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 using the interplanetary superhighway to preserve our meager delta-V budget. The downside of using the interplanetary superhighway is that…

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.…