The amount of time dilation between the Sun and the Earth is relatively small but measurable. It is primarily due to the difference in gravitational fields experienced by the two bodies. The gravitational time dilation can be calculated using the following formula:
Δt' = Δt √(1 - 2GM/(rc²))
Where: Δt' is the measured time interval near the massive object (Sun) Δt is the time interval measured far away (Earth) G is the gravitational constant M is the mass of the massive object (mass of the Sun) r is the distance between the two objects (average distance between the Sun and Earth) c is the speed of light
The average distance between the Sun and Earth is about 149.6 million kilometers (93 million miles), and the mass of the Sun is approximately 1.989 x 10^30 kilograms.
By plugging in these values into the equation, we can calculate the time dilation between the Sun and the Earth. However, it's worth noting that this time dilation is relatively small due to the Sun's mass being much smaller than that of a black hole, for example. For everyday life and most practical purposes, the effects of time dilation between the Sun and the Earth are negligible.