Concept explainers
To find: the planet with the least circular orbit, length of major and minor axis, ratio of these lengths and sketch the graph.
Answer to Problem 2E
The major axis is
Explanation of Solution
Given:
Mercury semi major axis length is
Eccentricity is
Aphelion is
Perihelion is
Concept used:
According mathematic measurement:
Mercury semi major axis length is
Eccentricity is
Aphelion is
Perihelion is
The major and minor axis of the orbit in elliptical shapes can be solved through the formula:
Calculation:
The formula to find the major and minor axis of the orbit in elliptical shapes is:
As, my mathematical measurement:
Mercury semi major axis length is
Eccentricity is
Aphelion is
Perihelion is
Putting the value from
The major axis=
The minor axis is
The ratio of the major and minor axis is:
Ratio of the lengths is
The graph of the mercury is:
Hence, the major axis is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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