU0.0548 LY10.627% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
241 days51.36 AU/dy29.66% c3,415.4 AU0.0540 LY10.668% GW0
242 days51.02 AU/dy29.46% c3,363.9 AU0.0532 LY10.710% GW0
243 days50.67 AU/dy29.26% c3,312.8 AU0.0524 LY10.752% GW0
244 days50.32 AU/dy29.06% c3,262.0 AU0.0516 LY10.794% GW0
245 days49.97 AU/dy28.86% c3,211.5 AU0.0508 LY10.835% GW0
246 days49.62 AU/dy28.66% c3,161.4 AU0.0500 LY10.877% GW0
247 days49.27 AU/dy28.46% c3,111.7 AU0.0492 LY10.919% GW0
248 days48.92 AU/dy28.26% c3,062.3 AU0.0484 LY10.961% GW0
249 days48.57 AU/dy28.05% c3,013.2 AU0.0476 LY11.002% GW0
250 days48.22 AU/dy27.85% c2,964.5 AU0.0469 LY11.044% GW0
251 days47.86 AU/dy27.64% c2,916.2 AU0.0461 LY11.086% GW0
252 days47.51 AU/dy27.44% c2,868.2 AU0.0454 LY11.127% GW0
253 days47.15 AU/dy27.23% c2,820.5 AU0.0446 LY11.169% GW0
254 days46.79 AU/dy27.03% c2,773.3 AU0.0439 LY11.210% GW0
255 days46.44 AU/dy26.82% c2,726.3 AU0.0431 LY11.252% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
256 days46.08 AU/dy26.61% c2,679.8 AU0.0424 LY11.293% GW0
257 days45.72 AU/dy26.40% c2,633.6 AU0.0416 LY11.335% GW0
258 days45.35 AU/dy26.19% c2,587.7 AU0.0409 LY11.376% GW0
259 days44.99 AU/dy25.98% c2,542.3 AU0.0402 LY11.418% GW0
260 days44.63 AU/dy25.77% c2,497.2 AU0.0395 LY11.459% GW0
261 days44.26 AU/dy25.56% c2,452.4 AU0.0388 LY11.501% GW0
262 days43.90 AU/dy25.35% c2,408.0 AU0.0381 LY11.542% GW0
263 days43.53 AU/dy25.14% c2,364.0 AU0.0374 LY11.584% GW0
264 days43.16 AU/dy24.93% c2,320.3 AU0.0367 LY11.625% GW0
265 days42.80 AU/dy24.72% c2,277.1 AU0.0360 LY11.666% GW0
266 days42.43 AU/dy24.50% c2,234.1 AU0.0353 LY11.708% GW0
267 days42.05 AU/dy24.29% c2,191.6 AU0.0347 LY11.749% GW0
268 days41.68 AU/dy24.07% c2,149.4 AU0.0340 LY11.790% GW0
269 days41.31 AU/dy23.86% c2,107.6 AU0.0333 LY11.832% GW0
270 days40.94 AU/dy23.64% c2,066.2 AU0.0327 LY11.873% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
271 days40.56 AU/dy23.43% c2,025.1 AU0.0320 LY11.914% GW0
272 days40.19 AU/dy23.21% c1,984.5 AU0.0314 LY11.955% GW0
273 days39.81 AU/dy22.99% c1,944.2 AU0.0307 LY11.997% GW0
274 days39.43 AU/dy22.77% c1,904.2 AU0.0301 LY12.038% GW0
275 days39.05 AU/dy22.55% c1,864.7 AU0.0295 LY12.079% GW0
276 days38.67 AU/dy22.33% c1,825.5 AU0.0289 LY12.120% GW0
277 days38.29 AU/dy22.11% c1,786.7 AU0.0283 LY12.161% GW0
278 days37.91 AU/dy21.89% c1,748.3 AU0.0276 LY12.202% GW0
279 days37.52 AU/dy21.67% c1,710.3 AU0.0270 LY12.243% GW0
280 days37.14 AU/dy21.45% c1,672.7 AU0.0264 LY12.284% GW0
281 days36.75 AU/dy21.23% c1,635.4 AU0.0259 LY12.325% GW0
282 days36.37 AU/dy21.00% c1,598.6 AU0.0253 LY12.367% GW0
283 days35.98 AU/dy20.78% c1,562.1 AU0.0247 LY12.408% GW0
284 days35.59 AU/dy20.55% c1,526.0 AU0.0241 LY12.449% GW0
285 days35.20 AU/dy20.33% c1,490.3 AU0.0236 LY12.489% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
