.. _book_fig_chapter10_fig_LS_double_eclipse:


Lomb-Scargle Aliasing
---------------------
Figure 10.18

Analysis of a light curve where the standard Lomb-Scargle periodogram fails to
find the correct period (the same star as in the top-left panel in figure
10.17). The two top panels show the periodograms (left) and phased light curves
(right) for the truncated Fourier series model with M = 1 and M = 6 terms.
Phased light curves are computed using the incorrect aliased period favored by
the M = 1 model. The correct period is favored by the M = 6 model but
unrecognized by the M = 1 model (bottom-left panel). The phased light curve
constructed with the correct period is shown in the bottom-right panel. This
case demonstrates that the Lomb-Scargle periodogram may easily fail when the
signal shape significantly differs from a single sinusoid.



.. image:: ../images/chapter10/fig_LS_double_eclipse_1.png
    :scale: 100
    :align: center


.. raw:: html
    
    <div class="toggle_trigger"><a href="#">

**Code output:**

.. raw:: html

    </a></div>
    <div class="toggle_container">

.. literalinclude:: fig_LS_double_eclipse.txt

.. raw:: html

    </div>
    <div class="toggle_trigger" id="start_open"><a href="#">

**Python source code:**

.. raw:: html

    </a></div>
    <div class="toggle_container">

.. literalinclude:: fig_LS_double_eclipse.py
    :lines: 17-

.. raw:: html

    </div>
    <div align="right">

:download:`[download source: fig_LS_double_eclipse.py] <fig_LS_double_eclipse.py>`

.. raw:: html
    
    </div>