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 (10[1])is an invariant (10[1])for a form of this system that is “restricted,” (10[2])which produces five equilibrium points named for Lagrange. (10[4])In the simplest (10[1])form of this system, (10[3]-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 (10[1])three laws for (10[1])a form (-5[1])of this system. For 10 points, name this system concerning the orbits of objects in gravitational central force problems. ■END■ (10[1]0[3])

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

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

Buzzes

PlayerTeamOpponentBuzz PositionValue
Nathan SheffieldMIT ABrandeis B5210
Stan MelkumianPurdueNorthwestern A5510
Aditya PatnaikOhio State BCarnegie Mellon B6410
Agnijo BanerjeeCambridge AOxford A6410
Joy AnHarvard ABrown A7210
Michał GerasimiukStanford BIowa7210
Catherine WelchUW AUW B7210
Karan GurazadaTexas ATexas B7210
Stephen HeritageNotre Dame AGeorgetown A7510
Angelo PanCase Western BMichigan B79-5
Andrew HarmsMichigan StateCase Western A7910
Isaac MeredithTufts ABrandeis A7910
Matthew WangUBCAlberta7910
David NiemanCarnegie Mellon AMichigan C9010
Yashwanth BajjiMichigan AKenyon9010
Calvin BostlemanOhio State AMichigan D9010
Ezra SantosChicago BMissouri10010
Bryan UgazASUTAMU10310
Noah ChinVirginia Tech AVirginia A105-5
Mitchell IndekMichigan BCase Western B12510
Joseph ChambersVirginia AVirginia Tech A1250
Christopher JosephNotre Dame CGeorgetown B1250
Amanda ZhaoGeorgetown BNotre Dame C1250