潮汐力计算器
使用此潮汐力计算器快速获得准确的计算结果。
Tidal Acceleration
0.0000021985 m/s2
Tidal Acceleration vs Tidal Source Mass
公式
## Tidal Force Tidal forces arise because gravity varies with distance. The near side of an object feels a stronger pull than the far side. ### Formula **a_tidal = 2 G M dr / d cubed** - *M* = mass of the tidal source - *d* = distance from the source - *dr* = size of the object being tidally stretched This is the leading term in a Taylor expansion of the gravitational field.
计算示例
Moon's tidal pull across Earth (M = 7.342e22 kg, d = 3.844e8 m, dr = 1.274e7 m).
- 01a = 2 G M dr / d cubed
- 02G M = 6.674e-11 * 7.342e22 = 4.899e12
- 03d cubed = (3.844e8)^3 = 5.68e25
- 04a = 2 * 4.899e12 * 1.274e7 / 5.68e25
- 05a = 2.20e-6 m/s2
常见问题
Why does tidal force scale as 1/d cubed instead of 1/d squared?
Tidal force is the difference in gravity across the object. Differentiating the inverse-square law gives an inverse-cube dependence, so the tidal effect falls off faster than gravity itself.
Can tidal forces destroy objects?
Yes. If a body ventures within the Roche limit, tidal forces exceed its self-gravity and can tear it apart (forming rings, for example).
Is the Sun or Moon more important for Earth's tides?
The Moon dominates Earth's tides because tidal force depends on the cube of distance. The Moon is much closer than the Sun, more than offsetting its lower mass.