An easy way to step in astrophotography. A barndoor tracker based on an Arduino and a stepper motor from an old laser printer.
Original calculation :
La | 347 | La²+Lb²= | 240818 | 23 | hours | 82800 | 0,0041780742 | deg/sec | ||||||
Lb | 347 | 2LaLb= | 240818 | 56 | min | 3360 | 0,2506844498 | deg/min | ||||||
pas vis | 1 | mm/rev | 4 | sec | 4 | 15,0410669873 | deg/h | |||||||
res/stepper | 400 | step/rev | 86164 | |||||||||||
Lscrew orig | 40 | mm | 86164,1 | exactly according to internet | quartz | 16000000 | Hz | |||||||
correction factor | 1 | 86164,1 | prescaler | 64 | ||||||||||
alpha (rad) | alpha (deg) | alpha delta | Lscrew | nb of steps | nb of 1/2steps total | polim2 approx | polim3 approx | error aprox | time elapsed (microsec) | time for 1 step | total time (min) | timer1 328 | round | |
0,1153376943 | 6,6083631004 | 0 | 40 | 0 | 0 | 9812993 | 9811017,80517031 | -1975,1948296893 | 0 | 98968,6928186305 | 0 | 24741,1732046576 | 24741 | , |
0,1182244586 | 6,7737625158 | 0,1653994154 | 41 | 400 | 400 | 9814409,48522756 | 9812711,62446374 | -1697,860763818 | 39587477,1274522 | 98977,1475584853 | 0,6597912855 | 24743,2868896213 | 24743 | , |
0,1211114696 | 6,939176061 | 0,1654135452 | 42 | 400 | 800 | 9815918,72984039 | 9814481,33321669 | -1437,3966237046 | 39590859,0233941 | 98985,810758708 | 1,3196389358 | 24745,452689677 | 24745 | , |
0,1239987333 | 7,1046040844 | 0,1654280234 | 43 | 400 | 1200 | 9817520,73383851 | 9816327,34998916 | -1193,3838493507 | 39594324,3034832 | 98994,6825826782 | 1,9795443409 | 24747,6706456695 | 24748 | , |
0,1268862558 | 7,2700469346 | 0,1654428502 | 44 | 400 | 1600 | 9819215,4972219 | 9818250,09334115 | -965,4038807582 | 39597873,0330713 | 99003,7631979201 | 2,6395088915 | 24749,94079948 | 24750 | , |
0,1297740431 | 7,4355049606 | 0,165458026 | 45 | 400 | 2000 | 9821003,01999058 | 9820249,98183266 | -753,038157925 | 39601505,279168 | 99013,0527759483 | 3,2995339794 | 24752,2631939871 | 24752 | , |
0,1326621014 | 7,6009785117 | 0,165473551 | 46 | 400 | 2400 | 9822883,30214454 | 9822327,43402368 | -555,8681208529 | 39605221,1103793 | 99022,551492312 | 3,9596209979 | 24754,637873078 | 24755 | , |
0,1355504368 | 7,7664679373 | 0,1654894256 | 47 | 400 | 2800 | 9824856,34368377 | 9824482,86847423 | -373,4752095398 | 39609020,5969248 | 99032,2595265723 | 4,6197713412 | 24757,0648816431 | 24757 | , |
0,1384390553 | 7,9319735872 | 0,1655056499 | 48 | 400 | 3200 | 9826922,14460829 | 9826716,7037443 | -205,4408639856 | 39612903,8106289 | 99042,1770624607 | 5,2799864047 | 24759,5442656152 | 24760 | , |
0,1413279631 | 8,0974958116 | 0,1655222244 | 49 | 400 | 3600 | 9829080,70491808 | 9829029,35839389 | -51,3465241939 | 39616870,8249843 | 99052,3042876001 | 5,9402675852 | 24762,0760719 | 24762 | , |
0,1442171663 | 8,2630349609 | 0,1655391493 | 50 | 400 | 4000 | 9831332,02461316 | 9831421,250983 | 89,2263698373 | 39620921,71504 | 99062,6413937903 | 6,6006162804 | 24764,6603484476 | 24765 | , |
0,147106671 | 8,428591386 | 0,165556425 | 51 | 400 | 4400 | 9833676,10369352 | 9833892,80007163 | 216,69637811 | 39625056,5575161 | 99073,1885768953 | 7,2610338897 | 24767,2971442238 | 24767 | , |
0,1499964833 | 8,5941654377 | 0,1655740518 | 52 | 400 | 4800 | 9836112,94215915 | 9836444,42421978 | 331,4820606243 | 39629275,4307581 | 99083,946036873 | 7,9215218135 | 24769,9865092183 | 24770 | , |
0,1528866095 | 8,7597574677 | 0,16559203 | 53 | 400 | 5200 | 9838642,54001007 | 9839076,54198745 | 434,0019773766 | 39633578,4147492 | 99094,913977769 | 8,5820814538 | 24772,7284944423 | 24773 | , |
0,1557770555 | 8,9253678276 | 0,1656103599 | 54 | 400 | 5600 | 9841264,89724626 | 9841789,57193463 | 524,674688369 | 39637965,5911076 | 99106,0926077616 | 9,2427142136 | 24775,5231519404 | 24776 | , |
0,1586678277 | 9,0909968696 | 0,165629042 | 55 | 400 | 6000 | 9843980,01386774 | 9844583,93262134 | 603,9187536035 | 39642437,0431046 | 99117,4821391181 | 9,9034214977 | 24778,3705347795 | 24778 | , |
0,161558932 | 9,2566449461 | 0,1656480765 | 56 | 400 | 6400 | 9846787,8898745 | 9847460,04260757 | 672,1527330764 | 39646992,8556472 | 99129,0827883413 | 10,564204712 | 24781,2706970853 | 24781 | , |
0,1644503747 | 9,4223124099 | 0,1656674638 | 57 | 400 | 6800 | 9849688,52526653 | 9850418,32045332 | 729,7951867878 | 39651633,1153365 | 99140,8947759383 | 11,2250652639 | 24784,2236939846 | 24784 | , |
0,167342162 | 9,5879996143 | 0,1656872044 | 58 | 400 | 7200 | 9852681,92004385 | 9853459,18471859 | 777,2646747399 | 39656357,9103753 | 99152,9183266738 | 11,8860045624 | 24787,2295816684 | 24787 | , |
0,1702342999 | 9,7537069128 | 0,1657072985 | 59 | 400 | 7600 | 9855768,07420644 | 9856583,05396338 | 814,9797569346 | 39661167,3306695 | 99165,153669457 | 12,5470240179 | 24790,2884173642 | 24790 | , |
0,1731267947 | 9,9194346594 | 0,1657277466 | 60 | 400 | 8000 | 9858946,98775432 | 9859790,34674769 | 843,3589933664 | 39666061,4677828 | 99177,6010373774 | 13,2081250424 | 24793,4002593444 | 24793 | , |
0,1760196527 | 10,0851832084 | 0,165748549 | 61 | 400 | 8400 | 9862218,66068748 | 9863081,48163152 | 862,8209440392 | 39671040,414951 | 99190,2606677338 | 13,8693090493 | 24796,5651669335 | 24797 | , |
0,1789128798 | 10,2509529145 | 0,1657697061 | 62 | 400 | 8800 | 9865583,09300591 | 9866456,87717486 | 873,7841689512 | 39676104,2670935 | 99203,1328020169 | 14,5305774537 | 24799,7832005042 | 24800 | , |
0,1818064825 | 10,416744133 | 0,1657912184 | 63 | 400 | 9200 | 9869040,28470963 | 9869916,95193773 | 876,6672281045 | 39681253,1208068 | 99216,217685952 | 15,1919316724 | 24803,054421488 | 24803 | , |
0,1847004668 | 10,5825572192 | 0,1658130863 | 64 | 400 | 9600 | 9872590,23579862 | 9873462,12448012 | 871,8886814993 | 39686487,0743808 | 99229,5155694927 | 15,8533731236 | 24806,3788923732 | 24806 | , |
0,1875948389 | 10,7483925293 | 0,1658353101 | 65 | 400 | 10000 | 9876232,9462729 | 9877092,81336203 | 859,86708913 | 39691806,2277971 | 99243,0267068495 | 16,5149032274 | 24809,7566767124 | 24810 | , |
0,1904896052 | 10,9142504196 | 0,1658578903 | 66 | 400 | 10400 | 9879968,41613246 | 9880809,43714346 | 841,0210110042 | 39697210,6827398 | 99256,7513564782 | 17,1765234055 | 24813,1878391195 | 24813 | , |
0,1933847718 | 11,080131247 | 0,1658808273 | 67 | 400 | 10800 | 9883796,64537729 | 9884612,41438441 | 815,7690071166 | 39702700,5425913 | 99270,6897811308 | 17,8382350812 | 24816,6724452827 | 24817 | , |
