  Cheops_illustration_pillars

## Step 2 - The Size of the Exoplanet

The depth of the exoplanet transit is equivalent to the ratio of the area of the planet’s disc and the area of the star’s disc. By measuring the transit’s depth from the transit light curve and knowing the stellar radius (Rs) you can determine the exoplanet’s radius (Rp).

Transit depth (%) ≈ \frac{\pi.{R_p}^2}{\pi.{R_s}^2} x 100 Play Video

## Ready for the KELT-3b solution?

Have you measured the size of KELT-3b? Check below to see whether your results match our expert’s solution for determining the size of KELT-3b.

Let’s now analyse KELT-3b data as an example. ###### Figure 1: KELT-3b data from Cheops with the transit light curve best fit model from allesfitter.

The radius of the star KELT-3 is known and provided in the case file:
R_s = 1.70 R_\text{Sun}

By analysing the Cheops data we can measure the transit depth to be approximately 0.9\% (Figure 1).

Using the equation:
R_p = \sqrt{{R_s}^2 \text{x} \frac{\text{transit depth}}{100}} = \sqrt{{1.70}^2 \text{x} \frac{0.9}{100}} = 0.161 R_\text{Sun}

R_p = 0.161  \text{x}  109 = 17.5 R_\text{Earth}.

How does your estimate of the size of the exoplanet compare to the best model fit value?

## Step 2 Completed! 