Dynamics of Natural and Artificial Celestial Bodies: Proceedings of the US/European Celestial Mechanics Workshop, held in Poznań, Poland, 3–7 July 2000

453 Pages·2001·12.97 MB·English

by  Antonio Elipe

Dynamics of Naturaland Artificial
Celestial Bodies
Proceedings of the US/European Celestial Mechanics Workshop,
held in Poznan, Poland, 3-7 July 2000
Edited by
HALINA PRETKA-ZIOMEK and
EDWINWNUK
Astronomical Observatory ofthe A. Mickiewicz University,
Poznan, Poland
P. KENNETH SEIDELMANN
University ofVirginia and U.S. Naval Observatory,
U.S.A.
and
DAVID RICHARDSON
University of Cincinnati, U.S.A.
Partly reprinted from Celestial Mechanics and Dynamical Astronomy
Valurne 81: 1-2 (2001)
....
''
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-5865-2 ISBN 978-94-017-1327-6 (eBook)
DOI 10.1007/978-94-017-1327-6
Printed on acid-free paper
All Rights Reserved
© 2001 Springer Science+Business Media Dordrecht
Originally published by Kluwer Academic Publishers in 2001
No part of the material protected by this copyright notice may be reproduced or
utilized in any form or by any means, electronic or mechanical
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DYNAMICS OF NATURALAND ARTIFICIAL CELESTIAL BODIES
Preface 1-2
A. ELIPE and M. VA LLEJO I On the Attitude Dynamie s of Perturbed Triaxial
Rigid Bodies 3-12
J. W. MITCHELL and D. L. RICHARDSON I A Simplified Kinetic Element
Formulation for the Rotation of a Perturbed Mass-Asymmetrie Rigid
Body 13-25
W. S. KOON, M. W. LO, J. E. MARSDEN and S. D. ROSS I Resonance and
Capture of Jupiter Comets 27-38
D. J. SCHEERES I Changes in Rotational Angular Momentum due to Gravi
tational Interactions between Two Finite Bodies 39-44
F. MONDEJAR, A. VIGUERAS and S. FERRER I Symmetries, Reduction and
Relative Equilibria for a Gyrostat in the Three-body Problem 45-50
B. S. BARDIN and A. J. MACIEJEWSKI I Quasi-static Motions of Visco
elastic Satellites 51-56
K. T. ALFRIEND, S. R. VADALI and H. SCHAUB I Formation Flying Satel
lites: Control by an Astrodynamicist 57-62
W. S. KOON, M. W. LO, J. E. MARSDEN and S. D. ROSS I Low Energy
Transfer to the Moon 63-73
S. JANCART and A. LEMAITRE I Dissipative Forces and Extemal Re-
sonances 75-80
S. BREITER I Lunisolar Resonances Revisited 81-91
K. MUINONEN, J. VIRTANEN and E. BOWELL I Collision Probability for
Earth-Crossing Asteraids Using Orbital Ranging 93-101
I. P. WILLIAMS I The Dynamie s of Meteoroid Streams 103-113
V. LAINEY, A. VIENNE and L. DURIEZ I New Estimation of Usually Neg-
lected Forces Actingon Galilean System 115-122
L. BENET I Occurrence ofPlanetary Rings with Shepherds 123-128
E. LEGA and C. FROESCHLE I On the Relationship between Fast Lyapunov
Indicator and Periodic Orbits for Symplectic Mappings 129-147
D. VOKROUHLICKY, S. R. CHESLEY and A. MILANII On the Observability
of Radiation Forces acting on Near-Earth Asteraids 149-165
J. C. MUZZIO, M. M. VERGNE, F. C. WACHLIN and D. D. CARPINTEROI
Stellar Motions in Galactic Satellites 167-176
General Problems of Celestial Mechanics
C. D. HALL I Attitude Dynamics of Orbiting Gyrostats 177-186
A. J. MACIEJEWSKI I Non-integrability of a Certain Problem of Rotational
Motion of a Rigid Satellite 187-192
J.-E. ARLOT, W. THUILLOT and Ch. RUATTIIMutual Events ofthe Saturnian
