The angular separation in degrees of two objects is (physical separation × 360°) / (2 π × distance). If an individual was observing our solar system from Castor at a distance of 7.2 light years. What angular resolution, in arcsecond, is needed to resolve the Sun-Earth system as distinct points of light?

Respuesta :

Answer:

[tex]Angular separation = 1.25\times 10^{-5} degree[/tex]

Explanation:

given data:

Distance of individual to solar system is 7.2 light year

Distance between earth and sun is[tex] 1.496\times 10^8 km[/tex]

D =7.2 light year [tex]= 7.2\times 9.46\times 10^{13} km[/tex]

we know that angular seperation is given as

[tex]Angular\ separation = \frac{ dis.\ btwn\ earth\ and\ sun}{2\pi D} \times 360[/tex]

putting all value in the above relation to get angular separation

[tex]Angular\ separation = \frac{1.496\times 10^ 8}{2\pi \times7.2\times 9.46\times 10^{13}} \times 360[/tex]

[tex]Angular separation = 1.25\times 10^{-5} degree[/tex]