0,196280345 | 11,2460353686 | 0,1659041217 | 68 | 400 | 11200 | 9887717,63400741 | 9888502,16364488 | 784,529637469 | 39708275,9124523 | 99284,8422478343 | 18,5000396797 | 24820,2105619586 | 24820 | , |
0,1991763309 | 11,4119631423 | 0,1659277737 | 69 | 400 | 11600 | 9891731,3820228 | 9892479,10348487 | 747,7214620616 | 39713936,8991337 | 99299,209027928 | 19,1619386281 | 24823,802256982 | 24824 | , |
0,202072736 | 11,5779149261 | 0,1659517839 | 70 | 400 | 12000 | 9895837,88942348 | 9896543,65246438 | 705,7630408946 | 39719683,6111712 | 99313,7903970674 | 19,8239333549 | 24827,4475992669 | 24827 | , |
0,2049695663 | 11,7438910788 | 0,1659761527 | 71 | 400 | 12400 | 9900037,15620944 | 9900696,2291434 | 659,0729339682 | 39725516,158827 | 99328,5866352429 | 20,4860252909 | 24831,1466588107 | 24831 | , |
0,2078668282 | 11,9098919594 | 0,1660008806 | 72 | 400 | 12800 | 9904329,18238067 | 9904937,25208195 | 608,0697012804 | 39731434,6540972 | 99343,5980267918 | 21,1482158685 | 24834,899506698 | 24835 | , |
0,210764528 | 12,0759179275 | 0,1660259681 | 73 | 400 | 13200 | 9908713,96793719 | 9909267,13984002 | 553,1719028335 | 39737439,2107167 | 99358,8248604224 | 21,810506522 | 24838,7062151056 | 24839 | , |
0,213662672 | 12,2419693431 | 0,1660514156 | 74 | 400 | 13600 | 9913191,51287899 | 9913686,31097761 | 494,7980986256 | 39743529,9441689 | 99374,2674292144 | 22,4728986877 | 24842,5668573036 | 24843 | , |
0,2165612663 | 12,4080465668 | 0,1660772237 | 75 | 400 | 14000 | 9917761,81720606 | 9918195,18405472 | 433,3668486588 | 39749706,9716857 | 99389,9260306492 | 23,1353938039 | 24846,4815076623 | 24846 | , |
0,2194603174 | 12,5741499596 | 0,1661033928 | 76 | 400 | 14400 | 9922424,88091842 | 9922794,17763135 | 369,2967129331 | 39755970,4122597 | 99405,8009666203 | 23,7979933108 | 24850,4502416551 | 24850 | , |
0,2223598316 | 12,7402798831 | 0,1661299235 | 77 | 400 | 14800 | 9927180,70401605 | 9927483,7102675 | 303,0062514432 | 39762320,3866481 | 99421,8925434438 | 24,4606986506 | 24854,4731358609 | 24854 | , |
0,2252598151 | 12,9064366993 | 0,1661568162 | 78 | 400 | 15200 | 9932029,28649897 | 9932264,20052316 | 234,9140241966 | 39768757,0173775 | 99438,2010718949 | 25,1235112675 | 24858,5502679737 | 24859 | , |
0,2281602743 | 13,0726207708 | 0,1661840715 | 79 | 400 | 15600 | 9936970,62836716 | 9937136,06695835 | 165,4385911897 | 39775280,4287579 | 99454,7268671926 | 25,786432608 | 24862,6817167982 | 24863 | , |
0,2310612156 | 13,2388324607 | 0,1662116899 | 80 | 400 | 16000 | 9942004,72962064 | 9942099,72813306 | 94,9985124227 | 39781890,746877 | 99471,4702490692 | 26,4494641204 | 24866,8675622673 | 24867 | , |
0,2339626452 | 13,4050721326 | 0,1662396719 | 81 | 400 | 16400 | 9947131,5902594 | 9947155,60260729 | 24,0123478957 | 39788588,0996277 | 99488,431541672 | 27,1126072554 | 24871,107885418 | 24871 | , |
0,2368645695 | 13,5713401507 | 0,1662680181 | 82 | 400 | 16800 | 9952351,21028343 | 9952304,10894104 | -47,1013423912 | 39795372,6166688 | 99505,6110737776 | 27,7758634657 | 24875,4027684444 | 24875 | , |
0,239766995 | 13,7376368798 | 0,1662967291 | 83 | 400 | 17200 | 9957663,58969275 | 9957545,66569431 | -117,9239984378 | 39802244,429511 | 99523,0091786191 | 28,4392342062 | 24879,7522946548 | 24880 | , |
0,2426699279 | 13,9039626851 | 0,1663258053 | 84 | 400 | 17600 | 9963068,72848735 | 9962880,6914271 | -188,0370602459 | 39809203,6714476 | 99540,626193997 | 29,1027209341 | 24884,1565484993 | 24884 | , |
0,2455733747 | 14,0703179325 | 0,1663552474 | 85 | 400 | 18000 | 9968566,62666722 | 9968309,60469941 | -257,0219678134 | 39816250,4775988 | 99558,4624622887 | 29,7663251087 | 24888,6156155722 | 24889 | , |
0,2484773418 | 14,2367029884 | 0,1663850559 | 86 | 400 | 18400 | 9974157,28423238 | 9973832,82407124 | -324,4601611402 | 39823384,9849155 | 99576,5183304504 | 30,4300481918 | 24893,1295826126 | 24893 | , |
0,2513818355 | 14,4031182198 | 0,1664152314 | 87 | 400 | 18800 | 9979840,70118281 | 9979450,76810258 | -389,933080228 | 39830607,3321802 | 99594,7941500569 | 31,0938916473 | 24897,6985375142 | 24898 | , |
0,2542868623 | 14,5695639943 | 0,1664457745 | 88 | 400 | 19200 | 9985616,87751853 | 9985163,85535345 | -453,0221650749 | 39837917,6600228 | 99613,2902773139 | 31,7578569416 | 24902,3225693285 | 24902 | , |
0,2571924286 | 14,7360406801 | 0,1664766858 | 89 | 400 | 19600 | 9991485,81323952 | 9990972,50438384 | -513,3088556826 | 39845316,1109255 | 99632,0070730167 | 32,4219455435 | 24907,0017682542 | 24907 | , |
0,2600985408 | 14,9025486459 | 0,1665079658 | 90 | 400 | 20000 | 9997447,5083458 | 9996877,13375375 | -570,374592049 | 39852802,8292067 | 99650,9449027288 | 33,086158924 | 24911,7362256822 | 24912 | , |
0,2630052054 | 15,0690882612 | 0,1665396153 | 91 | 400 | 20400 | 10003501,9628374 | 10002878,1620232 | -623,800814176 | 39860377,9610915 | 99670,1041366195 | 33,7504985567 | 24916,5260341549 | 24917 | , |
0,2659124289 | 15,235659896 | 0,1665716348 | 92 | 400 | 20800 | 10009649,1767142 | 10008976,0077521 | -673,1689620633 | 39868041,6546478 | 99689,4851495983 | 34,4149659176 | 24921,3712873996 | 24921 | , |
0,2688202177 | 15,4022639209 | 0,1666040249 | 93 | 400 | 21200 | 10015889,1499763 | 10015171,0895006 | -718,0604757108 | 39875794,0598393 | 99709,088321292 | 35,0795624852 | 24926,272080323 | 24926 | , |
0,2717285783 | 15,5689007072 | 0,1666367863 | 94 | 400 | 21600 | 10022221,8826237 | 10021463,8258286 | -758,0567951184 | 39883635,3285168 | 99728,9140360989 | 35,7442897407 | 24931,2285090247 | 24931 | , |
0,2746375171 | 15,7355706268 | 0,1666699196 | 95 | 400 | 22000 | 10028647,3746564 | 10027854,6352961 | -792,7393602841 | 39891565,6144396 | 99748,9626831237 | 36,4091491676 | 24936,2406707809 | 24936 | , |
0,2775470408 | 15,9022740523 | 0,1667034255 | 96 | 400 | 22400 | 10035165,6260743 | 10034343,9364631 | -821,6896112133 | 39899585,0732495 | 99769,2346563562 | 37,0741422522 | 24941,308664089 | 24941 | , |
0,2804571557 | 16,0690113569 | 0,1667373046 | 97 | 400 | 22800 | 10041776,6368776 | 10040932,1478897 | -844,4889879003 | 39907693,8625425 | 99789,7303545385 | 37,7392704832 | 24946,4325886346 | 24946 | , |
