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The subject of the master thesis discusses the three dimensi-
nal proporational navigation problems for homing missiles.
Basi- ng on the basic mathematical definations ,we find an
analyzed m- ethod for the three dimensional pursued problems
and get much c- onception from the analysis of them. In the
article ,we first define and solve the two and three
dimensional Pure Pursuit problems. From the closed-form
solutio- ns of this two problems, we can conclude that the 3D
Pure Pursu- it problem is equivalent to the 2D problem. The
choices of two coordinate systems cause the difference of the
mathematical clo- sed-form solutions. If we can select
coordinate system appropri- ately, then the real 3D
interceptive problem may be simplified as a 2D problem
sometimes. The contribution of this article is that we derive
the 3D ki- nematic equations for missiles using the
proporational navigation (TPN,PPN) from the definations. We
also find a new 3D guidance law from the derivation of three
dimensional PPN kinematic equat- ion and is named Special
Proporational Navigation(SPN). Form the numerical simulation,
we find the advantages of SPN. In the same pursued conditions,
missiles using SPN as the guidance law have the shortter time
of interception than the ones using TPN. In the present
research of missile guidances, we only discuss the optimal
guidance laws for missiles by setting the motions of targets(
one-player game). The real pursued problems have to cons- ider
both missiles and targets have their "Intelligence", that is ,
not only missiles taking guidance laws but also targets doing.
The mathematical method of this master thesis can be used to
ana- lyze the real pursued problems as a two-player game.
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