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Volumn 99, Issue 4, 2007, Pages 261-292

Long-term evolution of orbits about a precessing oblate planet: 3. A semianalytical and a purely numerical approach

Author keywords

Deimos; Equinoctial precession; Mars; Natural satellites; Natural satellites' orbits; Orbital elements; Osculating elements; The Goldreich lock

Indexed keywords


EID: 36649013228     PISSN: 09232958     EISSN: 15729478     Source Type: Journal    
DOI: 10.1007/s10569-007-9099-0     Document Type: Article
Times cited : (16)

References (48)
  • 2
    • 0001573933 scopus 로고
    • Solution of the problem of artificial satellite theory without drag
    • Brouwer D. (1959). Solution of the problem of artificial satellite theory without drag. Astron. J. 64: 378-397
    • (1959) Astron. J. , vol.64 , pp. 378-397
    • Brouwer, D.1
  • 4
    • 0010124825 scopus 로고
    • Analytical methods for the orbits of artificial satellites of the moon
    • Brumberg V.A., Evdokimova L.S. and Kochina N.G. (1971). Analytical methods for the orbits of artificial satellites of the moon. Celestial Mech. 3: 197-221
    • (1971) Celestial Mech. , vol.3 , pp. 197-221
    • Brumberg, V.A.1    Evdokimova, L.S.2    Kochina, N.G.3
  • 5
    • 84995103205 scopus 로고
    • Dynamical characteristics of phobos and deimos
    • Burns J. (1972). Dynamical characteristics of phobos and deimos. Rev. Geophys. Space Phys. 6: 463-483
    • (1972) Rev. Geophys. Space Phys. , vol.6 , pp. 463-483
    • Burns, J.1
  • 6
    • 0041778987 scopus 로고
    • The dynamical evolution and origin of the Martian moons
    • Burns J. (1978). The dynamical evolution and origin of the Martian moons. Vistas Astron. 22: 193-210
    • (1978) Vistas Astron. , vol.22 , pp. 193-210
    • Burns, J.1
  • 7
    • 0001452664 scopus 로고
    • Cassini's second and third laws
    • Colombo G. (1966). Cassini's second and third laws. Astron. J. 71: 891-896
    • (1966) Astron. J. , vol.71 , pp. 891-896
    • Colombo, G.1
  • 8
    • 84981750805 scopus 로고
    • Luni-solar perturbations of the orbit of an earth satellite
    • 3
    • Cook G.E. (1962). Luni-solar perturbations of the orbit of an earth satellite. Geophys. J. 6(3): 271-291
    • (1962) Geophys. J. , vol.6 , pp. 271-291
    • Cook, G.E.1
  • 9
    • 1542366376 scopus 로고    scopus 로고
    • Gauge freedom in the N-body problem of celestial mechanics
    • astro-ph/0307130
    • Efroimsky M. and Goldreich P. (2004). Gauge freedom in the N-body problem of celestial mechanics. Astron. Astrophys. 415: 1187-1199, astro-ph/0307130
    • (2004) Astron. Astrophys. , vol.415 , pp. 1187-1199
    • Efroimsky, M.1    Goldreich, P.2
  • 12
    • 33751574091 scopus 로고    scopus 로고
    • Long-term evolution of orbits about a precessing oblate planet: 2. the case of variable precession
    • Efroimsky M. (2006). Long-term evolution of orbits about a precessing oblate planet: 2. The case of variable precession. Celestial Mech. Dynam. Astron. 96: 259-288
    • (2006) Celestial Mech. Dynam. Astron. , vol.96 , pp. 259-288
    • Efroimsky, M.1
  • 14
    • 33751571563 scopus 로고    scopus 로고
    • Gauge freedom in orbital mechanics
    • astro-ph/0603092
    • Efroimsky M. (2006). Gauge freedom in orbital mechanics. Ann. N. Y. Academy Sci. 1065: 346-374, astro-ph/0603092
    • (2006) Ann. N. Y. Academy Sci. , vol.1065 , pp. 346-374
    • Efroimsky, M.1
