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# Orbit Mechanics

## AAE53200

3

### Learning Objective:

Introduce students to spacecraft orbital dynamics and the issues associated with orbital control and station keeping. Primary focus in regimes where two-body analysis and conics are a valid model. Computation and implementation of impulsive maneuvers in three dimensions; transfer orbits and Lambert's theorem to support discussions of mission trajectory design. Impact of the trajectory on other subsystems.

### Description:

Natural behavior of planets and moons in the solar system as well as spacecraft motion: orbit dynamics, perturbations, and stability; trajectory control, on-orbit maneuvers, and transfers; mission design, patched conics.
F2018 Course AAE532 Syllabus

### Topics Covered:

1. Introduction to the laws of Kepler and Newton; universal gravitation and integrals of motion.2. Fundamental concepts associated with the two-body problem and conics; orbital elements.3. Orbital maneuvers: (1) orbit establishment; (2) single impulse adjustments; (3) multiple impulse transfers including Hohmann transfers, local gravity fields and flybys, Hoelker and Silber transfers, Lambert time-of-flight theorem, three-dimensional transfers; (4) mission design issues.4. Orbital perturbations including Euler-Hill equations for two-close orbiters and some navigational issues.

### Prerequisites:

1. Calculus and differential equations through ODEs 2. Vector mechanics; particle/rigid body kinematics and dynamics; three-dimensional coordinate systems and transformations 3. Some introduction to perturbations and linear algebra 4. Numerical methods and tools such as MATLAB.

### Applied / Theory:

https://mycourses.purdue.edu/

### Web Content:

Syllabus, Grades, Lecture Notes, Homework Assignments and Solutions.

Homework 55%

None.

### Exams:

Two midterms and a final exam.

### Textbooks:

Official textbook information is now listed in the Schedule of Classes. NOTE: Textbook information is subject to be changed at any time at the discretion of the faculty member. If you have questions or concerns please contact the academic department.
Tentative: No textbook required.

### Computer Requirements:

ProEd Minimum Computer Requirements

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