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test.py
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test.py
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"""UnitTest classes for testing orbital_elements classes."""
import unittest
import numpy as np
import math
import mcpyi
import orbital_elements.utilities as utl
import orbital_elements.pose as pose
import orbital_elements.convert as convert
import orbital_elements.rv as rv
import orbital_elements.coe as coe
import orbital_elements.mee as mee
import orbital_elements.meeMl0 as meeMl0
__author__ = "Nathan I. Budd"
__email__ = "[email protected]"
__copyright__ = "Copyright 2017, LASR Lab"
__license__ = "MIT"
__version__ = "0.1"
__status__ = "Production"
__date__ = "02 Mar 2017"
DU = 1/6378.137 # DU/km (Earth Radius)
TU = 1/806.811 # TU/s
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))
T = np.zeros((m, 1))
order = 6
H = rv.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_hamiltonian_solution(self):
X0 = rv_0
X = rv.KeplerianSolution(X0)(T)
order = 1
H = rv.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_dynamics_to_solution(self):
X0 = rv_0
Xsol = rv.KeplerianSolution(X0)(T)
kep_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
Xdyn = mcpi.solve_serial()(T)
np.testing.assert_allclose(Xsol, Xdyn, rtol=0, atol=tol*10)
def test_hamiltonian_dynamics(self):
X0 = rv_0
kep_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
order_H = 1
H = rv.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_zonal_gravity(self):
X0 = rv_0
order_H = 6
kep_dyn = rv.KeplerianDynamics()
zon_grav = rv.ZonalGravity(order=order_H)
system = utl.SystemDynamics(kep_dyn, zon_grav)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(system, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
H = rv.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_zonal_round_trip(self):
X0_forward = rv_0
order_H = 6
kep_dyn_forward = rv.KeplerianDynamics()
zon_grav = rv.ZonalGravity(order=order_H)
sysfor = utl.SystemDynamics(kep_dyn_forward, zon_grav)
segments = orbits * segs_per_orbit
domains_for = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains_for) - 1
N = (order_mcpi,) * seg_number
mcpi_forward = mcpyi.MCPI(sysfor, domains_for, N, 'warm', X0_forward,
tol)
T_for = T
X_for = mcpi_forward.solve_serial()(T_for)
X0_bckward = X_for[-1:]
kep_dyn_bckward = rv.KeplerianDynamics()
sysbck = utl.SystemDynamics(kep_dyn_bckward, zon_grav)
domains_bck = [-x for x in domains_for]
mcpi_bckward = mcpyi.MCPI(sysbck, domains_bck, N, 'warm', X0_bckward,
tol)
T_bck = np.linspace(0, -10, num=m).reshape((m, 1))
X_bck = mcpi_bckward.solve_serial()(T_bck)
np.testing.assert_allclose(X0_forward, X_bck[-1:], rtol=0, atol=tol*10)
class TestCOE(unittest.TestCase):
def test_hamiltonian_constant(self):
X0 = coe_0
X = np.tile(X0, (m, 1))
T = np.zeros((m, 1))
order = 6
H = coe.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_hamiltonian_solution(self):
X0 = coe_0
X = coe.KeplerianSolution(X0)(T)
order = 1
H = coe.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_keplerian_to_rv(self):
X0_coe = coe_0
X0_rv = rv_0
X_coe = coe.KeplerianSolution(X0_coe)(T)
kep_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0_rv, tol)
X_rv = mcpi.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_coe(X_coe), rtol=0,
atol=tol*10)
def test_compare_dynamics_to_solution(self):
X0 = rv_0
Xsol = rv.KeplerianSolution(X0)(T)
kep_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
Xdyn = mcpi.solve_serial()(T)
