What is the Semi Major Axis of a Binary Star System?

In summary, the conversation is about calculating the semi-major axis of a binary star, with one star located at 50 AU from the center of mass and the other at 100 AU. The question is whether the semi-major axis would simply be the average of these distances, and if a circular orbit can have a semi-major axis. The conversation also explores the concept of semi-major axis in relation to circular orbits and the distance between the center of mass and the orbit of one star. The conclusion is that for a circular orbit, the semi-major axis is equal to the radius and the distance between the stars would remain the same in a two-body system.
  • #1
goldsax
51
0
need help please in calculating semi major axis(SMA) of a binary star..
if for example
the orbital distance of star A is 50AU and star B is 100 AU from the centre of mass what would the SMA be?

is it as simple as the half way point ? ie 75AU?

thanks in advance
 
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  • #3
thanks for the link, i have had good rethink re. this..
can a binary system that has a circular orbit have a SMA?
or is that called a radii when it is not elliptical?
so for the question concerned would the SMA simply be 100AU?
cheers
 
  • #4
if the speeds of the 2 stars are constant, would r ( distance between M and m fig. b ) remain the same .

if so would r be the SMA? and not the distance between the centre of mass and the orbit of m (fig. a)?

oh i am getting confused!
 

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  • #5
From the article I linked above :

For the special case of a circle, the semi-major axis is the radius.

If this is a simple two body problem with no other objects then the distance between M and m would stay the same.
 
  • #6
many thanks for your guidence!
 

What is a semi major axis?

A semi major axis is a measurement used in orbital mechanics to describe the size of an elliptical orbit. It is the longest radius of an ellipse, extending from the center to one of the farthest points on the ellipse.

How is the semi major axis calculated?

The semi major axis can be calculated by taking the average of the closest and farthest distances from the center of the ellipse. This is also known as the semi major axis length.

What units are used to measure the semi major axis?

The semi major axis is typically measured in astronomical units (AU) or meters (m). In astronomy, 1 AU is equal to the average distance between the Earth and the Sun, which is approximately 149.6 million kilometers or 93 million miles.

Why is the semi major axis important?

The semi major axis is an important measurement in orbital mechanics because it helps determine the shape, size, and orientation of an elliptical orbit. It is also used in calculating the orbital period and speed of an object.

Can the semi major axis change?

Yes, the semi major axis can change due to external forces such as gravitational interactions with other objects in the system. It can also change over time due to factors such as tidal forces or atmospheric drag.

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