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Fourier Analysis of MSTR (MicroStrategy Incorporated)


MSTR (MicroStrategy Incorporated) appears to have interesting cyclic behaviour every 89 weeks (50.0821*cosine), 98 weeks (45.1557*cosine), and 82 weeks (39.6066*cosine).

MSTR (MicroStrategy Incorporated) has an average price of 131.24 (topmost row, frequency = 0).



Click on the checkboxes shown on the right to see how the various frequencies contribute to the graph. Look for large magnitude coefficients (sine or cosine), as these are associated with frequencies which contribute most to the associated stock plot. If you find a large magnitude coefficient which dramatically changes the graph, look at the associated "Period" in weeks, as you may have found a significant recurring cycle for the stock of interest.

Right click on the graph above to see the menu of operations (download, full screen, etc.)

Fourier Analysis

Using data from 6/11/1998 to 3/20/2017 for MSTR (MicroStrategy Incorporated), this program was able to calculate the following Fourier Series:
Sequence #Cosine Coefficients Sine Coefficients FrequenciesPeriod
0131.2356   0 
191.44349 .45082 (1*2π)/980980 weeks
255.40328 43.07814 (2*2π)/980490 weeks
32.46074 76.84655 (3*2π)/980327 weeks
4-42.39697 34.60238 (4*2π)/980245 weeks
5-73.17643 19.26876 (5*2π)/980196 weeks
6-59.6242 -22.48204 (6*2π)/980163 weeks
7-33.01175 -43.01048 (7*2π)/980140 weeks
8-5.15754 -57.35191 (8*2π)/980123 weeks
920.48503 -50.04654 (9*2π)/980109 weeks
1045.15574 -28.66766 (10*2π)/98098 weeks
1150.08208 -5.56649 (11*2π)/98089 weeks
1239.60663 21.78085 (12*2π)/98082 weeks
1327.07889 29.97512 (13*2π)/98075 weeks
14-.56974 36.84541 (14*2π)/98070 weeks
15-14.82232 35.93288 (15*2π)/98065 weeks
16-30.3751 19.63143 (16*2π)/98061 weeks
17-34.99797 -.11927 (17*2π)/98058 weeks
18-33.17975 -13.64392 (18*2π)/98054 weeks
19-17.24117 -31.63082 (19*2π)/98052 weeks
202.8502 -33.3664 (20*2π)/98049 weeks
2116.411 -26.29916 (21*2π)/98047 weeks
2230.02749 -10.44528 (22*2π)/98045 weeks
2331.62609 4.56386 (23*2π)/98043 weeks
2422.69563 18.22326 (24*2π)/98041 weeks
255.73955 26.46066 (25*2π)/98039 weeks
26-6.18014 24.80791 (26*2π)/98038 weeks
27-22.86147 15.92788 (27*2π)/98036 weeks
28-26.54355 1.05014 (28*2π)/98035 weeks
29-22.23038 -14.17912 (29*2π)/98034 weeks
30-13.14005 -22.55647 (30*2π)/98033 weeks
31-.07459 -24.19708 (31*2π)/98032 weeks
3214.15336 -15.34655 (32*2π)/98031 weeks
3319.53175 -6.56574 (33*2π)/98030 weeks
3421.68884 6.21486 (34*2π)/98029 weeks
3512.21746 15.43932 (35*2π)/98028 weeks
363.17932 20.49983 (36*2π)/98027 weeks
37-8.6955 18.5785 (37*2π)/98026 weeks
38-15.26033 10.46592 (38*2π)/98026 weeks
39-19.08578 -.12244 (39*2π)/98025 weeks
