Minimum and Maximum Observed Frequencies?

In summary, if you are trying to find the minimum and maximum frequencies of a source that is moving away from the sun, you would need to use the equation: frequency observed = Vphase / [ (Vsource + Vphase)(frequency node)] where Vphase is the speed of light. This equation takes into account the speed of the source and the time it takes for the Earth to move around the sun. The equation would be different depending on the radius of the circle that the source is moving around. If the source is moving around a circular radius, there will be no Doppler shift and the frequency will be the same for all points on the circle. If the source is moving around an elliptical orbit, there will be some Do
  • #1
AimlessWander
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Homework Statement


Let's say you want to find the minimum and maximum observed frequencies of light observed on Earth from the sun, when considering the Earth's motion around the sun. How would you go about doing this if you assume Earth takes time X to complete a revolution around radius R?

Homework Equations


Well, this is an example of Doppler Shift I assume, so
frequency observed = Vphase / [ (Vsource + Vphase)(frequency node)]
where Vphase is the speed of light.

The Attempt at a Solution


So frequency observed is easy enough to set up, but how I'm not sure how to incorporate the parameters X and R to get the minimum and maximum frequencies.
 
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  • #2
AimlessWander said:

Homework Statement


Let's say you want to find the minimum and maximum observed frequencies of light observed on Earth from the sun, when considering the Earth's motion around the sun. How would you go about doing this if you assume Earth takes time X to complete a revolution around radius R?

Homework Equations


Well, this is an example of Doppler Shift I assume, so
frequency observed = Vphase / [ (Vsource + Vphase)(frequency node)]
where Vphase is the speed of light.

The Attempt at a Solution


So frequency observed is easy enough to set up, but how I'm not sure how to incorporate the parameters X and R to get the minimum and maximum frequencies.

The question kind of doesn't make any sense to me. Is that the exact wording of the problem statement that you have been given?

The max and min frequencies of "observed" light from the Sun would depend on human vision, no? Or do you mean observed some other way? And if some other way, it seems the max and min range would be quite wide.

Also, the problem seems to be implying that you should use a circular radius of "R". If the radius is circular, there will be no Doppler shift. And if you use the real elliptical orbit of the Earth around the Sun and get some Doppler shift, there is no "radius R"...
 
  • #3
berkeman said:
The question kind of doesn't make any sense to me. Is that the exact wording of the problem statement that you have been given?

The max and min frequencies of "observed" light from the Sun would depend on human vision, no? Or do you mean observed some other way? And if some other way, it seems the max and min range would be quite wide.

Also, the problem seems to be implying that you should use a circular radius of "R". If the radius is circular, there will be no Doppler shift. And if you use the real elliptical orbit of the Earth around the Sun and get some Doppler shift, there is no "radius R"...

So basically imagine you are observing an object in space with a telescope and it is moving away from the sun.

More specifically, the question states that: you are observing a source that is on the y-z plane, the sun is on the origin and the Earth is moving around the sun. The source is moving away from the sun along the z-axis with velocity Vsource. The question asks to find the minimum and maximum observed frequencies of that source from the Earth. Vphase is the speed of light c and the Earth takes X time to move around the sun in radius R.

I hope that makes more sense.
 

FAQ: Minimum and Maximum Observed Frequencies?

What is the definition of minimum and maximum observed frequencies?

Minimum and maximum observed frequencies are statistical measures used to describe the range of values in a dataset. The minimum observed frequency is the lowest value that occurs in the dataset, while the maximum observed frequency is the highest value that occurs in the dataset.

How are minimum and maximum observed frequencies determined?

Minimum and maximum observed frequencies are determined by sorting the data in ascending order and identifying the first and last values in the dataset. These values represent the minimum and maximum observed frequencies, respectively.

What is the significance of minimum and maximum observed frequencies in data analysis?

Minimum and maximum observed frequencies provide important information about the spread and distribution of data. They can help identify outliers and extreme values, as well as provide a general understanding of the range of values in a dataset.

Can minimum and maximum observed frequencies be the same value?

Yes, it is possible for the minimum and maximum observed frequencies to be the same value if there is only one unique value in the dataset. This means that all data points have the same frequency and there is no variation in the data.

How do minimum and maximum observed frequencies differ from mean and median?

Minimum and maximum observed frequencies represent the lowest and highest values in a dataset, while mean and median represent the average and middle values, respectively. Mean and median provide information about the central tendency of a dataset, while minimum and maximum observed frequencies provide information about the spread of the data.

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