EAS4510 - Astrodynamics

Spring 2019

COURSE INSTRUCTOR

Instructor: Dr. Anil V. Rao, MAE-A 314, E-mail: anilvrao@ufl.edu. Tel: 352-392-5523 (Office); (352) 672-1529 (Mobile, for Calls and Texts). All contact methods are acceptable!

COURSE OBJECTIVES

- Characterize and understand the key properties of the motion of a spacecraft in orbit under central body gravitation.
- Design basic impulsive in-plane and out-of-plane maneuvers to transfer a spacecraft between two orbits.
- Perform preliminary analysis for space missions including missions where a spacecraft is transferred between two bodies.
- Understand the motion of a spacecraft under the influence of non-central gravity perturbations.

IMPORTANT NOTE

I consider it an honor and a privilege to be able to teach all of you, and I intend to provide the best instruction possible in order to enable you to learn the material well. If you cannot make office hours, please contact me and we will set up a time for you to get help. Regardless of how busy I am with other things, I will do what I am able to make myself available.

APPROXIMATE SCHEDULE FOR MATERIAL

Topic

Review of Newtonian

Mechanics

Motion of a Spacecraft Under Central Body Gravitation

Parameterization of Orbit in Space Using Position and Velocity

Determination of Position and Velocity from Orbital Elements

Determination of Time

on an Orbit and Position on an Orbit Given Time

In-Plane and Out-of-Plane

Impulsive and Non-Impulsive

Orbital Transfer

Inter-Body Trajectories and Orbital Transfer Between Two Bodies

Non-Central

Body Gravitation

Material Covered

Particle Kinematics and Kinetics, Rigid Body Kinematics and Kinetics

Formulation and Solution of Two-Body Differential Equation

Computation of Orbital

Elements from Position and Velocity

Computation of Position and Velocity Given Orbital Elements

Definition of Eccentric Anomaly. Solution of Kepler's Equation Using Eccentric Anomaly

Hohmann/Bi-Elliptic Transfer; Phase / Apsis / Inclination Change; Rocket Equation

Patched-Conics; Launch Windows; Mid-Course Corrections; Fly-Bys

Perturbations, Rendezvous, and Relative Motion

Schedule

Weeks

1 and 2

Week

3

Week

4

Week

5

Weeks

6 and 7

Weeks

8 Through 10

Weeks

11 and 12

Weeks

13 and 14

COURSE LOCATIONS AND CLASS PERIODS

MWF Period 6 (12:50 PM to 1:40 PM). Room: Little Hall 109

OFFICE HOURS

Name

Office Hours

E-mail Address

Anil Rao (Instructor)

MW: 2:00 PM - 3:30 PM

or by appointment. Please do not hesitate to contact me by e-mail, mobile phone, or text message if you need help!

Brittanny Holden (TA)

Joseph Eide (TA)

Tu: Periods 4 - 6 (NEB 109)

Th: Periods 4 - 6 (NEB 109)

TEXTBOOK

Pressing, J. E. and Conway, B. A, *Orbital Mechanics *, Second Edition. Oxford University Press.

COURSE NOTES

I have created a set of typeset notes for the course. These notes are continually being updated. The current version of the notes are available by clicking here.

PROGRAMMING LANGUAGE REQUIREMENTS

You must be fluent in at least one of the following programming languages: C, C++, Java, or MATLAB, but it is strongly preferred that all programming be done in MATLAB. Whichever programming language you choose, you must have access to the requisite software or compilers required to use that programming language.

HOMEWORK ASSIGNMENTS

The homework will consist of three major homework assignments and a final project. __All assignments are due at 5:00 PM on the due date and must be submitted through the Canvas course page on the University of Florida E-learning website__.

Assignment

Assignment

Due Date

Homework #1

Homework #2

Homework #3

Background Material

Chapter 1 Problems

Chapter 2 Problems

18 January 2019

30 January 2019

20 February 2019

Homework #4

Chapter 3 Problems

13 March 2019

Homework #5

Homework #6

Chapter 5 Problems

Chapter 6 Problems

3 April 2019

17 April 2018

Bonus #1:

STK Level 1 Certification

Bonus #1:

