# The delta V required for given cordinates intersection on given time

The spacecraft is on a LEO orbit with known keplerian elements. The equation of motion for spacecraft is also known.

I have to intersect (just intersect!) the given coordinates $X$, $Y$, $Z$ on near, LEO orbit. Departure and Arrival times are given. $\Delta V$ is applied in an instant. X,Y,Z is on different plane.

How to calculate the required $\Delta V$?

I made research about the 'Hohmann transfer orbit' and 'vis-viva equation'. However, I can't understand how to intersect a point on another orbit exactly on time $T$?

• I'd recommend that you first take a look around at the other questions and answers here, you can click the tags that you've chosen (orbital-maneuver, orbital-mechanics, delta-v) and see the level of discussion and math involved in working on even one small part of this. This is like going to stackoverflow and saying "I have a core-i7 processor, 12 Volts AC, and a six-pack of Mountain Dew. I need an operating system, ideas?" :)
– uhoh
Apr 16, 2017 at 14:21
• İ thougt my question is clear enough :) İ'm looking on other questions now Apr 16, 2017 at 14:26
• Oh it is very clear, but it is just a huge question! Try to narrow down to some small part of the problem, and ask something more specific.
– uhoh
Apr 16, 2017 at 14:29
• Edited the question. The question should have analytic solution, so I'm looking for ideas Apr 16, 2017 at 14:30
• Then you would generate the Lambert solutions for a range of transfer times, and look for a minimum in the $\Delta V$ magnitude. That would be a one-dimensional version of a porkchop plot, where in two dimensions the Lambert solutions between two moving planets is plotted as a function of departure and arrival times. Apr 16, 2017 at 18:15