Far-field approximations in multipole expansions allow for sub-quadratic complexity in this system, such as in the Barnes–Hut treecode algorithm. Small perturbations in this system lead to large changes in motion in the first-studied “small denominators” problem, which in simulations can be adjusted by applying a “softening parameter” to the potential. The Jacobi integral is an invariant for a form of this system that is “restricted,” which produces five equilibrium points named for Lagrange. In the simplest form of this system, one can fix a reference frame about the center of mass and use the reduced mass, allowing one to derive Kepler’s three laws for a form of this system. For 10 points, name this system concerning the orbits of objects in gravitational central force problems. ■END■
ANSWER: n-body problem [accept two-body problem or three-body problem or accept planetary problem; prompt on orbits until read]
<MY, Physics>
= Average correct buzz position