23.12.2013 Views

A dynamically-packed planetary system around GJ 667C with ... - ESO

A dynamically-packed planetary system around GJ 667C with ... - ESO

A dynamically-packed planetary system around GJ 667C with ... - ESO

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Guillem Anglada-Escudé et al.: Three HZ super-Earths in a seven-planet <strong>system</strong><br />

Power<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

80<br />

60<br />

40<br />

20<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

40<br />

30<br />

20<br />

10<br />

0<br />

40<br />

30<br />

20<br />

10<br />

0<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

+28d<br />

+91d<br />

+63d<br />

+39d<br />

+260d<br />

+17d<br />

Real set<br />

16 32 64 128 256<br />

Period [days]<br />

Power<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

+28d<br />

+91d<br />

+63d<br />

+39d<br />

+260d<br />

+17d<br />

Real set<br />

16 32 64 128 256<br />

Period [days]<br />

Power<br />

100<br />

80<br />

60<br />

40<br />

20<br />

0<br />

80<br />

60<br />

40<br />

20<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

40<br />

30<br />

20<br />

10<br />

0<br />

40<br />

30<br />

20<br />

10<br />

0<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

0<br />

+28d<br />

+91d<br />

+63d<br />

+39d<br />

+260d<br />

+17d<br />

Real set<br />

16 32 64 128 256<br />

Period [days]<br />

Fig. 8. Same as 7 but using the first 100 epochs (left), first 120 (center) and all of them (right).<br />

∆log L<br />

∆log L<br />

∆log L<br />

∆log L<br />

∆log L<br />

200<br />

150<br />

100<br />

50<br />

60<br />

45<br />

30<br />

15<br />

30<br />

20<br />

10<br />

20<br />

15<br />

10<br />

5<br />

30<br />

20<br />

10<br />

First half<br />

b<br />

c<br />

d<br />

e<br />

f<br />

Second half<br />

∆log L<br />

∆log L<br />

20<br />

15<br />

10<br />

5<br />

20<br />

15<br />

10<br />

5<br />

0<br />

1 10 100 1000<br />

Period [days]<br />

g<br />

(h)<br />

1 10 100 1000<br />

Period [days]<br />

Fig. 9. Periodograms on first and second half of the time series as obtained when all signals except one were removed from the data. Except<br />

for signal h, all signals are significantly present in both halves and could have been recovered using either half if they had been in single planet<br />

<strong>system</strong>s.<br />

amplitudes – except perhaps candidate b which has a considerably<br />

higher amplitude – made this problem especially severe. In<br />

this sense, the currently available set of observation are a sub–<br />

sample of the many more that might be obtained in the future,<br />

so it might happen that one of the signals we report “bifurcates”<br />

into other periodicities. This experiment also suggests that spectral<br />

information beyond the most trivial aliases can be used to<br />

verify and assess the significance of future detections (under investigation).<br />

7.1. Presence of individual signals in one half of the data<br />

As an additional verification against quasi-periodicity, we investigated<br />

if the signals were present in the data when it was divided<br />

in two halves. First half corresponds to the first 86 HARPS observations<br />

and the second half covers the rest. The data from PFS<br />

and HIRES was not used for this test. The experiment consists in<br />

removing all signals except for one of them at a time and compute<br />

the periodogram on those residuals (first and second halfs<br />

separately). If a signal is strongly present in both halfs, it should,<br />

at least, emerge as substantially significant. All signals except for<br />

the seventh one passed this test nicely. That is, in all cases except<br />

for h, the periodograms prominently display the non-removed<br />

11

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!