  • 15
    • 39749175016 scopus 로고    scopus 로고
    • The physics of bodily tides in terrestrial planets, and the appropriate scales of dynamical evolution
    • in press
    • Efroimsky, M., Lainey, V.: The physics of bodily tides in terrestrial planets, and the appropriate scales of dynamical evolution. J. Geophys. Res.-Planets (2007, in press)
    • (2007) J. Geophys. Res.-Planets
    • Efroimsky, M.1    Lainey, V.2
  • 16
    • 0001517880 scopus 로고
    • An efficient integrator that uses Gauss-Radau spacings. Dynamics of comets: Their origin and evolution
    • Carusi, A., Valsecchi, G.B. (eds.) Astrophysics and Space Science Library, Dordrecht, Reidel
    • Everhart, E.: An efficient integrator that uses Gauss-Radau spacings. Dynamics of comets: their origin and evolution. In: Carusi, A., Valsecchi, G.B. (eds.) Proceedings of IAU Colloquium 83 held in Rome on 11-15 June 1984. vol. 115, p. 185. Astrophysics and Space Science Library, Dordrecht, Reidel (1985)
    • (1985) Proceedings of IAU Colloquium 83 Held in Rome on 11-15 June 1984 , vol.115 , pp. 185
    • Everhart, E.1
  • 18
    • 0009373780 scopus 로고
    • Inclination of satellite orbits about an oblate precessing planet
    • Goldreich P. (1965). Inclination of satellite orbits about an oblate precessing planet. Astron. J. 70: 5-9
    • (1965) Astron. J. , vol.70 , pp. 5-9
    • Goldreich, P.1
  • 19
    • 0041760236 scopus 로고    scopus 로고
    • Infrared space observatories: How to mitigate zodiacal dust interference
    • Gurfil P., Kasdin N.J., Arrell R.J., Seager S. and Nissanke S. (2002). Infrared space observatories: How to mitigate zodiacal dust interference. Astrophys. J. 567: 1250-1261
    • (2002) Astrophys. J. , vol.567 , pp. 1250-1261
    • Gurfil, P.1    Kasdin, N.J.2    Arrell, R.J.3    Seager, S.4    Nissanke, S.5
  • 20
    • 0036496350 scopus 로고    scopus 로고
    • Characterization and design of out-of-ecliptic trajectories using deterministic crowding genetic algorithms
    • Gurfil P. and Kasdin N.J. (2002a). Characterization and design of out-of-ecliptic trajectories using deterministic crowding genetic algorithms. Comput. Methods Appl. Mech. Eng. 191: 2169-2186
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 2169-2186
    • Gurfil, P.1    Kasdin, N.J.2
  • 21
    • 0037032706 scopus 로고    scopus 로고
    • Niching genetic algorithms-based characterization of geocentric orbits in the 3D elliptic restricted three-body problem
    • Gurfil P. and Kasdin N.J. (2002b). Niching genetic algorithms-based characterization of geocentric orbits in the 3D elliptic restricted three-body problem. Comput. Methods Appl. Mech. Eng. 191: 5673-5696
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , pp. 5673-5696
    • Gurfil, P.1    Kasdin, N.J.2
  • 22
    • 34249810044 scopus 로고    scopus 로고
    • Martian cratering 9: Toward resolution of the controversy about small craters
    • Hartmann W.K. (2007). Martian cratering 9: toward resolution of the controversy about small craters. Icarus 189: 274-278
    • (2007) Icarus , vol.189 , pp. 274-278
    • Hartmann, W.K.1
  • 23
    • 0040151462 scopus 로고    scopus 로고
    • The Kozai Mechanism and the stability of planetary orbits in binary star systems
    • Innanen K.A., Zheng J.Q., Mikkola S. and Valtonen M.J. (1997). The Kozai Mechanism and the stability of planetary orbits in binary star systems. Astron. J. 113: 1915-1919
