1. Experiments with a clock inserted in a centrifuge - Long

   Parallel mirrors - mirror 3 Figure 1

   Parallel mirrors - mirror 3 Figure 2

   Figure 1 and 2 both show the same "Long" simulation. That means the flash moves undisturbed.
   The mirrors are parallel in the direction of motion. In both simulations initial angle is 60 degrees and the top (ceiling) mirror (#3) is selected first.
   The difference is in the bottom of the display.
   To understand the difference it is important to study the reflection point at the bottom (mirror #1) in the green box 2, box 4, box 6, box 8 and box 10. When you study these points carefull you will see that they slowly move towards the left, towards the left mirror #4.
   • In Figure 1 after reflection against the bottom of the box at position 10, the light flash will reflect against the top of the purple box at point 11. There after the flash will reflect (backwards) at the back side of box 12. The problem is that the speed of the flash in the angular direction is too slow.
   • In Figure 2 after reflection against the bottom of the box at position 10, the light flash also reflects against the top of the purple box at point 11. But now the flash will not reflect against the back side of box 12, but against the bottom of box 12. This point is behind box 12.
     There after the flash will reflect against the top of box 13 and the bottom of box 14. Both these points are behind the clock.

   What both these simulations show is that correct operation of a clock in a centrifuge is difficult.
   For technical details see: Technical Data - Figure 1 and Technical Data - Figure 2
   

2. Experiments with parallel clock in synchronization. - Long

   Parallel mirrors - mirror 3 Figure 3

   Parallel mirrors - mirror 1 Figure 4

   Figure 3 and 4 also show "Long" simulation. That means the flash moves undisturbed.
   The mirrors are parallel.

   • Figure 3 shows a simulation where the top mirror is selected first (mirror #3) and the initial angle is 59.26.
   • Figure 4 shows a simulation where the bottom mirror is selected first (mirror #1) and the initial angle is 61.58.

   The significant aspect of both simulations that they both seem to perform an almost complete revolution around the centrifuge.
   For more technical details see: Technical Data - Figure 3 and Technical Data - Figure 4

   In both cases the results are shown for one complete revolution. The results show that the clock is not stable. See column r

3. Experiments with a clock inserted in a centrifuge - 4 Cycles - Short - v = 0.5

   Parallel mirrors - mirror 1 Figure 5

   Parallel mirrors - mirror 3 Figure 6

   • Figure 5 shows a simulation of a 4 cycles for a clock with parallel mirrors in the direction of movement. The first reflection is towards the bottom (mirror 1)
   • Figure 6 shows a simulation of a 4 cycles for a clock with perpendicular mirrors in the direction of movement. The first reflection is towards the top or ceiling (mirror 3)

   For technical details see:

   • Technical Data - Figure 5 What the data shows is that the behaviour of this clock is stable. The cycle time is constant i.e. 91.369 or 365.48/4 See column tc total.
   • Technical Data - Figure 6 What the data shows is that the behaviour of this clock is stable. The cycle time is constant i.e. 91.369 or 365.479/4 See column tc total.

   The behaviour of both clocks is the same.

   Perpendicular mirrors - mirror 2 Figure 7

   Perpendicular mirrors - mirror 4 Figure 8

   • Figure 7 shows a simulation of a 4 cycles for a clock with perpendicular mirrors in the direction of movement. The first reflection is towards the right (mirror 2)
   • Figure 8 shows a simulation of a 4 cycles for a clock with perpendicular mirrors in the direction of movement. The first reflection is towards the left (mirror 4)

   For technical details see:

   • Technical Data - Figure 7 What the data shows is that the behaviour of this clock is stable. The cycle time is constant i.e. 106.218 or 424.873/4 See column tc total.
   • Technical Data - Figure 8 What the data shows is that the behaviour of this clock is stable. The cycle time is constant i.e. 101.242 or 404.969/4 See column tc total.

   The behaviour of both clocks is different.

