Binary stars apparent and absolute magnitudes

In summary, the problem involves a binary star system with two stars of equal luminosity, an apparent magnitude of 11.2, and a distance of 76pcs. To find the apparent and absolute magnitudes of just one star, the luminosities of the two stars can be added and then the first equation can be used to determine the apparent magnitude of each star.
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Homework Statement


A binary star system has two star of equal luminosity. The apparent magnitude of the two stars together is 11.2, and they are at a distance is 76pcs. How do I work out the apparent and absolute magnitudes of just one star?


Homework Equations



m=-2.5log(L)

m-M=5log(d)-5

M=-2.5log(L/Lsun)+4.8



The Attempt at a Solution



luminosities can be added, I know that much.
 
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  • #2
So given that the luminosities can be added, if the luminosity of each start is L, what is the luminosity of the system? Then, using your first equation, knowing the apparent magnitude of the system, what is the apparent magnitude of each star?
 

FAQ: Binary stars apparent and absolute magnitudes

What are binary stars?

Binary stars are a system of two stars that orbit around a common center of mass. They can be either physically connected or just gravitationally bound.

How are apparent magnitudes of binary stars measured?

Apparent magnitudes of binary stars are measured by observing the brightness of the stars from Earth. This measurement is affected by factors such as distance, size, and brightness of the stars.

What is the difference between apparent and absolute magnitudes?

Apparent magnitude is the measure of a star's brightness as seen from Earth, while absolute magnitude is the measure of a star's brightness at a standard distance of 10 parsecs (about 32.6 light years) from Earth. Absolute magnitude takes into account the distance of the star, making it a more accurate measure of its true brightness.

How do binary stars affect each other's apparent magnitudes?

Binary stars can affect each other's apparent magnitudes through eclipses, where one star blocks the light of the other, causing a decrease in apparent brightness. They can also affect each other through gravitational interactions, causing changes in their orbits and therefore changes in their apparent magnitudes.

What is the significance of studying binary stars' apparent and absolute magnitudes?

Studying binary stars' apparent and absolute magnitudes can provide valuable information about their physical properties, such as mass and distance. It can also help astronomers understand the evolution of stars and the dynamics of their interactions in binary systems.

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