Lecture Notes | Astrodynamics | Aeronautics and Astronautics | MIT OpenCourseWare

Course Info

Instructor

Prof. Richard Battin

Departments

Aeronautics and Astronautics

As Taught In

Fall 2008

Level

Graduate

Topics

Engineering
- Aerospace Engineering
  - Astrodynamics
  - Guidance and Control Systems

Learning Resource Types

Lecture Notes

Problem Sets with Solutions

Download Course

Lecture Notes

Analytic and Geometric Properties of the BVP

Barker's Equation and Kepler's Equation

Basic Elements of the Three Body Problem

Effect of Atmospheric Drag on Satellite Orbits

Estimation of Position and Velocity in Space Navigation

Euler Angles

Gauss' Method for the Time-Constrained BVP

Hyperbolic Orbits

Hypergeometric Functions and Continued Fractions

Lambert's Theorem and the Lagrange Time Equation

Non-singular "Gauss-like" method for the BVP

Optimum Orbital Transfer

Patched Conics and Planetary Flybys

Powered Flight Guidance

Powered Flight Guidance to Maximize Final Energy

Preliminary Orbit Determination Using Taylor Series

Runge-Kutta Method of Numerical Integration

Space Navigation: The Position Fix

The Battin-Vaughan algorithm for the BVP

The Calculus of Variations and Lunar Landing Guidance

The Clohessy-Wiltshire Equations of Relative Motion

The Covariance, Information and Estimator Matrices

The Disturbing Function and Legendre Polynomials

The Fundamental Ellipse of the BVP

The Initial-Value Problem

The Orbital Boundary-Value Problem

The Restricted Problem of Three Bodies

The State Transition Matrix

The Two Body Problem

The Two Body Problem Continued

Transformation of the Boundary-Value Problem

Variation of Parameters

Effect of J2 on a satellite orbit of the Earth

Course Info

Instructor

Prof. Richard Battin

Departments

Aeronautics and Astronautics

As Taught In

Fall 2008

Level

Graduate

Topics

Engineering
- Aerospace Engineering
  - Astrodynamics
  - Guidance and Control Systems

Learning Resource Types

Lecture Notes

Problem Sets with Solutions

Download Course

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