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Dynamics of the 3-Body Problem
Recap In the last post we introduced the 3-body problem along with some constraints that turned it into the circular restricted 3-Body Problem (CR3BP). In the beginning of that post, I had a GIF that...
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Jacobi and his Constant – The 3-Body Problem
Recap In the last two posts on what is the 3-body problem and the dynamics of the three body problem I’ve shown you the following GIF with a spacecrafts trajectory in the earth moon system. The...
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An Introduction to Lagrange Points – The 3-Body Problem
Balancing a Marble Imagine you had a marble and you wanted to put it at the point between the Earth and the Moon where the force of gravity was equal from both. The two forces would cancel out, and the...
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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...
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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...
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Lyapunov Orbits
Everything Orbits About Something In our solar system, Moons orbit around planets, which themselves orbit around the sun. Well, actual they orbit about the system barycenter, the combined center of...
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Matlab Astrodynamics Library – CR3BP
Introduction to the Library As I’m doing research I end up writing a lot of code. Most of the time it’s one-off scripts and functions for a specific task, but sometimes I do something enough that I add...
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An Introduction to Beresheet and Its Trajectory to the Moon
This Thursday, April 11th, a washing machine sized-spacecraft will attempt to land on the Moon. If it succeeds, it will be the first privately funded spacecraft on the Moon, and make Israel the fourth...
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A Rough Delta-V TOF Trade-off for Earth to Moon Transfers
A Quick Estimate A few days ago I was invited to take part in a mock architecture study looking at Deep Space CubeSat missions. As a multi-body dynamics fanboy, my heart jumped at the possibility of...
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Periodic Orbits around Lagrange Points
Introduction NOTE: This is a very graphics-heavy post and may take some time to load. Lagrange points are those points in the three-body system where the tug of gravity from the two primary bodies...
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