Lab 0 (Phys 6bl)
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School
University of California, Santa Barbara *
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Course
6BL
Subject
Astronomy
Date
Apr 3, 2024
Type
Pages
4
Uploaded by BrigadierElectronSpider3
Julia Galperin
PHYS 6BL
Section A
Lab 0
Exercise 1
https://docs.google.com/spreadsheets/d/1_jlf3nbTlHLws_RrG6QhU3g5mwb1vHtWDZ2JXz3g2
mc/edit?usp=sharing
Exercise 2
1.
A) Exponential
B) The data points start off near the x-axis and slowly, as x increases, a slightly curved
pattern begins to form. As x increases, y also increases but not in a linear pattern.
C) Performing a linear fit with this data does not make sense as it is not a linear
relationship between x and y. There is an exponential relationship between these two
variables.
Exercise 3
log(T) = (log K)/i + (j log a)/i
2.
Chart:
Name
Variable
Variable
Dependent Variable
y
logT
Independent Variable
x
logK
Slope
m
1/i
Y-intercept
b
(j log a)/i
Exercise 4:
Table 2: Log-Log Data Table:
Take the LOG10 of the data above to generate the data for
your Log-Log Plot below:
Planet
LOG10(
a
)
LOG10(
T
)
Mecury
-0.4122
-0.61827
Venus
-0.1407
-0.21099
Earth
0.0000
0.00000
Mars
0.1830
0.27434
Jupiter
0.7163
1.0742
Saturn
0.9815
1.4692
Uranus
1.283
1.9243
Neptune
1.478
2.2169
Pluto
1.596
2.3943
Exercise 5:
3.
A) Linear
B) The line of best fit seems ot go through all the points provided. The data points have
a direct relationship and they follow a straight line.
C) It does make sense to performa linear test because the line of best fit matches the
data points very well.
D) Both plots show that there is a direct relationship between the orbit semimajor axis
and period, when one of those variables increases so does the other. The differences
between the two graphs is that one does not seem to be linear while the other does
follow a linear pattern.
Exercise 6:
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4.
A) y = 1.5x + 2.46e-4
B) 1.5
C) 1
5.
A) i=2 j=3
B) 1
6.
A) T(years) = T(s)/31536000
a(au) = a(m)/1.496e11
T(s) = (a(au) * 1.496e11)^z * 31536000 * k/1.496e11^z
B) log(T(s)) = z log (a(m)) + log (31536000k/1.496e11^z)
The new intercept of the graph will become log (k) + log(31536000) - zlog(1.496e11)
Exercise 7:
This lab used graphs in order to determine the relationship between two variables, the orbit
semimajor axis and period. The variables were matched to a mathematical function in order to
further explore the relationship. Through the points and graphs, it was also seen why the units
of years and au were used for K as it makes it a much simpler value to work with.