4. Experiments with Centrifuge in accelerated rotation

   Parallel mirrors - mirror 3 Figure 9

   Parallel mirrors - mirror 1 Figure 10

   Figure 9 and Figure 10 both show 4 cylces of a clock with parallel mirrors in accelerated rotation.
   The speeds are
   • For the first cylce, the points 1,2,3 and 4 the speed v = 0.1*C
   • For the second cylce, the points 4,5,6 and 7 the speed v = 0.3*C
   • For the third cylce, the points 7,8,9 and 10 the speed v = 0.5*C
   • For the fourth cylce, the points 10,11,12 and 13 the speed v = 0.7*C
   For technical details see: Technical Data - Figure 9 and Technical Data - Figure 10
   What this data shows is that the cycle time of the third cycle with v=0.5 (i.e. 91.369) is identical of what is shown at figure 5 and figure 6 above.
   The problem comes in order to explain how this clock functions when the speed slowly increases from v=0 to v=0.7
   See also: Reflection 1 - Philosophical thoughts

Reflection 1 - Philosophical thoughts

What do all these simulations teach us?

1. IMO the most important lesson is that the behaviour of a clock under different conditions can not be described by any simple mathematical equation. In fact the behaviour in all experiments is different and depend about the technical differences of how the clock is build and operates.
   As such it does not make sense to speak about a good or bad clock. Certain clocks are better than an other clock but no clock is excellent.
   

   A different question is what happens if I make the clock smaller or increase the speed slower? IMO it does not matter.
   Generally speaking any clock in accelerated motion does not function. Only for clocks with a constant speed you have a better chance with time keeping.
   Any way for any clock in a centrifuge type of motion you need an outside clock to constantly synchronize the clocks. This is the case for clocks in space, but even for a clock (as discussed using lightsignals) here on earth, on my table. To synchronise clocks in space you can use an atomic clock here on earth, but the issues are the same.

Appendix 1 - Technical Data

Technical Description of the parameters.

• # Segment number. Each cycle normally consits 3 segments and is one tick of a clock
• x0 and y0. This is the position of the flash.
• phiflash. This is the angle of the flash.
• vcl. This is the speed of the clock times c. Intially the direction is clock wise, towards the right.
• vxflash and vyflash. This is the direction of the flash in x,y coordinates
• mirror. The mirror numbers are: 1 bottom, 2 = right, 3 = top, 4= left, 5= horizontal trough the center, 6 = vertical through the center.
• phimirror. The angle of the mirror
• tc . The time of each line segment. One cylcle consits of three line segments.
• tc total . The accumulated time of all line segments.
• xcl0 and ycl0 . The position of the clock.
• r . The distance of the flash from the center of the clock.
• count1 . The number of iterations required to calculate the angle of the flash at the beginning of the cylcle.
  This number is 1 for a Long simulation.
• count2 . The number of iterations required to calculate the length of each line segment, from the beginning to the point of collision or when it reaches the center.

