Hello.
I have gone over the material and, yes, the Mayan timeline comes up with a 26000 year cycle.
It also comes up with a point when the planets are in alignment but I am not sure of a connection.
The trouble is that the Mayan record keeping is not one simple system but several calendars.
In short, there is no easy answer.
One can say that based on this one calendar this happens and based on another that happens.
But if given enough options (chances) sooner or later one is going to be right.
Remember even a broken clock is right 2 times a day.