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Earth Gravity Calculator

Earth Gravity Formula:

\[ g = g_0 \times \left(1 + a \times \sin^2(latitude) - b \times \sin^2(2 \times latitude)\right) - c \times altitude \]

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1. What is Earth's Gravity?

Earth's gravity (g) varies slightly depending on location due to factors like latitude and altitude. The standard gravity is defined as 9.80665 m/s², but actual values range from about 9.78 m/s² at the equator to 9.83 m/s² at the poles.

2. How Does the Calculator Work?

The calculator uses the international gravity formula:

\[ g = g_0 \times \left(1 + a \times \sin^2(latitude) - b \times \sin^2(2 \times latitude)\right) - c \times altitude \]

Where:

Explanation: The formula accounts for Earth's oblate shape (greater gravity at poles) and reduced gravity at higher altitudes.

3. Importance of Gravity Calculation

Details: Precise gravity values are essential for geophysical surveys, metrology, space missions, and scientific experiments requiring high precision measurements.

4. Using the Calculator

Tips: Enter latitude in decimal degrees (-90 to 90) and altitude in meters above sea level. For best results, use precise coordinates.

5. Frequently Asked Questions (FAQ)

Q1: Why does gravity vary with latitude?
A: Earth's rotation creates centrifugal force that counteracts gravity, and the planet's oblate shape means you're farther from the center at the equator.

Q2: What is standard gravity?
A: 9.80665 m/s² is the conventional value representing average gravity at Earth's surface, used for definitions like kilogram-force.

Q3: How much does altitude affect gravity?
A: Gravity decreases by about 0.3086 mGal/meter (0.0003086 m/s² per meter) of elevation gain.

Q4: What's the difference between g and G?
A: g is local gravitational acceleration (m/s²), while G is the universal gravitational constant (6.674×10⁻¹¹ N·m²/kg²).

Q5: Does local geology affect gravity?
A: Yes, but this calculator doesn't account for local density variations which typically cause variations of ±0.01 m/s².

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