(Solved): The Inverse-Square Law The equation for the inverse-square law is shown below Eq (1). E*2 = E*1 (R1 ...

The Inverse-Square Law The equation for the inverse-square law is shown below Eq (1). E*2 = E*1 (R1/R?)² Eq (1) Where E*2 is the irradiance at the distance of interest, E*? is the emission from an emitter (for example, the Sun) or at a reference location (for example, at the orbital distance of a planet), R? is the radius of the emitter, and R? is the distance to the location of interest in meters. Here are some values for the Sun. Note that the following only applies to the Sun, not other objects. E* = 62,930,000 W/m² R?695,700,000 m The nearby star Fomalhaut has an estimated radius of 1.842 (184.2%) that of the Sun and a total emission of 308,713,566 W/m². How much irradiance would a planet located around Fomalhaut receive, assuming this world has the same mean orbital distance as the Earth, 149,597,870,700 m?