def test_teme_loopback():
from_coo = TEME(1 * u.AU, 2 * u.AU, 3 * u.AU, obstime='2001-01-01')
to_frame = TEME(obstime='2001-06-30')
explicit_coo = from_coo.transform_to(ICRS()).transform_to(to_frame)
implicit_coo = from_coo.transform_to(to_frame)
# Confirm that the explicit transformation changes the coordinate
assert not allclose(
explicit_coo.cartesian.xyz, from_coo.cartesian.xyz, rtol=1e-10)
# Confirm that the loopback matches the explicit transformation
assert_allclose(explicit_coo.cartesian.xyz,
implicit_coo.cartesian.xyz,
rtol=1e-10)
def convert(t,
states,
in_frame,
out_frame,
logger=None,
profiler=None,
**kwargs):
'''Perform predefined coordinate transformations. Always returns a copy of the array.
'''
if logger is not None:
logger.info(
f'frames:convert: in_frame={in_frame}, out_frame={out_frame}')
if profiler is not None:
profiler.start(f'frames:convert:{in_frame}->{out_frame}')
in_frame = in_frame.upper()
out_frame = out_frame.upper()
if in_frame == out_frame:
return states.copy()
if in_frame == 'TEME':
astropy_states = _convert_to_astropy(states, TEME, obstime=t)
elif in_frame in ['ITRS', 'ITRF']: #Reference System VS Reference Frame
astropy_states = _convert_to_astropy(states, ITRS, obstime=t)
elif in_frame in ['ICRS', 'ICRF']:
astropy_states = _convert_to_astropy(states, ICRS)
elif in_frame in ['GCRS', 'GCRF']:
astropy_states = _convert_to_astropy(states, GCRS, obstime=t)
else:
raise ValueError(
f'In frame "{in_frame}" not recognized, please perform manual transformation'
)
if out_frame in ['ITRS', 'ITRF']:
out_states = astropy_states.transform_to(ITRS(obstime=t))
elif out_frame == 'TEME':
out_states = astropy_states.transform_to(TEME(obstime=t))
elif out_frame in ['ICRS', 'ICRF']:
out_states = astropy_states.transform_to(ICRS())
elif out_frame in ['GCRS', 'GCRF']:
out_states = astropy_states.transform_to(GCRS(obstime=t))
else:
raise ValueError(
f'Out frame "{out_frame}" not recognized, please perform manual transformation'
)
rets = states.copy()
rets[:3, ...] = out_states.cartesian.xyz.to(units.m).value
rets[3:, ...] = out_states.velocity.d_xyz.to(units.m / units.s).value
if logger is not None:
logger.info('frames:convert:completed')
if profiler is not None:
profiler.stop(f'frames:convert:{in_frame}->{out_frame}')
return rets
def gen_trajectory(self, tle, interval, **kwargs):
"""
Generates the trajectory (time and coordinate information) for the given
interval with the internal stepsize.
Parameters
----------
tle : TLE
Two-Line-Element initial orbit information (TEME mean orbital elements)
interval : TimeInterval
Time interval for which the ephemeris will be generated
kwargs
No keywords defined
Returns
-------
Trajectory
The output trajectory (in `GCRS`)
"""
# ****** Generate the pos, vel vectors for each time instant ******
# generate the output timelist
time_list = self._generate_time_list(interval)
# Run the propagation and init pos and vel vectors in TEME
e, r_list, v_list = tle.satrec.sgp4_array(time_list.jd1, time_list.jd2)
# Load the time, pos, vel info into astropy objects (shallow copied)
rv_list_teme = CartesianRepresentation(
r_list, unit=u.km, xyz_axis=1
).with_differentials(CartesianDifferential(v_list, unit=u.km / u.s, xyz_axis=1))
rv_list_gcrs = TEME(
rv_list_teme,
obstime=time_list,
representation_type="cartesian",
differential_type="cartesian",
).transform_to(GCRS(obstime=time_list))
# trajectory in astropy
traj_astropy = SkyCoord(
rv_list_gcrs,
obstime=time_list,
frame="gcrs",
representation_type="cartesian",
differential_type="cartesian",
)
# Init trajectory in Trajectory object
trajectory = Trajectory(traj_astropy)
return trajectory
def el2rv(inc, raan, ecc, argp, mean_anomaly, mean_motion, epoch):
"""
Converts mean orbital elements to state vector
"""
time_tle = epoch.jd - 2433281.5
sat = Satrec()
sat.sgp4init(
WGS84,
"i",
0,
time_tle,
0.0,
0.0,
0.0,
ecc,
argp,
inc,
mean_anomaly,
mean_motion,
raan,
)
errorCode, rTEME, vTEME = sat.sgp4(epoch.jd1, epoch.jd2)
if errorCode != 0:
raise RuntimeError(SGP4_ERRORS[errorCode])
pTEME = coord.CartesianRepresentation(rTEME * u.km)
vTEME = coord.CartesianDifferential(vTEME * u.km / u.s)
svTEME = TEME(pTEME.with_differentials(vTEME), obstime=epoch)
svITRS = svTEME.transform_to(coord.ITRS(obstime=epoch))
orb = Orbit.from_coords(Earth, svITRS)
return orb.r, orb.v
def test_itrs_to_teme():
"""Check the coordinate transform accuracy."""
