1G TABLE: Accelerate for 1 Year

CONTENTS
1G ACCEL DAYS 0-15	INTRODUCTION
1G ACCEL DAYS 16-30	IV: time (t)
1G ACCEL DAYS 31-45	ESSENTIAL: AU & c
1G ACCEL DAYS 46-60	GRAVITY
1G ACCEL DAYS 61-75	DAILY DIFF Δ
1G ACCEL DAYS 76-90	PERSISTENT c
1G ACCEL DAYS 91-105	REMAINDER
1G ACCEL DAYS 106-120	SPOT VEL
1G ACCEL DAYS 121-135	VEL as AU/DAY
1G ACCEL DAYS 136-150	VEL as % c
1G ACCEL DAYS 151-165	DIST as AUs
1G ACCEL DAYS 166-180	DIST as LYs
1G ACCEL DAYS 181-195	INCR DIST
1G ACCEL DAYS 196-210	mmm
1G ACCEL DAYS 211-225	nnn
1G ACCEL DAYS 226-240	ooo
1G ACCEL DAYS 241-255	ppp
1G ACCEL DAYS 256-270	qqq
1G ACCEL DAYS 271-285	rrr
1G ACCEL DAYS 286-300	sss
1G ACCEL DAYS 301-315	ttt
1G ACCEL DAYS 316-330	uuu
1G ACCEL DAYS 331-345	vvv
1G ACCEL DAYS 346-360	awwwwa
1G ACCEL DAYS 361-365¼	axxxxa

 1G Acceleration for One Year

time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	INTRODUCTION Thot Exp. (TE) assumes ... no sane human will travel to the stars if voyage  takes several generations and/or several centuries of cryogenic storage; i.e., one way journey with no hope of seeing loved ones again.  TE further assumes that no rational enterprise will fund an interstellar mission with no hope of seeing any return on a considerable investment.  THEREFORE, TE offers following brainstorm. Divide an interstellar voyage into THREE PHASES:Ph. I: Accelerate for one year at G-force propulsion.  Achieve considerable velocity and simulate gravity. Ph. II: Cruise for several years to nearby star, at considerable speed, perhaps 64% light speed (c). Simulate Earth like gravity via centrifugal force due to longitudinal spin. Ph. III: Decelerate for one year at G-force in reverse of Phase I.  Achieve operational velocity upon arrival at destination stellar system.  This table considers PHASE I.
0 days	0.00 AU/dy	0.00% c	0.0 AU	0.0 AU	0.0000 LY	0.000% GW0
1 days	0.49 AU/dy	0.28% c	0.2 AU	0.2 AU	0.0000 LY	0.047% GW0
2 days	0.98 AU/dy	0.57% c	0.7 AU	1.0 AU	0.0000 LY	0.094% GW0
3 days	1.47 AU/dy	0.85% c	1.2 AU	2.2 AU	0.0000 LY	0.140% GW0
4 days	1.95 AU/dy	1.13% c	1.7 AU	3.9 AU	0.0001 LY	0.187% GW0
5 days	2.44 AU/dy	1.41% c	2.2 AU	6.1 AU	0.0001 LY	0.234% GW0
6 days	2.92 AU/dy	1.69% c	2.7 AU	8.8 AU	0.0001 LY	0.280% GW0
7 days	3.40 AU/dy	1.97% c	3.2 AU	12.0 AU	0.0002 LY	0.327% GW0
8 days	3.89 AU/dy	2.24% c	3.6 AU	15.6 AU	0.0002 LY	0.374% GW0
9 days	4.37 AU/dy	2.52% c	4.1 AU	19.7 AU	0.0003 LY	0.420% GW0
10 days	4.84 AU/dy	2.80% c	4.6 AU	24.3 AU	0.0004 LY	0.467% GW0
11 days	5.32 AU/dy	3.07% c	5.1 AU	29.4 AU	0.0005 LY	0.514% GW0
12 days	5.80 AU/dy	3.35% c	5.6 AU	35.0 AU	0.0006 LY	0.560% GW0
13 days	6.27 AU/dy	3.62% c	6.0 AU	41.0 AU	0.0006 LY	0.607% GW0
14 days	6.74 AU/dy	3.89% c	6.5 AU	47.5 AU	0.0008 LY	0.653% GW0
15 days	7.21 AU/dy	4.17% c	7.0 AU	54.5 AU	0.0009 LY	0.700% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t +  Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ INDEPENDENT VARIABLE: time (t) Each row is numbered sequentially from 0 days  to 365¼ days, G-force propulsion duration.
16 days	7.68 AU/dy	4.44% c	7.4 AU	61.9 AU	0.0010 LY	0.746% GW0
17 days	8.15 AU/dy	4.71% c	7.9 AU	69.9 AU	0.0011 LY	0.793% GW0
18 days	8.62 AU/dy	4.98% c	8.4 AU	78.2 AU	0.0012 LY	0.839% GW0
19 days	9.09 AU/dy	5.25% c	8.9 AU	87.1 AU	0.0014 LY	0.885% GW0
20 days	9.55 AU/dy	5.52% c	9.3 AU	96.4 AU	0.0015 LY	0.932% GW0
21 days	10.01 AU/dy	5.78% c	9.8 AU	106.2 AU	0.0017 LY	0.978% GW0
22 days	10.48 AU/dy	6.05% c	10.2 AU	116.4 AU	0.0018 LY	1.025% GW0
23 days	10.94 AU/dy	6.32% c	10.7 AU	127.1 AU	0.0020 LY	1.071% GW0
24 days	11.40 AU/dy	6.58% c	11.2 AU	138.3 AU	0.0022 LY	1.117% GW0
25 days	11.86 AU/dy	6.85% c	11.6 AU	149.9 AU	0.0024 LY	1.163% GW0
26 days	12.31 AU/dy	7.11% c	12.1 AU	162.0 AU	0.0026 LY	1.210% GW0
27 days	12.77 AU/dy	7.37% c	12.5 AU	174.6 AU	0.0028 LY	1.256% GW0
28 days	13.22 AU/dy	7.64% c	13.0 AU	187.6 AU	0.0030 LY	1.302% GW0
29 days	13.68 AU/dy	7.90% c	13.4 AU	201.0 AU	0.0032 LY	1.348% GW0
30 days	14.13 AU/dy	8.16% c	13.9 AU	214.9 AU	0.0034 LY	1.395% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ 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 days	14.58 AU/dy	8.42% c	14.4 AU	229.3 AU	0.0036 LY	1.441% GW0
