Constant Acceleration Distance

[Heroman]

Hi all. I have worked up a table I would like to share with all you space travellers out there. This is a table of travelled distance based on constant acceleration. Useful for determining time to 100d, etc.It should be relateively accurate (I hope! I will repost with any inaccuracies fixed), though I only used a simple 9.86 for 1G instead of plugging in a bigger number. The distances are in kilometers. The formula is the basic d=1/2 at^2. with v=at and d=vt. d becomes at^2. What this means is that after accelerating the time/g combo, you will travel twice that distance over the next period of time with no acceleration. Example: Going 2g for 1 hour yields 127,786km. If you now coast an hour, you will go another 127,786*2km. If you want to make your own in a spreadsheet, where row '1' has the Gs listed horizontally and Column 'A' has the times listed (in hours), your formula you put in B2 and copy to every cell is:=0.5*(B$1*9.86)*($A2*3600*$A2*3600)/10009.86 is of course Gs. 3600 is # seconds in an hour (since the column is listed in hours), 1000 is to convert m to km.Chart is below (but in preview stuck it waaay down for some reason).I also have a 'optimal travel' chart which is the basic "accellerate 1/2 way, decellerate the other half"

Time	Constant Acceleration (g)
	1	2	3	4	5	6
6 segments	0.18	0.37	0.55	0.74	0.92	1.11
Full turn	0.71	1.42	2.13	2.84	3.55	4.26
1 minute	4	9	13	18	22	27
5 minutes	18	35	53	71	89	106
15 minutes	444	887	1,331	1,775	2,219	2,662
0.25 Hours	3,993	7,987	11,980	15,973	19,967	23,960
0.5 Hours	15,973	31,946	47,920	63,893	79,866	95,839
0.5 Hours	15,973	31,946	47,920	63,893	79,866	95,839
0.75 Hours	35,940	71,879	107,819	143,759	179,699	215,638
1 Hour	63,893	127,786	191,678	255,571	319,464	383,357
1.5 Hours	143,759	287,518	431,276	575,035	718,794	862,553
2 Hours	255,571	511,142	766,714	1,022,285	1,277,856	1,533,427
2.5 Hours	399,330	798,660	1,197,990	1,597,320	1,996,650	2,395,980
3 Hours	575,035	1,150,070	1,725,106	2,300,141	2,875,176	3,450,211
3.5 Hours	782,687	1,565,374	2,348,060	3,130,747	3,913,434	4,696,121
4 Hours	1,022,285	2,044,570	3,066,854	4,089,139	5,111,424	6,133,709
4.5 Hours	1,293,829	2,587,658	3,881,488	5,175,317	6,469,146	7,762,975
5 Hours	1,597,320	3,194,640	4,791,960	6,389,280	7,986,600	9,583,920
5.5 Hours	1,932,757	3,865,514	5,798,272	7,731,029	9,663,786	11,596,543
6 Hours	2,300,141	4,600,282	6,900,422	9,200,563	11,500,704	13,800,845
6.5 Houts	2,699,471	5,398,942	8,098,412	10,797,883	13,497,354	16,196,825
7 Hours	3,130,747	6,261,494	9,392,242	12,522,989	15,653,736	18,784,483