STK Level 2 Certification

Register at https://www.agi.com/training#cert

Register at https://www.agi.com/training#cert

24

April

24

April

EXAM SCHEDULE, FORMAT, AND EXPECTATIONS

Quiz

Contents

Due Date

Take-Home Quiz #1

Take-Home Quiz #2

Based on HW #1 and #2

Based on HW #3

1 - 4 February 2019

22 - 25 February 2019

Take-Home Quiz #3

Based on HW #4

15 - 18 March 2019

Take-Home Quiz #4

Based on HW #5

5 - 8 April 2019

Take-Home Quiz #5

Based on HW #5

19 - 22 April 2018

QUIZ FORMAT

The course will have five *take-home* quizzes. Each quiz will be made available at 5:00 PM on a Friday and will be due the following Monday by noon. Late quizzes will not be accepted under any circumstances except the usual exceptions (illness or other emergency). Each quiz will require the use of MATLAB along with an understanding of the key concepts. Thus, it is *extremely important* that you understand the theory in addition to just being able to solve problems. Furthermore, the quizzes will require knowledge gained in the process of completing the homework assignments. Your grade on the take-home quizzes will be reflected in any procrastination in completing homework assignments.

MATERIALS PERMITTED FOR USE DURING EXAMS

All quizzes are open book and open notes. Any copying from any sources (including, but not limited to, other students quizzes, books, and resources available on the internet) will be considered cheating. All quizzes will be sent through the TurnItIn software on Canvas to check against all aforementioned material. Any student found to have copied will be in violation of the cheating policy in the course (see below).

ATTENDANCE RULES

Regular attendance is expected of all students. All attendance rules will be follow the official University of Florida Attendance Policies as found by clicking here. Attendance will be monitored via in-class quizzes that will not be announced in advance of the lecture (see grading below).

CHEATING

Cheating of any kind in this course will be enforced in accordance with the university rules. Any violation of any kind (even something as simple as a single line of code that is identical in the homework of two students) will automatically result in an "E" in the course and will reported as appropriate.

MAKE-UP QUIZ POLICIES

The following list comprises the only legitimate reasons to request a make-up for a quiz: (1) a student illness with a note from a physician that the student was ill on the date of the exam; (2) a family emergency that requires immediate attention; (3) a legitimate absence based on the University of Florida approved absences for University related participation in extra-curricular activities; (4) University of Florida exam policies based on a conflict with an exam in another course. Because the quizzes are being held in class, no make-up will be permitted for any exams in other courses that may be held that same day.

COURSE GRADING

**Item**

Homework Assignments

Take-Home Quizzes

Bonus #1 (STK Level 1 Certification)

Bonus #2 (STK Level 2 Certification)

Total

**Percent Value**

6 @ 10 Percent = 60 Percent

5 @ 8 Percent = 40 Percent

10 Percent

10 Percent

**100 Percent + 20 Percent Bonus**

IMPORTANT NOTE: The unannounced in-class quizzes are purely for attendance purposes. As such, these in-class quizzes will not be graded (they are purely self-diagnostic so that each of you can get a sense as to whether or not you understand a particular concept), but missing a quiz on account of an unexcused absence will result in a lowering of a student's final grade in the manner described above (that is, a deduction of one step for each missed quiz on account of an unexcused absence).

GRADING SCALE

Grades in this course are determined using the following scale:

**Letter Grade**

A

A-

B+

B

B-

C+

C

C-

D+

D

D-

E

**Score Range**

95 and Above

90 to less than 95

85 to less than 90

80 to less than 85

75 to less than 80

70 to less than 75

65 to less than 70

60 to less than 65

55 to less than 60

50 to less than 55

45 to less than 50

Less Than 45

NOTES ON ASSIGNMENT OF FINAL LETTER GRADES

- The grading scale above reflects the minimum that is required to receive a particular grade in the course.
- I reserve the right to uniformly increase all grades in the course by including a constant shift in the above grading scale. For example, if you receive a 93 (which, according to the grading scale, is a grade of "B+") and I shift the scale by two points, then I will add two points to your final grade which would give you a 95 (thereby making your final grade an "A-").
- Any score on the boundary between two ranges will receive the higher grade (for example, a 94 receives a grade of "A-").
- Finally, it is noted that while your individual scores for assignments, exams, and quizzes will be posted on E-learning (Canvas), the Canvas portal may not accurately reflect a student's relative standing in the class. Regardless of the information that is seen in Canvas, computation of final grades will be based on the criteria set forth above and a student's grade will only be final when grades have been computed at the end of the semester.