np.testing.assert_allclose(Xsol, Xdyn, rtol=0, atol=tol*10)
def test_hamiltonian_dynamics(self):
X0 = coe_0
kep_dyn = coe.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
order_H = 1
H = coe.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_dynamics_to_rv(self):
X0_coe = coe_0
X0_rv = rv_0
coe_dyn = coe.KeplerianDynamics()
rv_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_coe = mcpyi.MCPI(coe_dyn, domains, N, 'warm', X0_coe, tol)
mcpi_rv = mcpyi.MCPI(rv_dyn, domains, N, 'warm', X0_rv, tol)
X_coe = mcpi_coe.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_coe(X_coe), rtol=0,
atol=1e-13)
def test_zonal_gravity(self):
X0 = coe_0
order_H = 6
kep_dyn = coe.KeplerianDynamics()
zon_grav = coe.ZonalGravity(order=order_H)
system = utl.SystemDynamics(kep_dyn, perturbations=zon_grav)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(system, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
H = coe.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_zonal_to_rv(self):
X0_coe = coe_0
X0_rv = rv_0
order_H = 6
kep_dyn_coe = coe.KeplerianDynamics()
zon_grav_coe = coe.ZonalGravity(order=order_H)
syscoe = utl.SystemDynamics(kep_dyn_coe, zon_grav_coe)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
sysrv = utl.SystemDynamics(kep_dyn_rv, zon_grav_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_coe = mcpyi.MCPI(syscoe, domains, N, 'warm', X0_coe, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_coe = mcpi_coe.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_coe(X_coe), rtol=0,
atol=tol*10)
def test_compare_a_eci_to_rv(self):
X0_coe = coe_0
X0_rv = rv_0
order_H = 6
kep_dyn_coe = coe.KeplerianDynamics()
zon_grav_coe = coe.ZonalGravity(order=order_H)
syscoe = utl.SystemDynamics(kep_dyn_coe, zon_grav_coe)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
sysrv = utl.SystemDynamics(kep_dyn_rv, zon_grav_rv)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_coe = mcpyi.MCPI(syscoe, domains, N, 'warm', X0_coe, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
mcpi_coe.solve_serial()(T)
mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(zon_grav_coe.a_eci, zon_grav_rv.a_eci,
rtol=0, atol=tol)
def test_compare_constant_thrust_to_rv(self):
X0_coe = coe_0
X0_rv = rv_0
u = np.array([[0., 1e-6, 0.]])
kep_dyn_coe = coe.KeplerianDynamics()
conthrust_coe = coe.ConstantThrust(u)
syscoe = utl.SystemDynamics(kep_dyn_coe, conthrust_coe)
kep_dyn_rv = rv.KeplerianDynamics()
conthrust_rv = rv.ConstantThrust(u)
sysrv = utl.SystemDynamics(kep_dyn_rv, conthrust_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_coe = mcpyi.MCPI(syscoe, domains, N, 'warm', X0_coe, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_coe = mcpi_coe.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_coe(X_coe), rtol=0,
atol=tol*10)
class TestMEE(unittest.TestCase):
def test_hamiltonian_constant(self):
X0 = mee_0
X = np.tile(X0, (m, 1))
T = np.zeros((m, 1))
order = 6
H = mee.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_hamiltonian_solution(self):
X0 = mee_0
X = mee.KeplerianSolution(X0)(T)
order = 1
H = mee.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_keplerian_to_rv(self):
X0_mee = mee_0
X0_rv = rv_0
X_mee = mee.KeplerianSolution(X0_mee)(T)
X_rv = rv.KeplerianSolution(X0_rv)(T)
np.testing.assert_allclose(X_mee, convert.mee_rv(X_rv), rtol=0,
atol=tol*10)
def test_hamiltonian_dynamics(self):
X0 = mee_0
kep_dyn = mee.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
order_H = 1
H = mee.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_dynamics_to_rv(self):
X0_mee = mee_0