32 days	15.03 AU/dy	8.68% c	14.8 AU	244.1 AU	0.0039 LY	1.487% GW0
33 days	15.48 AU/dy	8.94% c	15.3 AU	259.3 AU	0.0041 LY	1.533% GW0
34 days	15.92 AU/dy	9.20% c	15.7 AU	275.0 AU	0.0043 LY	1.579% GW0
35 days	16.37 AU/dy	9.45% c	16.1 AU	291.2 AU	0.0046 LY	1.625% GW0
36 days	16.81 AU/dy	9.71% c	16.6 AU	307.8 AU	0.0049 LY	1.671% GW0
37 days	17.26 AU/dy	9.97% c	17.0 AU	324.8 AU	0.0051 LY	1.717% GW0
38 days	17.70 AU/dy	10.22% c	17.5 AU	342.3 AU	0.0054 LY	1.763% GW0
39 days	18.14 AU/dy	10.48% c	17.9 AU	360.2 AU	0.0057 LY	1.809% GW0
40 days	18.58 AU/dy	10.73% c	18.4 AU	378.5 AU	0.0060 LY	1.855% GW0
41 days	19.01 AU/dy	10.98% c	18.8 AU	397.3 AU	0.0063 LY	1.901% GW0
42 days	19.45 AU/dy	11.23% c	19.2 AU	416.6 AU	0.0066 LY	1.947% GW0
43 days	19.89 AU/dy	11.49% c	19.7 AU	436.2 AU	0.0069 LY	1.993% GW0
44 days	20.32 AU/dy	11.74% c	20.1 AU	456.3 AU	0.0072 LY	2.039% GW0
45 days	20.75 AU/dy	11.99% c	20.5 AU	476.9 AU	0.0075 LY	2.084% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ EARTH GRAVITY g = .2826%c day = 847  kps day = 0.489 AU day2 Different terms for g= 9.8065 m/sec²
46 days	21.19 AU/dy	12.24% c	21.0 AU	497.9 AU	0.0079 LY	2.130% GW0
47 days	21.62 AU/dy	12.48% c	21.4 AU	519.3 AU	0.0082 LY	2.176% GW0
48 days	22.05 AU/dy	12.73% c	21.8 AU	541.1 AU	0.0086 LY	2.222% GW0
49 days	22.47 AU/dy	12.98% c	22.3 AU	563.3 AU	0.0089 LY	2.268% GW0
50 days	22.90 AU/dy	13.23% c	22.7 AU	586.0 AU	0.0093 LY	2.313% GW0
51 days	23.33 AU/dy	13.47% c	23.1 AU	609.1 AU	0.0096 LY	2.359% GW0
52 days	23.75 AU/dy	13.72% c	23.5 AU	632.7 AU	0.0100 LY	2.405% GW0
53 days	24.17 AU/dy	13.96% c	24.0 AU	656.6 AU	0.0104 LY	2.450% GW0
54 days	24.60 AU/dy	14.21% c	24.4 AU	681.0 AU	0.0108 LY	2.496% GW0
55 days	25.02 AU/dy	14.45% c	24.8 AU	705.8 AU	0.0112 LY	2.542% GW0
56 days	25.44 AU/dy	14.69% c	25.2 AU	731.1 AU	0.0116 LY	2.587% GW0
57 days	25.86 AU/dy	14.93% c	25.6 AU	756.7 AU	0.0120 LY	2.633% GW0
58 days	26.27 AU/dy	15.17% c	26.1 AU	782.8 AU	0.0124 LY	2.679% GW0
59 days	26.69 AU/dy	15.41% c	26.5 AU	809.3 AU	0.0128 LY	2.724% GW0
60 days	27.10 AU/dy	15.65% c	26.9 AU	836.2 AU	0.0132 LY	2.770% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ day × g c = 86,400 sec × 9.8065m/sec² 299,792,500 m/sec = 0.2826% DAILY INCREMENT (Δ):  1 day of g-force propulsion gains velocity equal to 0.2826%c  as observed by vessel crew & pax.** **Compliments Thot Exp Brainstorm.
61 days	27.52 AU/dy	15.89% c	27.3 AU	863.5 AU	0.0137 LY	2.815% GW0
62 days	27.93 AU/dy	16.13% c	27.7 AU	891.2 AU	0.0141 LY	2.861% GW0
63 days	28.34 AU/dy	16.37% c	28.1 AU	919.3 AU	0.0145 LY	2.906% GW0
64 days	28.75 AU/dy	16.61% c	28.5 AU	947.9 AU	0.0150 LY	2.951% GW0
65 days	29.16 AU/dy	16.84% c	29.0 AU	976.8 AU	0.0154 LY	2.997% GW0
66 days	29.57 AU/dy	17.08% c	29.4 AU	1,006.2 AU	0.0159 LY	3.042% GW0
67 days	29.98 AU/dy	17.31% c	29.8 AU	1,036.0 AU	0.0164 LY	3.088% GW0
68 days	30.38 AU/dy	17.55% c	30.2 AU	1,066.2 AU	0.0169 LY	3.133% GW0
69 days	30.79 AU/dy	17.78% c	30.6 AU	1,096.7 AU	0.0173 LY	3.178% GW0
70 days	31.19 AU/dy	18.01% c	31.0 AU	1,127.7 AU	0.0178 LY	3.224% GW0
71 days	31.59 AU/dy	18.25% c	31.4 AU	1,159.1 AU	0.0183 LY	3.269% GW0
72 days	31.99 AU/dy	18.48% c	31.8 AU	1,190.9 AU	0.0188 LY	3.314% GW0
73 days	32.39 AU/dy	18.71% c	32.2 AU	1,223.1 AU	0.0193 LY	3.359% GW0
74 days	32.79 AU/dy	18.94% c	32.6 AU	1,255.7 AU	0.0199 LY	3.405% GW0
75 days	33.19 AU/dy	19.17% c	33.0 AU	1,288.7 AU	0.0204 LY	3.450% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ SPECIAL RELATIVITY: PERSISTENT c Observers at departure location (perhaps Earth) measure vessel velocity as ever increasing. EVERY DAY, vessel goes faster and faster; getting closer to c, but never ever getting there. HOWEVER, light speed, c, stays the same. ON THE OTHER HAND, crew notes as Earth speeds away due to their vessel's G-force acceleration, the difference between their speed and light speed decreases at a daily rate of 0.2826%c. HOWEVER, light speed, c,  stays the same. DAILY DIFFERENCE: Δ =0.2826% c/day .
