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Daniel Condurache

Universitatea Tehnica < Gheorghe Asachi> , Iasi, Romania

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Born: 1955

Interests: astrodynamics, relative orbital motion, rigid body kinematics, robotics

Details:
The projects attempts to study the two body problem in non-inertial reference frames by using tensorial and quaternionic methods. New direct computation methods are introduced, and the theoretical results that are obtained apply to relative orbital satellite motion. The applications point to formation flying configurations. The whole study key is an inedit vectorial regularization that transorms the nonlinear differential equation with variable coeffiecients that models the motion into a linear differential equation by means of a differential operator adequately defined. This regularization is possible due to some inedit prime integrals. This generalizes in the case of non-inertial reference frames the classic regularizations like those of Levi-Civita, Kustaanheimo and Mosser.
As a consequence of the theoretical studies, a comprehensive study on the shape of the trajectories, as well as on the motion on the trajectories of the celestial bodies under the influence of an keplerian attraction force will be made. The direct application to this study is the relative Keplerian motion, where completely new results will be revealed. Significant results concerning Formation Flying Spacecraft will be deduced.
We mention that such a study can not be found in the classical books of theoretical and orbital mechanics. The method of positioning a satellite in any moment, related to Earth or any other celestial body that attracts it with a keplerian force, will be considerably simplified.
Using only elements of the classic Keplerian motion, a new exact methodology in Celestial and Orbital Mechanics may be fundamented.

Selected publications:
• Daniel Condurache. Hypercomplex Eccentric Anomaly in the Unified Solution to the Relative Orbital Motion. In American Astronautical Society (ed.), AAS/AIAA Astrodynamics Specialist Conference, Pittsburgh, Pennsylvania, 9-13 Aug. , 2009, Advances in the Astronautical Sciences, Vol.135, pp. 281-300. 2010.
• Daniel Condurache, Vladimir Martinusi. Super-integrability in the unperturbed relative orbital motion problem. In American Institute of Aeronautics and Astronautics (eds.), AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario, Aug. 2-5, 2010 . 2010.
• Condurache, D. Martinusi, V. Quaternionic Exact Solution to the Relative Orbital Motion Problem. AIAA Journal of Guidance, Control, and Dynamics, , vo. 33, pp. .1035-1047, 2010.
• Daniel Condurache, Vladimir Martinusi. ., Analytic Solution to the Relative Orbital Motion Around an Oblate Planet. In American Institute of Aeronautics and Astronautics (eds.), AIAA Guidance, Navigation and Control Conference and Exhibit, Chicago, Illinois, 10-13 Aug. 2009 . 2009.
• Daniel Condurache, Vladimir Martinusi. Exact Solution to the Relative Orbital Motion in Eccentric Orbits. Solar System Research, Volume 43, Issue 1, 2009, pp. 41-52, 43,Isuue 1, pp. 41-52, 2009.
• Daniel Condurache, Vladimir Martinusi. Exact solution to the relative orbital motion in a central force field. In Systems and Control in Aerospace and Astronautics, ISSCAA , 2nd International Symposium on , 10-12 Dec . 2008.
• Daniel Condurache, Vladimir Martinusi. ., Foucault Pendulum-like problems: A Tensorial Approach. International Journal of Non-linear Mechanics, vol. 43, issue 8, pp. 743-760, 2008.
• Daniel Condurache, Vladimir Martinusi. Kepler' s Problem in Rotating Reference Frames. Part II: Relative Orbital Motion. AIAA Journal of Guidance, Control and Dynamics. , Vol. 30, no.1, pp. 201-213, 2007.
• Daniel Condurache, Vladimir Martinusi. Kepler' s Problem in Rotating Reference Frames. Part I : Prime Integrals, Vectorial Regularization. AIAA Journal of Guidance, Control and Dynamics. , Vol. 30, no.1, pp. 192-200, 2007.
• Daniel Condurache, Vladimir Martinusi. Relative Spacecraft Motion in a Central Force Field. AIAA Journal of Guidance, Control, and Dynamics. , vol.30, no.3, pp. 873-876, 2007.
• Daniel Condurache, Vladimir Martinusi. A Complete Closed Form Solution to the Kepler Problem. Meccanica, Vol. 42, no.5, pp. 465-476, 2007.


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