0,2833678685 | 16,2357829146 | 0,1667715577 | 98 | 400 | 23200 | 10048480,4070661 | 10047619,6881357 | -860,7189303469 | 39915892,1418154 | 99810,4501812628 | 38,4045353522 | 24951,6125453157 | 24952 | , |
0,2862791856 | 16,4025890998 | 0,1668061852 | 99 | 400 | 23600 | 10055276,9366399 | 10054406,9757613 | -869,9608785547 | 39924180,0725051 | 99831,3945449999 | 39,0699383534 | 24956,84863625 | 24957 | , |
0,2891911137 | 16,5694302879 | 0,1668411881 | 100 | 400 | 24000 | 10062166,225599 | 10061294,4293264 | -871,79627252 | 39932557,8179999 | 99852,5638590452 | 39,7354809837 | 24962,1409647613 | 24962 | , |
0,2921036592 | 16,7363068548 | 0,1668765669 | 101 | 400 | 24400 | 10069148,2739433 | 10068282,4673911 | -865,8065522481 | 39941025,5436181 | 99873,9585416832 | 40,4011647428 | 24967,4896354208 | 24967 | , |
0,2950168288 | 16,9032191771 | 0,1669123223 | 102 | 400 | 24800 | 10076223,081673 | 10075371,5085152 | -851,5731577352 | 39949583,4166733 | 99895,5790160669 | 41,0669911331 | 24972,8947540167 | 24973 | , |
0,297930629 | 17,0701676322 | 0,1669484551 | 103 | 400 | 25200 | 10083390,6487879 | 10082561,9712589 | -828,677528983 | 39958231,6064267 | 99917,4257103402 | 41,7329616599 | 24978,3564275851 | 24978 | , |
0,3008450665 | 17,2371525981 | 0,1669849659 | 104 | 400 | 25600 | 10090650,9752881 | 10089854,2741821 | -796,7011059895 | 39966970,2841361 | 99939,499057558 | 42,3990778313 | 24983,8747643895 | 24984 | , |
0,3037601478 | 17,4041744536 | 0,1670218556 | 105 | 400 | 26000 | 10098004,0611735 | 10097248,8358448 | -755,2253287565 | 39975799,6230232 | 99961,7994958728 | 43,0653411583 | 24989,4498739682 | 24989 | , |
0,3066758796 | 17,5712335784 | 0,1670591247 | 106 | 400 | 26400 | 10105449,9064443 | 10104746,074807 | -703,8316372857 | 39984719,7983491 | 99984,3274683921 | 43,731753155 | 24995,081867098 | 24995 | , |
0,3095922685 | 17,7383303525 | 0,1670967741 | 107 | 400 | 26800 | 10112988,5111003 | 10112346,4096288 | -642,1014715713 | 39993730,9873568 | 100007,083423317 | 44,3983153381 | 25000,7708558293 | 25001 | , |
0,3125093211 | 17,905465157 | 0,1671348046 | 108 | 400 | 27200 | 10120619,8751416 | 10120050,25887 | -569,6162716188 | 40002833,3693269 | 100030,067813868 | 45,0650292276 | 25006,5169534671 | 25007 | , |
0,3154270441 | 18,0726383738 | 0,1671732167 | 109 | 400 | 27600 | 10128343,9985682 | 10127858,0410908 | -485,9574774262 | 40012027,1255473 | 100053,281098446 | 45,7318963463 | 25012,3202746115 | 25012 | , |
0,3183454443 | 18,2398503853 | 0,1672120115 | 110 | 400 | 28000 | 10136160,8813801 | 10135770,1748511 | -390,7065289933 | 40021312,4393784 | 100076,723740547 | 46,3989182203 | 25018,1809351367 | 25018 | , |
0,3212645282 | 18,4071015748 | 0,1672511895 | 111 | 400 | 28400 | 10144070,5235773 | 10143787,078711 | -283,444866322 | 40030689,4962188 | 100100,396208773 | 47,0660963786 | 25024,0990521933 | 25024 | , |
0,3241843027 | 18,5743923264 | 0,1672907516 | 112 | 400 | 28800 | 10152072,9251597 | 10151909,1712303 | -163,7539294064 | 40040158,4835093 | 100124,298977 | 47,7334323533 | 25030,0747442499 | 25030 | , |
0,3271047743 | 18,7417230251 | 0,1673306987 | 113 | 400 | 29200 | 10160168,0861274 | 10160136,8709692 | -31,2151582558 | 40049719,5907999 | 100148,432524264 | 48,4009276798 | 25036,1081310661 | 25036 | , |
0,3300259499 | 18,9090940565 | 0,1673710314 | 114 | 400 | 29600 | 10168356,0064804 | 10168470,5964876 | 114,5900071375 | 40059373,0097058 | 100172,797334816 | 49,0685838966 | 25042,199333704 | 25042 | , |
0,3329478361 | 19,076505807 | 0,1674117506 | 115 | 400 | 30000 | 10176636,6862187 | 10176910,7663455 | 274,0801267717 | 40069118,9339264 | 100197,393898228 | 49,7364025455 | 25048,3484745569 | 25048 | , |
0,3358704398 | 19,2439586641 | 0,1674528571 | 116 | 400 | 30400 | 10185010,1253423 | 10185457,7991029 | 447,6737606432 | 40078957,559291 | 100222,222709343 | 50,4043851715 | 25054,5556773358 | 25055 | , |
0,3387937677 | 19,4114530158 | 0,1674943517 | 117 | 400 | 30800 | 10193476,3238511 | 10194112,1133198 | 635,7894687559 | 40088889,0837372 | 100247,284268284 | 51,0725333229 | 25060,8210670711 | 25061 | , |
0,3417178266 | 19,5789892511 | 0,1675362353 | 118 | 400 | 31200 | 10202035,2817452 | 10202874,1275563 | 838,8458111081 | 40098913,7073137 | 100272,5790806 | 51,7408485514 | 25067,1447701501 | 25067 | , |
0,3446426234 | 19,7465677599 | 0,1675785088 | 119 | 400 | 31600 | 10210686,9990246 | 10211744,2603723 | 1057,2613477018 | 40109031,6322401 | 100298,10765718 | 52,4093324119 | 25073,526914295 | 25074 | , |
0,3475681647 | 19,9141889328 | 0,1676211729 | 120 | 400 | 32000 | 10219431,4756893 | 10220722,9303278 | 1291,4546385333 | 40119243,062872 | 100323,8705143 | 53,077986463 | 25079,9676285749 | 25080 | , |
0,3504944576 | 20,0818531613 | 0,1676642285 | 121 | 400 | 32400 | 10228268,7117392 | 10229810,5559828 | 1541,8442436066 | 40129548,2057199 | 100349,868173745 | 53,7468122664 | 25086,4670434362 | 25086 | , |
0,3534215087 | 20,2495608379 | 0,1677076766 | 122 | 400 | 32800 | 10237198,7071745 | 10239007,5558974 | 1808,8487229198 | 40139947,269498 | 100376,101162687 | 54,4158113876 | 25093,0252906717 | 25093 | , |
0,356349325 | 20,4173123558 | 0,1677515179 | 123 | 400 | 33200 | 10246221,461995 | 10248314,3486315 | 2092,8866364714 | 40150440,4650747 | 100402,570013874 | 55,0849853953 | 25099,6425034684 | 25100 | , |
0,3592779134 | 20,5851081093 | 0,1677957535 | 124 | 400 | 33600 | 10255336,9762008 | 10257731,3527451 | 2394,3765442669 | 40161028,0055495 | 100429,275265561 | 55,7543358621 | 25106,3188163901 | 25106 | , |
0,3622072807 | 20,7529484934 | 0,1678403841 | 125 | 400 | 34000 | 10264545,2497919 | 10267258,9867982 | 2713,7370062973 | 40171710,1062242 | 100456,217461525 | 56,4238643638 | 25113,0543653812 | 25113 | , |
0,3651374339 | 20,9208339041 | 0,1678854107 | 126 | 400 | 34400 | 10273846,2827682 | 10276897,6693508 | 3051,386582572 | 40182486,9846099 | 100483,397151228 | 57,0935724802 | 25119,849287807 | 25120 | , |
0,3680683799 | 21,0887647383 | 0,1679308342 | 127 | 400 | 34800 | 10283240,0751299 | 10286647,8189629 | 3407,7438330837 | 40193358,8604912 | 100510,814889664 | 57,7634617946 | 25126,7037224159 | 25127 | , |
0,3710001256 | 21,2567413938 | 0,1679766555 | 128 | 400 | 35200 | 10292726,6268768 | 10296509,8541946 | 3783,227317838 | 40204325,9558655 | 100538,471237578 | 58,4335338939 | 25133,6178093944 | 25134 | , |
