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UID:0-288@aerospace.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20201028T163000

DTEND;TZID=Asia/Jerusalem:20201028T173000

DTSTAMP:20230525T071335Z

URL:https://aerospace.technion.ac.il/events/evolution-of-chaos-in-long-ter
 m-propagation-of-high-earth-orbits/

SUMMARY:Evolution of Chaos in Long-term Propagation of High Earth Orbits
DESCRIPTION:Lecturer:Paolo Izzo\n Faculty:Department of Aerospace Engineeri
 ng\n Institute:Technion – Israel Institute of Technology and University 
 of Rome 'La Sapienza'\n Location:https://technion.zoom.us/j/99048462414\n 
 Zoom: \n Abstract: \n Details: \n The numerical detection of resonances us
 ing dynamical indicators is an efficient tool for eval- uating the long-te
 rm stability and for discriminating between order and chaos. In this regar
 d\, methods based on the analysis of vectors deviating from an initial ref
 erence orbit\, stemming from the pioneering work of Lyapunov\, have been w
 idely employed in the past decades. Especially High Earth Orbits (HEO)\, g
 overned by the interplay of multiple perturbations accumulated over long t
 ime spans\, show an orbital evolution that can result in a strong sensitiv
 ity to the initial condi- tions. Using an orbital model defined in terms o
 f Milankovitch vectorial elements\, stability maps are developed to target
  natural disposal trajectories in the osculating space. However\, these ma
 ps have to be initialized to account the short-periodic terms that may hav
 e relevant effects on the re-entry solutions. Using the direct approach of
  Kozai\, we derive the analytical short-period cor- rection for J2 and des
 ign a numerical algorithm based on the Fast Fourier Transform for validati
 on purposes. Indeed\, for HEO orbits\, the lunisolar effect becomes releva
 nt and the short-period correc- tions must be included for an accurate sat
 ellite dynamics. Therefore\, we extend both the analytical and numerical d
 evelopments to include the lunisolar perturbations as well\, and to obtain
  a first- order\, singularity-free\, full-perturbative transformation. The
  proposed methodology has important applications for satellite lifetime pr
 ediction and for passive space debris removal.\nZoom Meeting
CATEGORIES:Seminars
LOCATION:https://technion.zoom.us/j/99048462414

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DTSTART:20201025T010000

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