Effects of the triaxiality on the rotation of celestial bodies: Application to the Earth, Mars and Eros

Earth, Moon and Planets

Volumn 93, Issue 2, 2003, Pages 107-144

  Souchay, Jean ^a   Folgueira, Marta ^b   Bouquillon, Sébastien ^a  

^a Laboratoire Systemes de Reference Temps Espace   (France)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

Asteroids; Free rotation; Polar motion

Indexed keywords

EARTH ROTATION; MARS; POLAR MOTION; THEORETICAL STUDY;

EID: 10144258708     PISSN: 01679295     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MOON.0000034505.79534.01     Document Type: Article

References (37)

1. Andoyer, H.: 1923, 'Cours de Mechanique Celeste', Gauthiers-Villars, Paris, Vol. 1.
2. Bouquillon, S.: 2000, 'Rotation d'un corps rigide. Application a Mars', Ph.D. Thesis, Observatoire de Paris, France, 214 pp.
3. Bouquillon, S. and Souchay, J.: 1999, 'Precise Modeling of the Precession-Nutation of Mars', Astron. And Astroph. 345, 282-297.
4. Bursa, M.: 1979, 'On Free Nutation of the Rotation Vector of a Rigid Body', Studia geoph. et geod. 23, 205-209.
5. Bursa, M.: 1982, 'Luni-Solar Precession Constant and Accuracy of the Earth's Principal Moments of Inertia', Studia geoph. et geod. 26 107-114.
6. Bursa, M. and Sima,Z.: 1984, 'Equatorial Flattening and Principal Moments of Inertia of the Earth', Studia geoph. et geod. 28, 9-10.
7. Deprit, A.: 1967, 'Free Rotation of a Rigid Body Studied in the Phase Plane'. Amer. J. Phy. 35, 424-428.
8. Fukushima, T.: 1995, 'A Numerical Scheme to Integrate the Rotational Motion of a Rigid Body'.
9. Fukushima, T.: 1996, 'Generalization of Encke's Method and Its Application to the Orbital and Rotational Motions of Celestial Bodies', AJ. 112(3), 1263-1277.
10. Fukushima, T.: 1997, 'Picard Iteration Method, Chebyshev Polynomial Approximation, and Global Numerical Integration of Dynamical Motions'. AJ. 113(5), 1909-1914.
11. Fukushima, T. and Ishizaki, H.: 1994a, 'Elements of Spin Motion', Celes. Mech. 59, 149-159.
12. Fukushima, T. and Ishizaki, H.: 1994b, 'Numerical Computation of Incomplete Elliptic Integrals of a General Form', Celes. Mech. 59, 237-251.
13. Garfinkel, B.: 1966, 'Formal Solution in the Problem of Small Divisors', AJ. 71(8), 657-669.
14. Garfinkel, B., Jupp, A., and Williams, C.: 1971, 'A Recursive von Zeipel Algorithm for the Ideal Resonance Problem', AJ. 76(2), 157-166.
15. Garfinkel, B.: 1973, 'Global Solution of the Ideal Resonance Problem', Celes. Mech. 8, 207-212.
16. Gauchez, D. and Souchay, J.: 2000, 'Analysis and Comparison of Different Estimations of Mars' Polar Motion', Earth Moon and the Planets 84, 33-51.
17. Gerald C. F. and Wheatley, P. O.: 1984, Applied Numerical Analysis, Addison-Wesley Publishing Company.
18. Groten, E.: 2000, 'Parameters of Common Relevance of Astronomy, Geodesy, and Geodynamics', Journal of Geodesy 74-1, 134-140.
19. Hilton, J. L.: 1992, 'The Motion of Mars' Pole. II. The Effect of an Elastic Mantle and Liquid Core', AJ 103, 619-637.
20. Jupp, A.: 1969, 'A Solution of the Ideal Resonance Problem for the Case of
21. Jupp, A. H.: 1974a, 'The Ideal Resonance Problem: A Comparison of the Solutions Expressed in Terms of Mean Elements and in Terms of Initial Conditions', Celes. Mech. 8, 523-530.
22. Jupp, A. H.: 1974b, 'On the Free Rotation of a Rigid Body', Celes. Mech. 9, 3-20.
23. Kinoshita, H.: 1970, 'Stability of the Triangular Lagrangian Points in the General Problem of the Three Bodies', Publ. Astron. Soc. Japan 22(3), 373-381.
24. Kinoshita, H.: 1972a, 'Stationary Motions of a Triaxial Body and their Stabilities', Publ. Astron. Soc. Japan 24, 409-417.
25. Kinoshita, H.: 1972b, 'First-Order Perturbations of the Two Finite Body Problem', Publ. Astron. Soc. Japan 24, 423-457.
26. Kinoshita, H.: 1977, 'Theory of the Rotation of the Rigid Earth', Celes. Mech. 15, 277-326.
27. Kinoshita, H.: 1992, 'Analytical Expansions of Torque-Free Motions for Short and Long Axis Modes', Celes. Mech. 53, 365-375.
28. Miller, J.K., Konopliv, A.S., Antreasian, P.G., Bordi, J.J., Chesley, S., Helfrich,C.E., Owen, W.M., Wang, T.C., Williams, B.G., Yeomans, D. K.: 2002 'Determination of Shape, Gravity, and Rotational State of Asteroid 433 Eros', Icarus 155, 3-17.
29. Moulton, F. R.: 1914, An Introduction to Celestial Mechanics, The MacMillan Company, Second revised Edition.
30. Moulton, F. R.: 1930, Differential Equations, The MacMillan Company.
31. Schastok, J., Soffel, M., and Ruder, H.: 1989, 'Numerical Derivation of Forced Nutation Terms for a Rigid Earth', Celes. Mech. 47, 219-223.
32. Souchay, J. and Kinoshita, H.: 1991, 'Comparison of New Nutation Series with Numerical Integration', Celes. Mech. 52, 45-56.
33. Souchay, J.: 1998, 'Comparisons of the Tables REN-2000 with Numerical Integration and Other Recent Analytic Tables', AJ. 116, 503-515.
34. Whittaker, E. T.: 1961, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, 4th ed. Cambridge University Press, Cambridge.
35. Woolard, E. W.: 1953, 'Theory of the Rotation of the Earth Around Its Center of Mass', Astron. Papers Amer. Ephemeris 15, pt. 1.
36. Yoder, C. F., Standish, E. M.: 1997, 'Martian Precession and Rotation from Viking Lander Range Data', J. Geophys. Res. 102, 4065-4080.
37. Zhang, C. Z.: 1994, 'The Martian Mean Moment of Inertia and the Size of the Mars Core', it Earth Moon and the Planets, 64, 117.