1. Centrifuge - Parallel clock - Angle 60 degrees - Reflection - Figure 1

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	60	.5	.5	.866	3	359.999	0	0	0	0	0	1	0
   1	11.205	19.409	60	.5	.5	.866	3	351.974	22.411	22.411	11.169	-.784	20.192	1	249
   2	22.017	-24.121	283.948	.5	.241	-.971	1	155.912	44.852	67.263	32.649	-6.966	20.182	1	472
   3	63.114	-2.382	27.877	.5	.883	.467	3	319.264	46.491	113.755	52.205	-19.382	20.198	1	490
   4	48.373	-44.361	250.651	.5	-.332	-.944	1	123.332	44.491	158.246	66.84	-36.041	20.253	1	469
   5	94.678	-47.588	356.012	.5	.997	-.07	3	286.71	46.417	204.664	76.621	-56.998	20.361	1	487
   6	59.904	-74.182	217.407	.5	-.795	-.608	1	91.033	43.777	248.441	79.986	-78.558	20.553	1	462
   7	97.927	-101.144	324.659	.5	.815	-.579	3	254.341	46.612	295.053	77.031	-101.592	20.901	1	492
   8	55.482	-104.13	184.024	.5	-.998	-.071	1	59.104	42.549	337.603	68.648	-121.078	21.461	1	448
   9	74.806	-147.155	294.185	.5	.409	-.913	3	222.214	47.165	384.768	53.753	-139.251	22.487	1	497
   10	39.557	-127.005	150.244	.5	-.869	.496	1	27.675	40.601	425.369	37.157	-150.848	23.963	1	430
   11	35.433	-175.18	265.106	.5	-.086	-.997	3	190.361	48.35	473.72	14.388	-158.696	26.732	1	510
   12	32.342	-168.731	115.615	.5	-.433	.901	4	277.8	7.151	480.871	10.857	-159.26	23.479	1	96
   13	37.164	-141.424	79.985	.5	.173	.984	1	357.87	27.73	508.601	-2.973	-159.945	44.204	1	301
   14	47.182	-240.82	275.755	.5	.1	-.995	3	142.096	99.999	608.601	-49.147	-143.124	137.2	1	1000

2. Centrifuge - Parallel clock - Angle 60 degrees - No Reflection - Figure 2

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	60	.5	.5	.866	3	359.999	0	0	0	0	0	1	0
   1	11.205	19.409	60	.5	.5	.866	3	351.974	22.411	22.411	11.169	-.784	20.192	1	249
   2	22.017	-24.121	283.948	.5	.241	-.971	1	155.912	44.852	67.263	32.649	-6.966	20.182	1	472
   3	63.114	-2.382	27.877	.5	.883	.467	3	319.264	46.491	113.755	52.205	-19.382	20.198	1	490
   4	48.373	-44.361	250.651	.5	-.332	-.944	1	123.332	44.491	158.246	66.84	-36.041	20.253	1	469
   5	94.678	-47.588	356.012	.5	.997	-.07	3	286.71	46.417	204.664	76.621	-56.998	20.361	1	487
   6	59.904	-74.182	217.407	.5	-.795	-.608	1	91.033	43.777	248.441	79.986	-78.558	20.553	1	462
   7	97.927	-101.144	324.659	.5	.815	-.579	3	254.341	46.612	295.053	77.031	-101.592	20.901	1	492
   8	55.482	-104.13	184.024	.5	-.998	-.071	1	59.104	42.549	337.603	68.648	-121.078	21.461	1	448
   9	74.806	-147.155	294.185	.5	.409	-.913	3	222.214	47.165	384.768	53.753	-139.251	22.487	1	497
   10	39.557	-127.005	150.244	.5	-.869	.496	1	27.675	40.601	425.369	37.157	-150.848	23.963	1	430
   11	35.433	-175.18	265.106	.5	-.086	-.997	3	190.361	48.35	473.72	14.388	-158.696	26.732	1	510
   12	19.115	-141.145	115.615	.5	-.433	.901	1	356.845	37.744	511.464	-4.403	-159.879	30.068	1	402
   13	-7.796	-184.338	238.074	.5	-.529	-.849	3	158.621	50.89	562.355	-29.163	-154.496	36.702	1	535
   14	-1.423	-151.029	79.167	.5	.187	.982	1	326.477	33.912	596.268	-44.182	-146.694	42.978	1	363

