2006
DOI: 10.1111/j.1365-2966.2006.10770.x
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Calculation of the mean orbit of a meteoroid stream

Abstract: The traditional approach used for averaging the parameters of a meteoroid gives results that are biased by several conceptual defects: among others things, the mean orbital elements do not satisfy the laws of celestial mechanics. The Voloshchuk & Kashcheev method in the domain of geocentric parameters removes all of these defects except one: the epoch corresponding to the mean geocentric values, which is critical for the calculation of the mean heliocentric orbital elements from the mean geocentric radiant coo… Show more

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Cited by 23 publications
(9 citation statements)
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“…The mean values of the radiant coordinates α g , δ g and the Öpik variables V g , θ, φ are the arithmetic means of the components of the radiant (antiradiant) unit vector and the geocentric velocity vector. The mean values of the orbital elements a , q , e , ω, Ω, i were calculated by the method described in Jopek, Rudawska & Predka‐Ziomek (2006, 2008a,b). When the identified stream consisted of seven or less members, the mean orbital elements were found by the mean arithmetic method.…”
Section: Results Of the Streams Searchingmentioning
confidence: 99%
“…The mean values of the radiant coordinates α g , δ g and the Öpik variables V g , θ, φ are the arithmetic means of the components of the radiant (antiradiant) unit vector and the geocentric velocity vector. The mean values of the orbital elements a , q , e , ω, Ω, i were calculated by the method described in Jopek, Rudawska & Predka‐Ziomek (2006, 2008a,b). When the identified stream consisted of seven or less members, the mean orbital elements were found by the mean arithmetic method.…”
Section: Results Of the Streams Searchingmentioning
confidence: 99%
“…The number of dimensions is thus d = 5. Note that only 4 free orbital parameters are needed for most Earth-impacting meteoroids -the exception are lowinclination meteoroids whose nodal distances may lie outside the vicinity of Earth's orbit (Jopek et al, 2010). Nevertheless, as this peculiarity is naturally present in the dataset, it is organically included in the KDE analysis (together with any other instrument or site-specific biases).…”
Section: Generating Instrumentally Specific Synthetic Meteoroid Orbit...mentioning
confidence: 99%
“…In brackets the amount of the common members identified by both functions are given. Within each group the orbital elements were averaged by the method described in Jopek et al (2006). Figure 1.…”
Section: Resultsmentioning
confidence: 99%