# Finding Period with Double Stars

In summary, the purpose of finding period with double stars is to determine the orbital period of two stars in a binary system, which can provide insights into the system's dynamics and evolution. The period is calculated by observing the time it takes for the stars to complete one orbit around their shared center of mass, using techniques such as visual observations, spectroscopy, and interferometry. It is important to find the period because it can help us understand the formation and evolution of binary stars, and provide information about their masses and distances. The period can also change over time due to various factors, which can be studied to gain a deeper understanding of the binary system.

## Homework Statement

A certain double star consists of two identical stars, each of mass 3.0E30 kg, separated by a distance of 2.0E11 m between their centres. How long does it take to complete one cycle? Give your answer in seconds.

## Homework Equations

Gm / 4π^2 = r^3/ T^2 (I'm pretty sure the motion will be elliptical)

## The Attempt at a Solution

I tried the above equation, and isolated for T, but I got the wrong answer. The answer is 7.9E7 seconds.

I would first commend the student for attempting to use the appropriate equation to solve the problem. However, it seems that the student may have made a mistake in their calculations or may have used the incorrect values for the variables. I would recommend double-checking the values used and the calculations to ensure accuracy in the answer. Additionally, it may be helpful to provide the specific steps taken in the attempt at a solution so that any errors can be identified and corrected.

## 1. What is the purpose of finding period with double stars?

The purpose of finding period with double stars is to determine the orbital period of two stars that are in a binary system. This information can provide valuable insights into the dynamics and evolution of the system.

## 2. How is the period of double stars calculated?

The period of double stars is calculated by observing the time it takes for the two stars to complete one orbit around their shared center of mass. This can be done through precise measurements of the stars' positions and velocities over a long period of time.

## 3. Why is it important to find the period of double stars?

Finding the period of double stars is important because it can help us understand the formation and evolution of binary star systems. It can also provide information about the masses and distances of the stars, which can aid in our understanding of stellar evolution.

## 4. What techniques are used to find the period of double stars?

Several techniques can be used to find the period of double stars. These include visual observations, spectroscopy, and interferometry. Each method has its own advantages and limitations, and often multiple techniques are used in combination to obtain a more accurate measurement.

## 5. Can the period of double stars change over time?

Yes, the period of double stars can change over time due to various factors such as gravitational interactions with other stars or planets, mass transfer between the two stars, and tidal forces. These changes can be observed and studied to gain a deeper understanding of the dynamics of the binary system.