APAO 2012, Теория, β — Задача 6. Planet Bangladeya

VIII Азиатско-Тихоокеанская астрономическая олимпиада · VIII Asian-Pacific Astronomy Olympiad · Theoretical round · 26 ноември 2012 г.

Условие

Engineers of Bangladesh created a new planet Bangladeya from a part of the Earth substance. Total area of surface of Bangladeya equals to the area of Bangladesh country ($S=147\ 600\ \mathrm{km}^2$). The planet is rotating around the Sun by circular orbit so that the mean climate on Bangladeya is the same as in Bangladesh country (the average temperature is 25.6 °C that is 10.5 degrees higher than average on the Earth).

6.1. Estimate the acceleration of gravity at the planet Bangladeya.

6.2. Calculate the duration (in Earth days) of the year on the planet Bangladeya.

Решение

Теми и трудност

Оценена трудност: 5/5.

Слънчева система · Небесна механика · Свойства на планетите · Закони на Кеплер

Предпоставки: Гимназиална подготовка, Разширена олимпиадна подготовка

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Оригинал в Архива: betatheo.pdf