# Using Matlab to analyze shuttle launch into orbit

Using Matlab to analyze shuttle launch into orbitA shuttle launches and I must create a function fitting the given table of values and write a summary of the code. I need help with the code. I am in a time crunch and anything you can do to help would be greatly appreciated. Would pay well for your best attempt at the code, it does not necessarily need to work. I would still be appreciative of a well built attempt. Thank you!

Linear Algebra and Numerical MethodsME 364Final ProjectDue December 9, 2020BackgroundNASA uses numerical methods extensively during the design, launch, orbit and operation ofspacecraft. While many of the calculations that are performed are too complex to be consideredin an introductory course on numerical methods, there are several applications that we canexamine to see how the topics we have introduced in this course are applied in the real world.This project consists of two problems, one required and one optional, each having several parts,which will highlight a numerical method we have discussed in this class. You will need to completeeach section and compile your results into a brief report. Report requirements are given at theend of this document.Section 1 (Required): Modeling the Ascent of the Space ShuttleBackground InformationThe ascent is a very dangerous andimportant phase of any space shuttlelaunch. This phase begins at liftoff andends as soon as the spacecraft reachesorbit. The main propulsion system,which consists of the external tank (ET)and the orbiter engines, together withthe solid rocket boosters (SRBs) supplythe force needed to accelerate to thevelocity of approximately 7.85 km/sthat is required to obtain orbit. Thissystem is so powerful that within 1minute the space shuttle breaks thesound barrier. As the velocity continuesto increase, the stress on the spaceshuttle and the crew increases. Becauseof the immense power of the engines,the acceleration of the space shuttle must be kept below 3 g, or 29.43 m/s2, to ensure the safetyof the vehicle and the crew.The space shuttle continues on its trajectory until Main Engine Cutoff (MECO), soon after whichit reaches orbit. It takes approximately 8 minutes and 30 seconds for the space shuttle to reachMECO, which occurs around 104 km above the surface of the earth. The ET is dropped away tobreak up and land in the ocean, and the orbiter performs a final burn approximately 30 minuteslater to reach orbital altitude of around 320 km.The space shuttle experiences changes in altitude, velocity, and acceleration during the ascentinto space. These changes can be seen by taking a closer look at the entire ascent phase. Theascent process begins with the liftoff from the launchpad. As the SRBs burn their propellant andthe Main Engines burn fuel from the ET the space shuttle accelerates very rapidly. This high-rateof acceleration causes a rapid increase in dynamic pressure, known as Q. As the space shuttlebreaks the sound barrier, its structure can only withstand a certain level of dynamic pressurebefore suffering damage. Before this critical level is reached, the engines of the space shuttle arethrottled down to about 67% of full power to avoid damage. About 50 seconds after liftoff, thedynamic pressure reaches its maximum aerodynamic load (Max Q). The air density then dropsrapidly due to the thinning of the Earth’s atmosphere, and then the space shuttle can be throttleto full power without fear of damage since atmospheric drag is essentially zero at this point.As the space shuttle climbs, the velocity is increasing and the density of the air is decreasing.About 2 minutes after liftoff the atmosphere is so thin that the dynamic pressure drops to zero.The SRBs, having used all their propellant, are commanded by the space shuttle’s onboardcomputer to separate from the ET. The spent SRBs fall into the ocean and are recovered,refurbished, reloaded with propellant, and reused for several missions. The jettisoning of thesebooster rockets marks the end of the first ascent stage and the beginning of the second, whichwe will focus on for this project. The second phase of ascent lasts about six and a half minutes,at the end of which, the space shuttle maneuvers into orbit. Just prior to orbit, ET separationoccurs, and the ET re-enters Earth’s atmosphere, breaking up before falling into the ocean. Theentire ascent phase is summarized in the velocity and acceleration histories below. For thisproject we will focus on the portion of the ascent following SRB separation until the maximumacceleration is reached and levels off (120-460 seconds).Problem Statement:The velocity of the space shuttle from 120 to 460 seconds after liftoff is shown in the tablebelow at 20 second increments.

