Content-Type: text/html; charset=UTF-8 Double Star Calculator - Orbital Elements

Double Star Calculator - Orbit

- Revision: $Rev: 1216 $
- Report created: 2025-07-11 18:46:18

Orbital Elements for WSI87AD
WDS: WSI87AD WDS ID/Discoverer
P: 300.000 Orbital period (years)
a: 0.28 Semi-major axis (arcseconds)
i: 90.0 Inclination (degrees)
Ω: 271.5 Longitude of ascending node (degrees)
T: 1969.000 Epoch of periastron passage (year)
e: 0.8 Eccentricity
ω: 242.0 Longitude of periastron (degrees)
Start-Year: 1875.0 Year
End-Year: 2175.0 Year
Epoch: 2025.0 Besselian Epoch

Further data from the WDS Sixth Catalog of Orbits for WSI87AD
Position: 172445.86-591249.1 Epoch-2000 right ascension and declination
WDS-ID: 17248-5913 WDS designation
Discoverer Code: WSI87AD Discover designation and components
ADS number: . Aitken Double Star catalog
HD number: 157081 HD catalog number
Hipparcos number: 85216 Hipparcos catalog number
V1: 7.56 Magnitude of the primary
V2: 8.1 Magnitude of the secondary
Equinox: 2000 Equinox
Date: 2022 Date of last observation
Orbit grade: 4 Orbit grade, ranging from 1 'definitive' to 5 'indeterminate'
Flags: n Flags

Double Star Orbit for WSI87AD
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ValueError
Python 3.12.3: /usr/bin/python3
Fri Jul 11 18:46:18 2025

A problem occurred in a Python script. Here is the sequence of function calls leading up to the error, in the order they occurred.

