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The star that is hotter will have a higher luminosity.

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How is the brightness of a Cepheid star calculated by knowing the period?

The brightness of a Cepheid star is determined by its period-luminosity relationship, which is a relationship between the star's variability period and its intrinsic luminosity. By measuring the period of a Cepheid star, astronomers can use the period-luminosity relationship to calculate its luminosity, and from there determine its apparent brightness as observed from Earth.


How do you measure the distance to a cepheid?

Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.


What is the relationship between luminosity and temperature for stars on the main sequence?

The relationship between luminosity and temperature for stars on the main sequence is described by the Hertzsprung-Russell (H-R) diagram, where more luminous stars are typically hotter. This relationship is generally expressed by the Stefan-Boltzmann law, which states that a star's luminosity is proportional to the fourth power of its temperature (L ∝ T⁴). Consequently, as the temperature of a main sequence star increases, its luminosity also increases significantly, resulting in a clear trend where hotter stars are brighter.


What is the relationship between Luminosity and Temp for main sequence stars?

The relationship between luminosity and temperature for main sequence stars is described by the Hertzsprung-Russell diagram, where luminosity increases with temperature. This correlation follows a power law, specifically L ∝ T^4, meaning that if a star's temperature increases, its luminosity increases dramatically. Consequently, hotter main sequence stars, like O and B types, are much more luminous than cooler stars, such as K and M types. This relationship arises from the processes of nuclear fusion occurring in the star's core, which depend on temperature and pressure.


What the relationship between luminosity and temperature for stars on the main sequence?

The relationship between luminosity and temperature for stars on the main sequence is described by the Hertzsprung-Russell diagram, where more luminous stars tend to have higher temperatures. This correlation is largely due to the processes of nuclear fusion occurring in the star's core; as temperature increases, the rate of fusion rises, leading to greater energy output and, consequently, increased luminosity. Specifically, this relationship can be approximated by the Stefan-Boltzmann Law, which states that luminosity increases with the fourth power of the star's temperature. Thus, main sequence stars exhibit a clear trend where hotter stars are generally more luminous.

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How is the brightness of a Cepheid star calculated by knowing the period?

The brightness of a Cepheid star is determined by its period-luminosity relationship, which is a relationship between the star's variability period and its intrinsic luminosity. By measuring the period of a Cepheid star, astronomers can use the period-luminosity relationship to calculate its luminosity, and from there determine its apparent brightness as observed from Earth.


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How do you measure the distance to a cepheid?

Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.Cepheids have a certain relationship between their period, and their absolute luminosity. Thus, their absolute luminosity can be determined. Comparing this with their apparent luminosity allows us to calculate their distance.


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