Question

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29.5 years, what is its distance from the sun?
9.5 AU
19.7 AU
44.3 AU
160.2 AU
@jhonyy9

Answer 1

P = a Superscript three-halves

how you write this superscript - sorry but i dont know it here in Europe ?

Answer 2

i don't know either

Answer 3

do you can post these details in equation ?

Answer 4

P = a .....

Answer 5

p=a^3/2

Answer 6

ok

now check it please in your math problem given that P = 29,5 so how you can rewrite this equation ?

Answer 7

The size of the orbit (a) is normally expressed in atomic numbers(1 AU equals the average distance between the Earth and Sun) and the period (P) is measured in years, then using Kepler's Third Law says P2 = a3 to work it out . where P is in Earth years, A is in AU and M is the mass of the central object in units of the mass of the Sun.

work that is cited to explain it better: https://www.astro.umass.edu/~weinberg/a114/handouts/concept1.pdf

hope this helps in some way

Answer 8

thank you

Answer 9

it's ok ?

Answer 10

from there you need calcule the value of a

Answer 11

ok

Answer 12

can i help you again ?

Answer 13

yes

Answer 14

where ?

Answer 15

i will let u know