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Linear and regular celestial mechanics
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The article was published on 1971-01-01 and is currently open access. It has received 763 citations till now. The article focuses on the topics: Celestial mechanics.read more
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Stabilization of constraints and integrals of motion in dynamical systems
J. Baumgarte,J. Baumgarte +1 more
TL;DR: In this article, it is shown how the analytical relations can be satisfied in a stabilized manner in order to improve the numerical accuracy of the solution of the differential equations, which leads to a modified differential system which is often stable in the sense of Ljapunov.
Journal ArticleDOI
Impedance Control: An Approach to Manipulation: Part II—Implementation
TL;DR: In this article, a feedback control algorithm for imposing a desired cartesian impedance on the end-point of a nonlinear manipulator is presented, which completely eliminates the need to solve the ''inverse kinematics problem'' in robot motion control.
Journal ArticleDOI
The mechanics of multi-joint posture and movement control
TL;DR: The influence of the apparent mechanical behavior of the neural, muscular and skeletal system on the control and coordination of multiple degree of freedom posture and movement is considered.
Journal ArticleDOI
Simple tools to study global dynamics in non-axisymmetric galactic potentials – I
TL;DR: In this paper, a geometrical representation of the global phase space using the natural surface of section for the 2D sphere is presented, and a new indicator of the basic dynamics, the Mean Exponential Growth Factor of Nearby Orbits (MEGNO), is introduced to inves- tigate the phase space structure associated to a general Hamiltonian.
Journal ArticleDOI
Sun-Perturbed Earth-to-Moon Transfers with Ballistic Capture
Edward A. Belbruno,J. K. Miller +1 more
TL;DR: In this paper, a method for constructing a low energy transfer trajectory from the Earth to the moon leading to ballistic capture is described. This is accomplished by utilizing the nonlinear Earth-moon-sun perturbations on a point mass in three dimensions.