def test_mee_coe_mee(self):
mee = convert.mod_angles(convert.mee_coe(coe_sltn))
coe = convert.coe_mee(mee)
mee2 = convert.mod_angles(convert.mee_coe(coe))
diff = convert.mod_angles(np.abs(mee - mee2), angle_indices=[5])
indices_2pi = np.where(2 * np.pi - tol < diff)
diff[indices_2pi] -= 2 * np.pi
np.testing.assert_allclose(diff, 0., rtol=0, atol=tol)
def test_compare_meeEl_meefl_to_coeE_coef(self):
coef = convert.mod_angles(coe_sltn)
meefl = convert.mee_coe(coef)
coeE = convert.coeE_coef(coef)
meeEl = convert.meeEl_meefl(meefl)
El1 = convert.mee_coe(coeE)[:, 5:]
El2 = meeEl[:, 5:]
diff = convert.mod_angles(El1 - El2, angle_indices=[0])
indices_2pi = np.where(2 * np.pi - tol < diff)
diff[indices_2pi] -= 2 * np.pi
np.testing.assert_allclose(diff, 0., rtol=0, atol=tol)
def test_compare_meefl_meeEl_to_coef_coeE(self):
coeE = convert.mod_angles(coe_sltn)
meeEl = convert.mee_coe(coeE)
coef = convert.coef_coeE(coeE)
meefl = convert.meefl_meeEl(meeEl)
fl1 = convert.mee_coe(coef)[:, 5:]
fl2 = meefl[:, 5:]
diff = convert.mod_angles(np.abs(fl1 - fl2), angle_indices=[0])
indices_2pi = np.where(2 * np.pi - tol < diff)
diff[indices_2pi] -= 2 * np.pi
np.testing.assert_allclose(diff, 0., rtol=0, atol=tol)
def test_rv_mee_rv(self):
mee = convert.mod_angles(convert.mee_coe(coe_sltn))
rv = convert.rv_mee(mee)
mee = convert.mee_rv(rv)
rv2 = convert.rv_mee(mee)
np.testing.assert_allclose(rv, rv2, rtol=0, atol=tol)
def test_meefl_meeMl_meefl(self):
meefl = convert.mod_angles(convert.mee_coe(coe_sltn))
meeMl = convert.meeMl_meefl(meefl)
meefl2 = convert.mod_angles(convert.meefl_meeMl(meeMl))
diff = convert.mod_angles(np.abs(meefl - meefl2), angle_indices=[0])
indices_2pi = np.where(2 * np.pi - tol < diff)
diff[indices_2pi] -= 2 * np.pi
np.testing.assert_allclose(diff, 0., rtol=0, atol=tol)
def test_mee_meeMl0_mee(self):
T = np.linspace(0, 10, num=m)
mee = convert.mod_angles(convert.mee_coe(coe_sltn))
meeMl0 = convert.meeMl0_mee(T, mee)
mee2 = convert.mod_angles(convert.mee_meeMl0(T, meeMl0))
diff = convert.mod_angles(np.abs(mee - mee2), angle_indices=[5])
indices_2pi = np.where(2 * np.pi - tol < diff)
diff[indices_2pi] -= 2 * np.pi
np.testing.assert_allclose(diff, 0., rtol=0, atol=tol)
m = 1000
tol = 1e-14
# INITIAL CONDITIONS
mu = 1.0
a_0 = 8000. * DU
e_0 = 0.1
i_0 = 10. * np.pi / 180.
W_0 = 10. * np.pi / 180.
w_0 = 10. * np.pi / 180.
f_0 = 10. * np.pi / 180.
period = 2. * np.pi * (a_0**3 / mu)**.5
coe_0 = np.array([[a_0, e_0, i_0, W_0, w_0, f_0]])
rv_0 = convert.rv_coe(coe_0)
mee_0 = convert.mee_coe(coe_0)
T = np.linspace(0, 10, num=m).reshape((m, 1))
meeMl0_0 = convert.meeMl0_mee(T[0:1], mee_0)
coe_sltn = coe.KeplerianSolution(coe_0)(T)
orbits = math.ceil(T[-1] / period)
segs_per_orbit = 3
order_mcpi = 60
class TestRV(unittest.TestCase):
def test_hamiltonian_constant(self):
X0 = rv_0
X = np.tile(X0, (m, 1))