expected_roots = np.array(find_roots(fR_range, bessel_y))
R_known = np.deg2rad(0.26)
expected_freqs = expected_roots / R_known
# plt.plot(moon["t"], moon["volts"])
minima_spots = [(7000, 11000)]
obs_zeros = []
plottypairs = []
for start, end in minima_spots:
# Cut out a small window around the guessed envelope
# fit a quadratic to find minima
(C1, C2, C3), Y_, s2, cov = fit_components(moon["ha"][start: end], moon.envelope(50)[start:end],
lambda ha: ha ** 2,
lambda ha: ha,
lambda ha: 1,
)
plottypairs.append((moon["ha"][start:end], Y_))
vertex = -C2 / (2. * C1)
obs_zeros.append(vertex)
'''
_, aa = zip(*sorted(zip(b, a)))
min_ha = aa[0]
obs_zeros.append(min_ha)
print "found", min_ha
plottypairs.append((a, b))
'''
print "found", vertex
plt.subplot(212)
trans = np.fft.fft(crab["volts"])
freqs = np.fft.fftfreq(len(trans), 2.*np.pi * 1.0 / 86164.)
plt.plot(np.fft.fftshift(freqs), np.fft.fftshift(abs(trans)**2))
plt.xlabel(r"Frequency [rad$^{-1}$]", fontsize=18)
plt.ylabel(r"Power", fontsize=18)
decs_to_try = np.arange(catalog_dec - np.deg2rad(10.0), catalog_dec + np.deg2rad(10.0), np.deg2rad(0.01))
s2s = []
Y_s = []
a1s = []
for dec in decs_to_try:
# print "trying %s out of %s" % (dec, len(decs_to_try))
a, Y_, s2, cov = fit_components(crab["ha"], crab.normed, # crab["volts"],
lambda ha: np.cos(2*np.pi*(B/wl) * np.cos(dec) * np.sin(2.*np.pi*ha/24.)),
lambda ha: - np.sin(2*np.pi*(B/wl) * np.cos(dec) * np.sin(2.*np.pi*ha/24.))
)
s2s.append(s2)
Y_s.append(Y_)
a1s.append(a)
a1 = a1s[np.argmin(s2s)]
measured_dec = decs_to_try[np.argmin(s2s)]
plt.figure()
plt.plot(np.rad2deg(decs_to_try), s2s, linewidth=2)
plt.xlabel(r"$\delta$ [deg]", fontsize=18)
plt.ylabel(r"$\chi^2$", fontsize=18)
s2s2 = []