40-14.26611 -8.53926 (40*2π)/98025 weeks
41-6.05309 -14.26978 (41*2π)/98024 weeks
424.67382 -15.26121 (42*2π)/98023 weeks
438.93102 -9.51853 (43*2π)/98023 weeks
4411.93586 .16621 (44*2π)/98022 weeks
459.98959 8.76087 (45*2π)/98022 weeks
465.15726 12.27543 (46*2π)/98021 weeks
47-4.05042 10.73059 (47*2π)/98021 weeks
48-9.80269 10.10842 (48*2π)/98020 weeks
49-12.75879 .84667 (49*2π)/98020 weeks
50-12.009 -5.53764 (50*2π)/98020 weeks
51-10.09782 -11.57175 (51*2π)/98019 weeks
52-1.20373 -13.14073 (52*2π)/98019 weeks
536.71043 -12.58053 (53*2π)/98018 weeks
5411.30751 -5.36696 (54*2π)/98018 weeks
5513.36174 1.53917 (55*2π)/98018 weeks
5610.83963 8.3257 (56*2π)/98018 weeks
572.12387 12.3794 (57*2π)/98017 weeks
58-5.10405 12.54705 (58*2π)/98017 weeks
59-10.36301 7.10883 (59*2π)/98017 weeks
60-13.38005 -1.18906 (60*2π)/98016 weeks
61-11.06974 -7.6979 (61*2π)/98016 weeks
62-3.08853 -13.62771 (62*2π)/98016 weeks
633.82165 -13.62982 (63*2π)/98016 weeks
649.24026 -7.99624 (64*2π)/98015 weeks
6511.56761 .43053 (65*2π)/98015 weeks
669.23027 6.80194 (66*2π)/98015 weeks
673.14093 9.92833 (67*2π)/98015 weeks
68-3.72483 10.45278 (68*2π)/98014 weeks
69-8.48214 6.13194 (69*2π)/98014 weeks
70-9.88174 .28087 (70*2π)/98014 weeks
71-8.44538 -4.64396 (71*2π)/98014 weeks
72-3.48495 -8.10114 (72*2π)/98014 weeks
732.0504 -9.87718 (73*2π)/98013 weeks
745.78643 -6.88627 (74*2π)/98013 weeks
758.29832 -2.03521 (75*2π)/98013 weeks
768.56272 3.48091 (76*2π)/98013 weeks
773.98146 8.31789 (77*2π)/98013 weeks
78-1.15527 10.18318 (78*2π)/98013 weeks
79-5.13974 7.80801 (79*2π)/98012 weeks
80-9.77634 2.24519 (80*2π)/98012 weeks
81-10.16358 -3.74457 (81*2π)/98012 weeks
82-7.08012 -7.80204 (82*2π)/98012 weeks
83-1.35835 -9.86458 (83*2π)/98012 weeks
843.82783 -8.86509 (84*2π)/98012 weeks
858.04772 -3.61787 (85*2π)/98012 weeks
868.45665 1.02827 (86*2π)/98011 weeks
876.02589 5.21979 (87*2π)/98011 weeks
881.77556 7.98334 (88*2π)/98011 weeks
89-2.22614 6.18626 (89*2π)/98011 weeks
90-5.90901 4.42419 (90*2π)/98011 weeks
91-7.13034 .65904 (91*2π)/98011 weeks
92-5.57682 -3.47027 (92*2π)/98011 weeks
93-3.9792 -6.74579 (93*2π)/98011 weeks
94-.33908 -6.22478 (94*2π)/98010 weeks
952.52191 -5.14753 (95*2π)/98010 weeks
965.04347 -3.05568 (96*2π)/98010 weeks
974.90394 .1264 (97*2π)/98010 weeks
983.99336 3.33996 (98*2π)/98010 weeks
992.1061 4.2964 (99*2π)/98010 weeks
100-1.37805 4.76829 (100*2π)/98010 weeks
101-3.46266 3.5836 (101*2π)/98010 weeks
102-4.53003 .64744 (102*2π)/98010 weeks
103-4.60962 -2.49203 (103*2π)/98010 weeks
104-2.673 -4.50142 (104*2π)/9809 weeks
105.17235 -5.50607 (105*2π)/9809 weeks
1063.13508 -4.39776 (106*2π)/9809 weeks
1074.80442 -2.33051 (107*2π)/9809 weeks
1084.36379 .98306 (108*2π)/9809 weeks
1092.58392 3.93768 (109*2π)/9809 weeks
