calculate-orbit-semimajor-axis
To calculate the semimajor axis of an orbit, you need to know the period of the orbit and the gravitational parameter of the central body around which the orbiting object is moving. The gravitational parameter, denoted by μ, is a product of the gravitational constant (G) and the mass (M) of the central body, and is given by:
μ = GM
Once you have these values, you can use Kepler's third law, which relates the period (T) of an orbit to its semimajor axis (a) as follows:
T^2 = (4π^2 / μ) a^3
Solving for a, we get:
a = (μ T^2 / 4π^2)^(1/3)
Therefore, the formula to calculate the orbit semimajor axis is:
a = (GM T^2 / 4π^2)^(1/3)
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