Definition:Universal Gravitational Constant/Value

Universal Gravitational Constant: Value

The value of the universal gravitational constant is:

\(\ds G\)

\(\approx\)

\(\ds 6 \cdotp 67430 \, (15) \times 10^{-11}\)

$\mathrm {N \, m^2 \, kg^{-2} }$

\(\quad\) in SI units

\(\ds \)

\(\approx\)

\(\ds 6 \cdotp 67430 \, (15) \times 10^{-8}\)

$\mathrm {dyn \, cm^2 \, g^{-2} }$

\(\quad\) in CGS units

\(\ds \)

\(\approx\)

\(\ds 3 \cdotp 32 \times 10^{-13}\)

$\mathrm {lbf \, ft^2 \, lb^{-2} }$

\(\quad\) in FPS units

Sources

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of Mathematical Functions ... (previous) ... (next): $2$. Physical Constants and Conversion Factors: Table $2.3$ Adjusted Values of Constants

which gives the mantissa as $6 \cdotp 673 \, 2$ with an uncertainty of $\pm 31$ corresponding to the $2$ least significant figures

• 1969: J.C. Anderson, D.M. Hum, B.G. Neal and J.H. Whitelaw: Data and Formulae for Engineering Students (2nd ed.) ... (previous) ... (next): $3.$ Physical Constants
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): gravitational constant

which gives the mantissa as $6 \cdotp 672$

• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): gravitational constant

which gives the mantissa as $6 \cdotp 672$