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如何计算Gravitational Field

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Gravitational field strength measures the gravitational force per unit mass at a location. It's fundamental to understanding celestial mechanics and tidal forces.

公式

The calculator applies g = GM / r²
GM
GM value — Variable used in the calculation
g
GM / r² — GM / r²

分步指南

  1. 1Enter the source mass and distance from its center
  2. 2The calculator applies g = GM / r²
  3. 3Results show gravitational field strength

例题解析

输入
M = 5.972 × 10²⁴ kg (Earth), r = 6.378 × 10⁶ m (surface)
结果
g ≈ 9.81 m/s²
Standard gravity at sea level

常见错误注意事项

  • Using altitude above surface instead of distance from center
  • Confusing gravitational field with gravitational potential

常见问题

Does gravitational field strength vary with mass of test object?

No, it's independent of test mass. A feather and hammer experience the same field.

Why does gravity follow an inverse square law?

Gravity spreads from a point source in three dimensions; field strength decreases as area increases (4πr²).

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