# Write Down the MATLAB Commands for Each of The Following Tasks Worksheet

Description

1 attachmentsSlide 1 of 1attachment_1attachment_1

Unformatted Attachment Preview

HW for MATLAB
1. Write down the MATLAB commands for each of the following tasks.
(a) Evaluate

101 2
X
i
2π(i − 1)
sin
.

100
i=1
(Hint: sum)
(b) Construct a 50 × 50 matrix, A, and fill in even numbers from 2 to
5000 column-wise, i.e. the first column is 2, 4, 6, 8, · · ·, the second
is 102, 104, 106, 108, · · ·, and so on. (Hint: reshape)
(c) Create a new matrix B containing the even rows and the odd columns
of A.
(d) Construct the following matrix

1 −1 0
 −1 2 −1

 0 −1 3

C=
..

.

 0 ··· 0
0 ··· ···
···
0
−1
..
.
−1
0
···
···
0
..
.
0
0
···

.

119 −1 
−1 120
(Hint: diag)
(Note: You need to submit the m-file containing all the MATLAB commands for the above tasks.)
1
2. The following differential equations describe the motion of a spaceship in
orbit about the earth (located at the origin) and the moon located at (1,0).
The derivatives are respect to time:
x00
y 00
µ0 (x + µ) µ(x − µ0 )

− f x0 ,
r13
r23
µ0 y µy
= −2×0 + y − 3 − 3 − f y 0 ,
r1
r2
=
2y 0 + x −
with
µ=
p
p
1
, µ0 = 1 − µ , r1 = (x + µ)2 + y 2 , r2 = (x − µ0 )2 + y 2 .
82.45
(a) By plotting the orbit y(t) versus x(t) with initial conditions
x(0) = 1.2 , x0 (0) = 0 , y(0) = 0 , y 0 (0) = −1.04935751 ,
show that when f = 0, the orbit is periodic with the period T =
6.19216933. You may use the MATLAB function ode45 to solve the
ODE numerically.
(b) With the same initial conditions as in (a), but with f = 1, solve the
differential equations from t = 0. Plot the orbit to show that the
spaceship eventually crashes.
(c) Repeat the computation of (b) with f = 0.1. Can you guess what is
happening?
(Note: You need to submit the m-files for producing the plots in (a),
(b) and (c) and the image files of the plots. Also, please provide the
description of what happens to the spaceship that you can see from the
plot of (c).)
2

attachment

Tags:
MATLAB commands

matrix B

even rows

M file

odd columns

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

## Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser. Peter M.
So far so good! It's safe and legit. My paper was finished on time...very excited! Sean O.N.
Experience was easy, prompt and timely. Awesome first experience with a site like this. Worked out well.Thank you. Angela M.J.
Good easy. I like the bidding because you can choose the writer and read reviews from other students Lee Y.
My writer had to change some ideas that she misunderstood. She was really nice and kind. Kelvin J.
I have used other writing websites and this by far as been way better thus far! =) Antony B.
I received an, "A". Definitely will reach out to her again and I highly recommend her. Thank you very much.  