References

Astrodynamics

Wiki
http://en.wikipedia.org/wiki/Book:Astrodynamics

MIT
http://ocw.mit.edu/courses/aeronauti...2008/index.htm

Why MIT is the best school now teaching astrodynamics
http://www.youtube.com/watch?v=vU5G9VsoER8

JPL - Solar System Dynamics
http://ssd.jpl.nasa.gov/sbdb.cgi


Space Vehicle Dynamics & Control

Columbia
http://www.cvn.columbia.edu/review.p...0E4431&sem=A12

AIAA
http://www.goodreads.com/book/show/5...cs-and-control


Aeronautics and Astronautics

MIT Open Courseware
http://ocw.mit.edu/courses/aeronauti...tics/index.htm


Mathematics

Serge Lang - Basic Mathematics
http://www.scribd.com/doc/134718768/...ic-Mathematics

Serge Lang - Algebra
http://www.scribd.com/doc/93891127/Algebra-Serge-Lang

Serge Lang - Geometry
http://www.scribd.com/doc/83167472/S...urrow-Geometry

Serge Lang - Calculus of Several Variables
http://www.scribd.com/doc/31342446/C...les-Serge-Lang

Thomas Garrity - All the Mathematics you Missed
http://www.scribd.com/doc/12682510/a...ics-you-missed

Khan Academy
https://www.khanacademy.org/

MIT Open Courseware Mathematics
http://ocw.mit.edu/courses/mathematics/index.htm



Garrity has an excellent introduction to the entire field in his 'Brief Summaries of Topics' - this includes;

Linear Algebra - linear transformations and vector spaces
Real Analaysis - limits, continuity, differentiation integration
Differentiating Vector Valued Functions - Inverse Function Theorem
Point Set Topology - Define a topology in terms of functions
Classical Stokes' Theorems - Calculus of vector fields
Differential Forms and Stokes' Theorem - manifolds
Geometry - how geometries arise from algebras
Complex Analysis - how a function can be analytic.
Countability and the Axiom of Choice -
Algebra - groups, the basic object of study.
Lebesgue Integration - Sets of measure zero
Fourier Analysis - Hilbert spaces.
Differential Equations -
Combinatorics and Probability Theory -
Algorithms -

Master these subjects and you won't need to defer to self-styled experts in figuring things out.