result:

Angle(deg)    Period(s)
1      2.00771818182
2      2.00782727273
3      2.008
4      2.0083
5      2.00862727273
6      2.009
7      2.00955454545
8      2.01012727273
9      2.01081818182
10      2.0115
11      2.01232727273
12      2.01318181818
13      2.01413636364
14      2.01518181818
15      2.01632727273
16      2.0175
17      2.01881818182
18      2.02012727273
19      2.02155454545
20      2.02304545455
21      2.02465454545
22      2.02632727273
23      2.02808181818
24      2.02995454545
25      2.03184545455
26      2.03382727273
27      2.03595454545
28      2.038
29      2.0403
30      2.04262727273
31      2.045
32      2.04753636364
33      2.05010909091
34      2.05281818182
35      2.0555
36      2.05835454545
37      2.0613
38      2.0643
39      2.06741818182
40      2.07062727273
41      2.07395454545
42      2.07723636364
43      2.08071818182
44      2.0843
45      2.08795454545
46      2.0917
47      2.0955
48      2.09945454545
49      2.1035
50      2.10762727273
51      2.11187272727
52      2.11618181818
53      2.12062727273
54      2.12513636364
55      2.12981818182
56      2.13455454545
57      2.1394
58      2.14435454545
59      2.14945454545
60      2.15462727273
61      2.15995454545
62      2.1653
63      2.17082727273
64      2.17645454545
65      2.18218181818
66      2.188
67      2.194
68      2.20013636364
69      2.2064
70      2.21277272727
71      2.21923636364
72      2.22587272727
73      2.23262727273
74      2.2395
75      2.2465
76      2.25365454545
77      2.26095454545
78      2.26841818182
79      2.276
80      2.28371818182
81      2.29162727273
82      2.29962727273
83      2.30782727273
84      2.31618181818
85      2.3247
86      2.33335454545
87      2.34221818182
88      2.35121818182
89      2.3604
90      2.36973636364