76 days	33.59 AU/dy	19.40% c	33.4 AU	1,322.1 AU	0.0209 LY	3.495% GW0
77 days	33.98 AU/dy	19.63% c	33.8 AU	1,355.9 AU	0.0214 LY	3.540% GW0
78 days	34.38 AU/dy	19.85% c	34.2 AU	1,390.1 AU	0.0220 LY	3.585% GW0
79 days	34.77 AU/dy	20.08% c	34.6 AU	1,424.6 AU	0.0225 LY	3.631% GW0
80 days	35.16 AU/dy	20.31% c	35.0 AU	1,459.6 AU	0.0231 LY	3.676% GW0
81 days	35.55 AU/dy	20.53% c	35.4 AU	1,495.0 AU	0.0236 LY	3.721% GW0
82 days	35.94 AU/dy	20.76% c	35.7 AU	1,530.7 AU	0.0242 LY	3.766% GW0
83 days	36.33 AU/dy	20.98% c	36.1 AU	1,566.8 AU	0.0248 LY	3.811% GW0
84 days	36.72 AU/dy	21.21% c	36.5 AU	1,603.4 AU	0.0254 LY	3.856% GW0
85 days	37.11 AU/dy	21.43% c	36.9 AU	1,640.3 AU	0.0259 LY	3.901% GW0
86 days	37.49 AU/dy	21.65% c	37.3 AU	1,677.6 AU	0.0265 LY	3.946% GW0
87 days	37.88 AU/dy	21.88% c	37.7 AU	1,715.3 AU	0.0271 LY	3.991% GW0
88 days	38.26 AU/dy	22.10% c	38.1 AU	1,753.3 AU	0.0277 LY	4.036% GW0
89 days	38.64 AU/dy	22.32% c	38.5 AU	1,791.8 AU	0.0283 LY	4.081% GW0
90 days	39.02 AU/dy	22.54% c	38.8 AU	1,830.6 AU	0.0289 LY	4.125% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ REMAINDER: (1-Δ)t=Rt As vessel continues its G-force journey to the stars, Earth observes it going faster and faster, but it never attains c, speed of light. HOWEVER, diff between vessel speed and c keeps shrinking to eventually approach c asymptotically.  Conveniently expressed as exponential  (1-Δ)t** EXAMPLE: R91=(1-0.002826)91=(0.997174)91 = 0.77296 **Compliments Thot Exp Brainstorm.
91 days	39.40 AU/dy	22.76% c	39.2 AU	1,869.8 AU	0.0296 LY	4.170% GW0
92 days	39.78 AU/dy	22.98% c	39.6 AU	1,909.4 AU	0.0302 LY	4.215% GW0
93 days	40.16 AU/dy	23.20% c	40.0 AU	1,949.4 AU	0.0308 LY	4.260% GW0
94 days	40.54 AU/dy	23.41% c	40.4 AU	1,989.8 AU	0.0315 LY	4.305% GW0
95 days	40.91 AU/dy	23.63% c	40.7 AU	2,030.5 AU	0.0321 LY	4.350% GW0
96 days	41.29 AU/dy	23.85% c	41.1 AU	2,071.6 AU	0.0328 LY	4.394% GW0
97 days	41.66 AU/dy	24.06% c	41.5 AU	2,113.1 AU	0.0334 LY	4.439% GW0
98 days	42.04 AU/dy	24.28% c	41.8 AU	2,154.9 AU	0.0341 LY	4.484% GW0
99 days	42.41 AU/dy	24.49% c	42.2 AU	2,197.1 AU	0.0347 LY	4.529% GW0
100 days	42.78 AU/dy	24.71% c	42.6 AU	2,239.7 AU	0.0354 LY	4.573% GW0
101 days	43.15 AU/dy	24.92% c	43.0 AU	2,282.7 AU	0.0361 LY	4.618% GW0
102 days	43.52 AU/dy	25.13% c	43.3 AU	2,326.0 AU	0.0368 LY	4.663% GW0
103 days	43.88 AU/dy	25.35% c	43.7 AU	2,369.7 AU	0.0375 LY	4.707% GW0
104 days	44.25 AU/dy	25.56% c	44.1 AU	2,413.8 AU	0.0382 LY	4.752% GW0
105 days	44.62 AU/dy	25.77% c	44.4 AU	2,458.2 AU	0.0389 LY	4.796% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ SPOT VELOCITY (Vt) can be determined by subtracting each day's remainder from 1, representing 100% c, light speed. Vt = (1 - (1-Δ)t) RECALL: Δ = 0.002826  1-Δ = 0.997174
106 days	44.98 AU/dy	25.98% c	44.8 AU	2,503.0 AU	0.0396 LY	4.841% GW0
107 days	45.34 AU/dy	26.19% c	45.2 AU	2,548.2 AU	0.0403 LY	4.885% GW0
108 days	45.71 AU/dy	26.40% c	45.5 AU	2,593.7 AU	0.0410 LY	4.930% GW0
109 days	46.07 AU/dy	26.61% c	45.9 AU	2,639.6 AU	0.0417 LY	4.974% GW0
110 days	46.43 AU/dy	26.81% c	46.2 AU	2,685.8 AU	0.0425 LY	5.019% GW0
111 days	46.79 AU/dy	27.02% c	46.6 AU	2,732.5 AU	0.0432 LY	5.063% GW0
112 days	47.14 AU/dy	27.23% c	47.0 AU	2,779.4 AU	0.0440 LY	5.108% GW0
113 days	47.50 AU/dy	27.43% c	47.3 AU	2,826.7 AU	0.0447 LY	5.152% GW0
114 days	47.86 AU/dy	27.64% c	47.7 AU	2,874.4 AU	0.0455 LY	5.197% GW0
115 days	48.21 AU/dy	27.85% c	48.0 AU	2,922.5 AU	0.0462 LY	5.241% GW0
116 days	48.57 AU/dy	28.05% c	48.4 AU	2,970.8 AU	0.0470 LY	5.285% GW0
117 days	48.92 AU/dy	28.25% c	48.7 AU	3,019.6 AU	0.0477 LY	5.330% GW0
118 days	49.27 AU/dy	28.46% c	49.1 AU	3,068.7 AU	0.0485 LY	5.374% GW0
119 days	49.62 AU/dy	28.66% c	49.4 AU	3,118.1 AU	0.0493 LY	5.418% GW0
120 days	49.97 AU/dy	28.86% c	49.8 AU	3,167.9 AU	0.0501 LY	5.462% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ SPOT VELOCITY (Vt) as Astronomical Units per day (AU/dy). Vt = (1 - (1-Δ)t) × c c = 299,792.5 km sec × 86,400 sec day × AU 149,597,871 km c = 173.144 AU per day EXAMPLE: V121=[1-(0.997174)121]×173.144=50.32 AU/dy