Time(s)
VerticalVelocity(m/s)
LongitudinalVelocity(m/s)
VelocityMagnitude(m/s)

120
647
1099
1275

140
590
1250
1382

160
503
1405
1492

180
445
1577
1639

200
366
1755
1793

220
311
1968
1992

240
245
2180
2194

260
186
2403
2410

280
126
2660
2663

300
80
2930
2931

320
33
3178
3178

340
0
3533
3533

360
-35
3840
3840

380
-50
4150
4150

400
-64
4645
4645

420
-70
5209
5209

440
-59
5599
5599

460
-41
6188
6188

Using MATLAB create a program or set of programs that performs the following tasks. You shouldcombine everything into a single script file that calls all the function files you have developed,divided into appropriate sections:(1) (20 points) Develop a function that will perform a 4th order polynomial regression todevelop fits to the data for vertical velocity, horizontal velocity, and total velocity.Determine the standard error of the estimate, sy/x, the coefficient of determination, r2,and the correlation coefficient, r for the fit. You can either develop one function that willread in all three sets of velocity data simultaneously or read the velocity data one at atime to develop the fits. Your input for the function should be vectors of time and velocity(vertical, horizontal, and total). Your output should be the coefficients for your 4th orderpolynomial regression of the form:𝑣𝑣(𝑡𝑡) = 𝑎𝑎0 + 𝑎𝑎1𝑡𝑡 + 𝑎𝑎2𝑡𝑡2 + 𝑎𝑎3𝑡𝑡3 + 𝑎𝑎4𝑡𝑡4Other output should include the standard error of the estimate, sy/x, the coefficient ofdetermination, r2, and the correlation coefficient, r, for the fit. Also, generate a plot of theoriginal data (denoted as open circles) along with the regression line for each velocitydata set. (Note: you may receive warning messages about your matrix being singular orbadly scaled, however you can safely ignore these warnings.)(2) (20 points) Using the 4th order fits obtained in part (1) calculate the ‘analytical’ equationsfor acceleration and distance traveled for both the vertical and horizontal components aswell as the magnitudes of each. Recall the acceleration is given by:𝑎𝑎(𝑡𝑡) =𝑑𝑑𝑣𝑣

𝑑𝑑𝑡𝑡𝑥𝑥(𝑡𝑡) = � 𝑣𝑣(𝑡𝑡)𝑑𝑑𝑡𝑡
and the distance is given by:

Get Professional Assignment Help Cheaply

Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?

Whichever your reason may is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.

Our essay writers are graduates with diplomas, bachelor’s, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college diploma. When assigning your order, we match the paper subject with the area of specialization of the writer.

Why Choose Our Academic Writing Service?

Plagiarism free papers
Timely delivery
Skilled, Experienced Native English Writers
Ability to tackle bulk assignments
Reasonable prices

How It Works

1.      Place an order

You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.

2.      Pay for the order

Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.

3.      Track the progress

You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.

The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

Get Professional Assignment Help Cheaply
Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent?
Whichever your reason may is, it is valid! You can get professional academic help from our service at affordable rates. We have a team of professional academic writers who can handle all your assignments.
Our essay writers are graduates with diplomas, bachelor’s, masters, Ph.D., and doctorate degrees in various subjects. The minimum requirement to be an essay writer with our essay writing service is to have a college diploma. When assigning your order, we match the paper subject with the area of specialization of the writer.
Why Choose Our Academic Writing Service?

Plagiarism free papers
Timely delivery
Skilled, Experienced Native English Writers
Ability to tackle bulk assignments
Reasonable prices

How It Works
1.      Place an order
You fill all the paper instructions in the order form. Make sure you include all the helpful materials so that our academic writers can deliver the perfect paper. It will also help to eliminate unnecessary revisions.
2.      Pay for the order
Proceed to pay for the paper so that it can be assigned to one of our expert academic writers. The paper subject is matched with the writer’s area of specialization.
3.      Track the progress
You communicate with the writer and know about the progress of the paper. The client can ask the writer for drafts of the paper. The client can upload extra material and include additional instructions from the lecturer. Receive a paper.
The paper is sent to your email and uploaded to your personal account. You also get a plagiarism report attached to your paper.

PLACE THIS ORDER OR A SIMILAR ORDER WITH ASSIGNMENT WORKER TODAY AND GET AN AMAZING DISCOUNT

The post Using Matlab to analyze shuttle launch into orbit appeared first on Essay fount.

#### What Students Are Saying About Us

.......... Customer ID: 12*** | Rating: ⭐⭐⭐⭐⭐
"Honestly, I was afraid to send my paper to you, but you proved you are a trustworthy service. My essay was done in less than a day, and I received a brilliant piece. I didn’t even believe it was my essay at first 🙂 Great job, thank you!"

.......... Customer ID: 11***| Rating: ⭐⭐⭐⭐⭐
"This company is the best there is. They saved me so many times, I cannot even keep count. Now I recommend it to all my friends, and none of them have complained about it. The writers here are excellent."