# test_frame = "TEME"
allowable_pos_diff = 300 * u.mm
allowable_vel_diff = 0.23 * u.mm / u.s
rv_teme = rv_itrs_true.transform_to(TEME(obstime=time))
r_diff = pos_err(rv_teme, rv_teme_true)
v_diff = vel_err(rv_teme, rv_teme_true)
# print(f"r {rv_teme.name} diff : {r_diff}")
# print(f"v {rv_teme.name} diff : {v_diff}")
assert r_diff < allowable_pos_diff
assert v_diff < allowable_vel_diff
def test_teme_itrf():
"""
Test case transform from TEME to ITRF.
Test case derives from example on appendix C of Vallado, Crawford, Hujsak & Kelso (2006).
See https://celestrak.com/publications/AIAA/2006-6753/AIAA-2006-6753-Rev2.pdf
"""
v_itrf = CartesianDifferential(-3.225636520,
-2.872451450,
5.531924446,
unit=u.km / u.s)
p_itrf = CartesianRepresentation(-1033.479383,
7901.2952740,
6380.35659580,
unit=u.km,
differentials={'s': v_itrf})
t = Time("2004-04-06T07:51:28.386")
teme = ITRS(p_itrf, obstime=t).transform_to(TEME(obstime=t))
v_teme = CartesianDifferential(-4.746131487,
0.785818041,
5.531931288,
unit=u.km / u.s)
p_teme = CartesianRepresentation(5094.18016210,
6127.64465050,
6380.34453270,
unit=u.km,
differentials={'s': v_teme})
assert_allclose(teme.cartesian.without_differentials().xyz,
p_teme.without_differentials().xyz,
atol=30 * u.cm)
assert_allclose(teme.cartesian.differentials['s'].d_xyz,
p_teme.differentials['s'].d_xyz,
atol=1.0 * u.cm / u.s)
# test round trip
itrf = teme.transform_to(ITRS(obstime=t))
assert_allclose(itrf.cartesian.without_differentials().xyz,
p_itrf.without_differentials().xyz,
atol=100 * u.cm)
assert_allclose(itrf.cartesian.differentials['s'].d_xyz,
p_itrf.differentials['s'].d_xyz,
atol=1 * u.cm / u.s)
def test_itrs_roundtrip():
"""Check whether transforming to a coord and then
transforming back yields the same output."""
# test_frame = "ITRS"
allowable_pos_diff = 1.5e-6 * u.mm
allowable_vel_diff = 2.8e-6 * u.mm / u.s
rv_teme = rv_itrs_true.transform_to(TEME(obstime=time))
rv_itrs_from_teme = rv_teme.transform_to(ITRS(obstime=time))
r_diff = pos_err(rv_itrs_from_teme, rv_itrs_true)
v_diff = vel_err(rv_itrs_from_teme, rv_itrs_true)
# print(f"r {rv_itrs_true.name} diff : {r_diff}")
# print(f"v {rv_itrs_true.name} diff : {v_diff}")
assert r_diff < allowable_pos_diff
assert v_diff < allowable_vel_diff
def propagate(tle, time):
"""
Computes the coordinates at the target `time` using the source `TLE` mean
orbital elements.
Parameters
----------
tle : TLE
Mean orbital elements (Two-Line-Element)
time : Time
Target time for propagation
Returns
-------
coords : SkyCoord
Coordinates at target time (in `GCRS`)
Raises
------
SGP4GeneralError
Errors in SGP4 propagation
SGP4SatDecayedError
Satellite coordinates at required coordinates are below decay altitude.
