Courses โ€บ Computational astrophysics โ€บ Module 5: Habitability โ€บ Lesson 9

Lesson 9: Habitable Zone

Where liquid water could exist, and why that isn't enough

Download the handout (PDF, in Spanish) MHD-INT Free on GitHub

๐ŸŽฏ Objectives

  • Define the habitable zone and its conservative and optimistic limits
  • Calculate the light a planet receives
  • Combine habitable zone and magnetic protection

๐Ÿงช Exercise

  1. Calculate the light a planet at 2 AU from a star with 4 times the Sun's luminosity receives (S = L/aยฒ).
  2. With the Sun's conservative zone (0.95โ€“1.68 AU), would it fall inside if the star were like the Sun?
  3. Explain in your own words why Mars is in the habitable zone but is not habitable today.

โš ๏ธ Model limits

  • The limits from Kopparapu et al. (2014) are for a one-Earth-mass planet with a water and COโ‚‚ atmosphere; they do not account for 3D clouds or other atmospheres.
  • TRAPPIST-1 (2566 K) is slightly below the formula's validity range (2600โ€“7200 K), so its limits are a mild extrapolation.
  • The stellar parameters are published values (they do not come from MHD-INT's database, which only stores each star's mass).

๐Ÿ“š References

  • Kopparapu et al. (2014), Habitable zones around main-sequence stars: dependence on planetary mass, ApJ 787, L29.
  • Agol et al. (2021), Refining the transit-timing and photometric analysis of TRAPPIST-1, PSJ 2, 1.
  • Pineda et al. (2021), The M-dwarf Ultraviolet Spectroscopic Sample I, ApJ 918, 40.
  • Berger et al. (2018), Revised radii of Kepler stars and planets using Gaia DR2, ApJ 866, 99.

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