1. The problem asks to calculate the solar constant (Sp value) for Venus in watts per square meter (W m^{-2}).
2. The solar constant Sp for a planet is given by the formula:
$$Sp = S_0 \times \left(\frac{R_0}{R_p}\right)^2$$
where $S_0$ is the solar constant at Earth's orbit (approximately 1361 W m^{-2}), $R_0$ is the average distance from the Sun to Earth (1 astronomical unit, AU), and $R_p$ is the average distance from the Sun to the planet (Venus in this case).
3. From Q1a (assumed data):
- $S_0 = 1361$ W m^{-2}
- $R_0 = 1$ AU
- $R_p$ for Venus = 0.723 AU
4. Substitute the values into the formula:
$$Sp = 1361 \times \left(\frac{1}{0.723}\right)^2$$
5. Calculate the fraction inside the parentheses:
$$\frac{1}{0.723} \approx 1.383$$
6. Square this value:
$$1.383^2 = 1.911$$
7. Multiply by $S_0$:
$$Sp = 1361 \times 1.911 = 2601.471$$
8. Therefore, the solar constant for Venus is approximately:
$$Sp \approx 2601.5 \text{ W m}^{-2}$$
This means Venus receives about 2601.5 watts per square meter of solar energy at its orbit.
Venus Solar Constant 7986F1
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