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Home Q & A Board Science-Related Homework Help Physics
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gagen gagen
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10 years ago
Find the planet's nearest orbital distance from its star?
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 128 million kilometers. Its orbital eccentricity is 0.5.
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#1
10 years ago
Quote
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 128 million kilometers. Its orbital eccentricity is 0.5.

Answer

Quote
(a+p)= 2 x average distance
a+p= 128 x 2
a+p= 256 million kilometers
a-p= eccentricity x 2 x average distance
a-p= .5 x 2 x 128
a-p= 128 million kilometers
make it a 2 step equation:
128 + 2perihelion= 256
subtract 128 from both sides:
2perhelion= 128
divide each side by 2:
perihelion=64 million kilometers
aphelion= 256 - 64
aphelion= 192 million kilometers
check the answer by doing (a-p) / (a+p) the answer should be .5
(192-64) / (192+64)= .5
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