Suppose a Jupiter-size exoplanet (radius 71,500 km ) passed in front of a Sun-size star (radius

step 1 Hello everyone. This is going to be the solution to problem 60, chapter 24 of Kodontos physics.

Suppose a Jupiter-size exoplanet (radius 71,500 km ) passed...

Suppose a Jupiter-size exoplanet (radius $71,500 \mathrm{km}$ ) passed in front of a Sun-size star (radius $696,000 \mathrm{km}$ ). What percentage of the star's light would be blocked by the exoplanet?

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Key Concepts

Stellar and Planetary Radii

The sizes of the star and the planet, typically given as radii, play a critical role in calculating transit depth. Since the areas involved are proportional to the square of these radii, accurate measurements of these quantities are essential for determining the extent to which a planet will block the star's light during transit.

Transit Method

This concept refers to the technique of detecting and studying planets outside our solar system by observing the dip in brightness of a star when a planet passes (or transits) in front of it relative to the observer. The method is fundamental for determining various properties of exoplanets, such as size and orbital period, based on the amount of light blocked during the transit.

Area Ratio Calculation

When an object passes in front of a light source, the percentage of light blocked can be estimated by comparing the area of the object to the area of the light-emitting source. In the context of a transit, the fraction of light obscured is determined by the ratio of the planet's disk area (which depends on the square of its radius) to the star's disk area (which similarly depends on the square of the star's radius).

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