Satellites: a Test of the Dynamical Models 193-196
A-n. SAAD and H. KINOSHITA I An Analytical Theory of Motion of Nereid 197-204
P. BIDART I MPP01, a New Solution for Moon's Planetary Perturbations.
Comparison to Numerical Integration 205-210
Posters
P. BARTCZAK and S. BREITER I The Improved Model of Potential for
Irregular Bodies 211-212
A. A. VAKHIDOV I An Efficient Algorithm for Computation of Hansen Coef-
ficients and Their Derivatives 213-214
J. KLACKA I On the Poynting-Robertson Effect and Analytical Solutions 215-217
V. V. PASHKEVICH I Development of the Numerical Theory of the Rigid Earth
Rotation 219-221
V. A. AVDYUSHEVand T.V. BORDOVITSYNAI Algorithms ofthe Numer-
ical Simulation of the Motion of Satellites 223-224
E. Y. TITARENKO, V. A. AVDYUSHEV and T. V. BORDOVITSYNA I Nu
merical Simulation of the Motion of Martian Satellites 225-226
Resonances and Stability
A. I. NEISHTADT, C. SIMO and V. V. SIDORENKO IStability ofLong-period
Planar Satellite Motions in a Circular Orbit 227-233
L. FLORIA I Solving a Gylden-Mescerskij System in Delaunay-Scheifele-Like
Variables 235-240
L. E. BYKOVA and T. Y. GALUSHINA I Near-Earth Asteroids Close to Mean
Motion Resonances: The Orbital Evolution 241-246
V. LANCHARES and T. L. MORATALLA I Lyapunov Stability for Lagrange
Equilibria of Orbiting Dust 247-252
P. ROBUTEL and J. LASKAR I Global Dynamics in the Solar System 253-258
K. GOZDZIEWSKI I Lyapunov Stability of the Lagrangian Libration Points
in the Unrestricted Problem of a Symmetrie Body and a Sphere in
Resonance Cases 259-260
A. E. ROSAEV I On the Behaviour of Stationary Point in Quasi-central Con-
figuration Dynamics 261-262
Z. SANDOR and M. H. MORAIS I A Mapping Model for the Coorbital
Problem 263-264
H. UMEHARA I Self-similar Structure Induced by Linear Three-body
System 265-267
Dynmnics of asteroids, comets and meteors
S. A. KLIONER I Multidimensional Fourier Transformation of the Planetary
Disturbing Function 269-272
A. A. VAKHIDOV I Asteroid Orbits in Some Three-body Resonances 273-280
G. MICHALAKIDetermination ofMasses ofSix Asteroids from Close Asteroid-
asteroidEncounters 281-282
0 VASILKOVA I Schwarzschieid Nonequatorial Periodic Motion about an
AsteroidModeledas a Triaxial Rotating Ellipsoid 283-288
S. BERINDEI A Quantitative Approach ofthe Orbital Uncertainty Propagation
through Close Encounters 289-294
J.A. M. FERNANDEZ, A. F. GARCIA and J. P. ERADE I Predictions, Obser-
vation and Analysis of Asteroid's Close Encounters 295-300
ROSAEV A.E. I The Reconstruction of Genetic Relations between Minor
Planets, based on their Orbital Characteristics 301-303
P. A. DYBCZYNSKI and H. PRETKA-ZIOMEK I Dynamically New Comets
in the Solar System 305-306
M. BROZ and D. VOKROUHLICKY I The Peculiar Orbit of Vysheslavia:
Further Hints for its Yarkovsky Driven Origin? 307-312
J. KLACKA and S. GAJDOS I Kuiper-Belt Objects: Distribution of Orbital
Elements and Observational Selection Effects 313-320
0. P. BYKOV I Short Are CCD Observations ofCelestial Bodies: New Approach 321-326
S. GAJDOS I NEO Observation Program at Astronomical Observatory in
Modra 327-330
P. KANKIEWICZ I Moon-Earth Separation Problem in the Dynamics of Near
Earth Asteroids 331-332
