For astronomical objects, the time period can be calculated using: T² = (4π²a³)/GM where T is time in Earth years, a is distance in Astronomical units, M is solar mass (1 for the sun) Thus, T² = a³ a = ∛(29.46²) a = 0.67 AU 1 AU = 1.496 × 10⁸ Km 0.67 * 1.496 × 10⁸ Km = 1.43 × 10⁹ Km