X0_rv = rv_0
mee_dyn = mee.KeplerianDynamics()
rv_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_mee = mcpyi.MCPI(mee_dyn, domains, N, 'warm', X0_mee, tol)
mcpi_rv = mcpyi.MCPI(rv_dyn, domains, N, 'warm', X0_rv, tol)
X_mee = mcpi_mee.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_mee(X_mee), rtol=0,
atol=tol*10)
def test_zonal_gravity(self):
X0 = mee_0
order_H = 6
kep_dyn = mee.KeplerianDynamics()
zon_grav = mee.ZonalGravity(order=order_H)
system = utl.SystemDynamics(kep_dyn, perturbations=zon_grav)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(system, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
H = mee.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=0, atol=tol*10)
def test_compare_zonal_to_rv(self):
X0_mee = mee_0
X0_rv = rv_0
order_H = 6
kep_dyn_mee = mee.KeplerianDynamics()
zon_grav_mee = mee.ZonalGravity(order=order_H)
sysmee = utl.SystemDynamics(kep_dyn_mee, zon_grav_mee)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
sysrv = utl.SystemDynamics(kep_dyn_rv, zon_grav_rv)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_mee = mcpyi.MCPI(sysmee, domains, N, 'warm', X0_mee, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_mee = mcpi_mee.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_mee(X_mee), rtol=0,
atol=tol*10)
def test_compare_a_eci_to_rv(self):
X0_mee = mee_0
X0_rv = rv_0
order_H = 6
kep_dyn_mee = mee.KeplerianDynamics()
zon_grav_mee = mee.ZonalGravity(order=order_H)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_mee = mcpyi.MCPI(kep_dyn_mee, domains, N, 'warm', X0_mee, tol)
mcpi_rv = mcpyi.MCPI(kep_dyn_rv, domains, N, 'warm', X0_rv, tol)
X_mee = mcpi_mee.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
zon_grav_mee.eci_acceleration(T, convert.rv_mee(X_mee))
zon_grav_rv.eci_acceleration(T, X_rv)
np.testing.assert_allclose(zon_grav_mee.a_eci, zon_grav_rv.a_eci,
rtol=0, atol=tol)
def test_compare_zonal_to_coe(self):
X0_mee = mee_0
X0_coe = coe_0
order_H = 6
kep_dyn_mee = mee.KeplerianDynamics()
zon_grav_mee = mee.ZonalGravity(order=order_H)
sysmee = utl.SystemDynamics(kep_dyn_mee, zon_grav_mee)
kep_dyn_coe = coe.KeplerianDynamics()
zon_grav_coe = coe.ZonalGravity(order=order_H)
syscoe = utl.SystemDynamics(kep_dyn_coe, zon_grav_coe)
segs_per_orbit = 6
orbits = 1
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_mee = mcpyi.MCPI(sysmee, domains, N, 'warm', X0_mee, tol)
mcpi_coe = mcpyi.MCPI(syscoe, domains, N, 'warm', X0_coe, tol)
X_mee = mcpi_mee.solve_serial()(T)
X_coe = mcpi_coe.solve_serial()(T)
diff = convert.mod_angles(np.abs(X_coe-convert.coe_mee(X_mee)))
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_constant_thrust_to_rv(self):
X0_mee = mee_0
X0_rv = rv_0
u = np.array([[1e-6, 1e-6, 1e-6]])
kep_dyn_mee = mee.KeplerianDynamics()
conthrust_mee = mee.ConstantThrust(u)
sysmee = utl.SystemDynamics(kep_dyn_mee, conthrust_mee)
kep_dyn_rv = rv.KeplerianDynamics()
conthrust_rv = rv.ConstantThrust(u)
sysrv = utl.SystemDynamics(kep_dyn_rv, conthrust_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_mee = mcpyi.MCPI(sysmee, domains, N, 'warm', X0_mee, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_mee = mcpi_mee.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(X_rv, convert.rv_mee(X_mee), rtol=0,
atol=tol*10)
class TestMEEMl0(unittest.TestCase):
def test_hamiltonian_constant(self):
X0 = meeMl0_0
X = np.tile(X0, (m, 1))
T = np.zeros((m, 1))
order = 6
H = meeMl0.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_hamiltonian_solution(self):
X0 = meeMl0_0
