benjaminpope.github.io/talks/sagan/sagan.html

The best options are those around bright stars, like 55 Cnc e - subject of 367 papers in the last decade!

\[ f_i \equiv \sum\limits_i w_j p_{ij} \]

\[\begin{align} TV \equiv \sum_i |f_i - f_{i-1}| \end{align} \] subject to constraints \[\begin{align}\forall_j w_j &> 0\\ \sum_{i=1}^{N} f_i &= N.\end{align} \]

This is the \(L_1\) norm or 'taxicab metric' on the derivative of the time series.

This has analytic derivatives you can compute with autodiff - easy to optimize.

Πλειάδες, the Seven Sisters

Alcyone, Atlas (dad), Electra, Maia, Merope, Taygeta, Pleione (mum)

Atlas lightcurve: raw (top) and halo (bottom)

Lightcurves of All Seven Bright Pleiades

I am currently searching all bright stars in K2 for transiting planets - none so far, but plenty of asteroseismology!

α Tauri

الدبران ,*the follower*

... follows the Pleiades!

Yes! We get the same frequency with K2!

\[M = 1.27^{+0.24}_{-0.2} \, \mathrm{M_{\odot}}\] and age \(4.86^{+3.56}_{-2.04} \, \rm Gyr \)

\[M = 1.16^{+0.07}_{-0.07} \, \mathrm{M_{\odot}}\] and age \(6.38^{+1.42}_{-1.12} \, \rm Gyr \)

Using MESA isochrones & stellar tracks, we find that on the main sequence Aldebaran b had a semi-major axis of \(1.507 \pm 0.03 \) AU and Aldebaran had a luminosity \(2.0 \pm 0.7 \, L_\odot \)...

so Aldebaran b had an insolation comparable to Earth when its star was on the main sequence.

Let us know if we can help.