Unified Propulsion System to Explore Near-Earth Asteroids ...
N.29 claude the-asteroids-families-problem
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Transcript of N.29 claude the-asteroids-families-problem
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THE ASTEROID'S FAMILIES PROBLEM.
Claude FroeschléObservatoire de la Cote d'Azur, Nice
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THE PHYSIC'S OF THE PROBLEM
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THE SEMIMAJOR AXIS DISTRIBUTION
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CLUSTERING
INDICATION OF CLUSTERING BUT ONLY FOR THE SEMIMAJOR AXIS
WHAT HAPPENS IN A 6DIMENSIONAL SPACE ?
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THE PROBLEMATIC OF PROPER ELEMENTS
SIMPLE SECULAR PERTURBATION THEORY: HIRAYAMA
SEMINUMERICAL COMPUTATION : WILLIAMS
ANALYTIC COMPUTATION: YUASA, KNEŽEVIĆ, KNEŽEVIĆ and MILANI
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THE PROBLEMATIC OF PROPER ELEMENTS
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CLUSTER ANALYSIS VISUAL CLUSTER ANALYSIS:
WILLIAMS THE HIERARCHICAL CLUSTERING
(ZAPPALÀ ET AL.) THE WAVELET ANALYSIS
(BENDJOYA ET AL.)
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REVIEW PAPER
ABOUT DIFFERENT ATTEMPTS TO COMPUTE PROPER ELEMENTS AND MAKE CLUSTER ANALYSIS:
« ON ASTEROIDS CLASSIFICATION IN FAMILIES », CARUSI AND VALSECCHI, A&A, 115, (1982)
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THE HIERARCHICAL CLUSTERING
GIVEN A METRIC AND A DISTANCE THRESHOLD D
FIND IN THE PROPER ELEMENT SPACE ALL ASTEROIDS HAVING MUTUAL DISTANCES LOWER OR EQUAL TO D
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THE HIERARCHICAL CLUSTERING
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THE WAVELET ANALYSIS
DENSITY ANALYSIS TECHNIQUE IN THE PROPER ELEMENT SPACE WHICH PROVIDES THE LOCATION AND COMPOSITION OF THE SIGNIFICANT OVERDENISITIES
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THE MEXICAN HAT
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WAVELET COEFFICIENTS COMPUTATION
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STUCTURE DETECTION
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THE WAVELET ANALYSIS
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COMPARISON WITH RANDOM DISTRIBUTION
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THRESHOLD FROM RANDOM DISTRIBUTION
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RESULTS
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CONCLUSION
EVERYTHING SHOULD BE MADE SIMPLE BUT NOT SIMPLER.
BLESSED ARE THE MEEK, FOR THEY WILL INHERIT THE EARTH.