IYPT 1991, Задачи на турнира — Задача 5. Cosmic monument
Problems for the 4th International Young Physicists’ Tournament
Critical edition
Olympiets Youth Center, Moscow, Soviet Union; July 22‒28, 1991 [1]
Critical edition: translated, restored, and commented text [2]
FINAL DRAFT. — Please do not re-publish. Suggestions and criticism welcome
Translated, edited and commented by Ilya Martchenko. The original edition’s historical notes, sources and acknowledgments are retained with problem 1.
Епиграф
Is this black currant?
No, it is red currant.
But why is it white?
Because it is still green. [3]
Условие
A particular supercivilization is eager to create a cosmic monument, an isolated planetary system of three planets, of which one should move along a trajectory close to an equilateral triangle. What mutual ratios of masses and of velocities for planets would you recommend? Develop also a project for a nearly square-shaped orbit.
Решение
Внимание: Непълно решение
В архива няма официално решение на тази задача.
Оригинал в Архива: 1991.pdf