3. Centrifuge - Parallel clock - Angle 59.26 degrees - Figure 3

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	59.259	.5	.511	.859	3	359.999	0	0	0	0	0	1	0
   1	11.517	19.367	59.259	.5	.511	.859	3	351.93	22.533	22.533	11.229	-.793	20.161	1	245
   2	22.953	-24.531	284.601	.5	.252	-.968	1	155.686	45.363	67.896	32.938	-7.096	20.091	1	479
   3	64.501	-3.57	26.77	.5	.892	.45	3	319.021	46.536	114.432	52.461	-19.604	20.05	1	487
   4	49.894	-46.658	251.272	.5	-.322	-.948	1	122.729	45.496	159.929	67.298	-36.746	20.028	1	482
   5	95.806	-51.333	354.186	.5	.994	-.102	3	286.203	46.148	206.078	76.822	-57.676	20.015	1	484
   6	60.001	-79.53	218.221	.5	-.786	-.619	1	89.883	45.574	251.653	79.999	-80.163	20.008	1	483
   7	95.972	-108.097	321.545	.5	.783	-.622	3	253.434	45.934	297.587	76.679	-102.81	20.004	1	482
   8	50.546	-112.329	185.322	.5	-.996	-.093	1	57.096	45.622	343.21	67.167	-123.458	20.002	1	478
   9	65.364	-155.681	288.87	.5	.323	-.947	3	220.69	45.814	389.025	52.157	-140.66	20.001	1	482
   10	24.863	-134.607	152.51	.5	-.888	.461	1	24.341	45.655	434.681	32.973	-152.889	20	1	481
   11	13.93	-179.025	256.172	.5	-.24	-.972	3	187.96	45.744	480.425	11.078	-159.23	20	1	480
   12	-8.739	-139.361	119.748	.5	-.497	.868	1	351.6	45.685	526.111	-11.687	-159.142	20	1	483
   13	-41.916	-170.792	223.452	.5	-.726	-.688	3	155.234	45.701	571.812	-33.513	-152.643	19.999	1	482
   14	-39.537	-125.133	87.016	.5	.052	.998	1	318.861	45.721	617.534	-52.631	-140.251	20	1	479
   15	-84.412	-133.617	190.706	.5	-.983	-.186	3	122.507	45.67	663.204	-67.466	-122.993	20	1	480
   16	-57.705	-96.44	54.308	.5	.583	.812	1	286.115	45.775	708.98	-76.857	-102.206	20.001	1	482
   17	-99.998	-79.285	157.922	.5	-.927	.375	3	89.771	45.64	754.62	-80	-79.681	20.002	1	479
   18	-57.358	-62.385	21.62	.5	.929	.368	1	253.346	45.867	800.487	-76.645	-57.074	20.004	1	483
   19	-83.561	-25.064	125.072	.5	-.575	.818	3	57.016	45.601	846.088	-67.107	-36.449	20.008	1	482
   20	-38.383	-33.877	348.961	.5	.981	-.192	1	220.533	46.028	892.117	-51.992	-19.199	20.016	1	484
   21	-40.057	11.633	92.106	.5	-.037	.999	3	24.226	45.54	937.657	-32.827	-7.046	20.028	1	478
   22	-6.545	-20.341	316.345	.5	.723	-.691	1	187.639	46.317	983.975	-10.636	-.711	20.052	1	487
   23	16.902	18.579	58.933	.5	.516	.856	3	351.368	45.437	1029.413	12.006	-.907	20.091	1	478
   24	28.079	-26.913	283.803	.5	.238	-.972	1	154.593	46.845	1076.258	34.323	-7.738	20.166	1	490
   25	68.971	-7.511	25.382	.5	.903	.428	3	318.385	45.261	1121.52	53.129	-20.19	20.29	1	477
   26	53.704	-52.844	251.387	.5	-.32	-.948	1	121.255	47.834	1169.354	68.388	-38.492	20.533	1	502
   27	98.126	-59.781	351.123	.5	.988	-.155	3	285.155	44.96	1214.315	77.217	-59.086	20.92	1	476
   28	59.54	-91.236	219.186	.5	-.776	-.632	1	87.328	49.782	1264.097	79.913	-83.73	21.711	1	522
   29	91.237	-122.417	315.47	.5	.712	-.702	3	251.406	44.462	1308.56	75.824	-105.509	22.879	1	470
   30	37.62	-129.326	187.342	.5	-.992	-.128	1	52.047	54.06	1362.62	63.081	-129.201	25.461	1	566

