Appendix F: Orthogonal Conic Section Theorems

Appendix F: Orthogonal Conic Section Theorems

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It was asserted that at any point on an ellipse the bisector of the bistatic angle is orthogonal to the tangent to the ellipse and the tangents of concentric hyperbolas are orthogonal to tangents of concentric ellipses at their points of intersection, when the hyperbolas and ellipses share common foci. These assertions are frequently made in the bistatic radar literature, but to the author's knowledge, their proofs are either not documented or not conveniently available. This appendix provides proofs to these two orthogonal conic section theorems.

Chapter Contents:

  • F.1 Introduction
  • F.2 Orthogonal Bisector - Tangent Theorem
  • F.3 Orthogonal Ellipse - Hyperbola Theorem

Inspec keywords: elliptic equations; hyperbolic equations

Other keywords: concentric hyperbolas; concentric ellipses; bistatic angle; orthogonal conic section theorems; bisector

Subjects: Differential equations (numerical analysis); Differential equations (numerical analysis); Numerical approximation and analysis

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