Orbital Mechanics and Mission Simulation

Orbital Mechanics












 

  • Orbital Mechanics and Mission Simulation will familiarize the student with the essential features of space flight dynamics for various types of space missions and will cover the requirements and design considerations for mission simulation systems.

  • New joint course with the International Institute for Astronautical Sciences (IIAS)

  • All students will receive a joint AIAA/IIAS Certificate of Completion at the end of the course.

OVERVIEW
This course provides an overview of orbital and attitudinal dynamics. The intent is to provide a meaningful understanding of spacecraft flight dynamics with minimal mathematical emphasis. Thus, the student will gain sufficient knowledge that, when presented with a mission profile will have a conceptual understanding of the flight profiles and the sequence of events within the context of a mission simulation.

LEARNING OBJECTIVES
Upon completion of the course, students will be able to:

  1. Explain the relationship of gravity and velocity in establishing suborbital, orbital, and escape trajectories.
  2. Describe an orbit around a celestial body using classical Keplerian Elements.
  3. Explain the use of velocity changes to change from an existing to a desired trajectory.
  4. Demonstrate the use of simplified linearized approximations and their effective use in rendezvous and proximity operations in preparation for docking.
  5. Describe profiles for establishing departure, rendezvous, encounters, entry, and landings between planets or other celestial bodies.
  6. Describe vehicle attitude representations and control methods.
  7. Identify the key elements and considerations for space system simulation design.
  8. Perform basic flight dynamics modeling using the NASA General Mission Analysis Tool (GMAT) software application.

AUDIENCE: Professionals, graduate students, upper-division undergraduate students.

COURSE INFORMATION
Type of Course: Instructor-Led Short Course
Course Level: Fundamentals
Course Length: 3 days
AIAA CEU's available: Yes
Outline
  • Lecture 1. Introduction to Orbital Mechanics
    • Course overview
    • Vectors and Kinematics
    • Mass, Force, and Newton’s Law of Gravitation
    • Why Satellites Orbit
    • Angular Momentum
    • The Energy Law
    • Newton’s Laws of Motion
  • Lecture 2. In-Plane Orbital Motion
    • Kepler’s Laws
    • The Two-Body Problem
    • Orbital Position as a Function of Time
    • Time Since Periapsis
  • Lecture 3. Orbital Motion in Space
    • Coordinate Systems
    • Coordinate Transformations
    • Inertial Versus Rotating Coordinates
    • Transformations to Orient the Orbital Plane in Three Dimensions
    • The Keplerian Orbital Representation
    • Extension to Parabolic and Hyperbolic Trajectories
  • Lecture 4. Introduction to Rocket Dynamics
    • Introduction
    • Equations of Motion
    • Rocket Equation
    • Rocket Performance
  • Lecture 5. Orbital Maneuvering – Changing or Maintaining a Trajectory
    • Impulsive versus non-impulsive maneuvers
    • Intrack maneuvers
    • The Hohmann Transfer
    • Bielliptic Transfer
    • Apsidal Line Rotation
    • Chase (Intercept) Maneuvers
    • Plane Change Maneuvers
  • Lecture 6. Intercept, Proximity Operations, and Rendezvous
    • Introduction to the Lambert [Intercept] Problem
    • Clohessy-Wiltshire [Hills] Equations as a Linearized Approximation
    • Rendezvous – matching target velocity
    • Docking
  • Lecture 7. Intercept, Proximity Operations, and Rendezvous
    • ISS Life Support System
    • ECLSS
    • Environmental Control & Life Support Systems for Human Spaceflight
    • International Space Station Environmental Control and Life Support System
  • Lecture 8. Introduction to Orbital Perturbations
    • Sources of Perturbative Accelerations
    • Variation of Parameters
    • Effect of Planetary Oblateness
    • Numerical Integration
    • High Fidelity Perturbational Modeling
  • Lecture 9. Lunar Trajectories
    • Circular Restricted Three Body Problem
    • Earth Departure
    • Lunar Encounters
    • Libration Points and Halo Orbits
    • Near Rectilinear Halo Orbit (NRHO)
  • Lecture 10. Interplanetary Trajectories
    • Interplanetary Hohmann Transfer
    • Planetary Departure
    • Planetary Flyby
    • Planetary Capture
  • Lecture 11. Rigid Body Dynamics
    • Kinematics
    • Moments of Inertia
    • Torque Effects
    • The Spinning Top
    • Yaw, Pitch, and Roll Angles
    • Quaternions
  • Lecture 12. Considerations for Space System Simulation
    • Simulation basics
    • Simulation for Mission Rehearsal
    • Fidelity: Software versus Hardware-in-the-Loop
    • Simulator Architecture
    • Simulation Conduct
Materials
 
Instructors
Ken Ernandes is an Aerospace Engineer specializing in Space Flight Dynamics. He is employed by L3Harris Technologies and as an Adjunct Professor at Florida Institute of Technology. He is a former U.S. Air Force officer where he was the Chief Orbital Analyst Instructor for the North American Aerospace Defense Command (NORAD). He also had the opportunity to train in Air Combat Maneuvering as a member of the 71st Tactical Fighter Squadron, flying the F-15 Eagle. Ken has a Bachelor of Science degree in Physics/Mathematics from Manhattan College and a Master of Engineering degree in Aerospace Engineering Sciences from the University of Colorado at Boulder He has two patents applying Kalman filtering: one for calibrating non-uniformity of hyperspectral imagers and one for geo-locating seaborne vessels from space using their Automatic Identification System (AIS) signals.

Ken has had the privilege of working with numerous space systems including NAVSTAR GPS and the GOES-R series of meteorological satellites, as well as being a member of the Amateur Radio on the International Space Station (ARISS) Inter-Operable Radio System (IORS) development team. For ARISS IORS he is primarily responsible for tracking hardware compliance against the rigid NASA crew safety requirements, coordinating with the design engineers, and preparing the corresponding documentation that is delivered to NASA.

 

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