Kepler’s constant via attracting body mass

Kepler’s constant is a physical quantity that only depends on the gravitational constant and the mass of the orbited body, such as the Sun. It is constant in the sense that all planets that orbit the same body approximately have the same value of the Kepler’s constant.

Notation:

1. \(G\) (G) is gravitational_constant.

kepler_constant

kepler_constant of the system.

Symbol:

K

Latex:

\(\mathfrak{K}\)

Dimension:

length**3/time**2

attracting_mass

The mass of the attracting body.

Symbol:

M

Latex:

\(M\)

Dimension:

mass

law

K = G * M / (4 * pi^2)

Latex:

\[\mathfrak{K} = \frac{G M}{4 \pi^{2}}\]