Multipole expressions for the gravitational field of some finite bodies;Espressioni multipolari del campo gravitazionale di alcuni corpi finiti

Bollettino di Geodesia e Scienze Affini

Volumn 58, Issue 4, 1999, Pages 353-381

  Tsoulis, Dimitrios ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Circular cylinder; Multipole expressions; Newtonian gravitational field; Rectangular prism

Indexed keywords

EID: 66149186055     PISSN: 00066710     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. M. ABRAMOWITZ, I.A. STEGUN (1964), Handbook of Mathematical Functions. Nat. Bur. Stds. Appl. Math. Series, 55, Washington, DC: US Govt. Printing Office.
2. Y.T. CHEN, A.H. COOK (1993), Gravitational Experiments in the Laboratory. Cambridge University Press.
3. I.S. GRADSHTEYN, I.M. RYZHIK (1965), Table of Integrals, Series and Products. Academic Press, New York and London.
4. E.W. HOBSON (1931), The Theory of Spherical and Ellipsoidal Harmonics. Cambridge University Press; reprint 1955.
5. J.D. JACKSON (1962), Classical Electrodynamics. John Wiley and Sons, New York.
6. G. LEHNER (1996), Elektromagnetische Feldtheorie für Ingenieure und Physiker. Springer, Berlin.
7. J. LENSE (1954), Kugelfunktionen. Akademische Verlagsgesellschaft Geest und Portig K.G., Leipzig.
8. N.A. LOCKERBIE, A.V. VERYASKIN, X. XU (1993), Differential gravitational coupling between cylindrically-symmetric, concentric test masses and an arbitrary gravitational source: relevance to the STEP experiment. Class. Quantum Grav., 10, pp. 2419-2430.
9. W.D. MACMILLAN (1930), Theoretical Mechanics, vol. 2: The Theory of The Potential. McGraw-Hill, New York; reprinted by Dover Publications, New York, 1958.
10. K. MADER (1951), Das Newtonsche Raumpotential prismatischer Körper und seine Ableitungen bis zur dritten Ordnung. Sonderheft 11 der Österreichischen Zeitschrift für Vermessungswesen, Wien.
11. P.M. MORSE, H. FESHBACH (1953), Methods of Theoretical Physics: Part I. McGraw-Hill, New York.
12. A.P. PRUDNIKOV, Y.A. BRYCHKOV, O.I. MARICHEV (1986), Integrals and Series. Gordon and Breach, New York.
13. M.R. SPIEGEL (1968), Mathematical Handbook of Formulas and Tables. McGraw Hill, New York.