PHYS 4110 – Dynamics of Space Vehicles

Chapter 1 Introduction

Dr. Jinjun Shan, Professor of Space Engineering

Department of Earth and Space Science and Engineering Room 255, Petrie Science and Engineering Building

Tel: 416-736 2100 ext. 33854 Email: jjshan@yorku.ca

Homepage: http://www.yorku.ca/jjshan

Earth, Moon, Mars, and Beyond

Introduction - 2Prof. Jinjun Shan

Course Description

The dynamics of space vehicles in the near Earth and deep space environments, including the rocket dynamics, the classical theory of orbits, the effects of perturbations on satellite orbits, orbital maneuvers, relative motion and rendezvous, interplanetary trajectories, and attitude dynamics and control.

Goal: To introduce students to the dynamics and control problems of modern space vehicles.

Course webpage: http://www.yorku.ca/jjshan/phys4110

Introduction - 3Prof. Jinjun Shan

Lecture Time

Period: January 5 – April 5, 2016

Time:

Tuesday and Thursday: 10:00 – 11:30am Location:

BRG 213 Office Hours:

Thursday, 3:30 – 5:00pm or by appointment

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Topics To Be Covered

Rocket Dynamics

Orbital and Attitude Dynamics

Reentry Dynamics

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Topics To Be Covered

n  Overview and Introduction n  Particle dynamics/dynamics of point mass (~2 lectures)

n  Two body problem (~3 lectures) n  Orbital elements (~1 lecture) n  Coordinate transformations (~1 lecture) n  Orbital perturbation theory (~1 lecture) n  Orbital maneuvers (~3 lectures) n  Relative motion and rendezvous (~1 lectures) n  Interplanetary trajectories and launch windows (~3-4 lectures)

n  Rocket vehicle dynamics (will not teach)

n  Rigid-body dynamics (~2 lectures) n  Satellite attitude dynamics (~2 lectures)

Orbital D

ynamics

Attitude

Dynam

ics R

ocket D

ynamics

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Textbook

n  H. Curtis Orbital Mechanics for Engineering

Students 3rd Edition, Elsevier, 2013

n  Lecture Notes

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Assignments and Grading

n  Homework 20% ~ one/chapter

n  Midterm 20% (February 7, 2017) closed-book

n  Final Exam 60% closed-book

Homework assignments should be completed in a professional manner. Typesetting is not required, but handwritten work should be neat and legible. Email submission is NOT accepted!

Introduction - 8Prof. Jinjun Shan

What are Vehicles?

n  A vehicle is a mechanical system for transporting objects: n  oxcarts, chariots, ships, bicycles, motorcycles,

automobiles, airplanes, spacecraft, submarines, rockets, missiles, …

n  In this course, we are primarily interested in vehicles in space whose three-dimensional motion is reasonably well-approximated by a combination of point-mass and rigid-body models: n  spacecraft, rockets, missiles, airplanes, …

Introduction - 9Prof. Jinjun Shan

Roll, Pitch and Yaw

Introduction - 10Prof. Jinjun Shan

Roll, Pitch and Yaw

Roll Axis

Roll

Yaw Axis Yaw

Pitch Axis

Pitch

Note: RPY Axes can vary significantly from spacecraft to spacecraft, depending on the specifics of a particular spacecraft’s mission.

Introduction - 11Prof. Jinjun Shan

Roll, Pitch and Yaw

Illustration from on-line notes of T. I. Fossen, author of Guidance and Control of Ocean Vehicles, Wiley, 1994