Complex/Dynamical Systems Seminar - Bob Easton

Bob Easton, Department of Applied Mathematics, University of Colorado Boulder

Spacecraft Mission Design

Mission design combines dynamics, control theory, and computation.

Newton’s laws and computational tools are used to design spacecraft orbits to explore our solar system. Onboard controls are used to change the velocity and orientation of a spacecraft.

When Newton’s equations of motion are formulated as a Hamiltonian system, the constant energy levels of the Hamiltonian are invariant with respect to the dynamics. Velocity changes can be used to change energy levels. For example one may want to travel from a circular low earth orbit to another circular orbit of larger radius.  The Hohmann transfer does this using an elliptic orbit tangent to both circular orbits. The velocity changes are made at the tangency points. In general going from an initial condition or invariant set on one energy level of a Hamiltonian system to a final condition or invariant set on another level of the system with constraints on changes in velocity and transfer time is the problem that will be discussed in the context of the circular restricted three-body problem. 

Thursday, September 13, 2018 at 2:00pm to 3:00pm


Engineering Center, ECOT 226
1111 Engineering Drive, Boulder, CO 80309

Event Type

Colloquium/Seminar

Interests

Science & Technology, Research & Innovation

Audience

Faculty, Students, Graduate Students, Postdoc

College, School & Unit

Engineering & Applied Science

Tags

complex systems, dynamical systems

Group
Applied Mathematics
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