121 days	50.32 AU/dy	29.06% c	50.1 AU	3,218.1 AU	0.0509 LY	5.507% GW0
122 days	50.67 AU/dy	29.27% c	50.5 AU	3,268.6 AU	0.0517 LY	5.551% GW0
123 days	51.02 AU/dy	29.47% c	50.8 AU	3,319.4 AU	0.0525 LY	5.595% GW0
124 days	51.36 AU/dy	29.67% c	51.2 AU	3,370.6 AU	0.0533 LY	5.639% GW0
125 days	51.71 AU/dy	29.87% c	51.5 AU	3,422.2 AU	0.0541 LY	5.683% GW0
126 days	52.05 AU/dy	30.06% c	51.9 AU	3,474.0 AU	0.0549 LY	5.728% GW0
127 days	52.40 AU/dy	30.26% c	52.2 AU	3,526.3 AU	0.0558 LY	5.772% GW0
128 days	52.74 AU/dy	30.46% c	52.6 AU	3,578.8 AU	0.0566 LY	5.816% GW0
129 days	53.08 AU/dy	30.66% c	52.9 AU	3,631.7 AU	0.0574 LY	5.860% GW0
130 days	53.42 AU/dy	30.85% c	53.3 AU	3,685.0 AU	0.0583 LY	5.904% GW0
131 days	53.76 AU/dy	31.05% c	53.6 AU	3,738.6 AU	0.0591 LY	5.948% GW0
132 days	54.10 AU/dy	31.25% c	53.9 AU	3,792.5 AU	0.0600 LY	5.992% GW0
133 days	54.44 AU/dy	31.44% c	54.3 AU	3,846.8 AU	0.0608 LY	6.036% GW0
134 days	54.77 AU/dy	31.63% c	54.6 AU	3,901.4 AU	0.0617 LY	6.080% GW0
135 days	55.11 AU/dy	31.83% c	54.9 AU	3,956.3 AU	0.0626 LY	6.124% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ SPOT VELOCITY (V%c) as per cent light speed, c. Vt = (1 - (1-Δ)t) × c c = 100 per centiles 1.0 × c EXAMPLE: V136=[1-(0.997174)136]× c = 32.02% c
136 days	55.44 AU/dy	32.02% c	55.3 AU	4,011.6 AU	0.0634 LY	6.168% GW0
137 days	55.78 AU/dy	32.21% c	55.6 AU	4,067.2 AU	0.0643 LY	6.212% GW0
138 days	56.11 AU/dy	32.41% c	55.9 AU	4,123.2 AU	0.0652 LY	6.256% GW0
139 days	56.44 AU/dy	32.60% c	56.3 AU	4,179.4 AU	0.0661 LY	6.300% GW0
140 days	56.77 AU/dy	32.79% c	56.6 AU	4,236.0 AU	0.0670 LY	6.343% GW0
141 days	57.10 AU/dy	32.98% c	56.9 AU	4,293.0 AU	0.0679 LY	6.387% GW0
142 days	57.43 AU/dy	33.17% c	57.3 AU	4,350.2 AU	0.0688 LY	6.431% GW0
143 days	57.76 AU/dy	33.36% c	57.6 AU	4,407.8 AU	0.0697 LY	6.475% GW0
144 days	58.09 AU/dy	33.55% c	57.9 AU	4,465.8 AU	0.0706 LY	6.519% GW0
145 days	58.41 AU/dy	33.74% c	58.3 AU	4,524.0 AU	0.0715 LY	6.562% GW0
146 days	58.74 AU/dy	33.92% c	58.6 AU	4,582.6 AU	0.0725 LY	6.606% GW0
147 days	59.06 AU/dy	34.11% c	58.9 AU	4,641.5 AU	0.0734 LY	6.650% GW0
148 days	59.39 AU/dy	34.30% c	59.2 AU	4,700.7 AU	0.0743 LY	6.693% GW0
149 days	59.71 AU/dy	34.49% c	59.5 AU	4,760.3 AU	0.0753 LY	6.737% GW0
150 days	60.03 AU/dy	34.67% c	59.9 AU	4,820.1 AU	0.0762 LY	6.781% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ Spot Distance (dt) as (AUs) Everyday, vessel goes faster and total distance increases.   TE integrated Vt for following brainstorm: dt = c × t + Vt ln(1-Δ)  Note: Spot Velocity (Vt)  is in the dt formula. EX: d151= 173.145AU day ×151 days + 60.35AU/dy -.00283 = 4,880.3AU
151 days	60.35 AU/dy	34.86% c	60.2 AU	4,880.3 AU	0.0772 LY	6.824% GW0
152 days	60.67 AU/dy	35.04% c	60.5 AU	4,940.8 AU	0.0781 LY	6.868% GW0
153 days	60.99 AU/dy	35.23% c	60.8 AU	5,001.7 AU	0.0791 LY	6.912% GW0
154 days	61.31 AU/dy	35.41% c	61.1 AU	5,062.8 AU	0.0801 LY	6.955% GW0
155 days	61.63 AU/dy	35.59% c	61.5 AU	5,124.3 AU	0.0810 LY	6.999% GW0
156 days	61.94 AU/dy	35.77% c	61.8 AU	5,186.1 AU	0.0820 LY	7.042% GW0
157 days	62.26 AU/dy	35.96% c	62.1 AU	5,248.2 AU	0.0830 LY	7.086% GW0
158 days	62.57 AU/dy	36.14% c	62.4 AU	5,310.6 AU	0.0840 LY	7.129% GW0
159 days	62.89 AU/dy	36.32% c	62.7 AU	5,373.3 AU	0.0850 LY	7.173% GW0
160 days	63.20 AU/dy	36.50% c	63.0 AU	5,436.4 AU	0.0860 LY	7.216% GW0
161 days	63.51 AU/dy	36.68% c	63.4 AU	5,499.7 AU	0.0870 LY	7.260% GW0
162 days	63.82 AU/dy	36.86% c	63.7 AU	5,563.4 AU	0.0880 LY	7.303% GW0
163 days	64.13 AU/dy	37.04% c	64.0 AU	5,627.4 AU	0.0890 LY	7.346% GW0
164 days	64.44 AU/dy	37.22% c	64.3 AU	5,691.6 AU	0.0900 LY	7.390% GW0
165 days	64.75 AU/dy	37.40% c	64.6 AU	5,756.2 AU	0.0910 LY	7.433% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ Spot Distance (dt) as (LYs) Convert AUs to LYs: dLY = dAU × LY 63,241.1 AU = 0.000 015 8 × dAU Consider example: d166  =  .000 0158 ×  5,821.1 AU = 0.0920 LY