    • (1997) Astron. J. , vol.113 , pp. 1915-1919
    • Innanen, K.A.1    Zheng, J.Q.2    Mikkola, S.3    Valtonen, M.J.4
  • 25
    • 25644460642 scopus 로고
    • On the effects of the Sun and the Moon upon the motion of a close Earth satellite
    • Kozai Y. (1959). On the effects of the Sun and the Moon upon the motion of a close Earth satellite. SAO Special Report 22: 7-10
    • (1959) SAO Special Report , vol.22 , pp. 7-10
    • Kozai, Y.1
  • 26
    • 0042589264 scopus 로고
    • Effect of precession and nutation on the orbital elements of a close earth satellite
    • Kozai Y. (1960). Effect of precession and nutation on the orbital elements of a close earth satellite. Astron. J. 65: 621-623
    • (1960) Astron. J. , vol.65 , pp. 621-623
    • Kozai, Y.1
  • 27
    • 3042691940 scopus 로고    scopus 로고
    • New accurate ephemerides for the Galilean satellites of Jupiter. I. Numerical integration of elaborated equations of motion
    • Lainey V., Duriez L. and Vienne A. (2004). New accurate ephemerides for the Galilean satellites of Jupiter. I. Numerical integration of elaborated equations of motion. Astron. Astrophys. 420: 1171-1183
    • (2004) Astron. Astrophys. , vol.420 , pp. 1171-1183
    • Lainey, V.1    Duriez, L.2    Vienne, A.3
  • 29
    • 0000003245 scopus 로고
    • Secular evolution of the solar system over 10 million years
    • Laskar J. (1988). Secular evolution of the solar system over 10 million years. Astron. Astrophys. 198: 341-362
    • (1988) Astron. Astrophys. , vol.198 , pp. 341-362
    • Laskar, J.1
  • 30
    • 12044250041 scopus 로고
    • The chaotic obliquity of the planets
    • Laskar J. and Robutel J. (1993). The chaotic obliquity of the planets. Nature 361: 608-612
    • (1993) Nature , vol.361 , pp. 608-612
    • Laskar, J.1    Robutel, J.2
  • 32
    • 36048991760 scopus 로고    scopus 로고
    • Analytic theory of the YORP effect for near-spherical objects
    • Nesvorný D. and Vokrouhlický D. (2007). Analytic theory of the YORP effect for near-spherical objects. Astron. J. 134: 1750-1768
    • (2007) Astron. J. , vol.134 , pp. 1750-1768
    • Nesvorný, D.1    Vokrouhlický, D.2
  • 34
    • 0003148011 scopus 로고
    • The composition of phobos: Evidence for carbonateous chondrite surface from spectral analysis
    • Pang K.D., Pollack J.B., Veverka J., Lane A.L. and Ajello J.M. (1978). The composition of phobos: evidence for carbonateous chondrite surface from spectral analysis. Science 199: 64
    • (1978) Science , vol.199 , pp. 64
    • Pang, K.D.1    Pollack, J.B.2    Veverka, J.3    Lane, A.L.4    Ajello, J.M.5
  • 35
    • 0001703428 scopus 로고
    • Gas drag in primordial circumplanetary envelopes. a mechanism for satellite capture
    • Pollack J.B., Burns J.A. and Tauber M.E. (1979). Gas drag in primordial circumplanetary envelopes. a mechanism for satellite capture. Icarus 37: 587
    • (1979) Icarus , vol.37 , pp. 587
    • Pollack, J.B.1    Burns, J.A.2    Tauber, M.E.3
  • 36
    • 0040854615 scopus 로고
    • Perturbations of the motion of artificial satellites, caused by the earth oblateness
    • Proskurin V.F. and Batrakov Y.V. (1960). Perturbations of the motion of artificial satellites, caused by the earth oblateness. Bull. Inst. Theor. Astro. 7: 537-548
    • (1960) Bull. Inst. Theor. Astro. , vol.7 , pp. 537-548
    • Proskurin, V.F.1    Batrakov, Y.V.2
  • 37