X = meeMl0.KeplerianSolution(X0)(T)
order = 1
H = meeMl0.Hamiltonian(order=order)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_keplerian_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
X_meeMl0 = meeMl0.KeplerianSolution(X0_meeMl0)(T)
X_rv = rv.KeplerianSolution(X0_rv)(T)
np.testing.assert_allclose(
convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0)),
X_rv, rtol=0, atol=tol*10
)
def test_hamiltonian_dynamics(self):
X0 = meeMl0_0
kep_dyn = meeMl0.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(kep_dyn, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
order_H = 1
H = meeMl0.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=tol)
def test_compare_dynamics_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
meeMl0_dyn = meeMl0.KeplerianDynamics()
rv_dyn = rv.KeplerianDynamics()
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(meeMl0_dyn, domains, N, 'warm', X0_meeMl0,
tol)
mcpi_rv = mcpyi.MCPI(rv_dyn, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(
X_rv,
convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0)),
rtol=0, atol=tol*10)
def test_compare_a_eci_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
order_H = 6
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
zon_grav_meeMl0 = meeMl0.ZonalGravity(order=order_H)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(kep_dyn_meeMl0, domains, N, 'warm', X0_meeMl0,
tol)
mcpi_rv = mcpyi.MCPI(kep_dyn_rv, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
zon_grav_meeMl0.eci_acceleration(
T, convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0))
)
zon_grav_rv.eci_acceleration(T, X_rv)
np.testing.assert_allclose(zon_grav_meeMl0.a_eci, zon_grav_rv.a_eci,
rtol=0, atol=tol)
def test_compare_constant_h_thrust_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
u = np.array([[0., 0., 1e-6]])
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
conthrust_meeMl0 = meeMl0.ConstantThrust(u)
sysmeeMl0 = utl.SystemDynamics(kep_dyn_meeMl0, conthrust_meeMl0)
kep_dyn_rv = rv.KeplerianDynamics()
conthrust_rv = rv.ConstantThrust(u)
sysrv = utl.SystemDynamics(kep_dyn_rv, conthrust_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(sysmeeMl0, domains, N, 'warm', X0_meeMl0, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
diff = convert.mod_angles(X_meeMl0 -
convert.meeMl0_mee(T, convert.mee_rv(X_rv)))
np.testing.assert_allclose(diff, 0.0, rtol=0, atol=tol*10)
def test_compare_constant_r_thrust_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
u = np.array([[1e-6, 0., 0.]])
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
conthrust_meeMl0 = meeMl0.ConstantThrust(u)
sysmeeMl0 = utl.SystemDynamics(kep_dyn_meeMl0, conthrust_meeMl0)
kep_dyn_rv = rv.KeplerianDynamics()
conthrust_rv = rv.ConstantThrust(u)
sysrv = utl.SystemDynamics(kep_dyn_rv, conthrust_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(sysmeeMl0, domains, N, 'warm', X0_meeMl0, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(
X_rv,
convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0)),
rtol=0, atol=tol)
def test_compare_constant_theta_thrust_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
u = np.array([[0., 1e-6, 0.]])
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
conthrust_meeMl0 = meeMl0.ConstantThrust(u)
sysmeeMl0 = utl.SystemDynamics(kep_dyn_meeMl0, conthrust_meeMl0)
kep_dyn_rv = rv.KeplerianDynamics()
conthrust_rv = rv.ConstantThrust(u)
sysrv = utl.SystemDynamics(kep_dyn_rv, conthrust_rv)
