Third derivatives of the integrable part of an asteroid Hamiltonian

Third derivatives of the integrable part of an asteroid Hamiltonian

To apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy. This requires computation of the derivatives of the integrable part of the corresponding Hamil...

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Main Author: Pavlović R.
Format: Article
Language:English
Published: Astronomical Observatory, Department of Astronomy, Belgrade 2007-01-01
Series:Serbian Astronomical Journal
Subjects:
celestial mechanics
minor planets
asteroids
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-698X/2007/1450-698X0774053P.pdf
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spelling doaj-b539b748963748e1986d1c07716b3f1c2020-11-24T21:21:00ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X1820-92892007-01-012007174536010.2298/SAJ0774053P1450-698X0774053PThird derivatives of the integrable part of an asteroid HamiltonianPavlović R.0Astronomical Observatory, BelgradeTo apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy. This requires computation of the derivatives of the integrable part of the corresponding Hamiltonian up to the third order over actions and a thorough analysis of their properties. In this paper we describe in detail the procedure of derivation and we give explicit expressions for the obtained derivatives. .http://www.doiserbia.nb.rs/img/doi/1450-698X/2007/1450-698X0774053P.pdfcelestial mechanicsminor planetsasteroids
collection DOAJ
language English
format Article
sources DOAJ
author Pavlović R.
spellingShingle Pavlović R.
Third derivatives of the integrable part of an asteroid Hamiltonian
Serbian Astronomical Journal
celestial mechanics
minor planets
asteroids
author_facet Pavlović R.
author_sort Pavlović R.
title Third derivatives of the integrable part of an asteroid Hamiltonian
title_short Third derivatives of the integrable part of an asteroid Hamiltonian
title_full Third derivatives of the integrable part of an asteroid Hamiltonian
title_fullStr Third derivatives of the integrable part of an asteroid Hamiltonian
title_full_unstemmed Third derivatives of the integrable part of an asteroid Hamiltonian
title_sort third derivatives of the integrable part of an asteroid hamiltonian
publisher Astronomical Observatory, Department of Astronomy, Belgrade
series Serbian Astronomical Journal
issn 1450-698X
1820-9289
publishDate 2007-01-01
description To apply the theorem of Nekhoroshev (1977) to asteroids, one first has to check whether a necessary geometrical condition is fulfilled: either convexity, or quasi-convexity, or only a 3-jet non-degeneracy. This requires computation of the derivatives of the integrable part of the corresponding Hamiltonian up to the third order over actions and a thorough analysis of their properties. In this paper we describe in detail the procedure of derivation and we give explicit expressions for the obtained derivatives. .
topic celestial mechanics
minor planets
asteroids
url http://www.doiserbia.nb.rs/img/doi/1450-698X/2007/1450-698X0774053P.pdf
work_keys_str_mv AT pavlovicr thirdderivativesoftheintegrablepartofanasteroidhamiltonian
_version_ 1726001670923485184

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