Homework question on relativity

In summary, relativity is a theory developed by Albert Einstein that explains the relationships between space and time. It has revolutionized our understanding of the universe by providing a framework for understanding the behavior of objects at high speeds or in strong gravitational fields. There are two types of relativity: special relativity, which deals with constant motion, and general relativity, which takes into account the effects of gravity. Time dilation, where time appears to pass slower for objects in motion, is a direct consequence of relativity. Everyday applications of relativity include GPS technology, nuclear power, and advancements in technology such as MRI machines and atomic clocks.
  • #1
dcarmichael
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Homework Statement
The Principle of the astronomical measurements which indicate that the velocity of light is NOT constant relative to its source can be demonstrated by the following problem. Consider a pair of stars A,B of equal mass in circular orbit about their center of mass, C which is a distance d from earth. Assume that the orbit radius is r , the orbital velocity u and that the line of sight to earth is in the plane of orbit.
I understand where the 2nd term in part II comes from but where does πr/u come from ?
Relevant Equations
n/a
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Welcome to PF.

It takes some time for star ##A## to get from position ##A_1## to position ##A_2##.
 
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Thank you
 

Related to Homework question on relativity

1. What is the theory of relativity?

The theory of relativity is a fundamental principle in physics that describes the relationship between space and time. It was first developed by Albert Einstein in the early 20th century and has been proven to accurately describe the behavior of objects in motion and the effects of gravity.

2. How does the theory of relativity apply to homework questions?

The theory of relativity can be applied to homework questions that involve concepts such as time dilation, length contraction, and the effects of gravity on space and time. It provides a framework for understanding these concepts and solving problems related to them.

3. What are the two types of relativity?

The two types of relativity are special relativity and general relativity. Special relativity deals with the laws of physics in inertial (non-accelerating) reference frames, while general relativity extends these laws to include accelerated motion and gravity.

4. What are some real-world applications of the theory of relativity?

The theory of relativity has many practical applications in modern technology, such as GPS systems, particle accelerators, and nuclear power plants. It also helps scientists understand phenomena in the universe, such as black holes and the bending of light around massive objects.

5. Why is the theory of relativity important?

The theory of relativity is important because it revolutionized our understanding of space and time, and has been confirmed by numerous experiments and observations. It also plays a crucial role in modern physics and technology, and continues to inspire further research and discoveries.

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