0. M. KOCHETOVA I Determination of Mass of Jupiter and That of Some
Minor Planets from Observations of Minor Planets Moving in 2: 1 Com-
mensurability with Jupiter 333-334
N. 0. KOMAROVA I Ephemeris Meaning ofParameters of Asteroid's Apparent
Motion 335-337
A. BRUNINI and F. LOPEZ-GARCIA I Primordial Depletion of the Inner
Region of the Asteroid Belt, a < 2.2 AU 339-340
V. P. TITARENKO, L. E. BYKOVA and T. V. BORDOVITSYNA I Numerical
Simulation of the Motion of Small Bodies of the Solar System by the
Symbolic Computation System "Mathematica" 341-342
I. WLODARCZYKI The Prediction of the Motion of Atens, Apollosand Amors
over Long Intervals of Time 343-345
J. KLACKA and M. GAJDOSIK I Orbital Motion in Outer Solar System 347-349
J. KLACKA I Solar Wind and Motion of Meteoroids 351-353
J. KLACKA and M. KOCIFAJ I On the Stability ofthe Zodiacal Cloud 355-357
J. KLACKA and M. KOCIFAJ I Interaction of Stationary Nonspherical Inter-
planetary Dust Partide with Solar Electromagnetic Radiation 359-361
L. NESLUSAN I The Photographically Observed Meteors of (Pegasids ?) Stream
Associated with Comet 18P/Perrine-Mrkos 363-364
L. NESLUSAN I A Sketch of an Orbital-Momentum-Based Criterion ofDiver-
sity of Two Keplerian Orbits 365-366
I. V. SEMENOV and V. P. KOROBEINIKOV I On Modeling of Small Celestial
Body Fracture in Planet Atmospheres 367-368
V. P. STULOV I Approximating Trajectories of Observed Bolides with Account
for Fragmentation 369-371
Artificial Satellite Dynamics
S. P. RUDENKO, V. K. TARADY, A. V. SERGEEV and N. V. KARPOV I
Orbit Determination ofthe Geosynchronous Space Debris Kupon Satel
lite Using its CCD Observations at 2-meter Telescope at the Terskol
Peak 373-374
A. I. NAZARENKO, V. YURASOV, P. CEFOLA, R. PROULX and G.
GRANHOLM I Monitoring of Variations of the Upper Atmosphere
Density 375-384
K. KURZYNSKA and A. GABRYSZEWS KAI Inftuence of the Local Tropo-
sphere on GPS Measurements 385-394
A. BOBOJC and A. DROZYNER I Orbit Determination U sing Satellite Gravity
Gradiometry Observations 395-400
A. I. NAZARENKO and V. YURASOV I Semi-analytical Models of Satellites
Motion for Russian Space Surveillance System 401-406
P. H. C. N. LIMA Jr., S. da SILVA FERNANDES and R. V. DE MORAES I
Semi-Analytical Method to Study Geopotential Perturbations Consid-
ering High Eccentric Resonant Orbits 407-413
G. B. PALMERINI I Coordinated Orbital Control for Satellite Constellations
and Formations 415-424
AL NAZARENKO, N. N. SMIRNOV andA. B. KISELEV IThe Space Debris
Evolution Modeling Taking into Account Satellite's Collisions 425-426
W. SCHULZ, A. F. B. A. PRADO and R. V. DE MORAES I IncHnation Change
Using Atmospheric Drag 427-428
H. UMEHARA I An Optical Scanning Search for GEO Debris 429-431
H. UMEHARA I Co-location of Geostationary Satellites by Imaginary Inter
action Maneuvers 433-434
I. WYTRZYSZCZAK, S. BREITERand B. MARCINIAKIEvolution of Super-
geostationary Orbits on a Time Span of 200 years 435-436
Stellar and Galactic Dynamics
J. A. LOPEZ, M. J. MARTINEZ and F. J. MARCO I Dynarnical Method for
the Analysis of the Systematic Errors in Stellar Catalogues 437-442
E. GRIV, M. GEDALIN, D. EICHLER and C. YUANIResonant Excitation of
Density Waves in Galaxies 443-452
