What formula can I use to calculate the apoapsis of the orbit of an object launched from a mass driver on the moon at a given speed and angle to the surface (angle from horizontal)? The device will launch due east.
I've plugged some things into a Desmos calculator page. Expanding that with the rest of the formulae needed would be ideal.
I'm deciding how to configure the track of a mass driver for our virtual portrayal of a highly developed lunar town. I want to combine its use with the use of skyhooks, both vertical and rotating, to make it work well for trasferring goods between the town and manufacturing and construction projects in a wide range of orbits and locations in the Earth Moon system. Because the town is at the bottom of a large crater, and skyhooks are involved, it has seemed like a good idea to angle up the mouth of the mass driver so vessels launched rendezvous with the vertical skyhook in one of a couple of ways. Not necessary info, but yeah, that's what I'm trying to do.