Съдържание

APAO 2015, Практически тур, Групи α и β — Задача 9

Оригинал на условието (PDF)Съобщи за грешка

Всички материали от APAO 2015

XI Asian-Pacific Astronomy Olympiad — Practical round · 13 ноември 2015 г.

Внимание: Бележка към темата

The referenced data sheets containing YY Gem radial velocities and exoplanet masses and surface gravities are missing from the archived practical paper and the available companion files. The questions are reproduced here, but their numerical tasks require those missing data.

Условие

You are given the data for the mass (M, in masses of Jupiter) and surface gravity (g) of some exoplanets (see “sheet of data”).

9.1. Plot the $\log(M/M_J)$ against $\log(g)$ .

9.2. It is given that the density ( $\rho$ ) of these exoplanets varies approximately as a function of their mass (M) in following fashion:

\rho=\alpha\cdot M^{\beta},

where $\beta$ is an integer. Determine values of $\alpha$ and $\beta$ .

9.3. What will be the surface gravity of Earth if the plot in part 9.2. is extended to it.

9.4. Is the value calculated in part 9.4. of the same order of magnitude as the actual value? Write in English “Yes” or “No”.

$M_{\mathrm{Jupiter}}=318\ M_{\mathrm{Earth}}$

Решение

Внимание: Непълно решение

В архива няма официално решение на тази задача.

Теми и трудност

Оценена трудност: 4/5.

Екзопланети и среди · Механика · Планетни среди · Гравитация

Предпоставки: Разширена олимпиадна подготовка

Оригинал в Архива: pract.pdf