I've been playing with Hohmann transfers from one circular orbit to another.
I've been calling the radius of the departure orbit 1 and the radius of the arrival orbit $r$ with $r>1$.
There are two burns:
- Departure burn to leave circular departure orbit and enter Hohmann transfer orbit.
- Arrival burn to exit Hohmann transfer and enter circular arrival orbit (aka a circularize burn)
The total $\Delta V$ is the sum of the $\Delta V$s these two burns take.
As $r$ increases, total $\Delta V$ increases up until a certain point. Then total $\Delta V$ starts falling!
If my calculus weren't so rusty I'd try to solve for $r$ where $f'(r)=0$. But my brute force numerical efforts seem to indicate at the top of this hill $r$ is roughly 15.5817.
Is there a name for this number?