Close Encounters with Large Asteroids in the Next 50 Years

Kuzmanoski, M.; Knežević, Ž.

doi:10.1006/icar.1993.1060

Cited by 7 publications

(4 citation statements)

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“…This is possible only with unbounded orbits. of the MOID is only a first stage of a mass determination procedure; for further details on this problem see for example (Kuzmanoski and Knežević, 1993).…”

Section: Large Scale Experimentsmentioning

confidence: 99%

An Algebraic Method to Compute the Critical Points of the Distance Function Between Two Keplerian Orbits

Gronchi

2005

Celestial Mech Dyn Astr

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We describe an efficient algorithm to compute all the critical points of the distance function between two Keplerian orbits (either bounded or unbounded) with a common focus.The critical values of this function are important for different purposes, for example to evaluate the risk of collisions of asteroids or comets with the Solar system planets. Our algorithm is based on the algebraic elimination theory: through the computation of the resultant of two bivariate polynomials, we find a 16th degree univariate polynomial whose real roots give us one component of the critical points. We discuss also some degenerate cases and show several examples, involving the orbits of the known asteroids and comets.

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Section: Large Scale Experimentsmentioning

confidence: 99%

An Algebraic Method to Compute the Critical Points of the Distance Function Between Two Keplerian Orbits

Gronchi

2005

Celestial Mech Dyn Astr

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“…But actually, the minimal distance is not the most determining parameter. As pointed out by Hoffman (1989) and Kuzmanoski & Knezević (1993), the relative velocity at close encounter (or "encounter velocity") is also an important characteristic to be considered. The masses of the bodies involved in a close approach is another parameter of importance.…”

Section: The Selection Proceduresmentioning

confidence: 99%

“…Favourable close encounters are rather rare. A systematic search was carried out by Kuzmanoski & Knezević (1993), who have computed opportunities of very close encounters spanning 1993-2043. Hilton et al (1996) published their prospects for determining masses of large asteroids based on their own computations of close encounters from 1950 to 2017.…”

Section: Introductionmentioning

confidence: 99%

Close encounters of asteroids before and during the ESA GAIA mission

Fienga

Bange²,

Bec-Borsenberger³

et al. 2003

A&A

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Abstract. Observation of close encounters of asteroids is a powerful method to determine their masses. A systematic search of such close encounters of asteroids with diameters larger than 40 km has been made thanks to a procedure to select the most efficient phenomena by means of the observable gravitational deflection. This study allows us to give lists of such single (one encounter) and multiple (several encounters between two pairs of asteroids) phenomena that will be observable from ground based astrometric telescopes from 2003 to 2022. We also give lists of single and multiple phenomena spanning 2010-2022 and implying less sensitive deflections only accessible by space astrometry. These last encounters may be observed during the ESA GAIA space mission.

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“…The mass of 704 Interamnia has been derived by Landgraf (1992) from the perturbations of 993 Moultona. In order to extend the scope of this method, applied so far only to the few largest asteroids, Kuzmanoski and Knezevic (1993) compiled an extensive list of close encounters between large asteroids and all the other known ones that will take place in the next 50 years.…”

Section: Asteroid Sizes and Massesmentioning

confidence: 99%

Commission 15: Physical Study of Comets. Minor Planets and meteorites (L’etude Physique des Cometes. des Petites Planetes Et des Meteorites)

1994

Trans. Int. Astron. Union

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Close Encounters with Large Asteroids in the Next 50 Years

Cited by 7 publications

References 0 publications

An Algebraic Method to Compute the Critical Points of the Distance Function Between Two Keplerian Orbits

An Algebraic Method to Compute the Critical Points of the Distance Function Between Two Keplerian Orbits

Close encounters of asteroids before and during the ESA GAIA mission

Commission 15: Physical Study of Comets. Minor Planets and meteorites (L’etude Physique des Cometes. des Petites Planetes Et des Meteorites)

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