Nonlinear optimisation and the asteroid identification problem
نویسندگان
چکیده
منابع مشابه
The Asteroid Identification Problem
A large fraction of the asteroids observed so far are to be considered lost, that is they can not be recovered by pointing the telescope at the predicted position only. The catalogues of asteroid orbits are therefore polluted by large numbers of low accuracy orbits, which can not be easily improved by observation. Two of these inaccurate orbits can belong to the same physical object, and indeed...
متن کاملThe Asteroid Identification Problem Iii: Target Plane Confidence Boundaries
The nominal orbit solution for an asteroid/comet resulting from a least squares t to astrometric observations is surrounded by a region containing solutions equally compatible with the data, the con dence region. If the observed arc is not too short, and for an epoch close to the observations, the con dence region in the 6-dimensional space of orbital elements is well approximated by an ellipso...
متن کاملThe Asteroid Identification Problem I: Recovery of Lost Asteroids
When an asteroid is lost, the observers need to know the portion of the celestial sphere where it could be recovered at a given time. This region is an image of the region, in the space of orbital elements, where the orbit is compatible with the previous observations. The map between these two regions is nonlinear, therefore the classical linear approximation can fail; indeed it fails by a larg...
متن کاملThe Asteroid Identification Problem Ii: Target Plane Confidence Boundaries
The nominal orbit solution for an asteroid/comet resulting from a least squares t to astrometric observations is surrounded by a region containing solutions equally compatible with the data, the con dence region. If the observed arc is not too short, and for an epoch close to the observations, the con dence region in the 6-dimensional space of orbital elements is well approximated by an ellipso...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
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ژورنال
عنوان ژورنال: Symposium - International Astronomical Union
سال: 1996
ISSN: 0074-1809
DOI: 10.1017/s0074180900127342