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

Double Star Calculator - Orbit

- Revision:   $Rev: 1216 $
- Report created:   2025-07-11 18:33:09

Orbital Elements for A2076
WDS: A2076 WDS ID/Discoverer
P: 776.000 Orbital period (years)
a: 0.823 Semi-major axis (arcseconds)
i: 73.8 Inclination (degrees)
Ω: 1.3 Longitude of ascending node (degrees)
T: 1895.000 Epoch of periastron passage (year)
e: 0.38 Eccentricity
ω: 95.0 Longitude of periastron (degrees)
Start-Year: 1637.0 Year
End-Year: 2413.0 Year
Epoch: 2025.0 Besselian Epoch

Further data from the WDS Sixth Catalog of Orbits for A2076
Position: 154028.45+184018.0 Epoch-2000 right ascension and declination
WDS-ID: 15405+1840 WDS designation
Discoverer Code: A2076 Discover designation and components
ADS number: 9742 Aitken Double Star catalog
HD number: 139939 HD catalog number
Hipparcos number: 76769 Hipparcos catalog number
V1: 8.28 Magnitude of the primary
V2: 8.44 Magnitude of the secondary
Equinox: 2000 Equinox
Date: 2008 Date of last observation
Orbit grade: 4 Orbit grade, ranging from 1 'definitive' to 5 'indeterminate'
Flags: Flags

Double Star Orbit for A2076
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ValueError		 Python 3.12.3: /usr/bin/python3
Fri Jul 11 18:33:09 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 = [0.22179569034404023, 0.22060767325055922, 0.21941255027352122, 0.21821033084791305, 0.21700102457404605, 0.21578464122166394, 0.21456119073413724, 0.21333068323274407, 0.21209312902104102, 0.21084853858932717, 0.2095969226192002, 0.208338291988209, 0.20707265777460526, 0.20580003126219376, 0.20452042394528655, 0.20323384753376214, 0.2019403139582322, 0.20063983537531765, 0.19933242417303623, 0.1980180929763092, ...], y_list = [0.6188393542367997, 0.6219056202150359, 0.624951854161228, 0.6279778751790485, 0.6309835011230808, 0.6339685485832194, 0.6369328328689127, 0.639876167993251, 0.6427983666568987, 0.6456992402318639, 0.6485785987451097, 0.6514362508620064, 0.6542720038696166, 0.6570856636598246, 0.6598770347122933, 0.6626459200772604, 0.6653921213581662, 0.6681154386941134, 0.6708156707421644, 0.6734926146594576, ...]
 /var/www/cgi-bin/ds_orbit.py in Q_get_smoothed_orbit(x_list=[0.22179569034404023, 0.22060767325055922, 0.21941255027352122, 0.21821033084791305, 0.21700102457404605, 0.21578464122166394, 0.21456119073413724, 0.21333068323274407, 0.21209312902104102, 0.21084853858932717, 0.2095969226192002, 0.208338291988209, 0.20707265777460526, 0.20580003126219376, 0.20452042394528655, 0.20323384753376214, 0.2019403139582322, 0.20063983537531765, 0.19933242417303623, 0.1980180929763092, ...], y_list=[0.6188393542367997, 0.6219056202150359, 0.624951854161228, 0.6279778751790485, 0.6309835011230808, 0.6339685485832194, 0.6369328328689127, 0.639876167993251, 0.6427983666568987, 0.6456992402318639, 0.6485785987451097, 0.6514362508620064, 0.6542720038696166, 0.6570856636598246, 0.6598770347122933, 0.6626459200772604, 0.6653921213581662, 0.6681154386941134, 0.6708156707421644, 0.6734926146594576, ...])
    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([-1.42325401e-01, -1.41995187e-01, -1.4162...60e-01, -1.42868651e-01, -1.42616564e-01]), y = array([-0.00801881, -0.01794375, -0.02786376, -0...8, 0.02175834, 0.01183495, 0.00190833]), s undefined, per undefined
 /usr/lib/python3/dist-packages/scipy/interpolate/_fitpack_py.py in splprep(x=[array([-1.42325401e-01, -1.41995187e-01, -1.4162...60e-01, -1.42868651e-01, -1.42616564e-01]), array([-0.00801881, -0.01794375, -0.02786376, -0...8, 0.02175834, 0.01183495, 0.00190833])], 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([-1.42325401e-01, -1.41995187e-01, -1.4162...60e-01, -1.42868651e-01, -1.42616564e-01]), array([-0.00801881, -0.01794375, -0.02786376, -0...8, 0.02175834, 0.01183495, 0.00190833])], 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([[-0.1423254 , -0.14199519, -0.14162597, .... 0.02175834, 0.01183495, -0.00801881]]), 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. , 0.00297062, 0.00594018, 0.008...2227, 0.99108946, 0.99405866, 1. ]), ub=0, ue=1, k=3, task=0, s=0.0, t=array([], dtype=float64), full_output=0, nest=783, 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([[-0.1423254 , -0.14199519, -0.14162597, .... 0.02175834, 0.01183495, -0.00801881]]), 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. , 0.00297062, 0.00594018, 0.008...2227, 0.99108946, 0.99405866, 1. ]), ub = 0, ue = 1, k = 3, task = 0, ipar = False, s = 0.0, nest = 783, 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>