On the Stationary Points of the Squared Distance between Two Ellipses with a Common Focus

DOI10.1137/S1064827500374170zbMath1028.65150MaRDI QIDQ4785912

Giovanni Federico Gronchi

Publication date: 5 January 2003

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

polynomialslocation of zeroscelestial mechanicsdiscrete and fast Fourier transforms

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for discrete and fast Fourier transforms (65T50) Celestial mechanics (70F15)

Related Items (10)

Быстрая оценка минимального расстояния между двумя конфокальными гелиоцентрическими орбитами ⋮ An invariant region for the collisional dynamics of two bodies on Keplerian orbits ⋮ Orbit determination with the two-body integrals. II ⋮ Revisiting the computation of the critical points of the Keplerian distance ⋮ Orbit determination with the two-body integrals ⋮ Computing the critical points of the distance function between two Keplerian orbits via rigorous global optimization ⋮ On the nodal distance between two Keplerian trajectories with a common focus ⋮ A lower bound of the distance between two elliptic orbits ⋮ Rigorous Global Optimization for Collision Risk Assessment on Perturbed Orbits ⋮ An algebraic method to compute the critical points of the distance function between two Keplerian orbits

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