0,373932678 | 21,4247642694 | 0,1680228756 | 129 | 400 | 35600 | 10302305,938009 | 10306484,1936058 | 4178,2555968296 | 40215388,4950311 | 100566,36676133 | 59,1037903688 | 25140,5916903324 | 25141 | , |
0,376866044 | 21,5928337649 | 0,1680694955 | 130 | 400 | 36000 | 10311978,0085264 | 10316571,2557565 | 4593,2472300623 | 40226546,7045318 | 100594,502033079 | 59,7742328138 | 25147,6255082697 | 25148 | , |
0,3798002308 | 21,7609502808 | 0,168116516 | 131 | 400 | 36400 | 10321742,8384292 | 10326771,4592067 | 5028,6207775362 | 40237800,8132315 | 100622,877630713 | 60,4448628274 | 25154,7194076783 | 25155 | , |
0,3827352452 | 21,9291142189 | 0,1681639381 | 132 | 400 | 36800 | 10331600,4277172 | 10337085,2225165 | 5484,7947992496 | 40249151,0522853 | 100651,494137891 | 61,1156820116 | 25161,8735344727 | 25162 | , |
0,3856710943 | 22,0973259818 | 0,1682117629 | 133 | 400 | 37200 | 10341550,7763906 | 10347512,9642457 | 5962,1878552009 | 40260597,6551563 | 100680,352144177 | 61,7866919725 | 25169,0880360442 | 25169 | , |
0,3886077851 | 22,265585973 | 0,1682599912 | 134 | 400 | 37600 | 10351593,8844491 | 10358055,1029545 | 6461,2185053937 | 40272140,8576707 | 100709,452244912 | 62,4578943202 | 25176,363061228 | 25176 | , |
0,3915453248 | 22,4338945972 | 0,1683086242 | 135 | 400 | 38000 | 10361729,751893 | 10368712,0572028 | 6982,3053098265 | 40283780,8979648 | 100738,795041437 | 63,1292906685 | 25183,6987603592 | 25184 | , |
0,3944837203 | 22,6022522599 | 0,1683576627 | 136 | 400 | 38400 | 10371958,3787222 | 10379484,2455507 | 7525,8668284994 | 40295518,0165747 | 100768,381140927 | 63,8008826354 | 25191,0952852316 | 25191 | , |
0,3974229788 | 22,7706593678 | 0,1684071079 | 137 | 400 | 38800 | 10382279,7649366 | 10390372,086558 | 8092,3216214124 | 40307352,4563706 | 100798,211156647 | 64,472671843 | 25198,5527891618 | 25199 | , |
0,4003631074 | 22,9391163285 | 0,1684569607 | 138 | 400 | 39200 | 10392693,9105363 | 10401375,9987849 | 8682,0882485639 | 40319284,4626589 | 100828,285707766 | 65,1446599174 | 25206,0714269414 | 25206 | , |
0,4033041133 | 23,1076235506 | 0,1685072222 | 139 | 400 | 39600 | 10403200,8155213 | 10412496,4007913 | 9295,5852699578 | 40331314,2831063 | 100858,605419595 | 65,8168484888 | 25213,6513548988 | 25214 | , |
0,4062460035 | 23,276181444 | 0,1685578934 | 140 | 400 | 40000 | 10413800,4798916 | 10423733,7111372 | 9933,2312455904 | 40343442,1678381 | 100889,170923456 | 66,4892391916 | 25221,292730864 | 25221 | , |
0,4091887853 | 23,4447904194 | 0,1686089754 | 141 | 400 | 40400 | 10424492,9036472 | 10435088,3483826 | 10595,4447354637 | 40355668,3693823 | 100919,982856873 | 67,1618336644 | 25228,9957142183 | 25229 | , |
0,4121324658 | 23,6134508885 | 0,1686604692 | 142 | 400 | 40800 | 10435278,086788 | 10446560,7310876 | 11282,6442995779 | 40367993,1427493 | 100951,041863457 | 67,8346335501 | 25236,7604658643 | 25237 | , |
0,4150770522 | 23,7821632644 | 0,1687123759 | 143 | 400 | 41200 | 10446156,0293141 | 10458151,277812 | 11995,2484979294 | 40380416,7453829 | 100982,348593102 | 68,5076404959 | 25244,5871482754 | 25245 | , |
0,4180225518 | 23,9509279611 | 0,1687646966 | 144 | 400 | 41600 | 10457126,7312255 | 10469860,407116 | 12733,6758905221 | 40392939,4372406 | 101013,903701885 | 69,1808561531 | 25252,4759254713 | 25252 | , |
0,4209689719 | 24,1197453935 | 0,1688174325 | 145 | 400 | 42000 | 10468190,1925222 | 10481688,5375595 | 13498,345037356 | 40405561,4807541 | 101045,707852183 | 69,8542821778 | 25260,4269630458 | 25260 | , |
0,4239163196 | 24,288615978 | 0,1688705845 | 146 | 400 | 42400 | 10479346,4132041 | 10493636,0877026 | 14289,6744984277 | 40418283,1408733 | 101077,761712745 | 70,5279202302 | 25268,4404281861 | 25268 | , |
0,4268646022 | 24,4575401319 | 0,1689241539 | 147 | 400 | 42800 | 10490595,3932714 | 10505703,4761051 | 15108,0828337409 | 40431104,6850978 | 101110,065958613 | 71,2017719749 | 25276,5164896533 | 25277 | , |
0,4298138272 | 24,6265182736 | 0,1689781417 | 148 | 400 | 43200 | 10501937,1327239 | 10517891,1213272 | 15953,988603292 | 40444026,3834453 | 101142,621271298 | 71,8758390813 | 25284,6553178245 | 25285 | , |
0,4327640017 | 24,7955508227 | 0,1690325491 | 149 | 400 | 43600 | 10513371,6315617 | 10530199,4419288 | 16827,8103670869 | 40457048,5085192 | 101175,428338725 | 72,5501232231 | 25292,8570846813 | 25293 | , |
0,4357151332 | 24,9646381999 | 0,1690873772 | 150 | 400 | 44000 | 10524898,8897848 | 10542628,8564699 | 17729,9666851182 | 40470171,3354901 | 101208,487855316 | 73,2246260787 | 25301,1219638289 | 25301 | , |
0,4386672289 | 25,1337808272 | 0,1691426273 | 151 | 400 | 44400 | 10536518,9073931 | 10555179,7835105 | 18660,8761173915 | 40483395,1421263 | 101241,80052207 | 73,8993493311 | 25309,4501305174 | 25309 | , |
0,4416202963 | 25,3029791276 | 0,1691983004 | 152 | 400 | 44800 | 10548231,6843868 | 10567852,6416107 | 19620,9572239034 | 40496720,2088278 | 101275,367046502 | 74,5742946679 | 25317,8417616256 | 25318 | , |
0,4445743429 | 25,4722335254 | 0,1692543978 | 153 | 400 | 45200 | 10560037,2207657 | 10580647,8493303 | 20610,6285646558 | 40510146,818601 | 101309,188142818 | 75,2494637815 | 25326,2970357045 | 25326 | , |
0,4475293759 | 25,641544446 | 0,1693109206 | 154 | 400 | 45600 | 10571935,5165299 | 10593565,8252295 | 21630,3086996507 | 40523675,2571271 | 101343,264531831 | 75,9248583692 | 25334,8161329576 | 25335 | , |
0,4504854029 | 25,810912316 | 0,1693678701 | 155 | 400 | 46000 | 10583926,5716793 | 10606606,9878682 | 22680,4161888827 | 40537305,8127322 | 101377,596941101 | 76,6004801327 | 25343,3992352752 | 25343 | , |
0,4534424313 | 25,9803375634 | 0,1694252474 | 156 | 400 | 46400 | 10596010,3862141 | 10619771,7558065 | 23761,3695923556 | 40551038,7764403 | 101412,186104976 | 77,276330779 | 25352,046526244 | 25352 | , |
0,4564004686 | 26,1498206173 | 0,1694830538 | 157 | 400 | 46800 | 10608186,9601341 | 10633060,5476042 | 24873,5874700677 | 40564874,4419903 | 101447,032764547 | 77,9524120197 | 25360,7581911367 | 25361 | , |
0,4593595223 | 26,3193619079 | 0,1695412906 | 158 | 400 | 47200 | 10620456,2934394 | 10646473,7818215 | 26017,488382021 | 40578813,1058187 | 101482,1376678 | 78,6287255714 | 25369,53441695 | 25370 | , |
0,4623196 | 26,4889618668 | 0,169599959 | 159 | 400 | 47600 | 10632818,38613 | 10660011,8770183 | 27193,4908882137 | 40592855,0671201 | 101517,501569632 | 79,3052731559 | 25378,375392408 | 25378 | , |
