English

Two-Body Motion in Central Conservative Force Fields

Classical Physics 2022-11-22 v1

Abstract

The two-body motion for the gravitational and linear elastic central conservative force field is discussed by comparing the differential equations of motions. The inverse and direct square displacement dependency of the two force types is shown as emerging in the trajectories. The closed (for the gravitational field) and open (for the particular dumbbell elastic system considered) character of the trajectory is discussed.

Keywords

Cite

@article{arxiv.2208.10272,
  title  = {Two-Body Motion in Central Conservative Force Fields},
  author = {O. Ianc and A. Marin and T. O. Cheche},
  journal= {arXiv preprint arXiv:2208.10272},
  year   = {2022}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-25T01:52:14.071Z