    • 0029519519 scopus 로고
    • Simultaneous estimation of the masses of mars, phobos, and deimos using spacecraft distant encounters
    • Smith D.E., Lemoine F.G. and Zuber M.T. (1995). Simultaneous estimation of the masses of mars, phobos, and deimos using spacecraft distant encounters. Geophys. Res. Lett. 22: 2171-2174
    • (1995) Geophys. Res. Lett. , vol.22 , pp. 2171-2174
    • Smith, D.E.1    Lemoine, F.G.2    Zuber, M.T.3
  • 39
    • 0008981625 scopus 로고
    • Viking first encounter of phobos. Preliminary results
    • Tolson, R.H., 15, collaborators.: Viking first encounter of phobos. Preliminary results. Science 199, 61 (1978)
    • (1978) Science , vol.199 , pp. 61
    • Tolson, R.H.1
  • 40
    • 12044249860 scopus 로고
    • The chaotic obliquity of Mars
    • Touma J. and Wisdom J. (1993). The chaotic obliquity of Mars. Science 259: 1294-1297
    • (1993) Science , vol.259 , pp. 1294-1297
    • Touma, J.1    Wisdom, J.2
  • 41
    • 4243635078 scopus 로고
    • Lie-Poisson integrators for rigid body dynamics in the solar system
    • Touma J. and Wisdom J. (1994). Lie-Poisson integrators for rigid body dynamics in the solar system. Astron. J. 107: 1189-1202
    • (1994) Astron. J. , vol.107 , pp. 1189-1202
    • Touma, J.1    Wisdom, J.2
  • 42
    • 4043061183 scopus 로고
    • Phobos and deimos
    • Veverka J. (1977). Phobos and deimos. Sci. Am. 236: 30
    • (1977) Sci. Am. , vol.236 , pp. 30
    • Veverka, J.1
  • 43
    • 0001222511 scopus 로고
    • Large-scale variations in the obliquity of Mars
    • Ward W. (1973). Large-scale variations in the obliquity of Mars. Science 181: 260-262
    • (1973) Science , vol.181 , pp. 260-262
    • Ward, W.1
  • 44
    • 0000361573 scopus 로고
    • Climatic variations of Mars. Astronomical theory of insolation
    • Ward W. (1974). Climatic variations of Mars. Astronomical theory of insolation. J. Geophys. Res. 79: 3375-3386
    • (1974) J. Geophys. Res. , vol.79 , pp. 3375-3386
    • Ward, W.1
  • 45
    • 0018306548 scopus 로고
    • Present obliquity oscillations of Mars-Fourth-order accuracy in orbital e and i
    • Ward W. (1979). Present obliquity oscillations of Mars-Fourth-order accuracy in orbital e and i. J. Geophys. Res. 84: 237-241
    • (1979) J. Geophys. Res. , vol.84 , pp. 237-241
    • Ward, W.1
  • 46
    • 0000650147 scopus 로고
    • Comments on the long-term stability of the earth's obliquity
    • Ward W. (1982). Comments on the long-term stability of the earth's obliquity. Icarus 50: 444-448
    • (1982) Icarus , vol.50 , pp. 444-448
    • Ward, W.1
  • 47
    • 36649010159 scopus 로고    scopus 로고
    • Dynamics of inner neptunian satellites
    • Abstracts of the 37th DPS Meeting of the Americal Astronomical Society
    • Zhang K., Hamilton, D.P.: Dynamics of inner neptunian satellites. Abstracts of the 37th DPS Meeting of the Americal Astronomical Society. In: AAS Bulletin,37, 667-668 (2005)
    • (2005) AAS Bulletin , vol.37 , pp. 667-668
    • Zhang, K.1    Hamilton, D.P.2
  • 48
    • 12144290123 scopus 로고    scopus 로고
    • Analytical theory of the motion of phobos: A comparison with numerical integration
    • Waz P. (2004). Analytical theory of the motion of phobos: a comparison with numerical integration. Astron. Astrophys. 416: 1187-1192
    • (2004) Astron. Astrophys. , vol.416 , pp. 1187-1192
    • Waz, P.1


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