The Newtonian theory of gravitation says that as a planet approaches perihelion, the point of closest approach to the Sun, it speeds up. When it reaches perihelion, it is no longer gaining speed. At perihelion, the magnitude of the planet's acceleration is zero. After perihelion, it begins to slow down again.
Your theory says that as a planet approaches perihelion, the closest approach to the Sun, its neutrino bombardment gradually increases. Its neutrino bombardment is largest at perihelion. Since neutrino bombardment results in forces, and forces result in accelerations, the planet experiences its largest acceleration at perihelion.
Note the stark difference between the italicised text.