Re: Shortest path in 3d with minimum turning radius

This does not sound very realistic as the turning radius will depend on the
speed of the rocket and the thrust it is capable of delivering and perhaps
even the amount of fuel it consumes if this is a significant proportion of
its mass.

But if it is for a game, who cares.



"Miroslav Novak" <[EMAIL PROTECTED]> wrote in message
news:[EMAIL PROTECTED]
> I want to calculate shortest trajectory of a rocket between two points
> in 3D space. Directions in starting and ending points are given. The
> rocket has certain minimum turning radius.
>
> The trajectory has to consist of starting arc, straight line, and
> ending arc. The line is tangent for both arcs. The first arc contains
> the starting point and its tangent there is equal to the starting
> direction. The second arc has similar properties for the ending point
> and ending direction.
>
> When I tried to solve this problem I obtained a system of quadratic
> equations hard to solve. Therefore, I am looking for some relevant
> resources. Do you have any suggestions?
>
> Mirek.