FUNDAMENTALS OF ASTRODYNAMICS HANDBOOK: A Practicing Engineer's Reference to Spacecraft Trajectory, Mission Analysis and Orbit Design

Spacecraft trajectory design rewards derivation and punishes shortcuts. An engineer who trusts a formula without understanding where it comes from is one sign error away from a costly mistake — and a student who memorizes a result without seeing it worked through a real calculation has not really learned it yet. Most resources on orbital mechanics force a choice between two failure modes. Theoretical treatments derive the mathematics in full but rarely carry it through a complete, hand-checkable worked example, leaving the reader unsure how the equations actually behave with real numbers. Applied references go the other way, presenting formulas to plug into without explaining where they come from, making them difficult to adapt confidently to a new problem or trust when something looks wrong. For a working engineer or a serious student, neither approach on its own is enough. This handbook is built to close that gap. It derives every governing equation from first principles, beginning with the two-body equation of motion, and then works every result through in full — real numbers, complete unit tracking, and an independent check wherever one is available — so you can trust each formula and see exactly how it behaves in practice. Inside, this handbook gives you: Complete derivations — from Kepler's three laws through the equations governing rendezvous, perturbed motion, and multi-body trajectory design, so every formula's assumptions and limits are clear before you apply it 57 fully solved numerical examples with complete unit tracking, many independently cross-checked, showing exactly how each method behaves on a real problem — not an idealized one Boxed, fully worked answer keys for every end-of-chapter practice problem, so you can confirm the reasoning, not just the final number One consistent notation system, carried without change from the first chapter to the last, so nothing needs to be relearned between topics A single, complete reference spanning orbit determination, maneuver design, perturbation theory, and multi-body mission design — no assembling several disconnected sources A clear sense of every method's assumptions and limits, so a result can be trusted for the regime it was actually derived for, and never stretched beyond it Major topics covered: Two-body orbital mechanics and orbit classification Orbital elements and coordinate systems Orbit determination from observations Time-of-flight propagation and Kepler's problem The Lambert problem Impulsive orbital maneuvers and transfers Rendezvous and relative motion Ballistic trajectory analysis Special and general perturbation theory Lunar and interplanetary trajectory design Low-thrust propulsion and satellite constellation design Modern orbit-determination methods and integrated mission case studies Who this is for: upper-level engineering students, graduate students, and practicing aerospace engineers who need a dependable working reference for spacecraft trajectory analysis and mission design — plus instructors and self-directed learners who want one volume that derives the mathematics and proves it against real, verified calculations. Add this handbook to your working reference shelf, and start deriving, working through, and verifying the orbital mechanics that spacecraft trajectory design depends on.