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(sysmeeMl0, domains, N, 'warm', X0_meeMl0, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(
X_rv,
convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0)),
rtol=0, atol=tol*10)
def test_compare_zonal_to_mee(self):
X0_meeMl0 = meeMl0_0
X0_mee = mee_0
order_H = 6
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
zon_grav_meeMl0 = meeMl0.ZonalGravity(order=order_H)
sysmeeMl0 = utl.SystemDynamics(kep_dyn_meeMl0, zon_grav_meeMl0)
kep_dyn_mee = mee.KeplerianDynamics()
zon_grav_mee = mee.ZonalGravity(order=order_H)
sysmee = utl.SystemDynamics(kep_dyn_mee, zon_grav_mee)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(sysmeeMl0, domains, N, 'warm', X0_meeMl0, tol)
mcpi_mee = mcpyi.MCPI(sysmee, domains, N, 'warm', X0_mee, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_mee = mcpi_mee.solve_serial()(T)
diff = convert.mod_angles(X_mee - convert.mee_meeMl0(T, X_meeMl0))
np.testing.assert_allclose(diff, 0.0, rtol=0, atol=tol*10)
def test_zonal_gravity(self):
X0 = meeMl0_0
order_H = 6
kep_dyn = meeMl0.KeplerianDynamics()
zon_grav = meeMl0.ZonalGravity(order=order_H)
system = utl.SystemDynamics(kep_dyn, perturbations=zon_grav)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi = mcpyi.MCPI(system, domains, N, 'warm', X0, tol)
X = mcpi.solve_serial()(T)
H = meeMl0.Hamiltonian(order=order_H)(T, X)
np.testing.assert_allclose(H[0, 0], H, rtol=0, atol=tol*10)
def test_compare_zonal_to_rv(self):
X0_meeMl0 = meeMl0_0
X0_rv = rv_0
order_H = 6
kep_dyn_meeMl0 = meeMl0.KeplerianDynamics()
zon_grav_meeMl0 = meeMl0.ZonalGravity(order=order_H)
sysmeeMl0 = utl.SystemDynamics(kep_dyn_meeMl0, zon_grav_meeMl0)
kep_dyn_rv = rv.KeplerianDynamics()
zon_grav_rv = rv.ZonalGravity(order=order_H)
sysrv = utl.SystemDynamics(kep_dyn_rv, zon_grav_rv)
segs_per_orbit = 6
segments = orbits * segs_per_orbit
domains = [k*period/segs_per_orbit for k in range(segments+1)]
seg_number = len(domains) - 1
N = (order_mcpi,) * seg_number
mcpi_meeMl0 = mcpyi.MCPI(sysmeeMl0, domains, N, 'warm', X0_meeMl0, tol)
mcpi_rv = mcpyi.MCPI(sysrv, domains, N, 'warm', X0_rv, tol)
X_meeMl0 = mcpi_meeMl0.solve_serial()(T)
X_rv = mcpi_rv.solve_serial()(T)
np.testing.assert_allclose(
X_rv,
convert.rv_mee(convert.mee_meeMl0(T, X_meeMl0)),
rtol=0, atol=tol*10)
def test_dgve_dlmnts_dpdot_dp(self):
X0_meeMl0 = meeMl0_0
T0 = T[0:1]
a_d = np.array([[0, 1, 0]])
dG_dX = meeMl0.dGVE_dLMNTS(h=1e-7)(T0, X0_meeMl0, a_d)
p = mee_0[0, 0]
f = mee_0[0, 1]
g = mee_0[0, 2]
L = mee_0[0, 5]
dpdot_dp = (3 * p**.5 / mu**.5 / (1 + f*np.cos(L) + g*np.sin(L)) *
a_d[0, 1])
np.testing.assert_allclose(dG_dX[0, 0, 0], dpdot_dp,
rtol=0, atol=1e-5)
class TestPose(unittest.TestCase):
def test_single_dcm(self):
axes = [1]
angles = np.array([[1]])
dcm = pose.euler_angles(axes, angles)
self.assertEqual(dcm.shape, (1, 3, 3))
def test_313_rotation(self):
axes = [3, 1, 3]
angles = np.array([[1, 1.5, 2]])
dcm = pose.euler_angles(axes, angles)
self.assertEqual(dcm.shape, (1, 3, 3))
class TestConvert(unittest.TestCase):
def test_coef_coeE_coef(self):
coef = convert.mod_angles(coe_sltn)
coeE = convert.coeE_coef(coef)
coef2 = convert.mod_angles(convert.coef_coeE(coeE))
diff = convert.mod_angles(np.abs(coef-coef2), 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_coeE_coef_coeE(self):
coeE = convert.mod_angles(convert.coeE_coef(coe_sltn))
coef = convert.coef_coeE(coeE)
coeE2 = convert.mod_angles(convert.coeE_coef(coef))
diff = convert.mod_angles(np.abs(coeE-coeE2), 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_coeE_coeM_coeE(self):
