the list below, corresponding to a planet about half the Jupiter mass with 80 day period and 0.1 eccentricity. Attached plot shows the TTVs and TDVs for this system. TTVs look pretty good.

The ‘first’ solution mentioned in my Dec. 9 email was published as the second-best solution (s2) in our [*Science*]{} article. This solution can be rejected with more TTV data and TDVs.

[**From David K’s email on 12/9/2011.**]{}

[ This is all really cool. So either we have a moon or a 2nd planet then. I wonder if there is any way to constrain the mass of the transiting planet, even a broad limit such as Mp$<$10 Mj (i.e. a real planet rather than a false positive)? So what I’m really asking is can we confirm this candidate? ]{}

Again, this is spot on. We could not obtain any limits on the mass of the transiting candidate from the TTV data available to us in 2011/2012. Instead, the candidate was confirmed by first detecting its companion from TTVs and then running a stability analysis for the whole system. This gives 6 Jupiter masses ($M_{\rm J}$) as an upper limit for KOI-872b, which is clearly planetary.

In 2017, using 