The formula for calculating the orbital time period of a body is given as:
T² = 4π²r³ / GM
Where T is the time periodr is the distance between the two bodiesG is the gravitational constant andM is the mass of the body that is being orbited.
If we compute this time using SI units, the working is:9.58 AU is 1.43 x 10¹² meters
T = √[(4*π²*(1.43 x 10¹²)³) / (6.67 × 10⁻¹¹ * 2 x 10³⁰)]T = 9.30 x 10⁸ seconds which is approximately 29 years
By means of the astronomical units, distance is in astronomical units and the mass is in solar masses. In these conditions, the ratio:4π²/G = 1 so
T² = a³ (when the solar mass of the sun is 1)
T = √(9.58)³T = 27 years
