EAS4510 - Astrodynamics

Spring 2020

COURSE INSTRUCTOR

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

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

OFFICE HOURS

Name

Hours and Location

E-mail Address

Anil Rao (Instructor)

Monday/Wednesday/Friday:

2:00 PM — 4:00 PM

Tuesday/Thursday

10:00 AM — 12:00 PM

Location: Reitz Union Food Court

Note: I am also *most definitely* available by appointment or via e-mail, mobile phone, or text message. Please do not hesitate to contact me by any of these methods if you need help!

**Note:**if for some reason you are unable to make my office hours, you can always schedule an appointment at a time that is mutually agreeable to both you and I.

TEXTBOOK

*Orbital Mechanics*, Second Edition. Oxford University Press, 2012

2.

*MATLAB for Dummies*, Second Edition, John Wiley & Sons, 2014.

COURSE NOTES

PROGRAMMING LANGUAGE REQUIREMENTS

HOMEWORK ASSIGNMENTS

__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__. The bonus assignments (STK Level 1 and STK Level 2 Certifications) can be completed by by clicking here.

Assignment

Assignment

Due Date

Homework #0

Homework #1

Homework #2

Background Material

Chapter 1 Problems

Chapter 2 Problems

17 January 2020

3 February 2020

24 February 2020

Homework #3

Chapter 3 Problems

20 March 2020

Homework #4

Homework #5

Chapter 5 Problems

Chapter 6 Problems

8 April 2020

22 April 2020

Bonus #1

Bonus #2

STK Level 1 Certification

STK Level 2 Certification

24 April 2020

24 April 2020

MINI-PROJECT SCHEDULE

Mini-Project

Contents

Date Assigned

Date Due

Mini-Project #1

Mini-Project #2

Mini-Project #3

Mini-Project #4

Material Through HW #1

Material Through HW #2

Material Through HW #3

Material Through HW #4

3 February 2020

24 February 2020

23 March 2020

13 April 2020

10 February 2020

2 March 2020

30 March 2020

20 April 2020

IN-CLASS QUIZ SCHEDULE

In-Class Quiz

Contents

Date

In-Class

Quiz #1

In-Class

Quiz #2

In-Class

Quiz #3

Based on Material

Through HW #1

Based on Material

Through HW #3

Based on Material

Through HW #4

In-Class

21 February 2020

In-Class

25 March 2020

In-Class

20 April 2020

MINI-PROJECT ORMAT

The course will have four mini-projects. Each mini-project will be made available at 5:00 PM on a Friday and will be due the following Friday by noon. Late mini-projects will not be accepted under any circumstances except the usual exceptions (illness or other emergency). Each mini-project 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 mini-projects will require knowledge gained in the process of completing the homework assignments. Your grade on the mini-projects will be reflected via any procrastination in completing homework assignments.

IN-CLASS QUIZ FORMAT

The course will have three *in-class* quizzes. Each of these quizzes will be during the regular class period and will be 45 minutes in duration. These quizzes will consist of short answer questions or questions that can be answered with calculations that can be performed using a scientific calculator. The objective of these quizzes is to test an understanding of basic concepts studied to that point in the course.

MATERIALS PERMITTED FOR USE DURING EXAMS

All mini-projects and in-class quizzes are open book and open notes. Aside from the notes and the book, no other materials except a computer (to use MATLAB) or a calculator (for in-class quizzes) is permitted. Copying from any unallowable source (including, but not limited to, other students quizzes and resources available on the internet) will be considered cheating. All mini-projects and 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

CHEATING

MAKE-UP QUIZ POLICIES

COURSE GRADING

**Item**

Homework Assignments

Mini-Projects

In-Class Quizzes

Bonus #1 (STK Level 1 Certification)

Bonus #2 (STK Level 2 Certification)

Total

**Point Value**

6 @ 5 Points = 30 Points

4 @ 10 Points = 40 Points

3 @ 10 Points = 30 Points

5 Points

5 Points

**100 Points + 10 Points Bonus**

GRADING 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 posted above is not flexible.
- 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.