My program predicts the next voyager-like trip for 2156, a 2-D trajectory plot is attached below.
The original voyager trip is below, from August 1977,
I learned how to do this from Alfonso Gonzalez's YouTube videos as I had to learn all of this from scratch, as he was an invaluable resource. https://www.youtube.com/channel/UCt2NJAAW0Ln0hBpArRF1rpg
Second attempt at trying to calculate when another Voyager probe-like trip could happen again in the solar system. This attempt will be more mathematical in nature and less brute force I believe. This will take longer for me to do but should be effective in giving me the answer that I seek.
Step 1: Code a simple Lambert's problem solver.
Step 2: Solve a simple intersection problem, say from the Earth to Jupiter. Plot it in matplotlib as well.
Step 3: Figure out this stuff about v-infinity matching and try to figure out how to chain these slingshots together. Try initially just to get a slingshot from Jupiter to Saturn working.
. . .