Stuck on a planetary physic problem; HELP

In summary: This is close to the critical temperature of water ice, which is $150\,\mathrm{K}$, so we can assume that the snow line is at a distance where the temperature is around $122.7\,\mathrm{K}$. In summary, the snow line is located at a distance from the sun where the temperature is around $122.7\,\mathrm{K}$.
  • #1
spacegurl69
1
0
PROBLEM:
As the solar nebula cooled, grains of dust achieved thermal equilibrium with the young sun. We can assume the young Sun had a luminosity of 75% of the present day value, find the distance from the sun at which grains of water ice first become stable; known as the snow line. Assume grains are slow rotators with an albedo of 0.4% with an emissivity of close to 1. In vacuum ice is stable over long time periods at temps below 150K.

CURRENT SOLUTION:
http://imgur.com/KAiAqTy
- the link has a copy of the steps to acquiring solution however where I appear to be stuck is determining how to calculate the highlighted values. Any help is appreciated!
Thank you :)
 
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  • #2
A:The temperature of a blackbody at a given distance is given by the Stefan-Boltzmann law:$$T = \Bigg(\frac{L}{4\pi\sigma D^2}\Bigg)^{1/4}$$where $L$ is the luminosity of the star, $\sigma$ is the Stefan-Boltzmann constant, and $D$ is the distance.The albedo and emissivity of the dust grains does not come into play here because we are dealing with the temperature of the star, not the temperature of the dust grains which would be affected by the albedo and emissivity.Plugging in the values given, you should get $T = 122.7\,\mathrm{K}$.
 

1. What is a planetary physics problem?

A planetary physics problem is a scientific question or challenge related to the study of the physical properties and behaviors of planets and other celestial bodies in our universe. These problems may involve topics such as gravity, orbital mechanics, atmospheric dynamics, and geology.

2. How can I approach solving a planetary physics problem?

First, gather all the relevant information and data about the problem. Then, use scientific principles and equations to analyze the data and make predictions. It may also be helpful to consult with other experts in the field and use computer simulations to model the problem.

3. What are some common challenges in solving planetary physics problems?

Some common challenges include limited data or incomplete understanding of the physical processes involved, as well as the complexity and scale of planetary systems. Additionally, many planetary physics problems require interdisciplinary knowledge and collaboration.

4. How can I improve my problem-solving skills in planetary physics?

One way to improve problem-solving skills in planetary physics is to practice using different problem-solving techniques and approaches. It can also be helpful to stay up-to-date on the latest research and developments in the field and to seek guidance and feedback from experienced scientists.

5. What are some real-world applications of planetary physics?

The study of planetary physics has many real-world applications, such as predicting and understanding the behavior of our own planet, Earth, and its interactions with the rest of the solar system. It also plays a crucial role in space exploration, satellite and spacecraft design, and understanding the potential habitability of other planets and moons in our universe.

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