<p>Escape velocity from the surface of the Sun is 617.6 km/sec, or about 0.00206 times the speed of light. Denoting this ratio (escape velocity / speed of light) as <span class="math-container">$\beta$</span>, time dilation at the surface of the Sun is <span class="math-container">$1-\sqrt{1-\beta^2}$</span>. Thus time dilation at the surface of the Sun makes a clock at the surface of the Sun tick slower than a clock far from the Sun by about a minute (67 seconds) per year, or by about 10000 years during the 4.6 billion years over the Sun has existed. Note that that 10000 years is less than the uncertainty in the Sun's age.</p>

CC BY-SA 4.0
2022-12-21T21:46:21.217Z
+1 for a nice clean and informative answer! For those who'd like to read further about what happens to things *orbiting close to* the Sun: [Parker Solar Probe passing extremely close to the Sun; what relativistic effects will it experience and how large will they be?](https://physics.stackexchange.com/q/348854/83380)
uhoh
CC BY-SA 4.0
2022-12-21T07:24:42.810Z
2022-12-21T07:24:42.810Z
David Hammen
<p>The gravity forces on Earth and Sun is different and in <em>Interstellar</em>, they said something like high gravity slows time. So if we say Sun is N billion years old, that must be earth time but on Sun's own clock, it may be much less.</p>

CC BY-SA 4.0
2022-12-21T07:05:28.407Z
It Is less, but not much less.
Leos Ondra
CC BY-SA 4.0
2022-12-21T23:54:07.643Z
@LeosOndra About 2 microseconds per second slower, so not that much.
David Hammen
CC BY-SA 4.0
2022-12-24T15:22:02.157Z
Possibly of interest would be the timescales used to account for the relativistic effects of Earth's movement around the Sun, and the gravity of the Solar System.  **Barycentrict Dynamic Time**, and **Barycentric Coordinate Time**.
Greg Miller
<the-sun><gravity><earth><time>
Is the speed of time much slower on sun surface?
thevikas
# Is the speed of time much slower on sun surface?

(Asked by: username_0 on 2022-12-21)

The gravity forces on Earth and Sun is different and in *Interstellar*, they said something like high gravity slows time. So if we say Sun is N billion years old, that must be earth time but on Sun's own clock, it may be much less.

**Tags:** the-sun, gravity, earth, time

> **Comments:**
> **username_1**: It Is less, but not much less.  
> **username_2**: @LeosOndra About 2 microseconds per second slower, so not that much.  
> **username_3**: Possibly of interest would be the timescales used to account for the relativistic effects of Earth's movement around the Sun, and the gravity of the Solar System.  **Barycentrict Dynamic Time**, and **Barycentric Coordinate Time**.  

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## 1 answers

### Answer by username_2 on 2022-12-21. Score: 9 | Accepted answer

Escape velocity from the surface of the Sun is 617.6 km/sec, or about 0.00206 times the speed of light. Denoting this ratio (escape velocity / speed of light) as $\beta$, time dilation at the surface of the Sun is $1-\sqrt{1-\beta^2}$. Thus time dilation at the surface of the Sun makes a clock at the surface of the Sun tick slower than a clock far from the Sun by about a minute (67 seconds) per year, or by about 10000 years during the 4.6 billion years over the Sun has existed. Note that that 10000 years is less than the uncertainty in the Sun's age.

> **Comments:**
> **username_4**: +1 for a nice clean and informative answer! For those who'd like to read further about what happens to things *orbiting close to* the Sun: [Parker Solar Probe passing extremely close to the Sun; what relativistic effects will it experience and how large will they be?](https://physics.stackexchange.com/q/348854/83380)  

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