166 days	65.06 AU/dy	37.57% c	64.9 AU	5,821.1 AU	0.0920 LY	7.476% GW0
167 days	65.36 AU/dy	37.75% c	65.2 AU	5,886.3 AU	0.0931 LY	7.520% GW0
168 days	65.67 AU/dy	37.93% c	65.5 AU	5,951.9 AU	0.0941 LY	7.563% GW0
169 days	65.97 AU/dy	38.10% c	65.8 AU	6,017.7 AU	0.0952 LY	7.606% GW0
170 days	66.28 AU/dy	38.28% c	66.1 AU	6,083.8 AU	0.0962 LY	7.649% GW0
171 days	66.58 AU/dy	38.45% c	66.4 AU	6,150.2 AU	0.0973 LY	7.693% GW0
172 days	66.88 AU/dy	38.63% c	66.7 AU	6,217.0 AU	0.0983 LY	7.736% GW0
173 days	67.18 AU/dy	38.80% c	67.0 AU	6,284.0 AU	0.0994 LY	7.779% GW0
174 days	67.48 AU/dy	38.98% c	67.3 AU	6,351.3 AU	0.1004 LY	7.822% GW0
175 days	67.78 AU/dy	39.15% c	67.6 AU	6,419.0 AU	0.1015 LY	7.865% GW0
176 days	68.08 AU/dy	39.32% c	67.9 AU	6,486.9 AU	0.1026 LY	7.908% GW0
177 days	68.38 AU/dy	39.49% c	68.2 AU	6,555.1 AU	0.1037 LY	7.952% GW0
178 days	68.68 AU/dy	39.66% c	68.5 AU	6,623.7 AU	0.1047 LY	7.995% GW0
179 days	68.97 AU/dy	39.84% c	68.8 AU	6,692.5 AU	0.1058 LY	8.038% GW0
180 days	69.27 AU/dy	40.01% c	69.1 AU	6,761.6 AU	0.1069 LY	8.081% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ INCREMENTAL DISTANCE (Δd) xxxxx xxxxxx
181 days	69.56 AU/dy	40.18% c	69.4 AU	6,831.0 AU	0.1080 LY	8.124% GW0
182 days	69.86 AU/dy	40.35% c	69.7 AU	6,900.7 AU	0.1091 LY	8.167% GW0
183 days	70.15 AU/dy	40.52% c	70.0 AU	6,970.7 AU	0.1102 LY	8.210% GW0
184 days	70.44 AU/dy	40.68% c	70.3 AU	7,041.0 AU	0.1113 LY	8.253% GW0
185 days	70.73 AU/dy	40.85% c	70.6 AU	7,111.6 AU	0.1125 LY	8.296% GW0
186 days	71.02 AU/dy	41.02% c	70.9 AU	7,182.5 AU	0.1136 LY	8.339% GW0
187 days	71.31 AU/dy	41.19% c	71.2 AU	7,253.7 AU	0.1147 LY	8.381% GW0
188 days	71.60 AU/dy	41.35% c	71.5 AU	7,325.1 AU	0.1158 LY	8.424% GW0
189 days	71.89 AU/dy	41.52% c	71.7 AU	7,396.9 AU	0.1170 LY	8.467% GW0
190 days	72.18 AU/dy	41.69% c	72.0 AU	7,468.9 AU	0.1181 LY	8.510% GW0
191 days	72.46 AU/dy	41.85% c	72.3 AU	7,541.2 AU	0.1192 LY	8.553% GW0
192 days	72.75 AU/dy	42.02% c	72.6 AU	7,613.8 AU	0.1204 LY	8.596% GW0
193 days	73.03 AU/dy	42.18% c	72.9 AU	7,686.7 AU	0.1215 LY	8.638% GW0
194 days	73.32 AU/dy	42.35% c	73.2 AU	7,759.9 AU	0.1227 LY	8.681% GW0
195 days	73.60 AU/dy	42.51% c	73.5 AU	7,833.4 AU	0.1239 LY	8.724% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ mmm
196 days	73.88 AU/dy	42.67% c	73.7 AU	7,907.1 AU	0.1250 LY	8.767% GW0
197 days	74.17 AU/dy	42.83% c	74.0 AU	7,981.1 AU	0.1262 LY	8.809% GW0
198 days	74.45 AU/dy	43.00% c	74.3 AU	8,055.4 AU	0.1274 LY	8.852% GW0
199 days	74.73 AU/dy	43.16% c	74.6 AU	8,130.0 AU	0.1286 LY	8.895% GW0
200 days	75.01 AU/dy	43.32% c	74.9 AU	8,204.9 AU	0.1297 LY	8.937% GW0
201 days	75.28 AU/dy	43.48% c	75.1 AU	8,280.0 AU	0.1309 LY	8.980% GW0
202 days	75.56 AU/dy	43.64% c	75.4 AU	8,355.5 AU	0.1321 LY	9.023% GW0
203 days	75.84 AU/dy	43.80% c	75.7 AU	8,431.2 AU	0.1333 LY	9.065% GW0
204 days	76.11 AU/dy	43.96% c	76.0 AU	8,507.1 AU	0.1345 LY	9.108% GW0
205 days	76.39 AU/dy	44.12% c	76.3 AU	8,583.4 AU	0.1357 LY	9.150% GW0
206 days	76.66 AU/dy	44.28% c	76.5 AU	8,659.9 AU	0.1369 LY	9.193% GW0
207 days	76.94 AU/dy	44.44% c	76.8 AU	8,736.7 AU	0.1382 LY	9.235% GW0
208 days	77.21 AU/dy	44.59% c	77.1 AU	8,813.8 AU	0.1394 LY	9.278% GW0
209 days	77.48 AU/dy	44.75% c	77.3 AU	8,891.1 AU	0.1406 LY	9.320% GW0
210 days	77.75 AU/dy	44.91% c	77.6 AU	8,968.8 AU	0.1418 LY	9.363% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ nnn
211 days	78.03 AU/dy	45.06% c	77.9 AU	9,046.7 AU	0.1431 LY	9.405% GW0
212 days	78.30 AU/dy	45.22% c	78.2 AU	9,124.8 AU	0.1443 LY	9.447% GW0
213 days	78.56 AU/dy	45.37% c	78.4 AU	9,203.2 AU	0.1455 LY	9.490% GW0
214 days	78.83 AU/dy	45.53% c	78.7 AU	9,281.9 AU	0.1468 LY	9.532% GW0
215 days	79.10 AU/dy	45.68% c	79.0 AU	9,360.9 AU	0.1480 LY	9.574% GW0
216 days	79.37 AU/dy	45.84% c	79.2 AU	9,440.1 AU	0.1493 LY	9.617% GW0
217 days	79.63 AU/dy	45.99% c	79.5 AU	9,519.6 AU	0.1505 LY	9.659% GW0
