J. Laskar & P. Robutel The chaotic obliquity of the planets. Nature 361, 608 - 612 (1993);
REFERENCES
.Temperatures in a runaway greenhouse on the evolving Venus: implications for water loss, Andrew J. Watsona T. M. Donahue and W. R. Kuhn Earth and Planetary Science Letters Volume 68, Issue 1 , April 1984, Pages 1-6)
Phillips, R.J., and V.L. Hansen, Geological evolution of Venus: Rises, plains, plumes, and plateaus, Science, 279, 1492-1497, 1998.
Smith, D.E., M.T. Zuber, with R.J. Phillips, et al., Topography of the Northern Hemisphere of Mars from the Mars Orbiter Laser Altimeter, Science, 279, 1686-1692, 1998.
Hauck II, S.A., R.J. Phillips, and M. Price, Venus: Crater distribution and plains resurfacing models, J. Geophys. Res., 103, 13,635-13,642, 1998.
**********
Andoyer, H., 1923. Cours de Me´canique Ce´leste. Gauthier-Villars, Paris.
Arkani-Hamed, J., Tokso¨z, M.N., 1984. Thermal evolution of Venus. Phys.
Earth Planet. Inter. 34, 232–250.
Avduevskii, V.S., Golovin, Iu.M., Zavelevich, F.S., Likhushin, V.Ia.,
Marov, M.Ia., Melnikov, D.A., Merson, Ia.I., Moshkin, B.E., Razin,
K.A., Chernoshchekov, L.I., 1976. Preliminary results of an investigation
of the light regime in the atmosphere and on the surface of Venus.
Kosmicheskie Issledovaniia 14, 735–742.
Busse, F.H., 1968. Steady fluid flow in a precessing spheroidal shell. J.
Fluid Mech. 33, 739–751.
Carpenter, R.L., 1964. Study of Venus by CW radar. Astron. J. 69, 2–11.
Carpenter, R.L., 1966. Study of Venus by CW radar—1964 results. Astron.
J. 71, 142–152.
Carpenter, R.L., 1970. A radar determination of the rotation of Venus.
Astron. J. 75, 61–66.
Chapman, S., Lindzen, R., 1970. Atmospheric Tides. Thermal and Gravitational.
Reidel, Dordrecht.
Colombo, G., 1965. Rotation period of the planet Mercury. Nature 208,
575–578.
Colombo, G., Shapiro, I.I., 1966. The rotation of the planet Mercury.
Astrophys. J. 145, 296–307.
Correia, A.C.M., Laskar, J., 2001. The four final rotation states of Venus.
Nature 411, 767–770.
Correia, A.C.M., Laskar, J., 2003a. Long-term evolution of the spin of
Venus. II. Numerical simulations. Icarus 163, 24–45.
Correia, A.C.M., Laskar, J., 2003b. Different tidal torques on a planet with
a dense atmosphere and consequences to the spin dynamics. Preprint.
Counselman, C.C., Shapiro, I.I., 1970. Spin–orbit resonance of Mercury.
Symp. Math. 3, 121–169.
Darwin, G.H., 1880. On the secular change in the elements of a satellite
revolving around a tidally distorted planet. Philos. Trans. R. Soc.
London 171, 713–891.
Davies, M.E., Colvin, T.R., Rogers, P.G., Chodas, P.W., Sjogren, W.L.,
Akim, E.L., Stepaniants, V.A., Vlasova, Z.P., Zakharov, A.I., 1992.
The rotation period, direction of the north pole, and geodetic control
network of Venus. J. Geophys. Res. 97, 13141–13151.
Dobrovolskis, A.R., 1978. The rotation of Venus. Ph.D. thesis, California
Institute of Technology.
Dobrovolskis, A.R., 1980. Atmospheric tides and the rotation of Venus. II.
Spin evolution. Icarus 41, 18–35.
Dobrovolskis, A.R., Ingersoll, A.P., 1980. Atmospheric tides and the rotation
of Venus. I. Tidal theory and the balance of torques. Icarus 41,
1–17.
Gans, R.F., 1972. Viscosity of the Earth’s core. J. Geophys. Res. 77,
360–366.
Gold, T., Soter, S., 1969. Atmospheric tides and the resonant rotation of
Venus. Icarus 11, 356–366.
Goldreich, P., Peale, S.J., 1966. Spin orbit coupling in the Solar System.
Astron. J. 71, 425–438.
Goldreich, P., Peale, S.J., 1970. The obliquity of Venus. Astron. J. 75,
273–284.
