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Titel |
Change in General Relativistic precession rates due to Lidov-Kozai oscillations in the Solar System |
VerfasserIn |
Aswin Sekhar, David J. Asher, Stephanie C. Werner, Jeremie Vaubaillon, Gongjie Li |
Konferenz |
EGU General Assembly 2017
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Medientyp |
Artikel
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Sprache |
en
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Digitales Dokument |
PDF |
Erschienen |
In: GRA - Volume 19 (2017) |
Datensatznummer |
250145118
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Publikation (Nr.) |
EGU/EGU2017-9018.pdf |
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Zusammenfassung |
Introduction: Two well known phenomena associated with low perihelion distance bodies in
orbital dynamics are general relativistic (GR) precession and Lidov-Kozai (LK)
oscillations.
The accurate prediction of the perihelion shift of Mercury in accord with real observations is
one of the significant triumphs of the general theory of relativity developed by Einstein. The
Lidov-Kozai mechanism was first proposed and derived by Kozai and independently by
Lidov explaining the periodic exchange between eccentricities e and inclinations i
thereby increasing or decreasing the perihelion distance q secularly in the orbiting
body.
Co-existence of GR Precession and LK Oscillations: In this work, we were interested to
identify bodies evolving in the near future (i.e. thousands of years in this case) into rapid
sungrazing and sun colliding phases and undergoing inclination flips, due to LK
oscillations and being GR active at the same time. Of all the bodies we checked from
the IAU-Minor Planet Center, and Marsden plus Kracht families from the comet
catalogue, 96P/Machholz 1 stands out because it shows all these trends in the near
future.
LK leads to secular lowering of q which in turn leads to a huge increase in GR precession of
argument of pericentre. This in turn gives feedback to the LK mechanism as the e,i and
argument of pericentre in Kozai cycles are closely correlated. In this work, we find real
examples of solar system bodies which show the continuum nature between GR precession
domi-nant and LK mechanism dominant regimes.
Results and Discussion: We have shown that there are bodies in the solar system in which
both GR precession and LK mechanism can co-exist at the same time and for which these
effects can be measured and identified using analytical and numerical techniques. Thus there
is a continuum of bodies encompassing, firstly GR precession dominant, secondly GR
precession plus LK mechanism co-existing and finally LK mechanism dominant states which
are all permissible in nature.
A real solar system body in this intermediate state is identified using compiled observational
records from IAU-Minor Planet Center, Cometary Catalogue, IAU-Meteor Data Center and
performing analytical plus numerical tests on them. This intermediate state brings up the
interesting possibility of drastic changes in GR precession rates (at some points
peaking to about 60 times that of Mercury’s GR precession) during orbital evolution
due to sungrazing and sun colliding phases induced by the LK mechanism, thus
combining both these important effects in a unique and dynamically interesting
way. Comet 96P/Machholz 1 stands out as the only real body identified (from our
simulations) to be exhibiting these interesting traits, as well as inclination flips, in the
near future. Both these phenomena complimenting and co-existing at the same
time has interesting implications in the long term impact studies of small bodies in
general. |
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