def prop2b(x, v, dt):
state_in = np.hstack((x, v))
#print(state_in)
state_out = sp.prop2b(cnst.GM, state_in, dt)
#print(state_out)
# print(state_out)
return state_out
def propagate_arrows_2body(x, v, t, tp):
""" Propagate arrows to the same time using spicepy's 2body propagation.
Parameters:
-----------
x ... array of 3D positions
v ... array of 3D velocities
t ... array of epochs for states (x,v)
tp ... epoch to propagate state to
Returns:
--------
xp ... array of propagated 3D positions
vp ... array of propagated 3D velocities
dt ... array of time deltas wrt the propatation epoch: tp-t
"""
dt = np.array(tp - t)
# Gaussian Gravitational Constant [au^1.5/Msun^0.5/D]
gaussk = 0.01720209894846
# default gravitational parameter [Gaussian units]
gm = gaussk * gaussk
if (x.ndim == 1):
state = sp.prop2b(gm, np.hstack((x, v)), dt)
xp = state[0:3]
vp = state[3:6]
elif (x.ndim == 2):
lenx = len(x[:, 0])
dimx = len(x[0, :])
dimv = len(v[0, :])
try:
assert (dimx == dimv)
except (TypeError):
raise TypeError
xp = []
xp_add = xp.append
vp = []
vp_add = vp.append
for i in range(lenx):
state = sp.prop2b(gm, np.hstack((x[i, :], v[i, :])), dt[i])
xp_add(state[0:3])
vp_add(state[3:6])
return np.array(xp), np.array(vp), dt
def test_propagateUniversal():
"""
Read the test dataset for the initial state vectors of each target at t1, then propagate
those states to all t1 using THOR's 2-body propagator and SPICE's 2-body propagator (via spiceypy).
Compare the resulting states and test how well they agree.
"""
getSPICEKernels(KERNELS_DE430)
setupSPICE(KERNELS_DE430, force=True)
# Read vectors from test data set
vectors_df = pd.read_csv(
os.path.join(DATA_DIR, "vectors.csv")
)
# Get the target names
targets = vectors_df["targetname"].unique()
# Get the initial epochs
t0 = Time(
vectors_df["mjd_tdb"].values,
scale="tdb",
format="mjd"
)
# Set propagation epochs
t1 = t0[0] + DT
# Pull state vectors
vectors = vectors_df[["x", "y", "z", "vx", "vy", "vz"]].values
# Propagate initial states to each T1 using SPICE
states_spice = []
for i, target in enumerate(targets):
for dt in DT:
states_spice.append(sp.prop2b(MU, list(vectors[i, :]), dt))
states_spice = np.array(states_spice)
# Repeat but now using THOR's universal 2-body propagator
states_thor = propagateUniversal(
vectors,
t0.tdb.mjd,
t1.tdb.mjd,
mu=MU,
max_iter=1000,
tol=1e-15
)
# Test 2-body propagation using THOR is
# is within this tolerance of SPICE 2-body
# propagation
testOrbits(
states_thor[:, 2:],
states_spice,
orbit_type="cartesian",
position_tol=1*u.cm,
velocity_tol=(1*u.mm/u.s),
magnitude=True
)
return
def getRelPosition(self, flightTime):
t = self.getTrajTime(flightTime)
traj = self.getTrajectory(flightTime)
area = traj.av * t
absTime = self.launch + timedelta(seconds=flightTime)
#print('t: ', self.launch+timedelta(seconds=flightTime))
#print('tName: ', type(absTime).__name__)
return np.array(sp.prop2b(traj.GM, traj.entranceState, t)[0:3])
def test_propagateUniversal():
"""
Query Horizons (via astroquery) for initial state vectors of each target at T0, then propagate
those states to all T1 using THOR's 2-body propagator and SPICE's 2-body propagator (via spiceypy).
Compare the resulting states and test how well they agree.
"""
# Grab vectors from Horizons at initial epoch
orbit_cartesian_horizons = getHorizonsVectors(TARGETS,
T1[:1],
location="@sun",
aberrations="geometric")
orbit_cartesian_horizons = orbit_cartesian_horizons[[
"x", "y", "z", "vx", "vy", "vz"
]].values
# Propagate initial states to each T1 using SPICE
states_spice = []
for i, target in enumerate(TARGETS):
for dt in DT:
states_spice.append(
sp.prop2b(MU, list(orbit_cartesian_horizons[i, :]), dt))
states_spice = np.array(states_spice)
# Repeat but now using THOR's universal 2-body propagator
states_thor = propagateUniversal(orbit_cartesian_horizons,
T0.tdb.mjd,
T1.tdb.mjd,
mu=MU,
max_iter=1000,
tol=1e-15)
# Test 2-body propagation using THOR is
# is within this tolerance of SPICE 2-body
# propagation
testOrbits(states_thor[:, 2:],
states_spice,
orbit_type="cartesian",
position_tol=2 * u.cm,
velocity_tol=(1 * u.mm / u.s),
magnitude=True)
return
def rv(self, date):
"""Position and velocity vectors.
