Calculating Tb/Ta Ratio for Planets A & B

In summary, the conversation discusses finding the ratio of the orbital period of two planets, A and B, based on their masses and semi-major axis of their elliptical orbits around the Sun. The hint given is to apply the 3rd law of Kepler, and the final question asks for the equation that relates the semi-major axis to the orbital period.
  • #1
the_d
127
0
Tb / Ta = ?

i have a final question, which is how do i find this. i know what the question is askin i just don't understand how to get the answer

Two planets A and B, where B has twice the
mass of A, orbit the Sun in elliptical orbits.
The semi-major axis of the elliptical orbit of
planet B is two times larger than the semi-
major axis of the elliptical orbit of planet A.
What is the ratio of the orbital period of
planet B to that of planet A?
 
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  • #2
HINT:Apply the 3-rd law of Kepler...

Daniel.
 
  • #3
What is the equation which relates the semi-major axis of an orbit to the orbital period?
 

FAQ: Calculating Tb/Ta Ratio for Planets A & B

What is the purpose of calculating the Tb/Ta ratio for planets A & B?

The Tb/Ta ratio is used to determine the temperature of a planet's atmosphere and its ability to retain heat. This information can help scientists understand the potential habitability of a planet.

How is the Tb/Ta ratio calculated?

The Tb/Ta ratio is calculated by taking the brightness temperature (Tb) of a planet, which is measured using infrared radiation, and dividing it by the effective temperature (Ta) of the planet's atmosphere. The effective temperature is determined by the planet's distance from its star and its albedo (reflectivity).

What are the factors that can affect the Tb/Ta ratio?

The main factors that can affect the Tb/Ta ratio are the composition of a planet's atmosphere, its distance from its star, and its albedo. Other factors such as the presence of greenhouse gases and the strength of the planet's magnetic field can also play a role.

Why is it important to calculate the Tb/Ta ratio for multiple planets?

By calculating the Tb/Ta ratio for multiple planets, scientists can compare and analyze the data to understand the similarities and differences between planets. This can provide valuable insights into the evolution and potential habitability of different planets in our universe.

What are the potential implications of a high or low Tb/Ta ratio for a planet?

A high Tb/Ta ratio could indicate that a planet has a thick atmosphere with strong greenhouse gases, making it too hot for life to exist. On the other hand, a low Tb/Ta ratio could suggest a thin or non-existent atmosphere, making it difficult for the planet to retain heat and potentially rendering it too cold for life. However, other factors such as a planet's distance from its star and its albedo must also be considered when determining its habitability.

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