"""
# compute coords at time
e, r, v = tle.satrec.sgp4(time.utc.jd1, time.utc.jd2)
# check error code
SGP4Propagator.__handle_err_code(e)
v_teme = CartesianDifferential(np.asarray(v), unit=u.km / u.s)
r_teme = CartesianRepresentation(np.asarray(r), unit=u.km)
rv_gcrs = TEME(r_teme.with_differentials(v_teme), obstime=time).transform_to(
GCRS(obstime=time)
)
return SkyCoord(
rv_gcrs, representation_type="cartesian", differential_type="cartesian"
)
def test_teme_to_tirs_no_vel():
"""Check whether coord transform without velocity is possible."""
rv_teme_no_vel = TEME(r_teme_true,
obstime=time,
representation_type="cartesian")
rv_teme_no_vel.transform_to(TIRS(obstime=time))
[-1033.47503120, 7901.30558560, 6380.34453270], unit=u.km)
rv_tirs_true = TIRS(
r_tirs_true.with_differentials(v_tirs_true),
obstime=time,
representation_type="cartesian",
differential_type="cartesian",
)
# Vallado IAU 2000 - Table 3-6 TEME
v_teme_true = CartesianDifferential(
[-4.7461314870, 0.7858180410, 5.5319312880], unit=u.km / u.s)
r_teme_true = CartesianRepresentation(
[5094.18016210, 6127.64465950, 6380.34453270], unit=u.km)
rv_teme_true = TEME(
r_teme_true.with_differentials(v_teme_true),
obstime=time,
representation_type="cartesian",
differential_type="cartesian",
)
def _init_orbit_mars():
"""Initialises the test orbit in a Martian orbit."""
obstime = Time("2020-01-10T11:30:00.0003", scale="tdb")
v_mars = CartesianDifferential(
[3.057934230169251e-01, -3.068219328642159e00, -1.397389382391015e00],
unit=u.km / u.s,
)
r_mars = CartesianRepresentation(
[1.786125452441044e03, -1.191541086863880e03, 3.003639539248147e03],
unit=u.km)
0.0,
0.0,
ecc,
argp,
inc,
m_ano,
m_mot,
raan,
)
errorCode, rTEME, vTEME = sat.sgp4(epoch.jd1, epoch.jd2)
if errorCode != 0:
raise RuntimeError(SGP4_ERRORS[errorCode])
# Convert state vector from TEME (True Equator Mean Equinox) to ITRS
pTEME = coord.CartesianRepresentation(rTEME * u.km)
vTEME = coord.CartesianDifferential(vTEME * u.km / u.s)
svTEME = TEME(pTEME.with_differentials(vTEME), obstime=iss.epoch)
svITRS = svTEME.transform_to(coord.ITRS(obstime=iss.epoch))
sv = Orbit.from_coords(Earth, svITRS)
# Display results
print("State vector [rv2el]")
print(f" r = {sv.r}")
print(f" v = {sv.v}")
print()
print("State vector differences [poliastro - rv2el]")
print(f" dr = {iss.r - sv.r}")
print(f" dv = {iss.v - sv.v}")
print()
t = lines[6]
url = re.findall(url_regex, lines[8])[0][0]
satellite = Satrec.twoline2rv(s, t)
# Epoch March 26th, 2020, at 21:52:56
t = Time('2020-03-26T21:52:56.0', format='isot', scale='utc')
error_code, teme_p, teme_v = satellite.sgp4(t.jd1, t.jd2) # in km and km/s
if error_code != 0:
raise RuntimeError(SGP4_ERRORS[error_code])
# Convert SGP4 TEME to Astropy native TEME
teme_p = CartesianRepresentation(teme_p*u.km)
teme_v = CartesianDifferential(teme_v*u.km/u.s)
teme = TEME(teme_p.with_differentials(teme_v), obstime=t)
'''
itrs = teme.transform_to(ITRS(obstime=t))
location = itrs.earth_location
print(location.geodetic)
'''
# Lat/Lon/Alt of the Washington Monumnet
monumentLat = 38.889484
monumentLon = -77.035278
monumnetAlt = 169 # meters
# get the locations into similar coordinate system objects
#satellilteEarthLocation = ?.from_geocentric(xSat,ySat,zSat)
monumentEarthLocation = EarthLocation.from_geodetic(monumentLon,monumentLat,monumnetAlt)