4. Centrifuge - Parallel clock - Angle 61.58 degrees - Figure 4

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	298.42	.5	.475	-.88	1	62.297	0	0	0	0	0	1	0
   1	11.384	-21.038	298.42	.5	.475	-.88	1	171.433	23.92	23.92	11.915	-.893	20.152	1	262
   2	43.225	10.194	44.447	.5	.713	.7	3	335.462	44.601	68.522	33.223	-7.225	20.086	1	472
   3	40.404	-35.622	266.476	.5	-.062	-.999	1	139.024	45.902	114.424	52.458	-19.601	20.049	1	483
   4	84.543	-26.583	11.572	.5	.979	.2	3	302.89	45.055	159.48	67.177	-36.558	20.027	1	475
   5	57.758	-63.733	234.207	.5	-.585	-.812	1	106.489	45.799	205.28	76.709	-57.293	20.015	1	484
   6	100.001	-80.143	338.771	.5	.932	-.363	3	270.26	45.318	250.599	79.999	-79.636	20.008	1	477
   7	57.515	-97.093	201.75	.5	-.929	-.371	1	73.88	45.742	296.341	76.854	-102.212	20.005	1	479
   8	84.248	-133.874	306.01	.5	.587	-.809	3	237.597	45.469	341.81	67.544	-122.869	20.002	1	479
   9	39.348	-125.297	169.185	.5	-.983	.187	1	41.228	45.711	387.522	52.725	-140.167	20.001	1	482
   10	41.948	-170.777	273.271	.5	.057	-.999	3	204.915	45.554	433.077	33.702	-152.555	20	1	479
   11	8.769	-139.356	136.559	.5	-.727	.687	1	8.552	45.695	478.773	11.896	-159.111	20	1	480
   12	-13.656	-179.064	240.544	.5	-.492	-.871	3	172.222	45.602	524.375	-10.827	-159.264	20	1	479
   13	-24.632	-134.712	103.899	.5	-.241	.97	1	335.86	45.69	570.065	-32.717	-153.005	20	1	481
   14	-64.985	-156.007	207.821	.5	-.885	-.467	3	139.521	45.627	615.692	-51.934	-140.852	20	1	478
   15	-50.276	-112.747	71.221	.5	.321	.946	1	303.158	45.692	661.385	-66.973	-123.758	20	1	481
   16	-95.75	-108.846	175.096	.5	-.997	.085	3	106.815	45.64	707.025	-76.58	-103.143	20	1	479
   17	-59.999	-80.375	38.533	.5	.782	.622	1	270.449	45.702	752.727	-79.998	-80.628	20	1	483
   18	-96.146	-52.503	142.364	.5	-.792	.61	3	74.104	45.644	798.372	-76.941	-58.089	20	1	480
   19	-50.658	-47.848	5.843	.5	.994	.101	1	237.73	45.724	844.096	-67.644	-37.288	20	1	482
   20	-65.981	-4.857	109.616	.5	-.336	.941	3	41.386	45.64	889.737	-52.891	-19.979	20	1	478
   21	-25.146	-25.523	333.155	.5	.892	-.452	1	204.997	45.766	935.504	-33.807	-7.494	20.001	1	481
   22	-14.757	18.905	76.838	.5	.227	.973	3	8.658	45.627	981.131	-12.044	-.912	20.002	1	477
   23	8.495	-20.604	300.477	.5	.507	-.862	1	172.241	45.843	1026.974	10.799	-.733	20.003	1	482
   24	41.294	11.077	44.005	.5	.719	.694	3	335.912	45.6	1072.575	32.65	-6.967	20.006	1	481
   25	39.544	-34.871	267.818	.5	-.039	-1	1	139.446	45.98	1118.555	52.012	-19.216	20.012	1	483
   26	84.248	-26.121	11.074	.5	.981	.192	3	303.134	45.552	1164.107	66.991	-36.272	20.021	1	479
   27	57.862	-64.078	235.194	.5	-.571	-.822	1	106.58	46.227	1210.335	76.673	-57.171	20.039	1	485
   28	100.007	-81.134	337.966	.5	.926	-.376	3	270.299	45.465	1255.801	79.998	-79.582	20.068	1	479
   29	56.923	-99.097	202.632	.5	-.923	-.385	1	73.584	46.678	1302.479	76.738	-102.609	20.124	1	491
   30	82.613	-136.425	304.535	.5	.566	-.824	3	237.357	45.314	1347.793	67.363	-123.153	20.216	1	476

