By Placing the Origin at the Center of Mercury's Orbit $x$

question 12

Essay

By placing the origin at the center of Mercury's orbit and the Sun on the $x$ - axis at one of the foci, find the equation of Mercury's orbit given that the length of its major axis is $1.159 \times 10 ^ { 11 }$ m and the elliptical orbit has eccentricity $0.206$ .

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Definitions:

Standard Deviation

A measure that quantifies the amount of variation or dispersion in a set of data values, calculated as the square root of the variance.

Sample Mean

The arithmetic average of a set of values, calculated by adding them up and dividing by the number of values.

Finite Population Correction

A factor applied in sample calculations to adjust for the size of the population when the population is not infinitely large.

Finite Population

A population set that contains a limited number of elements or observations.