110-.12019 5.07132 (110*2π)/9809 weeks
111-2.95155 4.14935 (111*2π)/9809 weeks
112-4.76719 1.85248 (112*2π)/9809 weeks
113-5.17603 -1.73131 (113*2π)/9809 weeks
114-3.32091 -4.19573 (114*2π)/9809 weeks
115-.57785 -5.54738 (115*2π)/9809 weeks
1162.52719 -5.35666 (116*2π)/9808 weeks
1174.74085 -2.79606 (117*2π)/9808 weeks
1184.97367 -.27896 (118*2π)/9808 weeks
1193.06476 2.58475 (119*2π)/9808 weeks
120-.17127 4.17167 (120*2π)/9808 weeks
121-2.77935 4.10735 (121*2π)/9808 weeks
122-3.85504 1.96443 (122*2π)/9808 weeks
123-4.96648 -1.16743 (123*2π)/9808 weeks
124-3.57581 -3.56591 (124*2π)/9808 weeks
125-.87662 -4.83236 (125*2π)/9808 weeks
1261.89513 -5.46322 (126*2π)/9808 weeks
1274.49729 -3.00043 (127*2π)/9808 weeks
1285.84652 -.81776 (128*2π)/9808 weeks
1295.57396 2.6553 (129*2π)/9808 weeks
1303.00247 5.32164 (130*2π)/9808 weeks
131-.62353 6.35486 (131*2π)/9807 weeks
132-3.41704 5.09166 (132*2π)/9807 weeks
133-6.004 2.15556 (133*2π)/9807 weeks
134-6.24394 -1.17877 (134*2π)/9807 weeks
135-4.10793 -5.19648 (135*2π)/9807 weeks
136-1.38316 -6.79607 (136*2π)/9807 weeks
1372.2779 -6.19284 (137*2π)/9807 weeks
1386.4617 -4.48323 (138*2π)/9807 weeks
1397.54583 -1.18175 (139*2π)/9807 weeks
1406.89338 3.03656 (140*2π)/9807 weeks
1414.84734 6.52372 (141*2π)/9807 weeks
142.41251 7.78271 (142*2π)/9807 weeks
143-3.7665 7.08755 (143*2π)/9807 weeks
144-7.18008 4.46701 (144*2π)/9807 weeks
145-8.15013 .04787 (145*2π)/9807 weeks
146-7.1158 -4.60502 (146*2π)/9807 weeks
147-3.57255 -7.55274 (147*2π)/9807 weeks
1481.36454 -7.43994 (148*2π)/9807 weeks
1495.532 -5.88624 (149*2π)/9807 weeks
1507.69077 -1.70291 (150*2π)/9807 weeks
1517.02165 2.96627 (151*2π)/9806 weeks
1524.01748 6.78933 (152*2π)/9806 weeks
153-.91853 7.87441 (153*2π)/9806 weeks
154-4.722 6.35715 (154*2π)/9806 weeks
155-7.32809 2.47566 (155*2π)/9806 weeks
156-7.32149 -1.34923 (156*2π)/9806 weeks
157-4.83749 -4.65527 (157*2π)/9806 weeks
158-1.19939 -6.19042 (158*2π)/9806 weeks
1592.55234 -5.56005 (159*2π)/9806 weeks
1604.82412 -3.05273 (160*2π)/9806 weeks
1615.60317 -.01814 (161*2π)/9806 weeks
1624.88657 2.93708 (162*2π)/9806 weeks
1631.40869 4.30845 (163*2π)/9806 weeks
164-1.60691 4.98444 (164*2π)/9806 weeks
165-4.11167 3.55319 (165*2π)/9806 weeks
166-5.04581 .85977 (166*2π)/9806 weeks
167-5.00871 -2.45126 (167*2π)/9806 weeks
168-3.04 -4.22623 (168*2π)/9806 weeks
169-.47483 -4.86298 (169*2π)/9806 weeks
1702.34449 -4.14266 (170*2π)/9806 weeks
1713.24911 -1.78691 (171*2π)/9806 weeks
1723.36331 .92005 (172*2π)/9806 weeks
1731.83948 2.33236 (173*2π)/9806 weeks
174.01653 3.65991 (174*2π)/9806 weeks
175-2.18781 2.84518 (175*2π)/9806 weeks
176-2.86254 1.33632 (176*2π)/9806 weeks
177-3.01479 -.97721 (177*2π)/9806 weeks
178-1.80019 -2.36249 (178*2π)/9806 weeks
