I need help with this planetary motion assignment. Astronomy class PLANETARY MOT
ID: 116905 • Letter: I
Question
I need help with this planetary motion assignment. Astronomy class
PLANETARY MOTION Materials: Textbook. calculator, and a pencil. This chart shows the positions of Uraaus and Neptune on March 4 2001 aad Mach 4, 2002 Note that each planet has shifted dee to its orbiting the sn. Uranus 2002 Uranas 2001 Neptune 2002 Neptune 2001 Capricorn ecliptic South Figure I: View of the movement of Uranus and Neptune from earth. Directions: You will use figure 1 to answer the following questions. Use the scale in figure 2 to make your measurements. Measure to the nearest tenth of a degree. Show all work for calculations and don't forget units. QUESTIONS: 1. When looking at figure 1, which planet has moved the most during this one- year period? Explain why it moves the fastest. 2. How far has each planet moved across the sky (angular movement) in one ate your measurements to the nearest tenth of a degree (ex. If you year? measure 6' exactly, it needs to be written as 6.0'). Accuracy is important Cut out the scale on page #3, figure 2 to use for measuring. Uranus Neptune = 20, ury 3014Explanation / Answer
4.
Uranus moved 40 in 1 year.
therefore, for 3600 it will take (360/4)years =90years
hence orbital period for uranus is 90years
Similarly, Neptune moved 20 in 1 year.
therefore, for 3600 it will take (360/2)years =180years
hence orbital period for Neptune is 180years
5.
Orbital period of uranus is 84 Earth years
Orbital period of Neptune is 164.8 Earth years
6.
Orbital period of uranus is 84 Earth years
Our calculated orbital period of uranus is 90 years.
%error= {(84-90)/84}*100
= -0.0714*100
Uranus %error = -7.14%
Orbital period of Neptune is 164.8 Earth years
Our calculated orbital period of Neptune is 180 years.
%error= {(164.8-180)/164.8}*100
= -0.09223*100
Neptune %error = -9.223%
7.
Kepler's third laws says (Period)2=(Distance from sun)3
Therefore Distance from sun = (Period)2/3
Uranus' period is 90 years
hence its Distance from sun = (90)2/3
Uranus' Distance from sun = 20.082 AU's
Neptune period is 180 years
hence its Distance from sun = (180)2/3
Neptune's Distance from sun = 31.879 AU's
8.
Dehne's Distance from sun = 52 AU's
Dehne's orbital period by using Kepler's third laws i.e. (Period)2=(Distance from sun)3
(Period)2= 523
Period= 140,6081/2
Period= 374.977 years
9.
Planet moves 5 arc minutes in one year
1 degree= 60 arc minutes
1 degree time = (60/5)years
1 degree time= 12years
360 degree time= 12* 360 years
Orbital period = 4320 years
10.
Force of gravity between two bodies, F = (Gm1m2)R2
G= 6.754×1011 m3kg1s2
R= 3.84x 108 m
m1, mass of earth = 5.97219 × 1024 kilograms
m2, mass of moon = 7.34767309 × 1022 kilograms
F= (6.754×1011 x 5.97219 × 1024 x 7.34767309 × 1022 )/(3.84x 108)2
Force of gravity between earth and moon,F= 1.9847x1020 Newtons