On the exactness of estimates for irregularly structured bodies of the general term of Laplace series

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

The main form of the representation of a gravitational potential V for a celestial body T in outer space is the Laplace series in solid spherical harmonics (R/ r) n + 1Yn(θ, λ) with R being the radius of the enveloping T sphere. The surface harmonic Yn satisfies the inequality(Formula presented.)The angular brackets mark the maximum of a function’s modulus over a unit sphere. For bodies with an irregular structure σ= 5 / 2 , and this value cannot be increased generally. However, a class of irregular bodies (smooth bodies with peaked mountains) has been found recently in which σ= 3. In this paper, we will prove the exactness of this estimate, showing that a body belonging to the above class does exist and (Formula presented.)for it.

Язык оригиналаанглийский
Страницы (с-по)75-94
Число страниц20
ЖурналCelestial Mechanics and Dynamical Astronomy
Том128
Номер выпуска1
DOI
СостояниеОпубликовано - 1 мая 2017

Отпечаток

Exactness
Laplace
Irregular
Modulus Function
Series
Spherical Harmonics
spherical harmonics
Brackets
Term
estimates
Unit Sphere
Estimate
Harmonic
Radius
celestial bodies
mountain
brackets
mountains
gravitational fields
harmonics

Предметные области Scopus

  • Астрономия и астрофизика
  • Космические науки и планетоведение

Цитировать

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On the exactness of estimates for irregularly structured bodies of the general term of Laplace series. / Kholshevnikov, Konstantin V.; Shaidulin, Vakhit Sh.

В: Celestial Mechanics and Dynamical Astronomy, Том 128, № 1, 01.05.2017, стр. 75-94.

Результат исследований: Научные публикации в периодических изданияхстатья

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