On Alternative Formulations for Linearised Miss Distance Analysis
Abstract
In this report, techniques generally employed in the analysis of intercept guidance problems are reviewed. From the governing non-linear equations describing such problems, two basic linear models are derived. Traditionally, these linear models are utilised as a basis for preliminary intercept engagement studies. Under certain input conditions, the two models are mathematically equivalent and, hence, have been used interchangeably by weapons analysts to yield appropriate design and performance data in support of their programs. However, for a specific set of initial conditions, which includes a very important class of practical problems that may be assessed with the use of these models, it is noted herein that one of these linear models produces incorrect performance data when compared to a non-linear simulation of the engagement. In contrast, the other model produces consistent results with those generated by the non-linear simulation regardless of the initial conditions considered. To remedy this discrepancy, the necessary mathematics are derived to bring the two formulations into alignment for any form of the initial conditions and inputs to the system. Consequently, this leads to a consistency in the corresponding adjoint models which are constructed from these linear models, thus ensuring the generation of correct output data regardless of which model is employed by the analyst.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 2013
- Accession Number
- ADA590171
Entities
People
- Domenic Bucco
- Rick Gorecki
Organizations
- Defence Science and Technology Group