5. Centrifuge - Parallel clock - 4 cycles - v = 0.5 - Bottom first Figure 5

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	270	.5	-.001	-1	1	179.999	0	0	0	0	0	1	0
   1	11.82	-21.109	299.248	.5	.488	-.873	1	171.336	24.193	24.193	12.05	-.913	20.197	58	266
   2	44.345	9.674	43.424	.5	.726	.687	3	335.3	44.781	68.974	33.429	-7.32	20.197	58	470
   3	43.242	-12.694	267.176	.5	-.05	-.999	5	147.28	22.394	91.369	43.242	-12.694	0	58	248
   4	41.777	-36.843	266.529	.5	-.061	-.999	1	138.617	24.193	115.563	52.887	-19.976	20.197	32	265
   5	85.78	-28.525	10.704	.5	.982	.185	3	302.58	44.781	160.344	67.41	-36.922	20.197	32	470
   6	72.761	-46.747	234.456	.5	-.582	-.814	5	114.561	22.395	182.739	72.761	-46.747	0	32	247
   7	58.476	-66.273	233.81	.5	-.591	-.808	1	105.897	24.193	206.933	76.94	-58.087	20.197	32	266
   8	99.992	-83.059	337.984	.5	.927	-.375	3	269.861	44.781	251.714	79.999	-80.194	20.197	32	473
   9	79.19	-91.353	201.737	.5	-.929	-.371	5	81.841	22.395	274.109	79.19	-91.353	0	32	247
   10	56.617	-100.059	201.09	.5	-.934	-.36	1	73.178	24.193	298.303	76.576	-103.152	20.197	32	265
   11	82.473	-136.623	305.265	.5	.577	-.817	3	237.141	44.781	343.084	67.201	-123.405	20.197	32	471
   12	60.488	-132.357	169.018	.5	-.982	.19	5	49.122	22.395	365.48	60.488	-132.356	0	32	248

6. Centrifuge - Parallel clock - 4 cycles - v = 0.5 - Ceiling first Figure 6

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	90	.5	0	1	3	359.999	0	0	0	0	0	1	0
   1	11.162	19.414	60.104	.5	.498	.866	3	351.98	22.395	22.395	11.16	-.783	20.197	60	247
   2	21.886	-24.064	283.856	.5	.239	-.971	1	155.944	44.781	67.176	32.61	-6.949	20.197	60	471
   3	43.242	-12.694	28.031	.5	.882	.469	5	147.28	24.193	91.369	43.242	-12.694	0	60	266
   4	63.127	-2.393	27.384	.5	.887	.459	3	319.26	22.395	113.764	52.209	-19.385	20.197	32	250
   5	48.649	-44.77	251.137	.5	-.324	-.947	1	123.224	44.781	158.546	66.922	-36.167	20.197	32	471
   6	72.761	-46.747	355.312	.5	.996	-.082	5	114.561	24.193	182.739	72.761	-46.747	0	32	266
   7	95.059	-48.83	354.665	.5	.995	-.093	3	286.541	22.395	205.134	76.689	-57.224	20.197	32	248
   8	59.972	-76.657	218.417	.5	-.784	-.622	1	90.505	44.781	249.916	79.996	-79.295	20.197	32	472
   9	79.19	-91.353	322.592	.5	.794	-.608	5	81.841	24.193	274.109	79.19	-91.353	0	32	268
   10	96.824	-105.158	321.945	.5	.787	-.617	3	253.822	22.395	296.504	76.832	-102.29	20.197	32	247
   11	52.264	-109.604	185.698	.5	-.996	-.1	1	57.785	44.781	341.286	67.684	-122.647	20.197	32	471
   12	60.488	-132.356	289.873	.5	.339	-.941	5	49.122	24.193	365.479	60.488	-132.356	0	32	266

