Intersecting Orbits of Binary Stars: A Visual Guide

In summary, the possibility of 2 stars in a binary system intersecting their orbits depends on the similarity in size and eccentricity of the stars. As long as they revolve around their center of mass and fulfill certain conditions, their orbits can intersect. This can be seen in simulations where the orbits of two stars intersect due to their high eccentricity. However, if the stars are not point masses, the possibility of collision must also be considered.
  • #1
RingNebula57
56
2
Is it possible that 2 stars in a binary system to intersect their orbits like in this picture? ( the orbital plane is perpendicular to the line of sight)

stars  333.jpg
 
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  • #2
My opinion is that they could
 
  • #3
Since they are revolving around their center of mass, the orbits will intersect as long as the stars are similar in size.
 
  • #4
mathman said:
Since they are revolving around their center of mass, the orbits will intersect as long as the stars are similar in size.
why?
 
  • #5
RingNebula57 said:
why?
The orbits are coplanar, as they have to be in a 2-body interaction. As long as you can treat both bodies as point masses, the only condition for intersection is that the periapsis of the less massive body is closer to the centre of mass than the apoapsis of the more massive one. This depends on the combination of the ratio of masses and eccentricity.
In principle, this is achievable for any ratio of masses, as long as the eccentricity is high enough - but unless the two bodies are comparable in mass, the eccentricity is likely to be >1, i.e. the orbit will be hyperbolic rather than a closed ellipse.

If the bodies are not point masses, then conditions for collision need to be taken into account.
 

Related to Intersecting Orbits of Binary Stars: A Visual Guide

1. What are intersecting orbits of binary stars?

Intersecting orbits of binary stars refer to the paths of two stars that are gravitationally bound to each other and orbit around a common center of mass. These orbits intersect each other, meaning that at certain points, the stars will appear to cross paths as seen from Earth.

2. How are intersecting orbits of binary stars formed?

Intersecting orbits of binary stars are formed when two stars are formed close together in a molecular cloud, and their gravitational pull causes them to orbit around each other. This can also occur when two stars are captured by each other's gravity after forming separately.

3. What is the significance of studying intersecting orbits of binary stars?

Studying intersecting orbits of binary stars can provide valuable insights into the formation and evolution of binary star systems. It can also help us better understand the dynamics of gravitational interactions between celestial bodies.

4. How are intersecting orbits of binary stars observed?

Intersecting orbits of binary stars can be observed through various methods, including spectroscopy, which measures the light emitted by the stars to determine their orbital velocity and distance from each other. Astrometry, which tracks the positions of the stars over time, can also be used to observe intersecting orbits.

5. Can intersecting orbits of binary stars be stable?

Yes, intersecting orbits of binary stars can be stable if the stars have a relatively equal mass and the orbits are circular. However, if there is a significant difference in mass or the orbits are highly elliptical, the system may become unstable and eventually result in a merger or ejection of one of the stars.

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