This project is assisting the Naval Research Laboratory with analysis of data it collected on a satellite mission. The posted EXCEL file when loaded provides the vectors, tcm, xcm, ycm, zcm, t, x, y, and z. The t vector contains the times of the observations in seconds. The x, y, and z vectors contain the 3D position data in kilometers. The center of mass of the system are the vectors with cm in the name. The first observation consists of the first element of each vector, the second observation consists of the second element of each vector, and so on. The data for the center of mass are in uniform steps of 1 second. The data for the observations of the endmass are not in uniform time steps because there were instances where the data was not collected. Make sure that when you are comparing the position of the endmass to the position of the center of mass that the two positions are at the same time.
Define the difference between the endmass and the center of mass as:
where for each endmass observation time the differences are calculated.
The relative displacements next should be converted to a spherical coordinate system:
where the relative distance, ρ = k[∆x,∆y,∆z]k2 and the angles α and θ define the coordinates the problem will be working in.
Your analysis needs to determine appropriate equations for ρ¨, α¨, and θ¨. In addition, your analysis needs to determine the initial values of ρ˙, α˙, and θ˙. These three equations and three values are to be included in the text of your report. Time plots of the calculated (using the second derivative equations and initial conditions) range and angular measurements are to be included as well as time plots of the rates of the three values. In addition, time plots of the residuals of the range and angles should be included. Based on the calculated values, the cartesian coordinates of the endmass should be determined and those residuals as well should be plotted as a time plots. The sum of the square of the position error needs to be calculated and included in the report. The project with the lowest sum of the square of the position error will receive extra credit.
Plagiarism Free Papers
All our papers are original and written from scratch. We will email you a plagiarism report alongside your completed paper once done.
All papers are submitted ahead of time. We do this to allow you time to point out any area you would need revision on, and help you for free.
A title page preceeds all your paper content. Here, you put all your personal information and this we give out for free.
Without a reference/bibliography page, any academic paper is incomplete and doesnt qualify for grading. We also offer this for free.
Originality & Security
At Homework Valley, we take confidentiality seriously and all your personal information is stored safely and do not share it with third parties for any reasons whatsoever. Our work is original and we send plagiarism reports alongside every paper.
24/7 Customer Support
Our agents are online 24/7. Feel free to contact us through email or talk to our live agents.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
We work around the clock to see best customer experience.
Our prices are pocket friendly and you can do partial payments. When that is not enough, we have a free enquiry service.
Admission help & Client-Writer Contact
When you need to elaborate something further to your writer, we provide that button.
We take deadlines seriously and our papers are submitted ahead of time. We are happy to assist you in case of any adjustments needed.
Your feedback, good or bad is of great concern to us and we take it very seriously. We are, therefore, constantly adjusting our policies to ensure best customer/writer experience.