286 days34.81 AU/dy20.10% c1,455.0 AU0.0230 LY12.530% GW0
287 days34.42 AU/dy19.88% c1,420.1 AU0.0225 LY12.571% GW0
288 days34.02 AU/dy19.65% c1,385.5 AU0.0219 LY12.612% GW0
289 days33.63 AU/dy19.42% c1,351.4 AU0.0214 LY12.653% GW0
290 days33.23 AU/dy19.19% c1,317.7 AU0.0208 LY12.694% GW0
291 days32.84 AU/dy18.96% c1,284.3 AU0.0203 LY12.735% GW0
292 days32.44 AU/dy18.73% c1,251.4 AU0.0198 LY12.776% GW0
293 days32.04 AU/dy18.50% c1,218.9 AU0.0193 LY12.817% GW0
294 days31.64 AU/dy18.27% c1,186.7 AU0.0188 LY12.857% GW0
295 days31.24 AU/dy18.04% c1,155.0 AU0.0183 LY12.898% GW0
296 days30.83 AU/dy17.81% c1,123.6 AU0.0178 LY12.939% GW0
297 days30.43 AU/dy17.58% c1,092.7 AU0.0173 LY12.980% GW0
298 days30.03 AU/dy17.34% c1,062.2 AU0.0168 LY13.020% GW0
299 days29.62 AU/dy17.11% c1,032.0 AU0.0163 LY13.061% GW0
300 days29.21 AU/dy16.87% c1,002.3 AU0.0158 LY13.102% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
301 days28.80 AU/dy16.64% c973.0 AU0.0154 LY13.142% GW0
302 days28.40 AU/dy16.40% c944.1 AU0.0149 LY13.183% GW0
303 days27.98 AU/dy16.16% c915.6 AU0.0145 LY13.224% GW0
304 days27.57 AU/dy15.92% c887.5 AU0.0140 LY13.264% GW0
305 days27.16 AU/dy15.69% c859.8 AU0.0136 LY13.305% GW0
306 days26.75 AU/dy15.45% c832.6 AU0.0132 LY13.346% GW0
307 days26.33 AU/dy15.21% c805.7 AU0.0127 LY13.386% GW0
308 days25.91 AU/dy14.97% c779.3 AU0.0123 LY13.427% GW0
309 days25.50 AU/dy14.73% c753.3 AU0.0119 LY13.467% GW0
310 days25.08 AU/dy14.48% c727.7 AU0.0115 LY13.508% GW0
311 days24.66 AU/dy14.24% c702.5 AU0.0111 LY13.548% GW0
312 days24.24 AU/dy14.00% c677.8 AU0.0107 LY13.589% GW0
313 days23.82 AU/dy13.75% c653.4 AU0.0103 LY13.629% GW0
314 days23.39 AU/dy13.51% c629.5 AU0.0100 LY13.669% GW0
315 days22.97 AU/dy13.26% c606.1 AU0.0096 LY13.710% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
316 days22.54 AU/dy13.02% c583.0 AU0.0092 LY13.750% GW0
317 days22.11 AU/dy12.77% c560.4 AU0.0089 LY13.791% GW0
318 days21.69 AU/dy12.52% c538.2 AU0.0085 LY13.831% GW0
319 days21.26 AU/dy12.28% c516.4 AU0.0082 LY13.871% GW0
320 days20.83 AU/dy12.03% c495.0 AU0.0078 LY13.912% GW0
321 days20.39 AU/dy11.78% c474.1 AU0.0075 LY13.952% GW0
322 days19.96 AU/dy11.53% c453.6 AU0.0072 LY13.992% GW0
323 days19.53 AU/dy11.28% c433.6 AU0.0069 LY14.032% GW0
324 days19.09 AU/dy11.03% c414.0 AU0.0065 LY14.073% GW0
325 days18.65 AU/dy10.77% c394.8 AU0.0062 LY14.113% GW0
326 days18.22 AU/dy10.52% c376.1 AU0.0059 LY14.153% GW0
327 days17.78 AU/dy10.27% c357.8 AU0.0057 LY14.193% GW0
328 days17.34 AU/dy10.01% c339.9 AU0.0054 LY14.233% GW0
329 days16.89 AU/dy9.76% c322.5 AU0.0051 LY14.273% GW0
330 days16.45 AU/dy9.50% c305.5 AU0.0048 LY14.314% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
331 days16.01 AU/dy9.24% c289.0 AU0.0046 LY14.354% GW0
332 days15.56 AU/dy8.99% c272.9 AU0.0043 LY14.394% GW0
