Limited life of the solar system

In his study called “Limited Lifetime of the Solar System” [AIR 15:5], Steve Trimburger says:

With the loss of Pluto, the number of major planets in our solar system has dropped to eight. If the current trend continues, then come April 13, 3703 the solar system will no longer have any major planets. My analysis suggests several possible causes, for the loss of major planets….