Orbit determination with the two-body integrals

DOI10.1007/s10569-010-9271-9zbMath1223.70017arXiv0911.3555OpenAlexW4238741801MaRDI QIDQ642351

Giovanni Federico Gronchi, Andrea Milani, Linda Dimare

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3555

zbMATH Keywords

covariance matrixorbit determinationlinkageattributablesalgebraic methods

Mathematics Subject Classification ID

Two-body problems (70F05) Celestial mechanics (70F15)

Related Items (11)

Refinement of Near Earth Asteroids' orbital elements via simultaneous measurements by two observers ⋮ The eleventh motion constant of the two-body problem ⋮ Orbit determination with the two-body integrals. II ⋮ Keplerian integrals, elimination theory and identification of very short arcs in a large database of optical observations ⋮ Parallel initial orbit determination using angles-only observation pairs ⋮ Finding regions of bounded motion in binary asteroid environment using Lagrangian descriptors ⋮ Data association and uncertainty pruning for tracks determined on short arcs ⋮ Innovative methods of correlation and orbit determination for space debris ⋮ Artificial satellites preliminary orbit determination by the modified high-order Gauss method ⋮ Artificial satellites preliminary orbit determination by the modified high-order Gauss method ⋮ Orbit determination with the two-body integrals. III

Uses Software

• na10

Cites Work

• Multiple solutions in preliminary orbit determination from three observations
• Numerical computation of polynomial zeros by means of Aberth's method
• New definition of discovery for solar system objects
• Orbit determination with very short arcs. I: Admissible regions
• Theory of Orbit Determination
• On the Stationary Points of the Squared Distance between Two Ellipses with a Common Focus

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