Topographic surfaces and gravitational fields of the Earth, Moon and terrestrial planets

1Kamensky, KK, 1Kislyuk, VS, 1Yatskiv, Ya.S
1Main Astronomical Observatory of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
Kosm. nauka tehnol. 2000, 6 ;(1):56–63
Section: Space Astronomy
Publication Language: Ukrainian
Some aspects of the methodology of planetary dynamics are discussed. The reference frames for planetary dynamics are considered and the classification of planetary figures is given. Determinations of the parameters of topographic and gravitational figures of the Earth, the Moon and terrestrial planets are summarized and some peculiarities of geometrical and dynamical characteristics of these celestial bodies are considered.
Keywords: gravitational fields, planetary dynamics, terrestrial planets
1. Akim E. L., Bazhinov I. K., Pavlov V. P., Pochukaev V. N. The gravitational field of the Moon and the motion of its artificials satellites, 286 p. (Mashinostroenie, Moscow, 1984) [in Russian].
2. Barsukov V. L., Bazilevskii A. T.,
Kuzmin R. O., et al. Main types of structures of the northern hemisphere of Venus. Astronomicheskii Vestnik, 19 (1), 3—14 (1985) [in Russian].
3. Zazuliak P. M., Zinger V. E., Kisliuk V. S. The representation of lunar topography by a series of spherical functions to the 16th order. Kinematika i Fizika Nebes. Tel, 4 (3), 68—75 (1988) [in Russian].
4. Kisliuk V. S. Ellipsoid of lunar inertia. Kinematika i Fizika Nebes. Tel. 1 (1), 41—48 (1985) [in Russian].
5. Kisliuk V. S. Geometric and dynamic characteristics of the moon, 184 p. (Nauk. Dumka, Kiev, 1988) [in Russian].
6. Mashimov M. M. Planetary Theories to Geodesies [Planetarnye teorii geodezii], 261 p. (Nedra, Moscow, 1982) [in Russian].
7. Medvedev P. P. Methods and results of satellite geodesy, 111 p. (Itogi nauki i tekhniki. Ser. Geodeziya i aerofotos”emka; Vol. 16) (Izd-vo VINITI, Moscow, 1980) [in Russian].
8. Meshcheryakov G. A. On Clairaut's spheroid generalizing the Martian surface. Cartography of the Moon and Mars, 28—34 (Nedra, Moscow, 1978) [in Russian].
9. Meshcheryakov G. A., Tserklevich A. L. Gravitational field, figure and internal structure of Mars, 240 p. (Naukova Dumka, Kiev, 1987) [in Russian].
10. Pellinen L. P., Neiman Yu. M. Physical geodesy, 132 p. (Itogi nauki i tekhniki. Ser. Geodeziya i aerofotos”emka; Vol. 18) (Izd-vo VINITI, Moscow, 1980) [in Russian].
11. Rodionova Zh. F., Dekhtyareva K. I. Hypsometric peculiarities of the moon and terrestrial planets. In: Problems of complex investigation of the moon, 56—71 (Izd-vo Mosk. un-ta, Moscow, 1986) [in Russian].
12. Sagitov M. U. Lunar gravimetry, 432 p. (Nauka, Moscow, 1979) [in Russian].
13. Tserklevich A. L., Zinger V. E., Kamenskii K. K. Comparative analysis of the gravitational and geometrical figures of the terrestrial planets. Kinematika i Fizika Nebes. Tel, 1 (6) 29—36 (1985) [in Russian].
14. Yatskiv Ya. S. Status and trends in the development of astrometric studies. I. Astrometriia i Astrofizika, Is. 49, 3—9 (1983) [in Russian].
15. Balmino G., Moynot B., Vales N. Gravity field model of Mars in spherical harmonics up to degree and order eighteen. J. Geophys. Res., 87B (12), 9735—9746 (1982).
16. Bills B. G., Ferrari A. J. A harmonic analysis of lunar topography. Icarus, 31, 244—259 (1977).
17. Bills B. G., Ferrari A. J. Mars topography harmonics and geophysical implications. J. Geophys. Res., 83B (7), 3497—3508 (1978).
18. Bills B. G., Ferrari A. J. A harmonic analysis of lunar gravity. J. Geophys. Res., 85 (2), 1013—1025 (1980).
19. Bills B. G., Kobrick M. Venus topography: a harmonic analysis. J. Geophys. Res., 90B (1), 827—836 (1985).
20. BIN Annual Report for 1986. (Observ. de Paris, BIN, 1987).
21. Bursa M., Sima Z. Dynamic and figure parameters of Venus and Mars. Adv. Space Res., 5 (8), 43—46 (1985).
22. Davies M., Abalakin V. K., Bursa M., et al. Report of the IAU/IAG/COSPAR working group on cartographic coordinates and rotational elements of the planets and satellites: 1985. Celest. Mech., 39, 103—113 (1986).
23. Davies M., Batson R. M. Surface coordinates and cartography of Mercury. J. Geophys. Res., 80 (17), 2417—2430 (1975).
24. Ferrari A. J. Lunar gravity: a harmonic analysis. J. Geophys. Res., 82, 3065—3084 (1977).
25. Groten E. Establishment of frames of reference in four-dimensional geodesy. Allg. Vermess. Nachr., 89 (2), 62—69 (1982).
26. Harmon J. K., Campbell D. B., Bindschadder D. L., et al. Radar altimetry of Mercury: a preliminary analysis. J. Geophys. Res., 91 (1), 385—401 (1986).
27. Moritz H. Fundamental geodetic constant. Proc. of the IAG XVII Gen. Assamb. IUGG/IAG, 34 p. (Canberra, 1979).
28. Mottinger N. A., Sjogren W. L., Bills B. G. Venus gravity: a harmonic analysis and geophysical implications. J. Geophys. Res., 90, C739—C756 (1985).
29. Rapp R. H. The Earth's gravity field to degree and order 180 using SEASAT altimeter data, terrestrial gravity data and other data. (Rep. Dep. Geod. Sci. Surv. N 322) (The Ohio State University, Ohio, 1981).
30. Rapp R. H. Degree variances of the Earth's potential, topography and its isostatic compensation. Bull. Geod., 56, 84—94 (1982).
31. Rapp R. H., Grus J. V. The representation of the Earth's gravitational potential in a spherical harmonic expansion to degree 250, 1—64. (Rep. Dep. Geod. Sci. Surv. N 372) (The Ohio State University, Ohio, 1986).
32. Sjogren W. L. Planetary geodesy. Proc. Int. Symp. Figure and dynamics of the Earth, Moon and planets, Part I, 43—55 (Prague, 1987).
33. Williams B. G., Mottingen N. A., Panagiotacopulos N. D. Venus gravity field: Pioneer Venus orbiter navigation results. Icarus, 56, 578—589 (1983).