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Month: February 2020

An Introduction to Stability

Note: This post is adapted from a lecture I gave to my undergrads. It’s focused on presenting the basics of stability for dynamical systems. The big question this lecture is intended to answer is what will our system do if we perturb it a small amount? This is not a rigorous treatment and in some…

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2020-02-24admin2 CommentsDynamic Systems, MathMath

Obtaining Equations of Motion: Newton vs Lagrange vs Hamilton

Note: This post is adapted from a lecture I gave to my undergrads. It’s focused on conveying the method and main idea behind the different formulations. This is not a rigorous treatment and in some locations, I have traded being technically correct for being clear. If you want a riggorous treatment of the material I…

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2020-02-17adminMath, Nonlinear, PhysicsMath

Bennu, Osirus Rex, and JPL’s Small Body Database

On September 4th, 2023, a sample return canister will hopefully plummet through the skies of Utah. This sample return canister, after being charred due to the heat of atmospheric re-entry, will be brought to Johnston space center where scientists will open it to reveal up to 2 kilograms of the asteroid Bennu. This will mark…

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2020-02-10adminAstrodynamics, Astrophysics, Physics

Lunar Lander Optimal Control Using Dash

Disclaimer: Plotly paid me to both make a dash app, as well as this post. Even before this I was a fan of Plotly’s products and used them in posts about missed thrust events  and visualizing periodic orbits. In those projects,  I used Plotly because they make some great visualization tools. You should check their…

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2020-02-03adminAstrodynamics, Math, Optimal Control, Sponsored

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