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Packet 2: Bonus 5

Trajectories within a region named for this astronomer may follow invariant manifolds of periodic orbits called Conley–McGehee (“muh-GEE”) tubes. For 10 points each:
[10m] Name this American astronomer whose namesake sphere, like the Laplace sphere, models the region within which the gravitational force of a body dominates.
ANSWER: George William Hill [accept Hill sphere or Hill region or Hill radius]
[10e] The Hill sphere lies between the first and second of these gravitationally stable points. Trojan asteroids lie in the fourth and fifth of these points, which are denoted L4 and L5.
ANSWER: Lagrange points
[10h] This approximation is used to calculate a body’s sphere of influence by converting a three-body problem into multiple two-body problems. The Voyager mission used this approximation to calculate its trajectory.
ANSWER: patched conic approximation [or patched two-body approximation; prompt on patched approximation]
<Editors, Physics> | B. Prelims 2 - Northwestern A + Virginia Tech + Brown + Penn State

HeardPPBE %M %H %
2112.38100%24%0%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
British ColumbiaNorth Carolina1010020ME
CambridgeVirginia010010E
Chicago AOhio State1010020ME
Columbia AUCF010010E
CornellColumbia B010010E
Georgia Tech CMichigan1010020ME
HarvardGeorgetown010010E
Illinois AVanderbilt010010E
IndianaMIT010010E
Johns HopkinsNorthwestern B010010E
Maryland BToronto A010010E
MinnesotaGeorgia Tech B010010E
NYU AStanford B1010020ME
NYU BWaterloo1010020ME
PittsburghMaryland A010010E
RutgersUC Berkeley A010010E
Stanford ABruin010010E
SwarthmoreTexas010010E
Toronto BIllinois B010010E
UCLAPurdue010010E
WashUGeorgia Tech A010010E

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2112.38100%24%0%