N-body Problems — MCQs

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1. What does the “N” represent in the N-body problem?





2. The N-body problem arises in which field of physics?





3. The two-body problem can be solved:





4. The three-body problem is generally:





5. Which mathematician first formulated the N-body problem?





6. The gravitational N-body problem involves solving:





7. In the two-body problem, the motion reduces to:





8. The restricted three-body problem assumes one body is:





9. The five equilibrium points in the restricted three-body problem are called:





10. How many Lagrange points exist in the Earth-Sun system?





11. Which two Lagrange points are stable?





12. The circular restricted three-body problem assumes orbits are:





13. The N-body problem is considered:

15. Which field heavily uses N-body simulations?





16. Which problem inspired chaos theory?





17. The N-body problem is an example of a:





18. Which method is used for approximate N-body solutions?





19. Which conservation laws apply to the N-body problem?





20. The computational cost of N-body simulations scales approximately as:





21. Which algorithm reduces the cost of large N-body simulations?





22. A famous restricted three-body solution was given by:





23. The stability of planetary systems is studied using:





24. The N-body problem is deterministic but:





25. Which scientist proved the general three-body problem has no closed-form solution?





26. Which approach uses statistical methods to approximate N-body interactions?





27. The solar system’s long-term stability is studied as a:





28. Which mission uses Lagrange points for satellite placement?





29. Which type of force primarily governs the N-body problem in astronomy?





30. The “hierarchical system” approximation treats N-body systems as:





31. Which numerical method is widely used in N-body simulations?





32. The gravitational potential energy in an N-body system depends on:





33. The motion of asteroids influenced by Jupiter is an example of:





34. The N-body problem can show resonance phenomena such as:





35. The main challenge of the N-body problem is:





36. Which concept in physics is closely related to N-body chaos?





37. Which type of N-body problem is used in studying star clusters?





38. Which mathematical tool is crucial in analyzing N-body systems?





39. In galactic dynamics, N-body problems simulate:





40. Which system is often modeled as an N-body system?





41. The collinear Lagrange points (L1, L2, L3) are:





42. The Hamiltonian of the N-body problem is:





43. N-body simulations are limited by:





44. The restricted three-body problem helps explain:





45. Which approximation assumes nearby bodies dominate gravitational effects?





46. Which of the following is an exact solution to a special three-body case?





47. Which astronomical system is best described by a restricted three-body problem?





48. The motion of particles in dark matter halos is often modeled using:





49. Which branch of mathematics developed in part due to the N-body problem?





50. The N-body problem illustrates the limits of:





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