\text{m}^{3}\text{/s}^{2}

cubic meter per second squared

Standard gravitational parameterexact by definition

The cubic metre per second squared is the SI unit of the standard gravitational parameter $\mu = GM$ , the product of the gravitational constant and a body's mass. Its factor is 1 by construction. Earth's value is about 3.986004418 × 10¹⁴ m³/s².

Watch out: Orbital mechanics uses $\mu$ rather than $G$ and $M$ separately for a good reason: $\mu$ is measured directly from spacecraft tracking to nine or more significant figures, while $G$ is known to only about five and the masses of planets are not independently known any better. Multiplying a poorly known $G$ by a poorly known $M$ throws away accuracy the tracking data already contains.

\text{m}^{3}\text{/s}^{2}

1.0000000e-09

\text{km}^{3}\text{/s}^{2}

One cubic meter per second squared in every standard gravitational parameter unit

1	cubic meter per second squared (m³/s²)this unit
1.00000e-09	cubic kilometer per second squared (km³/s²)
2.50878e-15	terrestrial mass parameter (GMearth)
7.53509e-21	solar mass parameter (GMsun)
2.22972e-24	cubic astronomical unit per square day (AU³/d²)

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