 /var/www/cgi-bin/ds_orbit.py in <module>
    891 
    892 # Smooth curve if necessary
=>  893 x_smooth, y_smooth = Q_get_smoothed_orbit(x_list, y_list)
    894 plt.plot(x_smooth, y_smooth, label=f'Orbit of {wds}', color='#528B8B')
    895 
x_smooth undefined, y_smooth undefined, Q_get_smoothed_orbit = <function Q_get_smoothed_orbit>, x_list = [0.11530389425045344, 0.11274807192614553, 0.11018058906187748, 0.10760157009477433, 0.10501114218256372, 0.10240943525914871, 0.09979658274943953, 0.09717272105925781, 0.0945379902607053, 0.09189253422426114, 0.08923650087447865, 0.08657004246151999, 0.08389331584975708, 0.0812064828247998, 0.07850971042041364, 0.07580317126693015, 0.0730870439629145, 0.07036151347199396, 0.06762677154695212, 0.06488301718338732, ...], y_list = [0.00301933873146422, 0.0029524121685351157, 0.0028851802636211616, 0.0028176462752231533, 0.002749813533083373, 0.0026816854396408177, 0.0026132654887497195, 0.0025445572523222267, 0.0024755643982754096, 0.00240629069399035, 0.0023367400130078013, 0.002266916342138567, 0.0021968237890207885, 0.0021264665901597557, 0.002055849119488552, 0.0019849758974914995, 0.001913851600936619, 0.0018424810732669457, 0.0017708693357058336, 0.0016990215991364108, ...]
 /var/www/cgi-bin/ds_orbit.py in Q_get_smoothed_orbit(x_list=[0.11530389425045344, 0.11274807192614553, 0.11018058906187748, 0.10760157009477433, 0.10501114218256372, 0.10240943525914871, 0.09979658274943953, 0.09717272105925781, 0.0945379902607053, 0.09189253422426114, 0.08923650087447865, 0.08657004246151999, 0.08389331584975708, 0.0812064828247998, 0.07850971042041364, 0.07580317126693015, 0.0730870439629145, 0.07036151347199396, 0.06762677154695212, 0.06488301718338732, ...], y_list=[0.00301933873146422, 0.0029524121685351157, 0.0028851802636211616, 0.0028176462752231533, 0.002749813533083373, 0.0026816854396408177, 0.0026132654887497195, 0.0025445572523222267, 0.0024755643982754096, 0.00240629069399035, 0.0023367400130078013, 0.002266916342138567, 0.0021968237890207885, 0.0021264665901597557, 0.002055849119488552, 0.0019849758974914995, 0.001913851600936619, 0.0018424810732669457, 0.0017708693357058336, 0.0016990215991364108, ...])
    272     # Nur wenn ausreichend Punkte vorhanden sind
    273     if len(x) >= 4:
=>  274         tck, u = splprep([x, y], s=0.0, per=True) # per=True für geschlossene Kurve (Orbit)
    275         u_fine = np.linspace(0, 1, 300)           # Feinere Parameterwerte
    276         return splev(u_fine, tck)
tck undefined, u undefined, splprep = <function splprep>, x = array([-9.16567157e-05, -2.96055636e-03, -5.8287...55e-03, 5.64555579e-03, 2.77726843e-03]), y = array([-2.40011557e-06, -7.75248967e-05, -1.5263...19e-04, 1.47834081e-04, 7.27253334e-05]), s undefined, per undefined
 /usr/lib/python3/dist-packages/scipy/interpolate/_fitpack_py.py in splprep(x=[array([-9.16567157e-05, -2.96055636e-03, -5.8287...55e-03, 5.64555579e-03, 2.77726843e-03]), array([-2.40011557e-06, -7.75248967e-05, -1.5263...19e-04, 1.47834081e-04, 7.27253334e-05])], w=None, u=None, ub=None, ue=None, k=3, task=0, s=0.0, t=None, full_output=0, nest=None, per=True, quiet=1)
    153     """
    154 
=>  155     res = _impl.splprep(x, w, u, ub, ue, k, task, s, t, full_output, nest, per,
=>  156                         quiet)
    157     return res
res undefined, global _impl = <module 'scipy.interpolate._fitpack_impl' from '...ist-packages/scipy/interpolate/_fitpack_impl.py'>, _impl.splprep = <function splprep>, x = [array([-9.16567157e-05, -2.96055636e-03, -5.8287...55e-03, 5.64555579e-03, 2.77726843e-03]), array([-2.40011557e-06, -7.75248967e-05, -1.5263...19e-04, 1.47834081e-04, 7.27253334e-05])], w = None, u = None, ub = None, ue = None, k = 3, task = 0, s = 0.0, t = None, full_output = 0, nest = None, per = True, quiet = 1
 /usr/lib/python3/dist-packages/scipy/interpolate/_fitpack_impl.py in splprep(x=array([[-9.16567157e-05, -2.96055636e-03, -5.828...e-04, 1.47834081e-04, -2.40011557e-06]]), w=array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1... 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]), u=array([0. , 0.00167811, 0.00335579, 0.005...9118, 0.99496712, 0.99664413, 1. ]), ub=0, ue=1, k=3, task=0, s=0.0, t=array([], dtype=float64), full_output=0, nest=307, per=True, quiet=1)
    172     wrk = _parcur_cache['wrk']
    173     iwrk = _parcur_cache['iwrk']
=>  174     t, c, o = _fitpack._parcur(ravel(transpose(x)), w, u, ub, ue, k,
=>  175                                task, ipar, s, t, nest, wrk, iwrk, per)
    176     _parcur_cache['u'] = o['u']
t = array([], dtype=float64), c undefined, o undefined, global _fitpack = <module 'scipy.interpolate._fitpack' from '/usr/...polate/_fitpack.cpython-312-x86_64-linux-gnu.so'>, _fitpack._parcur = <built-in function _parcur>, global ravel = <function ravel>, global transpose = <function transpose>, x = array([[-9.16567157e-05, -2.96055636e-03, -5.828...e-04, 1.47834081e-04, -2.40011557e-06]]), w = array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1... 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]), u = array([0. , 0.00167811, 0.00335579, 0.005...9118, 0.99496712, 0.99664413, 1. ]), ub = 0, ue = 1, k = 3, task = 0, ipar = False, s = 0.0, nest = 307, wrk = array([], dtype=float64), iwrk = array([], dtype=int32), per = True

ValueError: Invalid inputs.
      add_note = <built-in method add_note of ValueError object>
      args = ('Invalid inputs.',)
      with_traceback = <built-in method with_traceback of ValueError object>