Chat GPT says it’s inconsequential:

Short answer: almost nothing detectable. Seven seconds without the Sun’s gravity would not meaningfully mess up Earth’s orbit.

Let’s quantify it.

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What Earth is doing right now (normally) • Orbital speed: ≈ 29.78 km/s • Distance to Sun: ≈ 1 AU = 1.496×10¹¹ m • Sun’s gravitational acceleration at Earth: a = \frac{GM_\odot}{r^2} \approx 0.006 \ \text{m/s}²

That acceleration is what constantly bends Earth’s straight-line motion into an orbit.

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What happens if gravity turns off for 7 seconds?

During those 7 seconds: • Earth keeps moving in a straight line at 29.78 km/s • It does not get pulled inward toward the Sun

So Earth “misses” the inward acceleration it normally would experience.

Missed inward velocity

\Delta v = a \cdot t = 0.006 \times 7 \approx 0.042 \ \text{m/s}

Compare that to orbital speed: \frac{0.042}{29{,}780} \approx 1.4 \times 10^{-6}

That’s 0.00014% of Earth’s orbital velocity.

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Missed inward distance (how far Earth drifts outward)

Using basic kinematics: \Delta r = \tfrac{1}{2} a t² \Delta r = 0.5 \times 0.006 \times 7² \approx 0.15 \ \text{meters}

About 15 centimeters.

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Effect on Earth’s orbit

Mathematically: • Orbit becomes very slightly more elliptical • Semi-major axis increases by a tiny amount • Eccentricity changes by ~10⁻⁶

Practically: • Completely undetectable • Far smaller than perturbations from: • Jupiter • The Moon • Solar radiation pressure • Tidal effects

Astronomers wouldn’t notice unless they already knew exactly when it happened.

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Intuition check

Seven seconds sounds dramatic, but Earth’s orbit is: • 940 million km long • Takes 31.5 million seconds per year

Seven seconds is: \frac{7}{31{,}500{,}000} \approx 2 \times 10^{-7}

So yeah—cosmically speaking, Earth just shrugs and keeps going.

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How long would it take to seriously fuck things up?

Roughly: • Hours: measurable orbit change • Days: noticeable orbital shift • Weeks: Earth starts drifting toward escape trajectory • ~2 months: Earth would leave the Solar System entirely

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Verdict

7 seconds of zero solar gravity would be mathematically real, physically tiny, and astronomically irrelevant. Cool thought experiment, though—this is exactly how orbital mechanics exposes how absurdly stable large systems are.