0,4652807092 | 26,658620927 | 0,1696590602 | 160 | 400 | 48000 | 10645273,2382059 | 10673675,2517546 | 28402,0135486461 | 40607000,6278528 | 101553,125231853 | 79,9820564997 | 25387,2813079633 | 25387 | , |
0,4682428575 | 26,8283395225 | 0,1697185955 | 161 | 400 | 48400 | 10657820,8496671 | 10687464,3245904 | 29643,4749233201 | 40621250,0927413 | 101589,009423288 | 80,6590773346 | 25396,2523558219 | 25396 | , |
0,4712060525 | 26,9981180887 | 0,1697785662 | 162 | 400 | 48800 | 10670461,2205135 | 10701379,5140857 | 30918,2935722321 | 40635603,7693151 | 101625,154919832 | 81,3363373974 | 25405,2887299581 | 25405 | , |
0,4741703018 | 27,1679570623 | 0,1698389736 | 163 | 400 | 49200 | 10683194,3507452 | 10715421,2388006 | 32226,888055386 | 40650061,9679329 | 101661,562504435 | 82,0138384302 | 25414,3906261087 | 25414 | , |
0,477135613 | 27,3378568814 | 0,1698998191 | 164 | 400 | 49600 | 10696020,2403622 | 10729589,917295 | 33569,6769327782 | 40664625,0017739 | 101698,232967211 | 82,6915821802 | 25423,5582418028 | 25424 | , |
0,4801019939 | 27,5078179852 | 0,1699611038 | 165 | 400 | 50000 | 10708938,8893645 | 10743885,9681289 | 34947,0787644107 | 40679293,1868844 | 101735,167105497 | 83,3695704 | 25432,7917763742 | 25433 | , |
0,4830694521 | 27,6778408145 | 0,1700228293 | 166 | 400 | 50400 | 10721950,2977521 | 10758309,8098623 | 36359,5121102836 | 40694066,8421988 | 101772,365723845 | 84,0478048474 | 25442,0914309611 | 25442 | , |
0,4860379953 | 27,8479258112 | 0,1700849967 | 167 | 400 | 50800 | 10735054,4655249 | 10772861,8610553 | 37807,3955303971 | 40708946,2895378 | 101809,8296341 | 84,7262872855 | 25451,4574085251 | 25451 | , |
0,4890076312 | 28,0180734187 | 0,1701476075 | 168 | 400 | 51200 | 10748251,392683 | 10787542,5402678 | 39291,1475847475 | 40723931,8536401 | 101847,559655531 | 85,4050194831 | 25460,8899138828 | 25461 | , |
0,4919783677 | 28,1882840817 | 0,170210663 | 169 | 400 | 51600 | 10761541,0792264 | 10802352,2660597 | 40811,1868333407 | 40739023,8622126 | 101885,556614722 | 86,0840032141 | 25470,3891536805 | 25470 | , |
0,4949502125 | 28,3585582464 | 0,1702741647 | 170 | 400 | 52000 | 10774923,5251551 | 10817291,4569913 | 42367,9318361748 | 40754222,6458889 | 101923,821345778 | 86,7632402582 | 25479,9553364445 | 25480 | , |
0,4979231734 | 28,5288963602 | 0,1703381138 | 171 | 400 | 52400 | 10788398,730469 | 10832360,5316223 | 43961,8011532463 | 40769528,5383113 | 101962,3546903 | 87,4427324005 | 25489,5886725751 | 25490 | , |
0,5008972583 | 28,6992988721 | 0,1704025119 | 172 | 400 | 52800 | 10801966,6951683 | 10847559,9085128 | 45593,2133445609 | 40784941,8761202 | 102001,157497473 | 88,1224814318 | 25499,2893743682 | 25499 | , |
0,503872475 | 28,8697662324 | 0,1704673603 | 173 | 400 | 53200 | 10815627,4192528 | 10862890,0062229 | 47262,5869701132 | 40800462,9989892 | 102040,230624098 | 88,8024891484 | 25509,0576560245 | 25509 | , |
0,5068488314 | 29,0402988929 | 0,1705326605 | 174 | 400 | 53600 | 10829380,9027226 | 10878351,2433125 | 48970,3405899052 | 40816092,2496393 | 102079,574934657 | 89,4827573526 | 25518,8937336644 | 25519 | , |
0,5098263355 | 29,2108973068 | 0,1705984138 | 175 | 400 | 54000 | 10843227,1455777 | 10893944,0383416 | 50716,8927639388 | 40831829,973863 | 102119,191301383 | 90,1632878522 | 25528,7978253456 | 25529 | , |
0,512804995 | 29,3815619286 | 0,1706646219 | 176 | 400 | 54400 | 10857166,147818 | 10909668,8098702 | 52502,6620522123 | 40847676,520553 | 102159,080604292 | 90,8440824608 | 25538,770151073 | 25539 | , |
0,5157848181 | 29,5522932147 | 0,1707312861 | 177 | 400 | 54800 | 10871197,9094437 | 10925525,9764584 | 54328,067014724 | 40863632,2417169 | 102199,243731294 | 91,5251429982 | 25548,8109328235 | 25549 | , |
0,5187658127 | 29,7230916226 | 0,1707984079 | 178 | 400 | 55200 | 10885322,4304546 | 10941515,956666 | 56193,5262114778 | 40879697,4925176 | 102239,681578171 | 92,2064712898 | 25558,9203945428 | 25559 | , |
0,5217479868 | 29,8939576114 | 0,1708659888 | 179 | 400 | 55600 | 10899539,7108508 | 10957639,1690532 | 58099,4582024701 | 40895872,6312685 | 102280,395048699 | 92,8880691669 | 25569,0987621748 | 25569 | , |
0,5247313484 | 30,0648916418 | 0,1709340304 | 180 | 400 | 56000 | 10913849,7506322 | 10973896,0321799 | 60046,2815477029 | 40912158,0194797 | 102321,385054702 | 93,5699384673 | 25579,3462636756 | 25579 | , |
0,5277159057 | 30,2358941759 | 0,1710025341 | 181 | 400 | 56400 | 10928252,549799 | 10990286,9646062 | 62034,4148071762 | 40928554,021881 | 102362,652516088 | 94,2520810343 | 25589,6631290221 | 25590 | , |
0,5307016666 | 30,4069656774 | 0,1710715015 | 182 | 400 | 56800 | 10942748,108351 | 11006812,3848919 | 64064,2765408885 | 40945061,0064354 | 102404,198360945 | 94,9344987177 | 25600,0495902361 | 25600 | , |
0,5336886394 | 30,5781066116 | 0,1711409341 | 183 | 400 | 57200 | 10957336,4262883 | 11023472,7115972 | 66136,2853088416 | 40961679,3443778 | 102446,02352556 | 95,6171933735 | 25610,5058813899 | 25611 | , |
0,5366768322 | 30,7493174452 | 0,1712108336 | 184 | 400 | 57600 | 10972017,5036109 | 11040268,363282 | 68250,8596710339 | 40978409,4102239 | 102488,128954513 | 96,3001668636 | 25621,0322386283 | 25621 | , |
0,5396662531 | 30,9205986466 | 0,1712812014 | 185 | 400 | 58000 | 10986791,3403188 | 11057199,7585063 | 70408,4181874674 | 40995251,5818053 | 102530,515600748 | 96,9834210567 | 25631,6289001869 | 25632 | , |
0,5426569103 | 31,0919506859 | 0,1713520393 | 186 | 400 | 58400 | 11001657,936412 | 11074267,3158301 | 72609,3794181384 | 41012206,2402991 | 102573,184425615 | 97,6669578273 | 25642,2961064038 | 25642 | , |
0,5456488122 | 31,2633740345 | 0,1714233487 | 187 | 400 | 58800 | 11016617,2918904 | 11091471,4538135 | 74854,1619230509 | 41029273,7702461 | 102616,136398954 | 98,3507790569 | 25653,0340997385 | 25653 | , |
0,5486419669 | 31,4348691658 | 0,1714951313 | 188 | 400 | 59200 | 11031669,4067541 | 11108812,5910163 | 77143,1842622049 | 41046454,5595817 | 102659,372499131 | 99,0348866328 | 25663,8431247828 | 25664 | , |
0,5516363827 | 31,6064365546 | 0,1715673887 | 189 | 400 | 59600 | 11046814,2810031 | 11126291,1459987 | 79476,8649955969 | 41063748,9996526 | 102702,893713187 | 99,7192824495 | 25674,7234282969 | 25675 | , |
