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Earth's gravity measured by NASA GRACE mission, showing deviations from the theoretical gravity of an idealized, smooth Earth, the so-called Earth ellipsoid. Red shows the areas where gravity is stronger than the smooth, standard value, and blue reveals areas where gravity is weaker (Animated version). [1]
The standard acceleration of gravity or standard acceleration of free fall, often called simply standard gravity and denoted by ɡ 0 or ɡ n, is the nominal gravitational acceleration of an object in a vacuum near the surface of the Earth. It is a constant defined by standard as 9.806 65 m/s 2 (about 32.174 05 ft/s 2).
The measured value of the constant is known with some certainty to four significant digits. In SI units, its value is approximately 6.6743 × 10 −11 m 3 kg −1 s −2. [1] The modern notation of Newton's law involving G was introduced in the 1890s by C. V. Boys.
Gravity is usually measured in units of acceleration.In the SI system of units, the standard unit of acceleration is metres per second squared (m/s 2).Other units include the cgs gal (sometimes known as a galileo, in either case with symbol Gal), which equals 1 centimetre per second squared, and the g (g n), equal to 9.80665 m/s 2.
For several objects in the Solar System, the value of μ is known to greater accuracy than either G or M. The SI unit of the standard gravitational parameter is m 3 ⋅ s −2 . However, the unit km 3 ⋅ s −2 is frequently used in the scientific literature and in spacecraft navigation.
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Value Item 10 18 zettagram (Zg) 5.1 × 10 18 kg Earth's atmosphere [130] 5.6 × 10 18 kg Hyperion, a moon of Saturn [129] 10 19: 3 × 10 19 kg 3 Juno, one of the larger asteroids in the asteroid belt [131] 3 × 10 19 kg The rings of Saturn [132] 10 20: 9.4 × 10 20 kg Ceres, dwarf planet within the asteroid belt [133] 10 21 yottagram (Yg) 1.4 ...
The exact numerical values for the coefficients deviate (somewhat) between different Earth models but for the lowest coefficients they all agree almost exactly. For the JGM-3 model the values are: μ = 398600.440 km 3 ⋅s −2 J 2 = 1.75553 × 10 10 km 5 ⋅s −2 J 3 = −2.61913 × 10 11 km 6 ⋅s −2