"phi minimum v time
0.000000           0.0000304406955
0.300000           0.0000000000000
0.600000           0.0000000000000
0.900000          -0.0034952304448
1.200000          -0.0411412316017
1.500000          -0.0865047825206
1.800000          -0.1010058501545
2.100000          -0.1666804619982
2.400000          -0.1802317429085
2.700000          -0.2439154012747
3.000000          -0.2631246679902