7. Centrifuge - Parallel clock - 4 cycles - v = 0.5 - Right first Figure 7

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	0	.5	1	0	2	269.999	0	0	0	0	0	1	0
   1	39.311	-6.601	-9.531	.5	.986	-.166	2	255.725	39.862	39.862	19.725	-2.47	20.017	40	423
   2	14.263	2.033	160.981	.5	-.946	.325	4	66.237	26.494	66.356	32.235	-6.782	20.017	40	290
   3	49.293	-16.991	331.494	.5	.878	-.478	6	231.963	39.861	106.218	49.293	-16.991	0	40	422
   4	76.189	-46.412	312.432	.5	.674	-.739	2	217.688	39.862	146.08	63.307	-31.091	20.017	48	422
   5	61.78	-24.178	122.944	.5	-.544	.839	4	28.201	26.494	172.574	70.503	-42.195	20.017	48	290
   6	77.648	-60.746	293.457	.5	.398	-.918	6	193.926	39.862	212.436	77.648	-60.746	0	48	423
   7	80.703	-100.491	274.395	.5	.076	-.998	2	179.652	39.862	252.298	79.998	-80.486	20.017	48	422
   8	83.054	-74.101	84.908	.5	.088	.996	4	350.164	26.494	278.792	78.824	-93.666	20.017	48	290
   9	73.021	-112.679	255.42	.5	-.252	-.968	6	155.89	39.861	318.654	73.021	-112.679	0	48	423
   10	50.938	-145.866	236.359	.5	-.554	-.833	2	141.615	39.862	358.516	62.709	-129.675	20.017	48	424
   11	69.05	-126.53	46.871	.5	.683	.729	4	312.128	26.494	385.011	53.663	-139.332	20.017	48	290
   12	37.377	-150.732	217.384	.5	-.795	-.608	6	117.853	39.862	424.873	37.377	-150.732	0	48	422

8. Centrifuge - Parallel clock - 4 cycles - v = 0.5 - Left side first Figure 8

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	0	180	.5	-1	0	4	89.999	0	0	0	0	0	1	0
   1	-13.435	-1.985	188.401	.5	-.99	-.147	4	85.136	13.58	13.58	6.781	-.288	20.287	37	161
   2	56.97	-25.034	341.872	.5	.95	-.312	2	238.608	74.081	87.662	41.67	-11.71	20.287	37	764
   3	47.31	-15.489	135.344	.5	-.712	.702	6	233.745	13.58	101.242	47.31	-15.489	0	37	161
   4	35.303	-9.144	152.146	.5	-.885	.467	4	48.882	13.58	114.822	52.608	-19.732	20.287	47	159
   5	78.446	-69.366	305.617	.5	.582	-.813	2	202.353	74.081	188.904	73.988	-49.575	20.287	47	766
   6	76.301	-55.957	99.089	.5	-.158	.987	6	197.49	13.58	202.484	76.301	-55.957	0	47	159
   7	70.371	-43.74	115.891	.5	-.437	.899	4	12.627	13.58	216.065	78.064	-62.512	20.287	47	159
   8	69.547	-117.817	269.362	.5	-.012	-1	2	166.098	74.081	290.146	77.656	-99.22	20.287	47	765
   9	75.747	-105.735	62.834	.5	.456	.889	6	161.235	13.58	303.727	75.747	-105.735	0	47	160
   10	78.19	-92.376	79.636	.5	.179	.983	4	336.372	13.58	317.307	73.293	-112.063	20.287	47	160
   11	33.719	-151.624	233.108	.5	-.601	-.8	2	129.844	74.081	391.389	51.255	-141.424	20.287	47	766
   12	45.864	-145.548	26.579	.5	.894	.447	6	124.98	13.58	404.969	45.864	-145.548	0	47	159

