# Lambert's problem solution: optimal transfer time

I'm solving the Lambert's problem, and already have written a program, which solves the BVP using Shooting method and computes the velocities of Spacecraft required to transfer to another point in a given transfer time.

The point is, the solution depends on transfer time, and initial position of the spacecraft. Some solutions are good, some require a lot of Delta-V...

Checking all values one-by-one would be time consuming. Needed to calculate:

• The optimal initial position of spacecraft
• The optimal transfer time

Probably, I should make attention on Delta True Anomaly?

• If I recall correctly, there are zero, one, or two solutions to Lambert's problem. I did an animation of based on Lambert's space triangle: hop41.deviantart.com/art/Lambert-Space-Triangle-movie-92619295 I might try to dig up the Prussing and Conway text if I have time. – HopDavid Apr 22 '17 at 7:29
• @HopDavid I had no idea deviantart had technical content, excellent! Now I must figure out how to unblock Flash in my browser. Is there a non-flash version somewhere? – uhoh Apr 22 '17 at 9:48
• I've added a sentence with a standard way to link back to the previous discussion. This way the question contains the kernel of the previous answer as well as a link so people can go back and read the complete answer and learn from it if they like. Even when we ask questions, sometimes we can do a little teaching at the same time. If you are uncomfortable with the edit, click the "edited" icon (to the left of your user ID icon) and look for "rollback" on one of the previous versions. – uhoh Apr 22 '17 at 10:26

• May I somehow predict and filter bad values, on the basis, for example, True Anomalies ? To not calculate Lambert's problem for all values, which is time consuming! – Tarlan Mammadzada Apr 23 '17 at 0:03
• Is there a tool to build the porkchop plot for on-orbit maneuvers, where I could write the coordinates of SC and target? All tools I found were for Earth, Mars, etc. – Tarlan Mammadzada Apr 23 '17 at 0:10