Orbital Mechanics for Engineering Students, Third Edition, introduces spacecraft motion and trajectory analysis for undergraduate aerospace engineers. Howard D. Curtis builds from vector kinematics and Newtonian mechanics to orbital elements, transfers, perturbations, and interplanetary flight. Worked examples and numerical methods connect mathematical development with satellite and mission problems.
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The early material establishes the mechanics needed to describe motion in space, including vectors, gravitation, and the two-body problem. Orbital elements connect position and velocity calculations with the geometry of a trajectory, providing a framework for understanding Earth-centered and interplanetary orbits.
Trajectory design includes Hohmann transfers and gravity assists, followed by departures from ideal Keplerian motion. Perturbation topics consider Earth's oblateness, atmospheric drag, and third-body effects. Numerical orbit propagation and MATLAB-based methods accompany the analytical treatment. Aerospace engineering students can follow the worked examples and homework exercises as part of an astrodynamics course, while readers studying spacecraft dynamics can focus on the connection between orbital calculations and mission analysis.
Written for aerospace undergraduates, this text turns Newtonian mechanics into practical tools for spacecraft trajectories. Curtis moves from vectors and gravitation to orbital elements, transfer design, and disturbance analysis, with worked examples and computer-based exercises that mirror the calculations engineers perform during mission planning.
The sequence starts with the vector and kinematic background required for three-dimensional motion, then states the gravitational two-body problem and solves it. Converting orbital elements to position-velocity vectors and back becomes a recurring skill, supported by procedures for determining an orbit from observations. Maneuver planning follows, including single-burn changes and transfer arcs between orbits, before the discussion widens to planetary departure and flyby geometry. The later material confronts departures from the ideal model caused by oblateness, drag, and other bodies, and introduces numerical integration as the practical response. Software exercises run alongside the analytical development.
Motion in space is first described with position, velocity, and acceleration vectors expressed in rotating or inertial frames. Newton's gravitational law then supplies the force model, and the reduction of a two-body system to an equivalent one-body problem sets up everything that follows.
Six parameters fix an orbit, and the text shows how each one corresponds to an observable feature of the path. Equations linking those elements to instantaneous position and velocity are derived and then inverted, so calculations can proceed in either direction depending on what is known.
Practical work begins with incomplete measurements. The book presents methods for extracting an initial orbit from angles, ranges, or a short arc, and it discusses the sensitivity of the result to observational error. These techniques connect textbook geometry with tracking data.
Changing an orbit requires velocity increments, and the text quantifies their cost. Coplanar transfers, plane changes, and combined maneuvers are analyzed with the impulse approximation, and phasing and rendezvous are treated as timing problems layered on top of geometry.
Leaving Earth's neighborhood introduces the sphere-of-influence concept and hyperbolic escape asymptotes. The text assembles patched-conic solutions for planetary arrival, and gravity assists are explained as momentum exchange with a moving planet rather than a free gain in speed.
Kepler's solution is an idealization, and the final themes catalogue what spoils it. Nonspherical gravity, atmospheric friction, and third-body pulls are described qualitatively and with perturbation equations, while numerical integration and software tools are offered as the general solution method.
Undergraduate aerospace engineering students in an astrodynamics course, plus practicing engineers refreshing trajectory fundamentals.
Edition, audience, and study-guide details at a glance.
Orbital Mechanics for Engineering Students, Third Edition, introduces spacecraft motion and trajectory analysis for undergraduate aerospace engineers. Howard D. Curtis builds from vector kinematics and Newtonian mechanics to orbital elements, transfers, perturbations, and interplanetary flight. Worked examples and numerical methods connect mathematical development with satellite and mission problems.
This listing is for the 3rd edition. Check the title, ISBN, and book details above before ordering, especially if your course or reading list names a specific edition.
Undergraduate aerospace engineering students in an astrodynamics course, plus practicing engineers refreshing trajectory fundamentals.
Yes. This page includes an original study guide with six thematic sections, key takeaways, and a topic map for structured reading.
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