Pulsating variable star mathematics question

In summary, the conversation discusses a problem involving a pulsating variable star and its changing apparent magnitude. To solve the problem, the formula L1/L2 = 2.512^(M2-M1) is suggested, along with considering the relationship with the Stephan Boltzmann Law. The question asks for the ratio of the star's maximum and minimum radius, which can be found by understanding the change in magnitude and how it relates to luminosity and temperature. The answer of 0.1 (or 10) is deemed correct, but the person is unsure why it doesn't make sense.
  • #1
bcheero
9
0
How do I do this problem. I think you have to use this formula L1/L2 = 2.512^(M2-M1) and then see the relationship with the Stephan Boltzmann Law. I keep getting an answer of 0.1 based on the ratio, but it's not making any sense.

Here's the question. Star P is a pulsating variable star. As it pulses, the apparent magnitude of Star P changes by 5 magnitudes. Assuming that its temperature remains constant as it pulses, what is the ratio of Star P's maximum and minimum radius?
 
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  • #2
Well you know 5 magnitudes is a factor of 100 in luminosity change. And you know that luminosity is proportional to R^2 at constant temperature. So your answer of 0.1 (really it should be 10 since it asks for the ratio of maximum:minimum) seems correct. Why do you think it doesn't make sense?
 

FAQ: Pulsating variable star mathematics question

What is a pulsating variable star?

A pulsating variable star is a type of star that experiences periodic changes in brightness. These changes are caused by the expansion and contraction of the star's outer layers, which can be influenced by internal processes such as nuclear fusion or external factors like gravitational interactions with other stars.

How are pulsating variable stars classified?

Pulsating variable stars are classified based on their period of variability, which can range from a few hours to several months. They are further categorized into different types, such as Cepheid variables, RR Lyrae variables, and Mira variables, based on their physical properties and the patterns of their brightness changes.

What is the mathematical equation used to study pulsating variable stars?

The most commonly used equation to study pulsating variable stars is the period-luminosity relationship, which relates the period of variability to the intrinsic luminosity of the star. This equation is essential in determining the distance to these stars and understanding their evolutionary processes.

How do scientists use pulsating variable star mathematics?

Scientists use pulsating variable star mathematics to study the physical properties of these stars, such as their mass, size, and temperature. They also use mathematical models to predict the behavior of these stars and understand their role in the evolution of galaxies.

What are some current research topics related to pulsating variable star mathematics?

Some current research topics related to pulsating variable star mathematics include the development of new mathematical models to better understand the pulsation mechanisms of these stars, the use of machine learning techniques to analyze large datasets of pulsating variable stars, and the study of the impact of pulsations on the chemical composition of these stars.

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