Question

Параллакс Сириусп равен 0.37". Выразите расстояние до этой звезды в парсеках, световых годах, астрономических единицах и в километрах.

Answer 1

Дано:

π = 0,37"

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Найти:

r - ?

Решение:

Воспользуемся формулой расстояние до звезды, именно по такой формуле мы найдем расстояние до звезды в парсеках, световых годах, астрономических ед., км:

r = 1/π - расстояние до звезды

r = 1/0,37" ≈ 2,7 пк

r = 3,26 св.лет × 2,7 = 8,802 св.лет

r = 206265 а.е. × 2,7 = 556915,5 а.е

r = 3,08×10¹³ км × 2,7 = 8,316×10¹³ км

Ответ: r = 2,7 пк = 8,802 св.лет = 556915,5 а.е = 8,316×10¹³ км

$DK954$

Answer 2

Parallax and Distance Calculation

Parallax is a phenomenon used to measure the distance to nearby stars. It is the apparent shift in the position of a star when observed from different points in Earth's orbit around the Sun. The parallax angle, denoted by the symbol "p", is the angle formed by the two lines connecting the star and the observer at different times of the year.

The parallax angle can be used to calculate the distance to a star using the formula:

Distance (in parsecs) = 1 / Parallax angle (in arcseconds)

Given that the parallax angle of Sirius P is 0.37 arcseconds, we can calculate the distance to this star in parsecs, light-years, astronomical units, and kilometers.

Distance Calculation

1. Parsecs: - Distance (in parsecs) = 1 / Parallax angle (in arcseconds) - Distance (in parsecs) = 1 / 0.37" - Distance (in parsecs) ≈ 2.7027 parsecs

2. Light-years: - 1 parsec is approximately equal to 3.26 light-years. - Distance (in light-years) = Distance (in parsecs) * 3.26 - Distance (in light-years) ≈ 2.7027 parsecs * 3.26 ≈ 8.805 light-years

3. Astronomical Units: - 1 parsec is approximately equal to 206,265 astronomical units (AU). - Distance (in AU) = Distance (in parsecs) * 206,265 - Distance (in AU) ≈ 2.7027 parsecs * 206,265 ≈ 557,942 AU

4. Kilometers: - 1 parsec is approximately equal to 3.09 × 10^13 kilometers. - Distance (in kilometers) = Distance (in parsecs) * 3.09 × 10^13 - Distance (in kilometers) ≈ 2.7027 parsecs * 3.09 × 10^13 ≈ 8.35 × 10^13 kilometers

Therefore, the distance to Sirius P is approximately: - **2.7027