0,554632068 | 31,7780766772 | 0,1716401227 | 190 | 400 | 60000 | 11062051,9146374 | 11143907,5373206 | 81855,6226832308 | 41081157,485275 | 102746,701036759 | 100,4039684076 | 25685,6752591898 | 25686 | , |
0,557629031 | 31,949790012 | 0,1717133348 | 191 | 400 | 60400 | 11077382,307657 | 11161662,1835421 | 84279,8758851029 | 41098680,4147037 | 102790,795474311 | 101,0889464145 | 25696,6988685777 | 25697 | , |
0,5606272803 | 32,1215770387 | 0,1717870267 | 192 | 400 | 60800 | 11092805,4600618 | 11179555,503223 | 86750,0431612153 | 41116318,1897243 | 102835,178039104 | 101,7742183843 | 25707,7945097759 | 25708 | , |
0,5636268241 | 32,2934382389 | 0,1718612002 | 193 | 400 | 61200 | 11108321,3718519 | 11197587,9149235 | 89266,5430715699 | 41134071,2156414 | 102879,849753282 | 102,4597862379 | 25718,9624383205 | 25719 | , |
0,5666276709 | 32,4653740958 | 0,1719358569 | 194 | 400 | 61600 | 11123930,0430273 | 11215759,8372035 | 91829,7941761613 | 41151939,9013128 | 102924,811647967 | 103,145651903 | 25730,2029119917 | 25730 | , |
0,5696298291 | 32,6373850943 | 0,1720109985 | 195 | 400 | 62000 | 11139631,473588 | 11234071,688623 | 94440,2150349934 | 41169924,6591868 | 102970,064763329 | 103,8318173139 | 25741,5161908323 | 25742 | , |
0,5726333074 | 32,8094717212 | 0,1720866269 | 196 | 400 | 62400 | 11155425,6635339 | 11252523,887742 | 97098,2242080681 | 41188025,9053317 | 103015,610148621 | 104,5182844124 | 25752,9025371552 | 25753 | , |
0,5756381141 | 32,9816344648 | 0,1721627437 | 197 | 400 | 62800 | 11171312,6128652 | 11271116,8531206 | 99804,2402553801 | 41206244,0594483 | 103061,448862307 | 105,2050551467 | 25764,3622155768 | 25764 | , |
0,5786442579 | 33,1538738155 | 0,1722393507 | 198 | 400 | 63200 | 11187292,3215817 | 11289851,0033186 | 102558,681736933 | 41224579,5449229 | 103107,581972097 | 105,8921314724 | 25775,8954930242 | 25776 | , |
0,5816517473 | 33,3261902652 | 0,1723164497 | 199 | 400 | 63600 | 11203364,7896835 | 11308726,7568962 | 105361,967212725 | 41243032,7888388 | 103154,010555031 | 106,5795153522 | 25787,5026387576 | 25788 | , |
0,5846605909 | 33,4985843077 | 0,1723940425 | 200 | 400 | 64000 | 11219530,0171706 | 11327744,5324133 | 108214,515242759 | 41261604,2220122 | 103200,735697587 | 107,2672087559 | 25799,1839243969 | 25799 | , |
0,5876707975 | 33,6710564387 | 0,172472131 | 201 | 400 | 64400 | 11235788,0040429 | 11346904,7484299 | 111116,744387031 | 41280294,279035 | 103247,75849569 | 107,9552136606 | 25810,9396239224 | 25811 | , |
0,5906823756 | 33,8436071556 | 0,1725507169 | 202 | 400 | 64800 | 11252138,7503006 | 11366207,8235061 | 114069,073205544 | 41299103,3982759 | 103295,080054898 | 108,6435320506 | 25822,7700137245 | 25823 | , |
0,593695334 | 34,0162369576 | 0,1726298021 | 203 | 400 | 65200 | 11268582,2559435 | 11385654,1762018 | 117071,920258297 | 41318032,0219591 | 103342,70149033 | 109,3321659176 | 25834,6753725825 | 25835 | , |
0,5967096815 | 34,1889463461 | 0,1727093884 | 204 | 400 | 65600 | 11285118,5209717 | 11405244,225077 | 120125,704105292 | 41337080,5961321 | 103390,623926926 | 110,0211172609 | 25846,6559817315 | 25847 | , |
0,5997254268 | 34,3617358239 | 0,1727894778 | 205 | 400 | 66000 | 11301747,5453851 | 11424978,3886917 | 123230,843306521 | 41356249,5707704 | 103438,848499357 | 110,7103880871 | 25858,7121248392 | 25859 | , |
0,6027425788 | 34,534605896 | 0,1728700722 | 206 | 400 | 66400 | 11318469,3291839 | 11444857,0856059 | 126387,756421996 | 41375539,3997427 | 103487,37635223 | 111,3999804104 | 25870,8440880574 | 25871 | , |
0,6057611462 | 34,7075570694 | 0,1729511733 | 207 | 400 | 66800 | 11335283,8723679 | 11464880,7343796 | 129596,862011708 | 41394950,5408919 | 103536,208640131 | 112,0898962527 | 25883,0521600327 | 25883 | , |
0,608781138 | 34,8805898527 | 0,1730327833 | 208 | 400 | 67200 | 11352191,1749372 | 11485049,7535729 | 132858,578635661 | 41414483,4560524 | 103585,346527672 | 112,7801376437 | 25895,3366319179 | 25895 | , |
0,611802563 | 35,0537047567 | 0,173114904 | 209 | 400 | 67600 | 11369191,2368918 | 11505364,5617457 | 136173,324853854 | 41434138,6110687 | 103634,791189642 | 113,4707066205 | 25907,6977974104 | 25908 | , |
0,6148254303 | 35,2269022941 | 0,1731975374 | 210 | 400 | 68000 | 11386284,0582317 | 11525825,577458 | 139541,519226287 | 41453916,4758566 | 103684,543811043 | 114,1616052284 | 25920,1359527606 | 25920 | , |
0,6178497488 | 35,4001829795 | 0,1732806854 | 211 | 400 | 68400 | 11403469,6389569 | 11546433,2192698 | 142963,580312958 | 41473817,524417 | 103734,605587212 | 114,8528355205 | 25932,6513968031 | 25933 | , |
0,6208755275 | 35,5735473297 | 0,1733643502 | 212 | 400 | 68800 | 11420747,9790673 | 11567187,9057412 | 146439,926673872 | 41493842,234885 | 103784,977723875 | 115,5443995578 | 25945,2444309688 | 25945 | , |
0,6239027755 | 35,7469958633 | 0,1734485336 | 213 | 400 | 69200 | 11438119,078563 | 11588090,0554321 | 149970,976869026 | 41513991,0895501 | 103835,661437262 | 116,2362994093 | 25957,9153593154 | 25958 | , |
0,6269315019 | 35,920529101 | 0,1735332377 | 214 | 400 | 69600 | 11455582,937444 | 11609140,0869024 | 153557,149458418 | 41534264,5749047 | 103886,657954196 | 116,9285371522 | 25970,6644885491 | 25971 | , |
0,6299617157 | 36,0941475656 | 0,1736184646 | 215 | 400 | 70000 | 11473139,5557103 | 11630338,4187124 | 157198,863002051 | 41554663,1816785 | 103937,968512181 | 117,6211148719 | 25983,4921280451 | 25983 | , |
0,6329934262 | 36,2678517819 | 0,1737042163 | 216 | 400 | 70400 | 11490788,9333619 | 11651685,4694218 | 160896,536059923 | 41575187,4048722 | 103989,59435948 | 118,3140346619 | 25996,39858987 | 25996 | , |
0,6360266426 | 36,4416422769 | 0,173790495 | 217 | 400 | 70800 | 11508531,0703987 | 11673181,6575907 | 164650,587192036 | 41595837,7437921 | 104041,536755233 | 119,0072986243 | 26009,3841888082 | 26009 | , |
0,639061374 | 36,6155195795 | 0,1738773026 | 218 | 400 | 71200 | 11526365,9668208 | 11694827,4017792 | 168461,434958389 | 41616614,7020931 | 104093,796969541 | 119,7009088694 | 26022,4492423851 | 26022 | , |
0,6420976298 | 36,789484221 | 0,1739646415 | 219 | 400 | 71600 | 11544293,6226282 | 11716623,1205472 | 172329,497918982 | 41637518,7878162 | 104146,376283548 | 120,3948675158 | 26035,5940708869 | 26036 | , |
