5.9 Years

It takes Jupiter 11.8 years to orbit the Sun once. This means that Jupiter is at its closest to the Sun 5.9 years after it is at its farthest away.

Coincidentally, the length of a day on Earth varies in cycles of 5.9 years, and so does the gravitational constant G as measured on Earth.

An electrical explanation for this would be that Jupiter is modulating the power input to our planet. Assuming that our planet is a homopolar motor, a change in the power input would change Earth's rotational speed. The change in power input would also result in a change in overall charge present in our planet. That would in turn lead to a change in gravity, according to the capacitor model of gravity.

Cross section of a hollow planet