QUESTION IMAGE
Question
6 multiple choice 1 point what is the eccentricity of an orbit where the foci are also the center? 1 0 0.5 0.25
Step1: Recall eccentricity formula
For a conic section (like an ellipse, which orbits are often modeled as), the eccentricity \( e \) is given by \( e=\frac{c}{a} \), where \( c \) is the distance from the center to a focus, and \( a \) is the semi - major axis length.
Step2: Analyze the condition
If the foci are also the center, then the distance from the center to a focus \( c = 0 \).
Step3: Calculate eccentricity
Substitute \( c = 0 \) into the formula \( e=\frac{c}{a} \). We get \( e=\frac{0}{a}=0 \) (assuming \( a
eq0 \), which is true for a non - degenerate conic section representing an orbit).
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0 (corresponding to the option with value 0)