9. Centrifuge acceleration - Parallel clock - 4 cycles - 0.1 mirror 3 Figure 9

   #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
   0	0	-71.977	90	.1	0	1	3	0	0	0	0	-71.977	0	1	0
   1	13.53	19.101	81.549	.1	.146	.989	3	353.405	92.077	92.077	9.187	-.53	20.105	37	944
   2	10.216	-20.876	265.26	.1	-.083	-.997	1	170.532	40.114	132.191	13.159	-1.09	20.003	37	425
   3	15.131	-1.445	75.803	.1	.245	.969	5	169.096	20.043	152.235	15.131	-1.445	0	37	225
   4	24.993	16.838	61.657	.299	.474	.88	3	344.633	20.773	173.008	21.199	-2.86	20.06	43	231
   5	23.261	-24.671	267.61	.299	-.042	-1	1	155.707	41.545	214.553	32.911	-7.084	20.06	43	438
   6	38.62	-9.94	43.804	.299	.721	.692	5	151.134	21.281	235.835	38.62	-9.94	0	43	237
   7	57.768	1.674	31.238	.5	.855	.518	3	323.115	22.395	258.23	48.016	-16.013	20.197	43	248
   8	46.171	-41.58	254.991	.5	-.259	-.966	1	127.078	44.781	303.012	63.824	-31.768	20.197	43	471
   9	70.361	-41.932	359.166	.5	.999	-.015	5	118.415	24.193	327.205	70.361	-41.932	0	43	266
   10	95.129	-48.838	344.42	.699	.963	-.269	3	285.524	25.713	352.918	77.081	-58.589	20.514	45	280
   11	59.854	-86.178	226.628	.699	-.687	-.727	1	79.771	51.367	404.285	78.728	-94.206	20.51	45	538
   12	71.991	-114.889	292.915	.699	.389	-.922	5	64.144	31.171	435.457	71.991	-114.889	0	45	336

10. Centrifuge acceleration - Parallel clock - 4 cycles - 0.1 mirror 1 Figure 10

    #	x0	y0	phiflash	vcl	vxflash	vyflash	mirror	phi mirror	tc	tc total	xcl0	ycl0	r	count1	count2
    0	0	0	270	.1	-.001	-1	1	179.999	0	0	0	0	0	1	0
    1	2.011	-20.032	275.735	.1	.099	-.995	1	178.558	20.132	20.132	2.013	-.026	20.006	36	224
    2	8.03	19.678	81.381	.1	.149	.988	3	355.681	40.163	60.295	6.023	-.228	20.006	36	427
    3	8.024	-.404	269.982	.1	-.001	-1	5	174.243	20.081	80.377	8.024	-.404	0	36	228
    4	12.293	-21.253	281.573	.299	.2	-.98	1	169.67	21.281	101.659	14.344	-1.297	20.06	42	239
    5	34.452	13.89	57.768	.299	.533	.845	3	340.744	41.545	143.204	26.382	-4.476	20.06	42	438
    6	32.179	-6.758	263.72	.299	-.11	-.995	5	156.281	20.773	163.977	32.179	-6.758	0	42	232
    7	34.511	-30.839	275.529	.5	.096	-.996	1	147.617	24.193	188.17	42.845	-12.441	20.197	42	266
    8	76.67	-15.739	19.705	.5	.941	.337	3	311.581	44.781	232.952	59.841	-26.906	20.197	42	470
    9	66.663	-35.774	243.457	.5	-.447	-.895	5	123.561	22.394	255.347	66.663	-35.774	0	42	248
    10	58.485	-65.853	254.79	.699	-.263	-.965	1	107.934	31.171	286.518	76.112	-55.366	20.51	40	336
    11	98.449	-98.126	321.078	.699	.778	-.629	3	262.181	51.367	337.886	79.256	-90.883	20.514	40	538
    12	74.831	-108.29	203.285	.699	-.919	-.396	5	69.29	25.712	363.599	74.831	-108.29	0	40	281

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