Goldreich, P., Soter, S., 1966. Q in the Solar System. Icarus 5, 375–389.
Goldstein, R.M., 1964. Venus characteristics by Earth-based radar. Astron.
J. 69, 12–19.
Goldstein, S., 1965. Modern Developments in Fluid Mechanics. Dover,
New York.
Hart, M.H., 1978. The evolution of the atmosphere of the Earth. Icarus 33,
23–39.
Henrard, J., 1993. The adiabatic invariant in classical dynamics, in:
C.K.R.T. Jones, U. Kirchgraber, H.O. Walthers (Eds.), Dynamics Reported,
Springer-Verlag, New York, pp. 117–235.
Herring, T.A., Gwinn, C.R., Shappiro, I.I., 1986. Geodesy by radio interferometry:
studies of the forced nutations of the Earth. I—Data analysis.
II—Interpretation. J. Geophys. Res. 91, 4755–4765.
22 A.C.M. Correia et al. / Icarus 163 (2003) 1–23
Hinderer, J., Legros, H., Pedotti, G., 1987. Atmospheric pressure torque
and axial rotation of Venus. Adv. Space Res. 7, 311–314.
Hunten, D.M., 1993. Atmospheric evolution of the terrestrial planets.
Science 259, 915–920.
Joshi, M.M., Haberle, R.M., Reynolds, R.T., 1997. Simulations of the
atmospheres of synchronously rotating terrestrial planets orbiting M
dwarfs: conditions for atmospheric collapse and the implications for
habitability. Icarus 129, 450–465.
Kasting, J.F., 1993. Earth’s early atmosphere. Science 259, 920–925.
Kaula, W., 1964. Tidal dissipation by solid friction and the resulting orbital
evolution. J. Geophys. Res. 2, 661–685.
Kino****a, H., 1977. Theory of the rotation of the rigid Earth. Celest. Mech.
15, 277–326.
Konopliv, A.S., Yoder, C.F., 1996. Venusian k2 tidal Love number from
Magellan and PVO tracking data. Geophys: Res. Lett. 23, 1857–1860.
Konopliv, A.S., Borderies, N.J., Chodas, P.W., Christensen, E.J., Sjogren,
W.L., Williams, B.G., Balmino, G., Barriot, J.P., 1993. Venus gravity
and topography: 60th degree and order model. Geophys. Res. Lett. 20,
2403–2406.
Kundt, W., 1977. Spin and atmospheric tides of Venus. Astron. Astrophys.
60, 85–91.
Lago, B., Cazenave, A., 1979. Possible dynamical evolution of the rotation
of Venus since formation. Moon Planets 21, 127–154.
Lambeck, K., 1980. The Earth’s Variable Rotation. Cambridge University
Press, Cambridge, UK.
Laskar, J., 1986. Secular terms of classical planetary theories using the
results of general theory. Astron. Astrophys. 157, 59–70.
Laskar, J., 1988. Secular evolution of the Solar System over 10 million
years. Astron. Astrophys. 198, 341–362.
Laskar, J., 1989. Manipulation des se´ries, in: D. Benest, C. Froeschle´
(Eds.), Modern methods in celestial mechanics, Editions Frontie`res,
Gif-sur-Yvette, pp. 89–107.
Laskar, J., 1990. The chaotic motion of the Solar System. Icarus 88,
266–291.
Laskar, J., 1994a. Large-scale chaos in the Solar System. Astron. Astrophys.
287, L9–12.
Laskar, J., 1994b. Description des routines utilisateur de TRIP. Preprint.
Laskar, J., 1999. The limits of Earth orbital calculations for geological
time-scale use. Philos. Trans. R. Soc. London A 357, 1735–1759.
Laskar, J., Robutel, P., 1993. The chaotic obliquity of the planets. Nature
361, 608–612.
Lumb, L.I., Aldridge, K.D., 1991. On viscosity estimates for the Earth’s
fluid outer core–mantle coupling. J. Geophys. Geoelectr. 43, 93–110.
McCue, J., Dormand, J.R., 1993. Evolution of the spin of Venus. Earth,
Moon, Planets 63, 209–225.
Melton, C.E., Giardini, A.A., 1982. The evolution of the Earth’s atmosphere
and oceans. Geophys. Res. Lett. 9, 579–582.
Mignard, F., 1979. The evolution of the lunar orbit revisited. I. Moon
Planets 20, 301–315.
Mignard, F., 1980. The evolution of the lunar orbit revisited. II. Moon
Planets 23, 185–201.