179-.67377 -3.06766 (179*2π)/9805 weeks
1801.25673 -2.50949 (180*2π)/9805 weeks
1812.14939 -1.67095 (181*2π)/9805 weeks
1822.40401 -.26444 (182*2π)/9805 weeks
1831.79285 1.04138 (183*2π)/9805 weeks
184.9789 1.49408 (184*2π)/9805 weeks
185.07455 2.04757 (185*2π)/9805 weeks
186-1.10145 1.22159 (186*2π)/9805 weeks
187-1.99304 .48471 (187*2π)/9805 weeks
188-2.26044 -.58605 (188*2π)/9805 weeks
189-1.86841 -1.80054 (189*2π)/9805 weeks
190-.55854 -2.56183 (190*2π)/9805 weeks
191.9452 -2.29104 (191*2π)/9805 weeks
1922.32825 -1.99622 (192*2π)/9805 weeks
1933.22655 -.51963 (193*2π)/9805 weeks
1943.10585 .83433 (194*2π)/9805 weeks
1952.02864 2.26857 (195*2π)/9805 weeks
196.11215 2.74791 (196*2π)/9805 weeks
197-1.54035 2.19308 (197*2π)/9805 weeks
198-2.77931 .71442 (198*2π)/9805 weeks
199-2.8836 -1.27542 (199*2π)/9805 weeks
200-2.18759 -3.02992 (200*2π)/9805 weeks
201-.31386 -3.67828 (201*2π)/9805 weeks
2021.45522 -2.87159 (202*2π)/9805 weeks
2033.61293 -1.55388 (203*2π)/9805 weeks
2043.90778 .53036 (204*2π)/9805 weeks
2053.35865 2.47286 (205*2π)/9805 weeks
2061.88289 3.90355 (206*2π)/9805 weeks
207-.21345 4.36024 (207*2π)/9805 weeks
208-2.41976 3.27836 (208*2π)/9805 weeks
209-4.057 1.27959 (209*2π)/9805 weeks
210-4.07037 -.91076 (210*2π)/9805 weeks
211-2.93053 -3.22609 (211*2π)/9805 weeks
212-.59544 -4.55269 (212*2π)/9805 weeks
2131.82571 -4.05329 (213*2π)/9805 weeks
2143.94137 -2.42904 (214*2π)/9805 weeks
2154.68812 .15975 (215*2π)/9805 weeks
2164.05592 3.11995 (216*2π)/9805 weeks
2171.93139 4.82208 (217*2π)/9805 weeks
218-.87702 5.28144 (218*2π)/9804 weeks
219-3.47222 3.95769 (219*2π)/9804 weeks
220-5.24039 1.24384 (220*2π)/9804 weeks
221-4.85343 -1.20027 (221*2π)/9804 weeks
222-3.10326 -3.63854 (222*2π)/9804 weeks
223-.44487 -4.80631 (223*2π)/9804 weeks
2242.08614 -3.76131 (224*2π)/9804 weeks
2254.22108 -1.7699 (225*2π)/9804 weeks
2264.14225 .7599 (226*2π)/9804 weeks
2273.13214 3.52834 (227*2π)/9804 weeks
228.51729 4.59501 (228*2π)/9804 weeks
229-2.15786 3.96673 (229*2π)/9804 weeks
230-4.24259 2.26341 (230*2π)/9804 weeks
231-4.54332 .01298 (231*2π)/9804 weeks
232-3.75309 -2.71586 (232*2π)/9804 weeks
233-1.58684 -4.30296 (233*2π)/9804 weeks
234.67238 -3.97187 (234*2π)/9804 weeks
2352.73377 -2.6193 (235*2π)/9804 weeks
2363.61367 -.43751 (236*2π)/9804 weeks
2373.1573 2.3823 (237*2π)/9804 weeks
2381.87262 3.50474 (238*2π)/9804 weeks
239-1.00631 3.72365 (239*2π)/9804 weeks
240-2.94048 2.90369 (240*2π)/9804 weeks
241-3.34887 .89645 (241*2π)/9804 weeks
242-3.33884 -1.692 (242*2π)/9804 weeks
243-2.11717 -2.85392 (243*2π)/9804 weeks
244.07069 -3.26713 (244*2π)/9804 weeks
2451.37686 -2.75879 (245*2π)/9804 weeks
2462.12187 -1.27049 (246*2π)/9804 weeks
2472.18961 .97173 (247*2π)/9804 weeks
2481.65326 2.00021 (248*2π)/9804 weeks
