Modeling a Binary Asteroid System Around the Sun

In summary, the conversation discusses creating a model for a pair of binary asteroids in orbit around the sun and determining the best approach for this. The restricted 3-body problem is not suitable as it does not account for the effects of all three bodies. The full 3-body problem can be used, but it is important to consider the negligible effect of the asteroids on the sun due to its much greater mass and distance. The concept of negligible and its application in this scenario is also discussed.
  • #1
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I am trying to create a model/simulation for a pair of binary asteroids in orbit around the sun and I'm wondering what would the best way to do this?
The restricted 3-body problem doesn't work as I can't assume any of the 3 bodies as having negligible effect right? However the full 3 body problem incorporates the movement of the sun as a result of the asteroids which is negligible. I'm starting to get confused with all the different n-body problems.

Any help much appreciated.
 
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  • #2
Are you studying the n body problem or do you have a specific case in mind? Personally, I would assume the asteroids' affect on the sun is exactly zero. The sun is more massive than the largest asteroid by ten orders of magnitude. The distances involved are also off by many orders of magnitude.

What is considered negligible enough to zero out?
 

1. What is a binary asteroid system?

A binary asteroid system is a pair of asteroids that orbit around a common center of mass. These two asteroids are in a gravitational dance, constantly pulling and pushing on each other as they revolve around the sun.

2. How do scientists model a binary asteroid system?

Scientists use mathematical equations and computer simulations to model a binary asteroid system. These models take into account the masses, velocities, and distances of the two asteroids, as well as the effects of gravity and other forces.

3. Why is it important to study binary asteroid systems?

Studying binary asteroid systems can provide valuable insights into the formation and evolution of our solar system. It can also help us understand the behavior of other binary systems in the universe, such as binary stars.

4. What are some challenges in modeling a binary asteroid system?

One of the main challenges in modeling a binary asteroid system is accurately determining the masses and orbital parameters of the two asteroids. This information is often limited and can be difficult to obtain, making it challenging to create an accurate model.

5. What are some potential applications of modeling a binary asteroid system?

Modeling a binary asteroid system can help us better understand the potential hazards of asteroid impacts on Earth, as well as the potential for extracting resources from these asteroids in the future. It can also aid in the planning and execution of future asteroid missions.

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