# Wavelength in a Circular Orbit Around Earth

• greeniguana00
In summary, the conversation discusses a scenario where an object is in circular orbit around the Earth and a radio signal is sent from the center of the Earth. It is observed that the frequency remains the same regardless of the object's speed, but the wavelength increases as the object moves faster. The diagram provided illustrates this concept through sequential images and a comparison of the object's path with and without the movement of the waves. The conversation also briefly mentions the presence of Doppler shift.
greeniguana00
Have a look at this diagram I made: http://la.gg/upl/wavelength2.jpg

The scenario is that you are in circular orbit around the Earth and a radio signal is sent from the center of the Earth. If you have a clock with you that is synced up to a clock on Earth (we are ignoring relativity here), you will measure the frequency to be the same no matter how fast you are traveling. If you measure the distance between the point where you hit one peak and the point where you hit the next, however, you will measure a longer wavelength the faster you are going.

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I don't understand your diagram and don't see a question anywhere in there, but yes, there is doppler shift.

I'm not asking a question, simply making an observation.

As for the diagram, the three rectangles on top of each other (labeled 1, 2, and 3) are sequential images of the impulses advancing and the object moving perpendicular to the direction of the wave. In frame 1, the object is experiencing a peak (vertical line). In the intermediate frame (2), the object has moved a certain distance (although its distance from the Earth remains the same) and the impulses have advanced so that the object is now between impulses. In the final frame (3), the object has moved farther, and it is now experiencing another peak.

The rectangle to the right of the other three shows the path the object would have had to take to pass through those same points if the waves weren't moving --- it is a bit confusing

## 1. What is the wavelength in a circular orbit around Earth?

The wavelength in a circular orbit around Earth is the length of one complete cycle of the orbit. It can be calculated by dividing the circumference of the orbit by the frequency of the orbiting object.

## 2. How is the wavelength affected by the distance from Earth?

The wavelength is directly proportional to the distance from Earth. As the distance increases, the wavelength also increases. This is because the circumference of the orbit becomes larger, resulting in a longer wavelength.

## 3. Does the wavelength change as the orbiting object moves closer or farther from Earth?

Yes, the wavelength changes as the orbiting object moves closer or farther from Earth. As the distance changes, the frequency of the orbit also changes, resulting in a change in the wavelength.

## 4. How does the mass of the orbiting object affect the wavelength?

The mass of the orbiting object does not directly affect the wavelength in a circular orbit around Earth. However, the mass can indirectly affect the wavelength by influencing the speed and frequency of the orbiting object.

## 5. Can the wavelength in a circular orbit around Earth be measured?

Yes, the wavelength in a circular orbit around Earth can be measured using the formula: wavelength = circumference / frequency. The circumference can be measured using the distance from Earth to the orbiting object and the frequency can be calculated using the period of the orbit.

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