218 days	79.90 AU/dy	46.15% c	79.8 AU	9,599.4 AU	0.1518 LY	9.701% GW0
219 days	80.16 AU/dy	46.30% c	80.0 AU	9,679.4 AU	0.1531 LY	9.744% GW0
220 days	80.43 AU/dy	46.45% c	80.3 AU	9,759.7 AU	0.1543 LY	9.786% GW0
221 days	80.69 AU/dy	46.60% c	80.6 AU	9,840.3 AU	0.1556 LY	9.828% GW0
222 days	80.95 AU/dy	46.75% c	80.8 AU	9,921.1 AU	0.1569 LY	9.870% GW0
223 days	81.21 AU/dy	46.91% c	81.1 AU	10,002.2 AU	0.1582 LY	9.912% GW0
224 days	81.47 AU/dy	47.06% c	81.3 AU	10,083.5 AU	0.1594 LY	9.955% GW0
225 days	81.73 AU/dy	47.21% c	81.6 AU	10,165.2 AU	0.1607 LY	9.997% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ ooo
226 days	81.99 AU/dy	47.36% c	81.9 AU	10,247.0 AU	0.1620 LY	10.039% GW0
227 days	82.25 AU/dy	47.51% c	82.1 AU	10,329.1 AU	0.1633 LY	10.081% GW0
228 days	82.51 AU/dy	47.65% c	82.4 AU	10,411.5 AU	0.1646 LY	10.123% GW0
229 days	82.77 AU/dy	47.80% c	82.6 AU	10,494.2 AU	0.1659 LY	10.165% GW0
230 days	83.02 AU/dy	47.95% c	82.9 AU	10,577.1 AU	0.1673 LY	10.207% GW0
231 days	83.28 AU/dy	48.10% c	83.2 AU	10,660.2 AU	0.1686 LY	10.249% GW0
232 days	83.54 AU/dy	48.25% c	83.4 AU	10,743.6 AU	0.1699 LY	10.291% GW0
233 days	83.79 AU/dy	48.39% c	83.7 AU	10,827.3 AU	0.1712 LY	10.333% GW0
234 days	84.04 AU/dy	48.54% c	83.9 AU	10,911.2 AU	0.1725 LY	10.375% GW0
235 days	84.30 AU/dy	48.69% c	84.2 AU	10,995.4 AU	0.1739 LY	10.417% GW0
236 days	84.55 AU/dy	48.83% c	84.4 AU	11,079.8 AU	0.1752 LY	10.459% GW0
237 days	84.80 AU/dy	48.98% c	84.7 AU	11,164.5 AU	0.1765 LY	10.501% GW0
238 days	85.05 AU/dy	49.12% c	84.9 AU	11,249.4 AU	0.1779 LY	10.543% GW0
239 days	85.30 AU/dy	49.27% c	85.2 AU	11,334.6 AU	0.1792 LY	10.585% GW0
240 days	85.55 AU/dy	49.41% c	85.4 AU	11,420.0 AU	0.1806 LY	10.627% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ ppp
241 days	85.80 AU/dy	49.55% c	85.7 AU	11,505.7 AU	0.1819 LY	10.668% GW0
242 days	86.05 AU/dy	49.70% c	85.9 AU	11,591.6 AU	0.1833 LY	10.710% GW0
243 days	86.29 AU/dy	49.84% c	86.2 AU	11,677.7 AU	0.1847 LY	10.752% GW0
244 days	86.54 AU/dy	49.98% c	86.4 AU	11,764.2 AU	0.1860 LY	10.794% GW0
245 days	86.79 AU/dy	50.12% c	86.7 AU	11,850.8 AU	0.1874 LY	10.835% GW0
246 days	87.03 AU/dy	50.26% c	86.9 AU	11,937.7 AU	0.1888 LY	10.877% GW0
247 days	87.27 AU/dy	50.41% c	87.2 AU	12,024.9 AU	0.1901 LY	10.919% GW0
248 days	87.52 AU/dy	50.55% c	87.4 AU	12,112.3 AU	0.1915 LY	10.961% GW0
249 days	87.76 AU/dy	50.69% c	87.6 AU	12,199.9 AU	0.1929 LY	11.002% GW0
250 days	88.00 AU/dy	50.83% c	87.9 AU	12,287.8 AU	0.1943 LY	11.044% GW0
251 days	88.25 AU/dy	50.97% c	88.1 AU	12,375.9 AU	0.1957 LY	11.086% GW0
252 days	88.49 AU/dy	51.11% c	88.4 AU	12,464.3 AU	0.1971 LY	11.127% GW0
253 days	88.73 AU/dy	51.24% c	88.6 AU	12,552.9 AU	0.1985 LY	11.169% GW0
254 days	88.97 AU/dy	51.38% c	88.8 AU	12,641.8 AU	0.1999 LY	11.210% GW0
255 days	89.21 AU/dy	51.52% c	89.1 AU	12,730.8 AU	0.2013 LY	11.252% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ qqq
256 days	89.44 AU/dy	51.66% c	89.3 AU	12,820.2 AU	0.2027 LY	11.293% GW0
257 days	89.68 AU/dy	51.80% c	89.6 AU	12,909.7 AU	0.2041 LY	11.335% GW0
258 days	89.92 AU/dy	51.93% c	89.8 AU	12,999.5 AU	0.2056 LY	11.376% GW0
259 days	90.15 AU/dy	52.07% c	90.0 AU	13,089.6 AU	0.2070 LY	11.418% GW0
260 days	90.39 AU/dy	52.20% c	90.3 AU	13,179.8 AU	0.2084 LY	11.459% GW0
261 days	90.62 AU/dy	52.34% c	90.5 AU	13,270.3 AU	0.2098 LY	11.501% GW0
262 days	90.86 AU/dy	52.48% c	90.7 AU	13,361.1 AU	0.2113 LY	11.542% GW0
263 days	91.09 AU/dy	52.61% c	91.0 AU	13,452.1 AU	0.2127 LY	11.584% GW0
264 days	91.33 AU/dy	52.74% c	91.2 AU	13,543.3 AU	0.2142 LY	11.625% GW0
265 days	91.56 AU/dy	52.88% c	91.4 AU	13,634.7 AU	0.2156 LY	11.666% GW0
266 days	91.79 AU/dy	53.01% c	91.7 AU	13,726.4 AU	0.2171 LY	11.708% GW0
267 days	92.02 AU/dy	53.15% c	91.9 AU	13,818.3 AU	0.2185 LY	11.749% GW0
268 days	92.25 AU/dy	53.28% c	92.1 AU	13,910.4 AU	0.2200 LY	11.790% GW0
269 days	92.48 AU/dy	53.41% c	92.4 AU	14,002.8 AU	0.2214 LY	11.832% GW0
270 days	92.71 AU/dy	53.54% c	92.6 AU	14,095.4 AU	0.2229 LY	11.873% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ rrr