Munk, W.H., MacDonald, G.J.F., 1960. The Rotation of the Earth: A
Geophysical Discussion. Cambridge University Press, Cambridge, UK.
Ne´ron de Surgy, O., 1996. Influence des effets dissipatifs sur les variations
a` long terme des obliquite´s plane´taires. The`se, Observatoire de Paris.
Ne´ron de Surgy, O., Laskar, J., 1997. On the long term evolution of the
spin of the Earth. Astron. Astrophys. 318, 975–989.
Pais, M.A., Le Moue¨l, J.L., Lambeck, K., Poirier, J.P., 1999. Late Precambrian
paradoxical glaciation and obliquity of the Earth—a discussion of
dynamical constraints. Earth Planet. Sci. Lett. 174, 155–171.
Pepin, R.O., 1991. On the origin and early evolution of terrestrial planet
atmospheres and meteoritic volatiles. Icarus 92, 2–79.
Pepin, R.O., 1994. Evolution of the martian atmosphere. Icarus 111, 289–
304.
Poincare´, H., 1910. Sur la pre´cession des corps de´formables. Bull. Astron.
27, 321–356.
Poirier, J.P., 1988. Transport properties of liquid metals and the viscosity
of the Earth’s core. Geophys. J. 92, 99–105.
Roberts, P.H., Stewartson, K., 1965. On the motion of a liquid in a
spheroidal cavity of a precessing rigid body, II. Proc. Cambridge Phil.
Soc. 61, 279–288.
Rochester, M.G., 1976. The secular decrease of obliquity due to dissipative
core–mantle coupling. Geophys. J. R. Astron. Soc. 46, 109–126.
Sasao, T., Okubo, S., Saito, M., 1980. A simple theory on the dynamical
effects of a stratified core upon the nutational motion of the Earth, in:
R.L. Duncombe (Ed.), Nutation and the Earth’s Rotation: Proceedings
from IAU Symposium no. 78, Kiev, USSR 23–28 May, 1977. International
Astronomical Union. Symposium no. 78, Dordrecht, Holland;
Boston: D. Reidel Pub. Co., p. 165–183.
Schaber, G.G., Strom, R.G., Moore, H.J., Soderblom, L.A., Kirk, R.L.,
Chadwick, D.J., Dawson, D.D., Gaddis, L.R., Boyce, J.M., Russell, J.,
1992. Geology and distribution of impact craters on Venus—what are
they telling us? J. Geophys. Res. 97, 13257–13301.
Shen, M., Zhang, C.Z., 1989. Dynamical evolution of the rotation of
Venus. Earth, Moon, Planets 43, 275–287.
Siebert, M., 1961. Atmospheric Tides—Advances in Geophysics. Academic
Press, New York.
Smith, W.B., 1963. Radar observations of Venus, 1961 and 1959. Astron.
J. 68, 15–21.
Stevenson, D,J, 2002 Planetary magnetic fields Earth and Planetary Science Letters Volume 208, Issues 1-2 , 15 March 2003, Pages 1-11
Stewartson, K., Roberts, P.H., 1963. On the motion of a liquid in a
spheroidal cavity of a precessing rigid body. J. Fluid Mech. 33, 1–20.
Toomre, A., 1974. On the ‘nearly diurnal wobble’ of the Earth. Geophys.
J. R. Astron. Soc. 38, 335–348.
Walker, J.C.G., 1975. Evolution of the atmosphere of Venus. J. Atmos. Sci.
32, 1248–1256.
Williams, G.E., 1989. Tidal rhythmites: geochronometers for the ancient
Earth–Moon system. Episodes 12 (3), 162–171.
Williams, G.E., 1993. History of the Earth’s obliquity. Earth Sci. Revi. 34,
1–45.
Yoder, C.F., 1995. Venus’ free obliquity. Icarus 117, 1–37.
Yoder, C.F., 1997. Venusian spin dynamics, in: S.W. Bougher, D.M.
Hunten, R.J. Philips (Eds.), Venus II: Geology, Geophysics, Atmosphere,
and Solar Wind Environment, University of Arizona Press,
Tucson, pp. 1087–1124.
Zahnle, K.J., Kasting, J.F., Pollack, J.B., 1988. Evolution of a steam
atmosphere during Earth’s accretion. Icarus 74, 62–97.
23 A.C.M. Correia et al. / Icarus 163 (2003) 1–23
Are you stoned?
We can all stand around and gawk.
