The Earth is not being gravitationally pulled towards the Sun. The truth is the exact opposite.
The push of electrical pressure from the sun balances the electrical push from the earth at 93,000,000 miles. Where these opposed pressures are equal a plane is exposed which reverses the cooling, centrifugal, radiative emanations from the Sun and inverts them to heating, centripetal generative stream to vitalise the Earth. This is why the intervening space between Sun/Earth is cold, but the Earth is warm.
That heat never left the sun.
If the Earth was somehow moved closer to the Sun, the greater electrical pressure condition of the Sun would demand the Earth move and return to its balanced orbit.
If the Earth was somehow moved out to the orbit of Saturn, then the Earth’s own electrical conditioning would demand it move back to find its balanced orbit.
If science interpreted their observation in terms of electrical buoyancy between bodies they would have a better understanding of Nature’s techniques.