Physical Properties of linear Ranging Solution of Path Difference Localization Equation with two Baseline

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Abstract

The basic physical properties of the linear ranging solution of the path difference positioning equation with two baseline are explored. First of all, according to the analysis of the geometric relationship, it can be known that the linear ranging solution is inversely proportional to the first order difference of the path difference, and proportional to the square of the transverse projection of the path difference or the baseline. Then, by introducing time difference, the ranging solution can be expressed as a function related to the motion parameters. At this point, the linear ranging solution is inversely proportional to the first order difference of the average acceleration of the path difference, and proportional to the square of the transverse projection of the average moving speed of the baseline or the path difference. It can be found that its general characteristics are proportional to the square of the projection component in the transverse direction and inversely proportional to the first difference component in the longitudinal direction.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

Not applicable

Data Availability

The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

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  • Classification

    FOR Code: 029999

  • Version of record

    v1.0

  • Issue date

    NA

  • Language

    English

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