Journal ArticleDOI
A nonsingular set of orbit elements
C. J. Cohen,E. C. Hubbard +1 more
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This article is published in The Astronomical Journal.The article was published on 1962-02-01. It has received 17 citations till now. The article focuses on the topics: Orbit (control theory).read more
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A Set of Modified Equinoctial Orbit Elements
TL;DR: In this paper, modified equinoctial elements are introduced which are suitable for perturbation analysis of all kinds of orbit and Equations of motion in Lagrangian and Gaussian forms are derived.
Journal ArticleDOI
New orbital elements for Moon and planets
TL;DR: The results of a simultaneous solution for the orbital elements of Moon and planets are given and their derivation is discussed in this paper, where a modern Cowell integrator is used for orbit computations, and least-squares fits are made to some 40000 optical observations taken since 1913.
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Survey of Orbit Element Sets
TL;DR: The goal of the survey was to identify an orbit element set that is the most natural to use in developing feedback control laws and identify 22 candidate orbit element sets plus variations defined in terms of Euler angles, Euler parameters, functions of classical elements, quaternions, set-III elements, fast or slow variables, or canonical variables.
Journal ArticleDOI
Non-singular orbital elements for special perturbations in the two-body problem
Journal ArticleDOI
Studies in the application of recurrence relations to special perturbation methods
TL;DR: In this article, a comparison of the Encke and Cowell methods of integration for the restricted three-body problem is made, where the coefficients of the powers of time are determined by recurrence relationships, and it is shown that for fairly highly eccentric orbits in which the perturbing force is less than one thousandth of the two-body force, the encke method achieves a considerable saving in machine time.