Question

1. what is the eccentricity of a perfect circle?

a. 0
b. 1
c. 100

1. what is the correct formula for determining the eccentricity of an ellipse?

a. e = l ÷ d
b. l = d ÷ e
c. e = d ÷ l

1. what is the orbital period of revolution measured in?

a. light years
b. earth years
c. astronomical units

1. what unit is the distance in our solar system measured in?

a. light years
b. kilometers
c. astronomical units

1. how many kilometers is one astronomical unit?

a. 150 million kilometers
b. 125 million kilometers
c. 100 million kilometers

1. which of the following planets has an orbital period most similar to earths orbital period?

a. jupiter
b. venus
c. mercury
use the diagram above to answer questions 16 - 18

1. at which location is this planet at aphelion?

a. a
b. b
c. c

1. at which location is this planet orbiting the fastest?

a. a
b. b
c. c

1. at which location is this planet orbiting the slowest?

a. a
b. b
c. c

Explanation:

10.

Step1: Recall eccentricity formula

Eccentricity \(e=\frac{c}{a}\) for an ellipse. For a circle, \(c = 0\) (where \(c\) is the distance from the center to a focus and \(a\) is the semi - major axis).

Step2: Calculate eccentricity

\(e=\frac{0}{a}=0\)

Step1: Recall eccentricity formula

The formula for the eccentricity \(E\) of an ellipse is \(E = c/a\), where \(c\) is the distance from the center to a focus and \(a\) is the semi - major axis. In terms of \(L\) (semi - major axis) and \(D\) (distance from center to focus), \(E=D\div L\)

Step1: Recall orbital period unit

The orbital period of revolution (the time it takes for a planet to complete one orbit around the Sun) is measured in Earth years. Light years measure distance (used for very large distances in space, like between stars), and astronomical units measure distance within the solar system.

Answer:

a. 0

11.