IOAA 2013, Отборен тур, вертикални въпроси — Задача 13. M.

13 т.

Условие

i. Two white dwarfs have the same effective temperature. The one dwarf has an Absolute Bolometric Magnitude of $M_{bolA}=10.5mag$ and a mass $m_{A}=1$ solar mass, while the other has $M_{bolB}=10mag$. What is the second dwarf’s mass in solar masses? The mass-radius relationship of a white dwarf is $R^{3}\sim 1/M$. (one decimal) [2 т.]

ii. The value of the Constant of Aberration (arcseconds). (one decimal) [3 т.]

iii. Because of the solar parallax, the time the Sun stays below the horizon of the North Pole is longer. How many minutes is this increase in time? (integer) [2 т.]

iv. How many billions of years is the age of the Universe? (one decimal) [3 т.]

v. What is the maximum ecliptic latitude that can be acquired by Pluto? Pluto’s aphelion is $49.30AU$, its perihelion is $29.58AU$ and its orbital inclination is $17.17^{o}$. Earth’s aphelion is $1.017AU$ and its perihelion is $0.983AU$. (one decimal) [3 т.]

Отговори

Решение

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Оригинал в Архива: Vertical_questions.pdf