Question

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,” (10[1])which produces five equilibrium points named for Lagrange. In the simplest form of this system, (10[1]-5[1])one can fix a reference frame about the center of mass (10[3])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■ (10[1])

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

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Buzzes

PlayerTeamOpponentBuzz PositionValue
Aditya PatnaikOhio State BCarnegie Mellon B6410
Angelo PanCase Western BMichigan B79-5
Andrew HarmsMichigan StateCase Western A7910
David NiemanCarnegie Mellon AMichigan C9010
Yashwanth BajjiMichigan AKenyon9010
Calvin BostlemanOhio State AMichigan D9010
Mitchell IndekMichigan BCase Western B12510

Summary

Great Lakes2025-02-01Y6100%0%17%89.67
Lower Mid-Atlantic2025-02-01Y10%0%100%0.00
Midwest2025-02-01Y1100%0%0%100.00
Northeast2025-02-01Y3100%0%0%67.67
Overflow2025-02-01Y475%0%0%67.33
Pacific Northwest2025-02-01Y2100%0%0%75.50
South Central2025-02-01Y2100%0%0%87.50
UK2025-02-01Y1100%0%0%64.00