0,6451354192 | 36,9635367345 | 0,1740525136 | 220 | 400 | 72000 | 11562314,0378209 | 11738569,2324547 | 176255,194633815 | 41658550,513419 | 104199,275989579 | 121,0891766911 | 26048,8189973948 | 26049 | , |
0,6481747516 | 37,1376776557 | 0,1741409211 | 221 | 400 | 72400 | 11580427,2123988 | 11760666,1560617 | 180238,943662887 | 41679710,3958316 | 104252,497391185 | 121,783838531 | 26062,1243477963 | 26062 | , |
0,6512156365 | 37,311907522 | 0,1742298663 | 222 | 400 | 72800 | 11598633,1463621 | 11782914,3099283 | 184281,1635662 | 41700998,9564741 | 104306,041803288 | 122,4788551803 | 26075,5104508221 | 26076 | , |
0,6542580831 | 37,4862268733 | 0,1743193513 | 223 | 400 | 73200 | 11616931,8397106 | 11805314,1126143 | 188382,272903753 | 41722416,7213154 | 104359,910552262 | 123,1742287923 | 26088,9776380654 | 26089 | , |
0,657302101 | 37,6606362517 | 0,1744093784 | 224 | 400 | 73600 | 11635323,2924444 | 11827865,9826799 | 192542,690235546 | 41743964,2209047 | 104414,104976033 | 123,8699615293 | 26102,5262440083 | 26103 | , |
0,6603476997 | 37,8351362014 | 0,1744999497 | 225 | 400 | 74000 | 11653807,5045635 | 11850570,338685 | 196762,834121579 | 41765641,9904133 | 104468,626424181 | 124,5660555625 | 26116,1566060452 | 26116 | , |
0,6633948886 | 38,009727269 | 0,1745910676 | 226 | 400 | 74400 | 11672384,4760678 | 11873427,5991897 | 201043,12312185 | 41787450,5696723 | 104523,476258072 | 125,262513072 | 26129,869064518 | 26130 | , |
0,6664436775 | 38,1844100032 | 0,1746827342 | 227 | 400 | 74800 | 11691054,2069575 | 11896438,1827538 | 205383,975796364 | 41809390,5032287 | 104578,655850923 | 125,959336247 | 26143,6639627308 | 26144 | , |
0,6694940759 | 38,3591849552 | 0,174774952 | 228 | 400 | 75200 | 11709816,6972324 | 11919602,5079375 | 209785,810705118 | 41831462,3403694 | 104634,166587925 | 126,656527286 | 26157,5416469812 | 26158 | , |
0,6725460934 | 38,5340526784 | 0,1748677232 | 229 | 400 | 75600 | 11728671,9468926 | 11942920,9933007 | 214249,046408111 | 41853666,6351699 | 104690,009866382 | 127,3540883966 | 26171,5024665956 | 26172 | , |
0,6755997398 | 38,7090137286 | 0,1749610501 | 230 | 400 | 76000 | 11747619,955938 | 11966394,0574034 | 218774,101465343 | 41876003,946553 | 104746,187095771 | 128,0520217957 | 26185,5467739427 | 26186 | , |
0,6786550248 | 38,8840686638 | 0,1750549352 | 231 | 400 | 76400 | 11766660,7243688 | 11990022,1188056 | 223361,394436816 | 41898474,8383083 | 104802,699697886 | 128,7503297097 | 26199,6749244715 | 26200 | , |
0,6817119581 | 39,0592180445 | 0,1751493807 | 232 | 400 | 76800 | 11785794,2521848 | 12013805,5960674 | 228011,343882527 | 41921079,8791544 | 104859,549106951 | 129,4490143744 | 26213,8872767377 | 26214 | , |
0,6847705497 | 39,2344624337 | 0,1752443892 | 233 | 400 | 77200 | 11805020,5393861 | 12037744,9077486 | 232724,368362481 | 41943819,6427803 | 104916,736769693 | 130,1480780351 | 26228,1841924232 | 26228 | , |
0,6878308094 | 39,4098023965 | 0,1753399629 | 234 | 400 | 77600 | 11824339,5859727 | 12061840,4724094 | 237500,886436673 | 41966694,7078772 | 104974,264145535 | 130,8475229469 | 26242,5660363837 | 26243 | , |
0,690892747 | 39,5852385009 | 0,1754361043 | 235 | 400 | 78000 | 11843751,3919446 | 12086092,7086097 | 242341,316665106 | 41989705,6582139 | 105032,132706637 | 131,5473513745 | 26257,0331766591 | 26257 | , |
0,6939563726 | 39,7607713168 | 0,175532816 | 236 | 400 | 78400 | 11863255,9573018 | 12110502,0349096 | 247246,077607779 | 42012853,0826546 | 105090,34393805 | 132,2475655926 | 26271,5859845125 | 26272 | , |
0,6970216961 | 39,9364014172 | 0,1756301003 | 237 | 400 | 78800 | 11882853,2820442 | 12135068,8698689 | 252215,587824693 | 42036137,57522 | 105148,899337849 | 132,9481678855 | 26286,2248344622 | 26286 | , |
0,7000887276 | 40,112129377 | 0,1757279598 | 238 | 400 | 79200 | 11902543,3661719 | 12159793,6320478 | 257250,265875844 | 42059559,7351395 | 105207,800417202 | 133,6491605477 | 26300,9501043005 | 26301 | , |
0,7031574772 | 40,2879557741 | 0,1758263971 | 239 | 400 | 79600 | 11922326,2096849 | 12184676,7400062 | 262350,530321239 | 42083120,1668808 |
Original xls file : calculationStepper (version 2)
Code loaded in Arduino Uno : stepperMotorBarndoor
#define coilA 8 //arduino pin connected to stepper motor > to pin 1 ULN2803 > to red wire stepper
#define coilB 9 //arduino pin connected to stepper motor > to pin 2 ULN2803 > to blue wire stepper
#define coilC 10 //arduino pin connected to stepper motor > to pin 3 ULN2803 > to yellow wire stepper
#define coilD 11 //arduino pin connected to stepper motor > to pin 4 ULN2803 > to orange wire stepper
#define endStrokeSW 2 //arduino pin connected to switch
#define nbHalfStepMax 64000 //counting from closed position, if we go higher, the screw will escape the nut
const int halfStepSequence[8]={B11000000,B01000000,B01100000,B00100000,B00110000,B00010000,B10010000,B10000000};
const int fullStepSequence[4]={B10000000,B01000000,B00100000,B00010000};
unsigned long currentStep=0;
int byteToSend=0;
boolean initSequence=false;
//motor
const int timeStep=50;//ms (no retaining current, save some power) max : 100ms
const int timeStepFull=3;//ms (no retaining current, save some power)
unsigned long halfStepFromOrigin=0;//count how many halfStep from origin (when switch closes)
int baseValueDelay=0;//use if delay are higher than 16bits numbers ex 70000=60000+10000
int stepsPerCell=400;//how many steps to do before we shift to next delay value in the table
//table des délais pour le timers (pointer sur une nouvelle valeur tous les 400 demi-pas : 1 tours)
int tableDelay[]={
24741 ,
24743 ,
24745 ,
24748 ,
24750 ,
24752 ,
24755 ,
24757 ,
24760 ,
24762 ,
24765 ,
24767 ,
24770 ,
24773 ,
24776 ,
24778 ,
24781 ,
24784 ,
24787 ,
24790 ,
24793 ,
24797 ,
24800 ,
24803 ,
24806 ,
24810 ,
24813 ,
24817 ,
24820 ,
24824 ,
24827 ,
24831 ,
24835 ,
24839 ,
24843 ,
24846 ,
24850 ,
24854 ,
24859 ,
24863 ,
24867 ,
24871 ,
24875 ,
24880 ,
24884 ,
24889 ,
24893 ,
24898 ,
24902 ,
24907 ,
24912 ,
24917 ,
24921 ,
24926 ,
24931 ,
24936 ,
24941 ,
24946 ,
24952 ,
24957 ,
24962 ,
24967 ,
24973 ,
24978 ,
24984 ,
24989 ,
24995 ,
25001 ,
25007 ,
25012 ,
25018 ,
25024 ,
25030 ,
25036 ,
25042 ,
25048 ,
25055 ,
25061 ,
25067 ,
25074 ,
25080 ,
25086 ,
25093 ,
25100 ,
25106 ,
25113 ,
25120 ,
25127 ,
25134 ,
25141 ,
25148 ,
25155 ,
25162 ,
25169 ,
25176 ,
25184 ,
25191 ,
25199 ,
25206 ,
25214 ,