Parameters
----------
date : string, float, astropy Time, or datetime
Processed via `util.date2time`.
Returns
-------
r : ndarray
Position vector. [km]
v : ndarray
Velocity vector. [km/s]
"""
from .. import util
jd = util.date2time(date).jd
dt = (jd - self.jd) * 86400.0
rv = np.array(spice.prop2b(self.GM, self.rv_i, dt))
return rv[:3], rv[3:]
def wait(pivot, state, deltaT):
GM = pivot.Gmass[0]
return sp.prop2b(GM, state, deltaT)
np.deg2rad(0),
np.deg2rad(0),
np.deg2rad(0), 0, cn.mu
])
states0 = sp.conics(elm0, 0)
sma = sma + 100
rp = sma * (1 - ecc)
elm1 = np.array([
rp, ecc,
np.deg2rad(10),
np.deg2rad(0),
np.deg2rad(0),
np.deg2rad(0), 0, cn.mu
])
states1 = sp.conics(elm1, 0)
statesf = sp.prop2b(cn.mu, states1, tspan[-1])
# Method of Particular Solutions Shooting Method
[v0, mps_err] = mps_twobody(tspan, states0, statesf)
print("mps err:", mps_err)
states0_new = np.zeros(6)
states0_new[0:3] = states0[0:3]
states0_new[3:6] = v0[0:3]
# Scipy's Optimize
v0_guess = states0[3:6]
optres = minimize(residuals,
v0_guess[0:3],
args=(tspan, states0, statesf),
method='Nelder-Mead',
tol=1e-13)
def propagate2body(x, v, t, tp, n_jobs):
""" Propagate states to the same time using spicepy's 2body propagation.
Parameters:
-----------
x ... array of 3D heliocentric/barycentric positions
v ... array of 3D heliocentric/barycentric velocities
t ... array of epochs for states (x,v)
tp ... epoch to propagate state to
n_jobs ... number of worker processes for 2body propagation
Returns:
--------
xp ... array of propagated 3D positions
vp ... array of propagated 3D velocities
dt ... array of time deltas wrt the propatation epoch: tp-t
"""
dt = np.array(tp - t)
# print('x.ndim',x.ndim)
# print('x.shape',x.shape)
# print('x',x)
# print('v',v)
if (len(x) < 1):
# empty
xp = []
vp = []
elif (x.ndim == 1):
state = sp.prop2b(cnst.GM, np.hstack((x, v)), dt)
xp = state[0:3]
vp = state[3:6]
elif (x.ndim == 2):
lenx = len(x[:, 0])
#state = np.zeros((lenx,6))
if (n_jobs > 1):
#print('n_jobs:',n_jobs)
#batchsize=np.rint(lenx/(n_jobs)/20).astype(int)
#batchsize=10000*n_jobs
#print('batch_size:', batchsize, ' of ', lenx)
# results = Parallel(n_jobs=n_jobs,
# batch_size=batchsize,
# pre_dispatch='2*n_jobs'
# )(delayed(prop2b)(x[i,:],v[i,:],dt[i])
# for i in range(lenx))
results = Parallel(n_jobs=n_jobs,
batch_size='auto',
pre_dispatch='2*n_jobs')(
delayed(prop2b)(x[i, :], v[i, :], dt[i])
for i in range(lenx))
state = np.array(results)
#print('state',state)
else:
state = np.zeros((lenx, 6))
for i in range(lenx):
state[i, :] = sp.prop2b(cnst.GM, np.hstack((x[i, :], v[i, :])),
dt[i])[0:6]
#print('state', state)
xp = state[:, 0:3]
vp = state[:, 3:6]
else:
raise TypeError
return xp, vp, dt
def swingby(Rsoi, s0, GM, step=1e4):
sf = s0[:]
while np.linalg.norm(sf[:3]) / Rsoi < 1.001: #need a failsafe
sf = sp.prop2b(GM, sf, step)
return sf