A joint ablation-and-estimation framework for space-based laser debris remediation demonstrates that coplanar and out-of-plane encounter geometries differentially affect periapsis-lowering capacity, observability, and nonlinear estimation performance.
The toric sections: a simple introduction
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abstract
We review, from a didactic point of view, the definition of a toric section and the different shapes it can take. We'll then discuss some properties of this curve, investigate its analogies and differences with the most renowned conic section and show how to build its general quartic equation. A curious and unexpected result was to find that, with some algebraic manipulation, a toric section can also be obtained as the intersection of a cylinder with a cone. Finally we'll show how it is possible to construct and represent toric sections in the 3D Graphics view of Geogebra. In the article only elementary algebra is used, and the requirements to follow it are just some notion of goniometry and of tridimensional analytic geometry.
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2026 1verdicts
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Encounter Geometry Effects on Space-Based Laser Debris Remediation and Estimation
A joint ablation-and-estimation framework for space-based laser debris remediation demonstrates that coplanar and out-of-plane encounter geometries differentially affect periapsis-lowering capacity, observability, and nonlinear estimation performance.