I will have a go this evening if time permits. Is it really not just the conservation laws that solve it? (Momentum too)orlan2r said:
NOsophiecentaur said:
What else equations? It is obvious that Newtonion physics is sufficient... you have not even friction!orlan2r said:
Conservation of momentum on the x-axis and conservation of energy (2 equations but three unknown speeds)Omega0 said:
Yep. Fair enough. Another equation is needed too.orlan2r said:
Can you help me sophiecentaur?sophiecentaur said:
Sorry about this but it requires a lot of time, I think. Afaics, you would need to write out the equation of motion, from t = 0, for all three bodies and arrive at an integral which has to be solved. To make it harder, the limits for the short fall will be different from the long fall.orlan2r said:
If it your own problem then perhaps you should start from the beginning, with a simpler situation and work up to your OP.orlan2r said:
AlreadyI did it. Only I wish to know the opinion of a specialist.sophiecentaur said:
The "System from three bodies" refers to the mathematical problem of predicting the motion of three objects under the influence of their mutual gravitational attraction. It is also known as the "three-body problem".
The "System from three bodies" is considered a difficult problem because it does not have an exact analytical solution. This means that it is not possible to predict the motion of the three bodies using a simple formula or equation. Instead, numerical approximations must be used, which can be complex and time-consuming.
No, the "System from three bodies" cannot be solved exactly. This is due to the chaotic nature of the problem, where small changes in initial conditions can lead to drastically different outcomes. This is known as the "butterfly effect".
Examples of the "System from three bodies" can be found in many natural and man-made systems. Some examples include the motion of the Earth, Moon, and Sun in our solar system, the interactions between three stars in a triple star system, and even the motion of three particles in a chemical reaction.
There are various techniques used to approximate solutions for the "System from three bodies", including numerical integration methods, perturbation theory, and computer simulations. These techniques involve breaking down the problem into smaller, more manageable parts and using mathematical and computational tools to approximate the motion of the three bodies.
