I'm currently trying to solve the following two-point boundary problem by means of the shooting method:(adsbygoogle = window.adsbygoogle || []).push({});

To clarify, I'm investigating the optimal route of aerial/marine vehicles from one point to another point, considering a flow field.

* The starting and ending locations are set as x_{0}, y_{0}and x_{f}, y_{f}respectively.

* v is the constant speed of the vehicle relative to the field.

* A vector v=[v_{cx},v_{cy}]^{T}is used to describe the drift velocity of the field with respect to some coordinate system fixed to the ground.

* ψ is the vehicles navigation angle.

* The optimal change rate of the navigation angle has been found and is as follows:

There are two unknowns in this two-point boundary value problem, which are the initial navigation angle ψ(0) and t_{f}, which is the final time.

The problem that I would like some help with is thus the two-point boundary value problem that I want to solve by means of the shooting method. I haven't found useful and applicable sources that show me how to use the shooting method for this problem. I would very much appreciate a help in the right direction, either by some explanation or my directing me to useful sources.

Kind regards,

Ramos Pinto

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Two point boundary problem - Shooting method

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**