## Clock and Centrifuge

### Appendix 1

• Appendix 1 - Technical Data

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

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

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.

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.

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

### 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

### Feedback

If you want to give a comment you can use the following form Comment form
Created: 25 August 2018

Go Back to Clock and Centrifuge - part 1
Go Back to Book and Article Review