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Astronomy & space · University

Radius ratio from an idealized transit depth · formula reference

Assume a dark small planet, central transit, no blending and uniform stellar brightness. Depth is a fraction, not a percentage.

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Formula

Assume a dark small planet, central transit, no blending and uniform stellar brightness. Depth is a fraction, not a percentage.

Rp/Rstar = sqrt(depth)

Worked example

A simplified transit has fractional depth 0.0005. Neglect limb darkening and blending. Find planet radius divided by stellar radius. Round the final result to 4 decimal places if needed.

The blocked area ratio is depth, so the radius ratio is sqrt(0.0005).

0.0224

Prerequisites and checking

Algebra and the topic definitions. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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