249-.31091 2.41968 (249*2π)/9804 weeks
250-1.52721 2.3465 (250*2π)/9804 weeks
251-2.68036 1.01154 (251*2π)/9804 weeks
252-2.98377 -.81241 (252*2π)/9804 weeks
253-2.41009 -1.5376 (253*2π)/9804 weeks
254-.72089 -2.37813 (254*2π)/9804 weeks
255.57727 -2.55563 (255*2π)/9804 weeks
2561.64872 -1.52337 (256*2π)/9804 weeks
2572.07521 -.458 (257*2π)/9804 weeks
2582.00778 .47163 (258*2π)/9804 weeks
2591.25915 1.39627 (259*2π)/9804 weeks
260.02894 1.88681 (260*2π)/9804 weeks
261-1.01315 1.70825 (261*2π)/9804 weeks
262-2.01798 1.05089 (262*2π)/9804 weeks
263-2.44713 -.08026 (263*2π)/9804 weeks
264-2.18671 -1.19616 (264*2π)/9804 weeks
265-1.15246 -2.12654 (265*2π)/9804 weeks
266.16141 -2.81702 (266*2π)/9804 weeks
2671.50013 -2.14038 (267*2π)/9804 weeks
2682.55443 -.83373 (268*2π)/9804 weeks
2693.12641 .72373 (269*2π)/9804 weeks
2701.84932 2.1924 (270*2π)/9804 weeks
271.30744 2.95004 (271*2π)/9804 weeks
272-1.46718 2.60336 (272*2π)/9804 weeks
273-2.83305 1.12029 (273*2π)/9804 weeks
274-3.19042 -.46526 (274*2π)/9804 weeks
275-2.38038 -2.23846 (275*2π)/9804 weeks
276-.46817 -3.29379 (276*2π)/9804 weeks
277.86689 -3.36368 (277*2π)/9804 weeks
2782.29457 -2.17391 (278*2π)/9804 weeks
2793.23068 -.36716 (279*2π)/9804 weeks
2802.88899 1.46119 (280*2π)/9804 weeks
2811.69635 3.01926 (281*2π)/9803 weeks
282-.00477 3.51061 (282*2π)/9803 weeks
283-1.5705 2.97755 (283*2π)/9803 weeks
284-3.25566 1.76496 (284*2π)/9803 weeks
285-3.97442 -.49537 (285*2π)/9803 weeks
286-3.12064 -2.06417 (286*2π)/9803 weeks
287-1.4473 -3.54669 (287*2π)/9803 weeks
288.81667 -4.23001 (288*2π)/9803 weeks
2892.69659 -3.05929 (289*2π)/9803 weeks
2904.07113 -.81196 (290*2π)/9803 weeks
2913.87356 1.75802 (291*2π)/9803 weeks
2922.56988 3.96329 (292*2π)/9803 weeks
293-.071 4.85976 (293*2π)/9803 weeks
294-2.72124 4.39926 (294*2π)/9803 weeks
295-4.52042 2.48268 (295*2π)/9803 weeks
296-4.97815 -.4504 (296*2π)/9803 weeks
297-3.87744 -3.25942 (297*2π)/9803 weeks
298-1.61839 -4.75268 (298*2π)/9803 weeks
299.84688 -4.76078 (299*2π)/9803 weeks
3003.37973 -3.19524 (300*2π)/9803 weeks
3014.47315 -.83014 (301*2π)/9803 weeks
3023.95315 1.97913 (302*2π)/9803 weeks
3032.43282 3.87515 (303*2π)/9803 weeks
304-.13115 4.46143 (304*2π)/9803 weeks
305-2.58785 3.72819 (305*2π)/9803 weeks
306-4.27664 2.01831 (306*2π)/9803 weeks
307-4.28393 -.68108 (307*2π)/9803 weeks
308-3.3691 -2.90281 (308*2π)/9803 weeks
309-1.24602 -4.01977 (309*2π)/9803 weeks
3101.05363 -3.91671 (310*2π)/9803 weeks
3112.88267 -2.61981 (311*2π)/9803 weeks
3123.51642 -.47666 (312*2π)/9803 weeks
3133.22843 1.85378 (313*2π)/9803 weeks
3141.84006 3.1581 (314*2π)/9803 weeks
315-.1548 3.54846 (315*2π)/9803 weeks
316-2.01436 2.84252 (316*2π)/9803 weeks
317-3.05728 1.39287 (317*2π)/9803 weeks
