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andrew11 [14]
3 years ago
7

Planet geos in orbit a distance of 1

Physics
2 answers:
AfilCa [17]3 years ago
7 0

Answer:

8 years

Explanation:

Kepler's third law states that the ratio between the cube of the distance of a planet from its star and the square of its orbital period is constant for all the planets orbiting around that star:

\frac{d^3}{T^2}=const.

where d is the distance of the planet from the star and T is the orbital period.

By applying this law to the two planets of this problem, we can write

\frac{d_g^3}{T_g^2}=\frac{d_L^3}{T_L^2}

where d_g=1 AU is the distance of geos from the star, T_g=1 y is its orbital period, d_L=4 AU is the distance of logos from the star. Re-arranging the equation , we can find T_L, the orbital period of logos around the star:

T_L=\sqrt{\frac{T_g^2 d_L^3}{d_Lg^3}}=\sqrt{\frac{(1 y)^2 (4 AU)^3}{(1 AU)^3}}=\sqrt{4^3}=8 years


nadya68 [22]3 years ago
4 0

Planet Geos in orbit a distance of 1 A.U. (astronomical unit) from the star Astra has an orbital period of 1 "year." If planet Logos is 4 A.U. from Astra, how long does Logos require for a complete orbit?

TB = <span>8</span> years

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