25221 ,
25229 ,
25237 ,
25245 ,
25252 ,
25260 ,
25268 ,
25277 ,
25285 ,
25293 ,
25301 ,
25309 ,
25318 ,
25326 ,
25335 ,
25343 ,
25352 ,
25361 ,
25370 ,
25378 ,
25387 ,
25396 ,
25405 ,
25414 ,
25424 ,
25433 ,
25442 ,
25451 ,
25461 ,
25470 ,
25480 ,
25490 ,
25499 ,
25509 ,
25519 ,
25529 ,
25539 ,
25549 ,
25559 ,
25569 ,
25579 ,
25590 ,
25600 ,
25611 ,
25621 ,
25632 ,
25642 ,
25653 ,
25664 ,
25675 ,
25686 ,
25697 ,
25708 ,
25719 ,
25730 ,
25742 ,
25753 ,
25764 ,
25776 ,
25788 ,
25799 ,
25811 ,
25823 ,
25835 ,
25847 ,
25859 ,
25871 ,
25883 ,
25895 ,
25908 ,
25920 ,
25933 ,
25945 ,
25958 ,
25971 ,
25983 ,
25996 ,
26009 ,
26022 ,
26036 ,
26049 ,
26062 ,
26076 ,
26089 ,
26103 ,
26116 ,
26130 ,
26144 ,
26158 ,
26172 ,
26186 ,
26200 ,
26214 ,
26228 ,
26243 ,
26257 ,
26272 ,
26286 ,
26301
};
int nbStepsLoop=0;
void setup() {
//stepper motor coils control
pinMode(coilA, OUTPUT);
pinMode(coilB, OUTPUT);
pinMode(coilC, OUTPUT);
pinMode(coilD, OUTPUT);
//sensing end of stroke
pinMode(endStrokeSW, INPUT); // set pin to input
digitalWrite(endStrokeSW, HIGH); // turn on pullup resistors
// initialize timer1
//CTC mode : when timer1 (TCCR1A) value reaches OCR1A value, the ISR subrutine is called and timer1 (TCCR1A) value is reset to 0
noInterrupts(); // disable all interrupts
TCCR1A = 0;// set entire TCCR1A register to 0
TCCR1B = 0;// same for TCCR1B (we modify them after bit per bit)
TCNT1 = 0;//initialize counter value to 0
OCR1A = baseValueDelay+tableDelay[0]; // set compare match register A
//OCR1B = 60000; // set compare match register B
TCCR1B |= (1 << WGM12); // CTC mode
TCCR1B |= (0 << CS12); // prescaler bit 2 >>prescaler 64
TCCR1B |= (1 << CS11); // prescaler bit 1
TCCR1B |= (1 << CS10); // prescaler bit 0
TIMSK1 |= (1 << OCIE1A); // enable timer compare A interrupt
//TIMSK1 |= (1 << OCIE1B); // enable timer compare A interrupt
//TIMSK1 |= (1 << TOIE1); // enable timer overflow interrupt
interrupts(); // enable all interrupts
Serial.begin(115200);
delay(100);//stab
Serial.print(“Start Serial”);
//if switch is open we go back to closed position to start a new sequence (knowing from where we are starting)
//if switch us closed (manually pressed) > we go in high speed to wide open position (to set the eyepiece finder alignment for example)
if(digitalRead(endStrokeSW)==HIGH){
//go until switch or max number of steps
int nbStepClosing=0;//secure closing in case of defective switch
Serial.print(digitalRead(endStrokeSW));
while((digitalRead(endStrokeSW)==HIGH)&&(nbStepClosing<nbHalfStepMax)){
fullStep(1,-3);
nbStepClosing+=2;//+2 because they are full steps
}
//si le nombre de pas est trop grand c’est qu’il y a eu un soucis
if(nbStepClosing>=nbHalfStepMax){
while(1){}//on stop
}
halfStepFromOrigin=0; //we are at origin
//rattrapage des jeux, en ouverture
fullStep(300,5);
fullStep(100,10);
halfStep(20,10);
halfStep(5,20);
initSequence=true;//we are ready to start tracking
}
else{
//if switch is closed (manually on purpose while reseting for example)
//we go to wide open position (big steps) and stay so until reset button is pressed again
for(int i=0;i<10000;i++){
fullStep(1,2);
}
}
}
void loop() {
//when we arrive at the end of the screw > stop everything
if(halfStepFromOrigin>nbHalfStepMax){
noInterrupts();
stopMotorNoTorque();
while(1){}//stop programm
}
}
void halfStep(int nbSteps, int speedMotor){
//répéter autant de fois qu’il faut faire de pas
for(int i=0;i<nbSteps;i++){
//on choisit le sens de rotation moteur en fonction du signe de la vitesse
//positif : horaire en regardant le moteur de face> la table s’ouvre
if(speedMotor>=0){
if(currentStep<7){
currentStep+=1;
}
else{
currentStep=0;
}
halfStepFromOrigin+=1;
}
//négatif : antihoraire
else{
if(currentStep>0){
currentStep-=1;
}
else{
currentStep=7;
}
halfStepFromOrigin-=1;
}
byteToSend=halfStepSequence[currentStep];
//Serial.println(byteToSend);
digitalWrite(coilA,(byteToSend&B10000000)>>7);
//Serial.println((byteToSend&B10000000)>>7);
digitalWrite(coilB,(byteToSend&B01000000)>>6);
//Serial.println((byteToSend&B01000000)>>6);
digitalWrite(coilC,(byteToSend&B00100000)>>5);
//Serial.println((byteToSend&B00100000)>>5);
digitalWrite(coilD,(byteToSend&B00010000)>>4);
//Serial.println((byteToSend&B00010000)>>4);
//Serial.println(“————“);
delay(timeStep);// how much time we maintain power (depends on load and battery voltage)
//and then cut power
stopMotorNoTorque();
//print current step
//Serial.println(halfStepFromOrigin);
delay(abs(speedMotor));//speed management (careful : when higher > slower)
}
}
void fullStep(int nbSteps, int speedMotor){
//for full torque or full speed (careful with current and heat!)
for(int i=0;i<nbSteps;i++){
if(speedMotor>=0){
if(currentStep<3){
currentStep+=1;
}
else{
currentStep=0;
}
halfStepFromOrigin+=2;
}
else{
if(currentStep>0){
currentStep-=1;
}
else{
currentStep=3;
}
halfStepFromOrigin-=2;
}
byteToSend=fullStepSequence[currentStep];
//Serial.println(byteToSend);
digitalWrite(coilA,(byteToSend&B10000000)>>7);
//Serial.println((byteToSend&B10000000)>>7);
digitalWrite(coilB,(byteToSend&B01000000)>>6);
//Serial.println((byteToSend&B01000000)>>6);
digitalWrite(coilC,(byteToSend&B00100000)>>5);
//Serial.println((byteToSend&B00100000)>>5);
digitalWrite(coilD,(byteToSend&B00010000)>>4);
//Serial.println((byteToSend&B00010000)>>4);
//Serial.println(“————“);
delay(timeStepFull);// how much time we maintain power (depends on load and battery voltage)
//and then cut power
stopMotorNoTorque();
delay(abs(speedMotor));//speed management (careful : when higher > slower)
//print current step
//Serial.println(halfStepFromOrigin);
}
}
void stopMotorNoTorque(){
//stop the motor without retaining torque (no current)
digitalWrite(coilA,0);
digitalWrite(coilB,0);
digitalWrite(coilC,0);
digitalWrite(coilD,0);
}
ISR(TIMER1_COMPA_vect) // timer compare interrupt service routine
{
if(initSequence==true){
int indexTable=0;
indexTable=halfStepFromOrigin/stepsPerCell;
OCR1A=tableDelay[indexTable];
int a=TCNT1;
//Serial.print(“count = ” );
//Serial.println(a);
//Serial.print(“compA = ” );
//Serial.println(OCR1A);
halfStep(1,0);//one step, 0 indicates we add no more delay
}
}
ISR(TIMER1_COMPB_vect) // timer compare interrupt service routine : NOT USED here
{
//
}
ISR(TIMER1_OVF_vect) // timer compare interrupt service routine : NOT USED here
{
//
}