A. TSVETKOV and M. BABADJANIANTS I Constructing of the Stellar Ve-
locity Field Using Hipparcos Data 453-454
T. BORKOVITS I Tidal and Rotational Effects in the Evolution of Hierarchical
Tripie Stellar Systems 455-456
F. J. MARCO, J. A. LOPEZ, M. J. MARTINEZ I Analysis of Catalog Correc-
tions with Respect to the Hipparcos Reference Frame 457-458
List of Participants
ALFRlEND Kyle T. BARLIER Francois
Aerospace Engineering Observatoire de Ia Cote d 'Azur
Texas A&M University Av. Nicolas Copernic
3141 TAMU, College Station 06130 Grasse, France
TX 77843-3141, USA francois. [email protected]
alfriend @aero. tamu. edu
BARTCZAK Przemyslaw
ARLOT Jean-Eudes Astronomical 0 bservatory
Institut de mecanique celeste A. Mickiewicz University
CNRS, Observatoire de Paris ul. Sloneczna 36
77, av. Denfert-Rochereau 60-286 Poznan, Poland
75014 Paris, France przebar@amu. edu. pl
[email protected]
BENET Luis
AVDYUSHEV Victor Max-Planck-Institut für Kernphysik
Applied Mathematics and Postfach 103980
Mechanics Institute D-69029 Heidelberg, Germany
Lenin Avenue 36 luis. benet@mpi-hd. mpg. de
634050 Tomsk, Russia
astrodep@niipmm. tsu. ru BERINDE $tefan
Astronomical 0 bservatory
BABADZHANYANTS Maria Babe§-Bolyai University
Astronomical Institute Str. Ciresilor No. 19
Saint Petersburg University Cluj-Napoca 3400, Romania
Bibliotechaya 2, Petrodverets sberinde@math. ubbcluj. ro
198904 Saint Petersburg, Russia
masha@lkb. usr. pu. ru BIDART Patrick
DANOF /UMR8630
BARDIN Boris S. Observatoire de Paris
Dept. of Theoretical Mechanics 61, av. de l'Observatoire
Moscow A viation Institute 75014 Paris, France
Volokolamskoe Shosse 4 bidart@danof. obspm.fr
125871 Moscow, Russia
boris. bardin@mailcity. com
List of Participants
BOBOJC Andrzej DIKOVA Smiliana
Institute of Geodesy Institute of Astronomy
University of Warmia and Mazury Bulgarian Academy of Seiences
ul. Oczapowskiego 1 72 Tzarigradsko schossee
10-957 Olsztyn, Poland 1784 Sofia, Bulgaria
altair@uwm. edu.pl skydyn@bas. bg
BORKOVITS Tamas DROZYNER Andrzej
Baja Astronomical Observatory Institute of Geodesy
Bacs-Kiskun County University of Warmia and Mazury
Szegedi ut, P.O. Box 766 ul. Oczapowskiego 1
6500 Baja, Hungary 10-957 Olsztyn, Poland
borko@electra. bajaobs.hu drozyner@uwm. edu. pl
BREITER Slawomir DYBCZYNSKI Piotr A.
Astronomical Observatory Astronomical Observatory
A. Mickiewicz University A. Mickiewicz University
ul. Sloneczna 36 ul. Sloneczna 36
60-286 Poznan, Poland 60-286 Poznan, Poland
breiter@amu. edu. pl [email protected]
BROZ Miroslav ELIPE Antonio
Institute of Astronomy Grupo de Mecanica Espacial
Charles University Universidad de Zaragoza
V Hole8ovickach 2 50009 Zaragoza, Spain
18000 Prague 8, Czech Republic elipe@posta. unizar. es
mira@sirrah. troja. mff. cuni. cz
FELDMAN Renata
BUCIORA Marcin Observatoire de la Cöte d'Azur
Astronomical Observatory Av. Copernic
A. Mickiewicz University 06130 Grasse, France
ul. Sloneczna 36 [email protected]
60-286 Pozna.ll, Poland
marcin. buciora @domdata. FLORIA Luis
depfa-it.com Dept. de Matematica Aplicada
Universidad de Valladolid
BYKOV Oleg Paseo del Cauce sjn
Pulkova Astronomical Observatory 47011 Valladolid, Spain
65 Pulkovakoje schosse luiflo @wmatem. eis. uva. es
196140 St. Petersburg, Russia
[email protected]. edu