coeE = convert.mod_angles(convert.coeE_coef(coe_sltn))
coeM = convert.coeM_coeE(coeE)
coeE2 = convert.mod_angles(convert.coeE_coeM(coeM))
diff = convert.mod_angles(np.abs(coeE-coeE2), 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_coeM_coeE_coeM(self):
coeE = convert.coeE_coef(coe_sltn)
coeM = convert.mod_angles(convert.coeM_coeE(coeE))
coeE = convert.coeE_coeM(coeM)
coeM2 = convert.mod_angles(convert.coeM_coeE(coeE))
diff = convert.mod_angles(np.abs(coeM-coeM2), 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_coef_coeM_coef(self):
coef = convert.mod_angles(coe_sltn)
coeM = convert.coeM_coef(coef)
coef2 = convert.mod_angles(convert.coef_coeM(coeM))
diff = convert.mod_angles(np.abs(coef-coef2), 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_coeM_coef_coeM(self):
coeM = convert.mod_angles(convert.coeM_coef(coe_sltn))
coef = convert.coef_coeM(coeM)
coeM2 = convert.mod_angles(convert.coeM_coef(coef))
diff = convert.mod_angles(np.abs(coeM-coeM2), 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_coe_mee_coe(self):
coe = convert.mod_angles(coe_sltn)
mee = convert.mee_coe(coe)
coe2 = convert.mod_angles(convert.coe_mee(mee))
diff = convert.mod_angles(np.abs(coe-coe2), angle_indices=[2, 3, 4, 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_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_mee_rv_mee(self):
mee = convert.mod_angles(convert.mee_coe(coe_sltn))
rv = convert.rv_mee(mee)
mee2 = convert.mod_angles(convert.mee_rv(rv))
np.testing.assert_allclose(mee, mee2, 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_coe_rv_coe(self):
coe = coe_sltn
rv = convert.rv_coe(coe)
coe2 = convert.coe_rv(rv)
diff = convert.mod_angles(np.abs(coe-coe2), angle_indices=[2, 3, 4, 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*10)
def test_rv_coe_rv(self):
rv = convert.rv_coe(coe_sltn)
coe = convert.coe_rv(rv)
rv2 = convert.rv_coe(coe)
np.testing.assert_allclose(rv, rv2, rtol=0, atol=tol)
def test_meeEl_meeMl_meeEl(self):
meeEl = convert.mod_angles(convert.mee_coe(coe_sltn))
meeMl = convert.meeMl_meeEl(meeEl)
meeEl2 = convert.mod_angles(convert.meeEl_meeMl(meeMl))
diff = convert.mod_angles(np.abs(meeEl-meeEl2),
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_meeMl_meeEl_meeMl(self):
meeEl = convert.mod_angles(convert.mee_coe(coe_sltn))
meeMl = convert.mod_angles(convert.meeMl_meeEl(meeEl))
meeEl = convert.meeEl_meeMl(meeMl)
meeMl2 = convert.mod_angles(convert.meeMl_meeEl(meeEl))
diff = convert.mod_angles(np.abs(meeMl-meeMl2), 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_meeEl_meefl_meeEl(self):
meeEl = convert.mod_angles(convert.mee_coe(coe_sltn))
meefl = convert.meefl_meeEl(meeEl)
meeEl2 = convert.mod_angles(convert.meeEl_meefl(meefl))
diff = convert.mod_angles(np.abs(meeEl-meeEl2),
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_meefl_meeEl_meefl(self):
meeEl = convert.mod_angles(convert.mee_coe(coe_sltn))
meefl = convert.mod_angles(convert.meefl_meeEl(meeEl))
meeEl = convert.meeEl_meefl(meefl)
meefl2 = convert.mod_angles(convert.meefl_meeEl(meeEl))
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_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_meeMl_meefl_meeMl(self):
meefl = convert.mod_angles(convert.mee_coe(coe_sltn))
meeMl = convert.mod_angles(convert.meeMl_meefl(meefl))
meefl = convert.meefl_meeMl(meeMl)
meeMl2 = convert.mod_angles(convert.meeMl_meefl(meefl))
diff = convert.mod_angles(np.abs(meeMl-meeMl2), 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_meeMl_meeEl_to_coeM_coeE(self):
coeE = convert.mod_angles(coe_sltn)