That was something new to me…

I asked **whats the orbital speed at 8.68 thousand meters above the CENTER of Earth. What’s the altitude in relation to the surface? Pay attention… I am talking about distance from the CENTER of Earth, not from the surface.**

ChatGPT explained everything and gave the correct formula

v = √((6.674 × 10^-11 m^3 kg^-1 s^-2) * (5.972 × 10^24 kg) / (8.68 × 10^6 m))

but then… it calculated the result as v ≈ 7,377.4 m/s

You can put the formula in Excel. That is the wrong result from GPT’s own formula

**There is something wrong with your calculation.**

**6,674E-11*5,98E+24 = 3,99105E+14**

**3,99105E+14 / 8680000 = 45979861,75**

**square root of 45979861,75 = 6780,845209 m/s**

**Ok, your formula seems correct now. It seems you used the same values, so I don´t understand WHERE your result went wrong. Can you find the mistake in your own earlier calculation?**

**Your first formula**

**v = √((6.674 × 10^-11 m^3 kg^-1 s^-2) * (5.972 × 10^24 kg) / (8.68 × 10^6 m))**

**Your second formula**

**v = √((6.674 × 10^-11 m^3 kg^-1 s^-2) * (5.98 × 10^24 kg) / (8.68 × 10^6 m))**

**Identify in the formula you CORRECTLY gave (v = √((6.674 × 10^-11 m^3 kg^-1 s^-2) * (5.972 × 10^24 kg) / (8.68 × 10^6 m))) where you made a mistake to achieve the result of 7,377.4 meters per second. It almost looks like you wrote the formula but used different values. **

It’s answer was

“I am unable to identify the exact mistake I made to arrive at the incorrect value of 7,377.4 m/s in my first response, but the correct result should be approximately 6,776.3 m/s using the mass of the Earth as 5.972 × 10^24 kg.”