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A lower bound of the distance between two elliptic orbits. / Mikryukov, Denis V.; Baluev, Roman V.

в: Celestial Mechanics and Dynamical Astronomy, Том 131, № 6, 28, 12.06.2019, стр. 28.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Mikryukov, DV & Baluev, RV 2019, 'A lower bound of the distance between two elliptic orbits', Celestial Mechanics and Dynamical Astronomy, Том. 131, № 6, 28, стр. 28. https://doi.org/10.1007/s10569-019-9907-3, https://doi.org/10.1007/s10569-019-9907-3

APA

Mikryukov, D. V., & Baluev, R. V. (2019). A lower bound of the distance between two elliptic orbits. Celestial Mechanics and Dynamical Astronomy, 131(6), 28. [28]. https://doi.org/10.1007/s10569-019-9907-3, https://doi.org/10.1007/s10569-019-9907-3

Vancouver

Mikryukov DV, Baluev RV. A lower bound of the distance between two elliptic orbits. Celestial Mechanics and Dynamical Astronomy. 2019 Июнь 12;131(6):28. 28. https://doi.org/10.1007/s10569-019-9907-3, https://doi.org/10.1007/s10569-019-9907-3

Author

Mikryukov, Denis V. ; Baluev, Roman V. / A lower bound of the distance between two elliptic orbits. в: Celestial Mechanics and Dynamical Astronomy. 2019 ; Том 131, № 6. стр. 28.

BibTeX

@article{1be5734545094eda965516669c66713c,
title = "A lower bound of the distance between two elliptic orbits",
abstract = "We obtain a lower bound of the distance function (MOID) between two noncoplanar bounded Keplerian orbits (either circular or elliptic) with a common focus. This lower bound is positive and vanishes if and only if the orbits intersect. It is expressed explicitly, using only elementary functions of orbital elements, and allows us to significantly increase the speed of processing for large asteroid catalogs. Benchmarks confirm high practical benefits of the lower bound constructed.",
keywords = "Elliptic orbits, MOID, Linking coefficient, Distance function, Catalogs, Asteroids and comets, Near-Earth asteroids, Space debris, Close encounters, Collisions",
author = "Mikryukov, {Denis V.} and Baluev, {Roman V.}",
year = "2019",
month = jun,
day = "12",
doi = "10.1007/s10569-019-9907-3",
language = "English",
volume = "131",
pages = "28",
journal = "Celestial Mechanics and Dynamical Astronomy",
issn = "0923-2958",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - A lower bound of the distance between two elliptic orbits

AU - Mikryukov, Denis V.

AU - Baluev, Roman V.

PY - 2019/6/12

Y1 - 2019/6/12

N2 - We obtain a lower bound of the distance function (MOID) between two noncoplanar bounded Keplerian orbits (either circular or elliptic) with a common focus. This lower bound is positive and vanishes if and only if the orbits intersect. It is expressed explicitly, using only elementary functions of orbital elements, and allows us to significantly increase the speed of processing for large asteroid catalogs. Benchmarks confirm high practical benefits of the lower bound constructed.

AB - We obtain a lower bound of the distance function (MOID) between two noncoplanar bounded Keplerian orbits (either circular or elliptic) with a common focus. This lower bound is positive and vanishes if and only if the orbits intersect. It is expressed explicitly, using only elementary functions of orbital elements, and allows us to significantly increase the speed of processing for large asteroid catalogs. Benchmarks confirm high practical benefits of the lower bound constructed.

KW - Elliptic orbits

KW - MOID

KW - Linking coefficient

KW - Distance function

KW - Catalogs

KW - Asteroids and comets

KW - Near-Earth asteroids

KW - Space debris

KW - Close encounters

KW - Collisions

UR - http://www.scopus.com/inward/record.url?scp=85067301695&partnerID=8YFLogxK

U2 - 10.1007/s10569-019-9907-3

DO - 10.1007/s10569-019-9907-3

M3 - Article

AN - SCOPUS:85067301695

VL - 131

SP - 28

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

IS - 6

M1 - 28

ER -

ID: 42763563