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- Title
Equilibria in an accelerated three-body problem.
- Authors
McInnes, Colin R.
- Abstract
The general three-body problem is investigated with the addition of a fixed external force applied to one of the masses. It is firstly demonstrated that the centre-of-mass of the three-body system accelerates. Then, it is demonstrated that only a single, unstable, collinear equilibrium solution exits in the accelerating frame. While unstable, it is also demonstrated that this single equilibrium configuration is in principle controllable using additional control accelerations distributed between the masses. Potential applications of such an accelerated collinear equilibrium configuration are discussed for the active manoeuvring of chains of small asteroids for space resource utilisation.
- Subjects
THREE-body problem; EXTRATERRESTRIAL resources; EQUILIBRIUM; ASTEROIDS; LAGRANGIAN points
- Publication
Celestial Mechanics & Dynamical Astronomy, 2023, Vol 135, Issue 6, p1
- ISSN
0923-2958
- Publication type
Article
- DOI
10.1007/s10569-023-10166-z