318-3.15483 -.44854 (318*2π)/9803 weeks
319-2.21686 -1.90091 (319*2π)/9803 weeks
320-.81657 -2.67463 (320*2π)/9803 weeks
321.75425 -2.52005 (321*2π)/9803 weeks
3221.8257 -1.56851 (322*2π)/9803 weeks
3231.9655 -.31744 (323*2π)/9803 weeks
3241.56867 .91151 (324*2π)/9803 weeks
325.99133 1.56227 (325*2π)/9803 weeks
326-.15948 1.45956 (326*2π)/9803 weeks
327-1.25028 1.04918 (327*2π)/9803 weeks
328-1.52823 .6426 (328*2π)/9803 weeks
329-1.32878 -.07198 (329*2π)/9803 weeks
330-1.16731 -.87706 (330*2π)/9803 weeks
331-.58156 -.78068 (331*2π)/9803 weeks
332.12262 -.75281 (332*2π)/9803 weeks
333.64787 -.67141 (333*2π)/9803 weeks
334.65228 -.27793 (334*2π)/9803 weeks
335.41117 .13208 (335*2π)/9803 weeks
336.16426 .35657 (336*2π)/9803 weeks
337-.39837 .1893 (337*2π)/9803 weeks
338-.32821 .49873 (338*2π)/9803 weeks
339-.40277 .09944 (339*2π)/9803 weeks
340-.11354 -.26513 (340*2π)/9803 weeks
341.00894 -.19843 (341*2π)/9803 weeks
342.00916 .06551 (342*2π)/9803 weeks
343.22168 -.00595 (343*2π)/9803 weeks
344-.41685 .22018 (344*2π)/9803 weeks
345-.51985 .139 (345*2π)/9803 weeks
346-.40738 .34849 (346*2π)/9803 weeks
347-.35739 -.19928 (347*2π)/9803 weeks
348-.51688 -.10117 (348*2π)/9803 weeks
349-.22406 .13745 (349*2π)/9803 weeks
350-.31771 -.22318 (350*2π)/9803 weeks
351-.24834 -.31374 (351*2π)/9803 weeks
352-.00653 -.44578 (352*2π)/9803 weeks
353.48084 -.42602 (353*2π)/9803 weeks
354.44168 -.22621 (354*2π)/9803 weeks
355.64506 .3352 (355*2π)/9803 weeks
356.55516 .68469 (356*2π)/9803 weeks
357.31394 .87809 (357*2π)/9803 weeks
358-.61784 .87599 (358*2π)/9803 weeks
359-1.03201 .84646 (359*2π)/9803 weeks
360-.89162 .01269 (360*2π)/9803 weeks
361-1.14237 -.81308 (361*2π)/9803 weeks
362-.53072 -1.26747 (362*2π)/9803 weeks
363.3015 -1.30966 (363*2π)/9803 weeks
3641.02808 -1.25622 (364*2π)/9803 weeks
3651.18058 -.54925 (365*2π)/9803 weeks
3661.25045 .26716 (366*2π)/9803 weeks
367.97177 1.2871 (367*2π)/9803 weeks
368.22549 1.69466 (368*2π)/9803 weeks
369-.7689 2.08235 (369*2π)/9803 weeks
370-1.80359 1.1949 (370*2π)/9803 weeks
371-2.14464 .12901 (371*2π)/9803 weeks
372-1.995 -1.26939 (372*2π)/9803 weeks
373-1.1405 -2.13028 (373*2π)/9803 weeks
374.46021 -2.33219 (374*2π)/9803 weeks
3751.46817 -1.61649 (375*2π)/9803 weeks
3762.01798 -.35153 (376*2π)/9803 weeks
3772.0989 .99191 (377*2π)/9803 weeks
3781.19656 1.8781 (378*2π)/9803 weeks
379-.23516 2.36315 (379*2π)/9803 weeks
380-1.3956 1.59391 (380*2π)/9803 weeks
381-2.22735 .50868 (381*2π)/9803 weeks
382-2.26371 -.54379 (382*2π)/9803 weeks
383-1.40826 -1.42448 (383*2π)/9803 weeks
384-.55688 -1.69997 (384*2π)/9803 weeks
385.49234 -1.54052 (385*2π)/9803 weeks
3861.1111 -.76013 (386*2π)/9803 weeks
3871.52864 .04987 (387*2π)/9803 weeks
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