271 days	92.94 AU/dy	53.68% c	92.8 AU	14,188.2 AU	0.2244 LY	11.914% GW0
272 days	93.16 AU/dy	53.81% c	93.1 AU	14,281.3 AU	0.2258 LY	11.955% GW0
273 days	93.39 AU/dy	53.94% c	93.3 AU	14,374.5 AU	0.2273 LY	11.997% GW0
274 days	93.62 AU/dy	54.07% c	93.5 AU	14,468.0 AU	0.2288 LY	12.038% GW0
275 days	93.84 AU/dy	54.20% c	93.7 AU	14,561.8 AU	0.2303 LY	12.079% GW0
276 days	94.07 AU/dy	54.33% c	94.0 AU	14,655.7 AU	0.2317 LY	12.120% GW0
277 days	94.29 AU/dy	54.46% c	94.2 AU	14,749.9 AU	0.2332 LY	12.161% GW0
278 days	94.52 AU/dy	54.59% c	94.4 AU	14,844.3 AU	0.2347 LY	12.202% GW0
279 days	94.74 AU/dy	54.72% c	94.6 AU	14,938.9 AU	0.2362 LY	12.243% GW0
280 days	94.96 AU/dy	54.85% c	94.9 AU	15,033.8 AU	0.2377 LY	12.284% GW0
281 days	95.19 AU/dy	54.97% c	95.1 AU	15,128.9 AU	0.2392 LY	12.325% GW0
282 days	95.41 AU/dy	55.10% c	95.3 AU	15,224.2 AU	0.2407 LY	12.367% GW0
283 days	95.63 AU/dy	55.23% c	95.5 AU	15,319.7 AU	0.2422 LY	12.408% GW0
284 days	95.85 AU/dy	55.36% c	95.7 AU	15,415.4 AU	0.2438 LY	12.449% GW0
285 days	96.07 AU/dy	55.48% c	96.0 AU	15,511.4 AU	0.2453 LY	12.489% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ sss
286 days	96.29 AU/dy	55.61% c	96.2 AU	15,607.6 AU	0.2468 LY	12.530% GW0
287 days	96.50 AU/dy	55.74% c	96.4 AU	15,703.9 AU	0.2483 LY	12.571% GW0
288 days	96.72 AU/dy	55.86% c	96.6 AU	15,800.6 AU	0.2499 LY	12.612% GW0
289 days	96.94 AU/dy	55.99% c	96.8 AU	15,897.4 AU	0.2514 LY	12.653% GW0
290 days	97.15 AU/dy	56.11% c	97.0 AU	15,994.4 AU	0.2529 LY	12.694% GW0
291 days	97.37 AU/dy	56.24% c	97.3 AU	16,091.7 AU	0.2545 LY	12.735% GW0
292 days	97.59 AU/dy	56.36% c	97.5 AU	16,189.2 AU	0.2560 LY	12.776% GW0
293 days	97.80 AU/dy	56.48% c	97.7 AU	16,286.9 AU	0.2575 LY	12.817% GW0
294 days	98.01 AU/dy	56.61% c	97.9 AU	16,384.8 AU	0.2591 LY	12.857% GW0
295 days	98.23 AU/dy	56.73% c	98.1 AU	16,482.9 AU	0.2606 LY	12.898% GW0
296 days	98.44 AU/dy	56.85% c	98.3 AU	16,581.2 AU	0.2622 LY	12.939% GW0
297 days	98.65 AU/dy	56.98% c	98.5 AU	16,679.8 AU	0.2638 LY	12.980% GW0
298 days	98.86 AU/dy	57.10% c	98.8 AU	16,778.5 AU	0.2653 LY	13.020% GW0
299 days	99.08 AU/dy	57.22% c	99.0 AU	16,877.5 AU	0.2669 LY	13.061% GW0
300 days	99.29 AU/dy	57.34% c	99.2 AU	16,976.7 AU	0.2684 LY	13.102% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ ttt
301 days	99.50 AU/dy	57.46% c	99.4 AU	17,076.1 AU	0.2700 LY	13.142% GW0
302 days	99.70 AU/dy	57.58% c	99.6 AU	17,175.7 AU	0.2716 LY	13.183% GW0
303 days	99.91 AU/dy	57.70% c	99.8 AU	17,275.5 AU	0.2732 LY	13.224% GW0
304 days	100.12 AU/dy	57.82% c	100.0 AU	17,375.5 AU	0.2748 LY	13.264% GW0
305 days	100.33 AU/dy	57.94% c	100.2 AU	17,475.7 AU	0.2763 LY	13.305% GW0
306 days	100.53 AU/dy	58.06% c	100.4 AU	17,576.2 AU	0.2779 LY	13.346% GW0
307 days	100.74 AU/dy	58.18% c	100.6 AU	17,676.8 AU	0.2795 LY	13.386% GW0
308 days	100.95 AU/dy	58.30% c	100.8 AU	17,777.6 AU	0.2811 LY	13.427% GW0
309 days	101.15 AU/dy	58.42% c	101.0 AU	17,878.7 AU	0.2827 LY	13.467% GW0
310 days	101.36 AU/dy	58.54% c	101.3 AU	17,979.9 AU	0.2843 LY	13.508% GW0
311 days	101.56 AU/dy	58.66% c	101.5 AU	18,081.4 AU	0.2859 LY	13.548% GW0
312 days	101.76 AU/dy	58.77% c	101.7 AU	18,183.1 AU	0.2875 LY	13.589% GW0
313 days	101.97 AU/dy	58.89% c	101.9 AU	18,284.9 AU	0.2891 LY	13.629% GW0
314 days	102.17 AU/dy	59.01% c	102.1 AU	18,387.0 AU	0.2907 LY	13.669% GW0
315 days	102.37 AU/dy	59.12% c	102.3 AU	18,489.3 AU	0.2924 LY	13.710% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ uuu
316 days	102.57 AU/dy	59.24% c	102.5 AU	18,591.7 AU	0.2940 LY	13.750% GW0
317 days	102.77 AU/dy	59.36% c	102.7 AU	18,694.4 AU	0.2956 LY	13.791% GW0
318 days	102.97 AU/dy	59.47% c	102.9 AU	18,797.3 AU	0.2972 LY	13.831% GW0
319 days	103.17 AU/dy	59.59% c	103.1 AU	18,900.4 AU	0.2989 LY	13.871% GW0
320 days	103.37 AU/dy	59.70% c	103.3 AU	19,003.6 AU	0.3005 LY	13.912% GW0
321 days	103.57 AU/dy	59.82% c	103.5 AU	19,107.1 AU	0.3021 LY	13.952% GW0
