Astronomy Help with ellipses
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Astronomy Help with ellipses

[From: ] [author: ] [Date: 11-06-27] [Hit: ]
1.2.3.4.5.6.......
Use this image for all the questions: http://i53.tinypic.com/53k6k6.gif


*A mystery spacecraft is in orbit about the Sun in the orbit shown. Find its semi-major axis

1. 66 AU

2. 20 AU

3. 80 AU

4. 14 AU

5. 26 AU

6. 54 AU

7. 40 AU

*A mystery spacecraft is in orbit about the Sun in the orbit shown. Find its: aphelion

1. 80 AU

2. 14 AU

3. 20 AU

4. 40 AU

5. 66 AU

6. 54 AU

7. 26 AU

*A mystery spacecraft is in orbit about the Sun in the orbit shown. Find its: perihelion

1. 20 AU

2. 80 AU

3. 54 AU

4. 66 AU

5. 40 AU

6. 26 AU

7. 14 AU

*A mystery spacecraft is in orbit about the Sun in the orbit shown. Find its orbital eccentricity

1. 0.00

2. 0.35

3. 0.54

4. 0.83

5. 1.5

6. 0.40

7. 0.65

Use this image: http://i53.tinypic.com/53k6k6.gif for all questions

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The sun is drawn too far toward the center of the ellipse for the ellipse to occur in the plane of the paper. If the ellipse were in the plane of the paper, the foci should be shown as closer to the ends of the ellipse.

So I am thinking that this ellipse is tilted with respect to the plane of the paper, such that the major axis is in the plane of the paper, but the minor axis is slightly fore and back, and what we are seeing is the projection of the ellipse on to the plane of the paper.

Going on that assumption, then
semimajor axis, a=40
center to focus distance, ae = 26
eccentricity, e = ae/a = 0.65
perihelion, p = a − ae = 14
aphelion, q = a + ae = 66
semiminor axis, b = a√(1−e²) = 30.39737
b cos θ = 20
The inclination of the ellipse with respect to the paper, θ=48.9°
The line of nodes is identical with the major axis.
The argument of the perihelion is either 0° or 180°, depending on which way the ellipse is tilted and on the direction of motion in the orbit.

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*A mystery spacecraft is in orbit about the Sun in the orbit shown
. Find its semi-major axis 40 AU

Find its: aphelion 66AU

Find its perihelion 14AU

Find its orbital eccentricity 0.65

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Q1 A7
Q2 A5
Q3 A7
Q4 (takes too much math! we'll leave this as an exercise for the student.)_
1
keywords: ellipses,Astronomy,Help,with,Astronomy Help with ellipses
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