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Transcript of The parent body search - IMO · INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES ......
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
The parent body search
R. Rudawska, P. Atreya, S. Bouley,J. Vaubaillon, F. Colas, T. Silbermann
September 15-18, 2011
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteors
METEOROIDS
Comets
• ice sublimation• comet disintegration
Asteroids
• collisions• tidal forces• YORP
HHH
HHHY
The parent body search 2/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteoroid stream identification methods
How the search procedure looks like?
• Choose a meteoroid streams searchalgorithm:
• iterative methods,• method of indices,• single linking method,• wavelet transform technique.
• Choose a dynamical similarity function -D-criterion.
• Choose a similarity threshold Dc .
The parent body search 3/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteoroid stream identification methods
Dynamical similarity functions• D-criterion based on the orbital parameters (q, e, i , Ω, ω).
D2SH = [eB −eA]
2 +[qB −qA]2 +
[2 ·sin
IBA
2
]2+
[eB +eA
2
]2 [2 ·sin
πBA
2
]2
whereeA, eB – eccentricities of orbits A and B,qA, qB – perihelion distances of orbits A and B,IBA – the angle between the orbital planes,πBA – the difference between the longitude of perihelion, measured
from the intersection point of the orbital planes.
IBA and πBA are expressed in terms of angular orbital elements(inclination i , longitude of the ascending node Ω and argument ofperiapsis ω).
Southworth, R. B., Hawkins, G. S. 1963, Smithson. Contr. Astrophys, 7, 261
The parent body search 4/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteoroid stream identification methods
Dynamical similarity functions• D-criterion based on the orbital parameters (q, e, i , Ω, ω).
D2H = [eB −eA]
2 +
[qB −qA
qB +qA
]2+
[2 ·sin
IBA
2
]2+
[eB −eA
2
]2 [2 ·sin
πBA
2
]2
whereeA, eB – eccentricities of orbits A and B,qA, qB – perihelion distances of orbits A and B,IBA – the angle between the orbital planes,πBA – the difference between the longitude of perihelion, measured
from the intersection point of the orbital planes.
IBA and πBA are expressed in terms of angular orbital elements(inclination i , longitude of the ascending node Ω and argument ofperiapsis ω).
Jopek, T. J., 1993, Icarus, 106, 603
The parent body search 5/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteoroid stream identification methods
Dynamical similarity functions• D-criterion based on dynamical quasi-invariants.
D2V = wh1(hB1 −hA1)
2 +wh2(hB2 −hA2)2 +1.5 wh3(hB3 −hA3)
2
+we1(eB1 −eA1)2 +we2(eB2 −eA2)
2 +we3(eB3 −eA3)2
+ 2 wE (EB +EA)2
whereh – the angular momentum vector,e – the Laplace vector,E – the energy constant,wh, we, wE – the weighting factors.
Jopek, T. J., Rudawska, R., Bartczak, P. J. 2008, EM&P, 102, 73
The parent body search 6/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Meteoroid stream identification methods
Dynamical similarity functions• D-criterion based on dynamical quasi-invariants.
D2J =
(CA1 −CB1
0.13
)2+
(CA2 −CB2
0.06
)2+
(CA3 −CB3
14.2
)2
whereC1 – corresponds to the z-component of the orbital angular momentum,C2 – is taken from the secular model of Lidov,C3 – invariant is the longitude of perihelion.
Jenniskens, P., 2008, Icarus, 194, 13
The parent body search 7/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
The streams and their parent bodies
Our parent body search procedure
Meteor orbitdetermination
Parent bodypre-search
Detailedsurvey
Parent body establishingThe year of ejection?
?
The parent body search 8/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
The streams and their parent bodies
Meteoroid orbits sampleThe model of generation and evolution of meteoroid stream in the solarsystem is taken from Vaubaillon et al. (2005)
• the nucleus is a mixture of waterice and dust,
• the nucleus is spherical andhomogeneous,
• the water is produced in the sunlithemisphere of the nucleus,
• the dust particles are spherical,homogeneous,
• the particles are ejected within3.0 AU, from the Sun, in the sunlithemisphere,
• the particles are submitted to thegravitational force of the Sun, thenine planets and the Moon, aswell as to non-gravitational forces.
Vaubaillon, J., Colas, F. & Jorda, L., Astronomy and Astrophysics, Vol. 439, p. 751, 2005
The parent body search 9/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Determining the threshold from experimental data
+ DV∗ DSH DH× DJ
DSH8.401×10−2
DH7.661×10−2
DV8.870×10−4
DJ8.790×10−1
The parent body search 10/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Looking for the epoch of ejection
The parent body search 11/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Looking for the epoch of ejection
The parent body search 12/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
The streams and their parent bodies
Orbital evolution of the Draconids stream
Rudawska, R., 2010, In Ph.D. dissertation, A. M. University, Poznan
The parent body search 13/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application• The obtained values of thresholds were applied to a sample of the
Armagh Observatory meteor data.• Atreya, P., 2009, In Ph.D. dissertation, Armagh Observatory, Armagh,
Northern Ireland.• Double station meteors: 457 meteor orbits.
The parent body search 14/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application
The parent body search 15/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application
The parent body search 16/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application
The parent body search 17/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application
The parent body search 18/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
Results
Application
The parent body search 19/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
The parent body search
Conclusions• We obtained the value of the upper limit of tested D-criteria.• The threshold value depends on the stream and its orbital evolution.• We confirm associations with known meteoroid streams for orbits
collected in Armagh meteor sample.• We need to do more analysis and test methods on real data.• Close encounters clearly prevent us from reconstructing the epoch of
origin, even for a slightly perturbed trails.
The parent body search 20/22
INSTITUT DE MÉCANIQUE CÉLESTE ET DE CALCUL DES ÉPHÉMÉRIDES
THANK YOUFOR YOUR ATTENTION!
The parent body search 21/22