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Charting the Universe with Stars

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Principles of Astrophysics

Part of the book series: Undergraduate Lecture Notes in Physics ((ULNP))

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Abstract

The physics of stars has turned out to be surprisingly important for cosmology. If we understand how stars work, we can use their observed properties to infer their intrinsic luminosities, and combine those with measured fluxes to determine distances. Finding stars at different distances then allows us to map the geometry of the universe. Two types of stars have come to play vital roles in cosmology: pulsating stars called Cepheids, and exploding white dwarfs called type Ia supernovae.

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Notes

  1. 1.

    An adiabatic equation of state would fit the bill: from Eq. (16.4), P ∝ R −3γ for an adiabatic process. We do not necessarily assume that pulsations are adiabatic, but we do consider the possibility below.

  2. 2.

    In an expanding universe, the d in (18.8) is the “luminosity distance” (see Sect. 11.3.2).

  3. 3.

    Parallax is a kind of triangulation that uses Earth’s motion around the Sun to provide a different perspective on nearby stars relative to background objects (see Sect. 2.1).

  4. 4.

    This problem is inspired by Problem 14.13 in the book by Carroll and Ostlie [10], but we work with the dimensionless version of the equation of motion (18.5).

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Keeton, C. (2014). Charting the Universe with Stars. In: Principles of Astrophysics. Undergraduate Lecture Notes in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-9236-8_18

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  • DOI: https://doi.org/10.1007/978-1-4614-9236-8_18

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