Core Dump #2 – 2018.12.31

1 Year Exactly 51 weeks ago, the first real Gereshes post came out. As of posting, 57 people have viewed it. In comparison, the most popular post from this year was viewed over 9000 times. It’s been a long year and a lot’s changed between those two posts. I figured I’d take this time between Christmas…

A Re-Introduction to New Horizons

New Year, New Science Next week, as we ring in the new year, a spacecraft called New Horizons will push the boundary of human knowledge by being the first spacecraft to preform a close flyby of a Kuiper belt object. This isn’t the first time the grand piano sized spacecraft has embiggen human knowledge. From…

Stability of the Lagrange Points – Three Body Problem

Recap of Lagrange Points In the circular restricted three body problem, there are a set of 5 points that if we place our spacecraft there, it’ll never move relative to the two bodies. These are called the Lagrange points and are the only equilibrium points for the system. Whenever we find an equilibrium point in…

Forbidden Regions and where to Find Them – The 3-Body Problem

Jacobi and Lagrange So far we have explored the Jacobi Integral and the Lagrange points. Now, we are ready to combine the two into one of the most useful concepts in the Circular restricted 3-Body Problem (CR3BP), forbidden regions. You’ve seen them in my visualizations before, but now we’ll finally go over what they are.…