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Werner, Robert A.

The gravitational potential of a homogeneous polyhedron or don’t cut corners. (English) Zbl 0825.70059

Celest. Mech. Dyn. Astron. 59, No. 3, 253-278 (1994).

Cited in 28 Documents

MSC:

70F15 Celestial mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems
85-08 Computational methods for problems pertaining to astronomy and astrophysics
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References:

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[8] Kreyszig, E.: 1959,Differential Geometry, University of Toronto Press, Toronto. Republished by Dover, New York (1991). · Zbl 0088.13901
[9] MacMillan, W.D.: 1930,The Theory of the Potential, McGraw-Hill, New York. Republished by Dover, New York (1958). · JFM 56.1216.03
[10] Martinec, Z., Pec, K., and Bursa, M.: 1989, ?The Phobos Gravitational Field Modeled on the Basis of its Topography?,Earth, Moon, and Planets 45, 219-235. · doi:10.1007/BF00057745
[11] Okabe, M.: 1979, ?Analytical Expressions for Gravity Anomalies due to Homogeneous Polyhedral Bodies and Translations into Magnetic Anomalies?,Geophysics 44 (4), 730-741. · doi:10.1190/1.1440973
[12] Pohànka, V.: 1988, ?Optimum Expression for Computation of the Gravity Field of a Homogeneous Polyhedral Body?,Geophysical Prospecting 36, 733-751. · doi:10.1111/j.1365-2478.1988.tb02190.x
[13] Simonelli, D.P., Thomas, P.C., Carcich, B.T., and Veverka, J.: 1993, ?The Generation and Use of Numerical Shape Models for Irregular Solar System Objects?,Icarus 103, 49-61. · doi:10.1006/icar.1993.1057
[14] Strakhov, V.N. and Lapina, M.I.: 1990, ?Direct Gravimetric and Magnetometric Problems for Homogeneous Polyhedrons?,Geophysical Journal (UK) 8 (6), 740-756.
[15] Timmer, H.G. and Stern, J.M.: 1980, ?Computation of Global Geometric Properties of Solid Objects?,Computer-Aided Design 12 (6), 301-304. · doi:10.1016/0010-4485(80)90093-7
[16] Turner, R.J.: 1978, ?A Model of Phobos?,Icarus 33, 116-140. · doi:10.1016/0019-1035(78)90028-3
[17] Waldvogel, J.: 1979, ?The Newtonian Potential of Homogeneous Polyhedra?,Journal of Applied Mathematics and Physics (ZAMP) 30, 388-398. · Zbl 0421.70005 · doi:10.1007/BF01601950
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