Question

30 баллов (быстрее надо, достаточно краткого решения и ответа) Минимальное расстояние от Солнца до кометы равно 1,2 а.е., а максимальное 7,8 а.е. Чему равен эксцентриситет орбиты кометы? Ответ округлите до сотых.

Answer 1

Ответ: Эксцентриситет 0,7(3)

Объяснение:   Перигелий П = а(1-е).   Отсюда а = П/(1-е)

Апогелий А = а(1+е). Отсюда а = А/(1+е). Тогда имеем П/(1-е) = А/(1+е). Отсюда е = (А-П)/(А+П) = (7,8 - 1,2)/(7,8+1,2) = 6,6/9 = 0,7(3)

Answer 2

Calculation of the Eccentricity of the Comet's Orbit

To calculate the eccentricity of the comet's orbit, we need to use the formula:

eccentricity = (maximum distance - minimum distance) / (maximum distance + minimum distance)

Given that the minimum distance from the Sun to the comet is 1.2 astronomical units (a.u.) and the maximum distance is 7.8 a.u., we can substitute these values into the formula:

eccentricity = (7.8 - 1.2) / (7.8 + 1.2)

Calculating this expression gives us:

eccentricity = 6.6 / 9

Simplifying further:

eccentricity = 0.7333

Rounding this value to the nearest hundredth, the eccentricity of the comet's orbit is approximately 0.73.

Please note that the provided search results did not directly provide the formula for calculating eccentricity or the specific values for the minimum and maximum distances. However, the calculation is based on the general formula for eccentricity and the given values.