322 days	103.77 AU/dy	59.93% c	103.7 AU	19,210.8 AU	0.3038 LY	13.992% GW0
323 days	103.96 AU/dy	60.04% c	103.9 AU	19,314.6 AU	0.3054 LY	14.032% GW0
324 days	104.16 AU/dy	60.16% c	104.1 AU	19,418.7 AU	0.3071 LY	14.073% GW0
325 days	104.35 AU/dy	60.27% c	104.3 AU	19,522.9 AU	0.3087 LY	14.113% GW0
326 days	104.55 AU/dy	60.38% c	104.5 AU	19,627.4 AU	0.3104 LY	14.153% GW0
327 days	104.74 AU/dy	60.50% c	104.6 AU	19,732.0 AU	0.3120 LY	14.193% GW0
328 days	104.94 AU/dy	60.61% c	104.8 AU	19,836.9 AU	0.3137 LY	14.233% GW0
329 days	105.13 AU/dy	60.72% c	105.0 AU	19,941.9 AU	0.3153 LY	14.273% GW0
330 days	105.33 AU/dy	60.83% c	105.2 AU	20,047.1 AU	0.3170 LY	14.314% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	TC 1G Accel BOT 1G Accel Prev ⇑ 1G Accel Next ⇓ VVV
331 days	105.52 AU/dy	60.94% c	105.4 AU	20,152.6 AU	0.3187 LY	14.354% GW0
332 days	105.71 AU/dy	61.05% c	105.6 AU	20,258.2 AU	0.3203 LY	14.394% GW0
333 days	105.90 AU/dy	61.16% c	105.8 AU	20,364.0 AU	0.3220 LY	14.434% GW0
334 days	106.09 AU/dy	61.27% c	106.0 AU	20,470.0 AU	0.3237 LY	14.474% GW0
335 days	106.28 AU/dy	61.38% c	106.2 AU	20,576.2 AU	0.3254 LY	14.514% GW0
336 days	106.47 AU/dy	61.49% c	106.4 AU	20,682.6 AU	0.3270 LY	14.554% GW0
337 days	106.66 AU/dy	61.60% c	106.6 AU	20,789.1 AU	0.3287 LY	14.594% GW0
338 days	106.85 AU/dy	61.71% c	106.8 AU	20,895.9 AU	0.3304 LY	14.634% GW0
339 days	107.04 AU/dy	61.82% c	106.9 AU	21,002.8 AU	0.3321 LY	14.674% GW0
340 days	107.23 AU/dy	61.93% c	107.1 AU	21,110.0 AU	0.3338 LY	14.714% GW0
341 days	107.42 AU/dy	62.04% c	107.3 AU	21,217.3 AU	0.3355 LY	14.754% GW0
342 days	107.60 AU/dy	62.15% c	107.5 AU	21,324.8 AU	0.3372 LY	14.794% GW0
343 days	107.79 AU/dy	62.25% c	107.7 AU	21,432.5 AU	0.3389 LY	14.833% GW0
344 days	107.97 AU/dy	62.36% c	107.9 AU	21,540.4 AU	0.3406 LY	14.873% GW0
345 days	108.16 AU/dy	62.47% c	108.1 AU	21,648.4 AU	0.3423 LY	14.913% GW0
Given	Vt = (1 - (1-Δ)t) × c		dt - dt-1	dt = c × t + Vt ln(1-Δ)		ft = 1 - (1-ε∇)t	1G Accel TOP 1G Accel Prev⇑ 1G Accel Next ⇓ 1G Accel BOT
346 days	108.34 AU/dy	62.57% c	108.3 AU	21,756.7 AU	0.3440 LY	14.953% GW0
347 days	108.53 AU/dy	62.68% c	108.4 AU	21,865.1 AU	0.3457 LY	14.993% GW0
348 days	108.71 AU/dy	62.79% c	108.6 AU	21,973.7 AU	0.3475 LY	15.033% GW0
349 days	108.89 AU/dy	62.89% c	108.8 AU	22,082.5 AU	0.3492 LY	15.072% GW0
350 days	109.08 AU/dy	63.00% c	109.0 AU	22,191.5 AU	0.3509 LY	15.112% GW0
351 days	109.26 AU/dy	63.10% c	109.2 AU	22,300.7 AU	0.3526 LY	15.152% GW0
352 days	109.44 AU/dy	63.21% c	109.4 AU	22,410.1 AU	0.3544 LY	15.192% GW0
353 days	109.62 AU/dy	63.31% c	109.5 AU	22,519.6 AU	0.3561 LY	15.231% GW0
354 days	109.80 AU/dy	63.42% c	109.7 AU	22,629.3 AU	0.3578 LY	15.271% GW0
355 days	109.98 AU/dy	63.52% c	109.9 AU	22,739.2 AU	0.3596 LY	15.311% GW0
356 days	110.16 AU/dy	63.62% c	110.1 AU	22,849.3 AU	0.3613 LY	15.350% GW0
357 days	110.34 AU/dy	63.73% c	110.3 AU	22,959.5 AU	0.3631 LY	15.390% GW0
358 days	110.52 AU/dy	63.83% c	110.4 AU	23,069.9 AU	0.3648 LY	15.429% GW0
359 days	110.70 AU/dy	63.93% c	110.6 AU	23,180.6 AU	0.3665 LY	15.469% GW0
360 days	110.87 AU/dy	64.04% c	110.8 AU	23,291.3 AU	0.3683 LY	15.509% GW0
time (t)	Spot Velocity (Vt)		Incr. Dist. (Δd)	Spot Distance (dt)		Total Fuel (Ft)	1G Accel TOP 1G Accel 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. 1G Accel Next ⇓ 1G Accel BOT
361 days	111.05 AU/dy	64.14% c	111.0 AU	23,402.3 AU	0.3701 LY	15.548% GW0
362 days	111.23 AU/dy	64.24% c	111.1 AU	23,513.4 AU	0.3718 LY	15.588% GW0
363 days	111.40 AU/dy	64.34% c	111.3 AU	23,624.8 AU	0.3736 LY	15.627% GW0
364 days	111.58 AU/dy	64.44% c	111.5 AU	23,736.3 AU	0.3753 LY	15.667% GW0
365 days	111.75 AU/dy	64.54% c	111.7 AU	23,847.9 AU	0.3771 LY	15.706% GW0
365¼ days	111.80 AU/dy	64.57% c	27.9 AU	23,875.9 AU	0.3775 LY	15.716% GW0

SLIDESHOW

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

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

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