USAAAO 2022, I кръг — Задача 22
USAAAO 2022 - First Round · 5 февруари 2022 г.
Условие
For the five maneuvers described above, rank the resulting apogees from lowest to highest. Assume the change in velocity is small relative to orbital velocity, but not negligible.
(a)
(b)
(c)
(d)
(e)
Отговори
- D
Решение
The burn against the direction of motion decreases the semi-major axis, while keeping the apogee constant. The radial burns and burn towards the NCP increase semi-major axis, though only slightly. The burn towards the direction of motion increases the semi-major axis by the greatest amount, and keeps the perigee the same, increasing the apogee by the greatest amount.
Now to distinguish the radial and NCP burns, note that the radial burns also slightly decrease the perigee, while the burn towards the NCP keeps the perigee constant. As the semi-major axes of the resulting orbits are constant, the radial burns therefore lead to a slightly higher apogee.
Answer: D
Оригинал в Архива: usaaao_first_exam_2022_problems.pdf · официални решения: usaaao_first_exam_2022_solutions-1.pdf