333 days15.11 AU/dy8.73% c257.2 AU0.0041 LY14.434% GW0
334 days14.66 AU/dy8.47% c242.0 AU0.0038 LY14.474% GW0
335 days14.22 AU/dy8.21% c227.3 AU0.0036 LY14.514% GW0
336 days13.76 AU/dy7.95% c213.0 AU0.0034 LY14.554% GW0
337 days13.31 AU/dy7.69% c199.2 AU0.0031 LY14.594% GW0
338 days12.86 AU/dy7.43% c185.8 AU0.0029 LY14.634% GW0
339 days12.40 AU/dy7.16% c172.8 AU0.0027 LY14.674% GW0
340 days11.95 AU/dy6.90% c160.4 AU0.0025 LY14.714% GW0
341 days11.49 AU/dy6.64% c148.3 AU0.0023 LY14.754% GW0
342 days11.03 AU/dy6.37% c136.8 AU0.0022 LY14.794% GW0
343 days10.57 AU/dy6.11% c125.7 AU0.0020 LY14.833% GW0
344 days10.11 AU/dy5.84% c115.0 AU0.0018 LY14.873% GW0
345 days9.65 AU/dy5.57% c104.8 AU0.0017 LY14.913% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1 - (1-ε∇)t
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑ Next⇓ BOT
346 days9.19 AU/dy5.31% c95.1 AU0.0015 LY14.953% GW0
347 days8.72 AU/dy5.04% c85.8 AU0.0014 LY14.993% GW0
348 days8.26 AU/dy4.77% c77.0 AU0.0012 LY15.033% GW0
349 days7.79 AU/dy4.50% c68.7 AU0.0011 LY15.072% GW0
350 days7.32 AU/dy4.23% c60.9 AU0.0010 LY15.112% GW0
351 days6.85 AU/dy3.96% c53.5 AU0.0008 LY15.152% GW0
352 days6.38 AU/dy3.68% c46.6 AU0.0007 LY15.192% GW0
353 days5.90 AU/dy3.41% c40.1 AU0.0006 LY15.231% GW0
354 days5.43 AU/dy3.14% c34.1 AU0.0005 LY15.271% GW0
355 days4.95 AU/dy2.86% c28.6 AU0.0005 LY15.311% GW0
356 days4.48 AU/dy2.59% c23.6 AU0.0004 LY15.350% GW0
357 days4.00 AU/dy2.31% c19.1 AU0.0003 LY15.390% GW0
358 days3.52 AU/dy2.03% c15.0 AU0.0002 LY15.429% GW0
359 days3.04 AU/dy1.75% c11.4 AU0.0002 LY15.469% GW0
360 days2.56 AU/dy1.48% c8.3 AU0.0001 LY15.509% GW0
time
(t)
Spot Velocity
(Vt)
Countdown Distance
(dt)
Total Fuel
(ft)
1G Acc 7G Acc 7G Dec 1G Dec
TOP Prev⇑
FUEL FACTORS
Assume exhaust particle speed = .99c.
Thus, exhaust flow, ∇=0.0356% ship's GW/day, is needed for 1G acceleration.
Increase ∇ by efficiency factor, ε = 1.362,
to compensate for inevitable inefficiencies.
Daily Fuel Consumption Rate:
 ε∇ =0.000485 = .0485% GW/day.
Daily Remainder:
1-ε∇ = 0.99951 = 99.951% GW.
360 days2.56 AU/dy1.48% c8.3 AU0.0001 LY15.509% GW0
361 days2.07 AU/dy1.20% c5.7 AU0.0001 LY15.548% GW0
362 days1.59 AU/dy0.92% c3.6 AU0.0001 LY15.588% GW0
363 days1.10 AU/dy0.64% c1.9 AU0.0000 LY15.627% GW0
364 days0.61 AU/dy0.35% c0.8 AU0.0000 LY15.667% GW0
365 days0.12 AU/dy0.07% c0.1 AU0.0000 LY15.706% GW0
365¼ dys0.00 AU/dy0.00% c0.0 AU0.0000 LY15.716% GW0
Given
Vt=(1 - (1-Δ)365¼-t) × c
dt=c × (365¼-t) + Vt

ln(1-Δ)
1-(1-ε∇)t
SLIDESHOW






VOLUME 0: ELEVATIONAL
VOLUME I: ASTEROIDAL
VOLUME II: INTERPLANETARY
VOLUME III: INTERSTELLAR













1G Acceleration for 1 year.
7G Acceleration for 100 days.
7G Deceleration for 48¼ days.
1G Deceleration for 1 year.







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