Without making recourse to Newton's law of gravitation and starting from the concept of gravitational force, the concepts of active gravitational mass and of passive gravitational mass are introduced. Furthermore it is proved that they can be identified and that in Newton's law of gravitation the linear dependence on masses necessarily follows from the principle of superposition of simultaneous forces and from Newton's third law of dynamics.
Referenze Bibliografiche
[1] ANDRADE J.F.C. (1897) - Leçons de mécanique physique, Paris.
[2] ARMELLINI G. (1937-1942) — I problemi fondamentali della Cosmogonia e la legge di Newton. I-IX, «Atti Accad. Naz. Lincei Rend.», (6), XXVI, pp. 209-215; ecc.
[3] BARBERIS B. e GALLETTO D. (1981) - Osservazioni sulla legge di gravitazione universale, Appendice I a: D. Galletto, «Sui fondamenti della meccanica classica, della teoria newtoniana della gravitazione e della cosmologia newtoniana», in: «Atti del 3° Convegno Nazionale di Relatività Generale e Fisica della Gravitazione, Torino, 18-21 settembre 1978», Accademia delle Scienze, Torino; pp. 143-148.
[4] BERRY M. (1976) - Principles of cosmology and gravitation, Cambridge Univ. Press.
[5] BONDI H. (1957) - Negative Mass in General Relativity, «Rev. Modern Phys.», 29 pp. 423-428.
[6] EULER L. (1736) - Mechanica, sive motus scientia analytice exposita, Pietroburgo.
[7] HERTZ H. (1894) - Die Prinzipien der Mechanik in neuem Zusammenhange dargestellt, Leipzig.
[8] JAMMER M. (1974) — Storia del concetto di massa nella fisica classica e moderna, Feltrinelli, Milano.
[9] KIRCHHOFF G. (1876) - Vorlesungen über Mathematische Physik. Mechanik, Leipzig.
[10] MACH E. (1883) - Die Mechanik in ihrer Entwickelung, historisch-kritisch dargestellt, Leipzig.
[11] MAVRIDÈS S. (1973) - L'Univers relativiste, Masson, Paris.
[12] MOLLER C. (1972) - The Theory of Relativity, 2a ed., Oxford Univ. Press, Delhi.
[13] NOLL W. (1959) - The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics, in: A.A.V.V., «The Axiomatic Method, with Special Reference to Geometry and Physics», North-Holland, Amsterdam; pp. 266-281.
[14] NORTH J.D. (1965) - The Measure of the Universe: A History of Modern Cosmology. Clarendon Press, Oxford.
[15]
REECH F. (
1852) -
Cours de mécanique: d'après la nature généralement flexible et élastique des corps, Paris. |
fulltext EuDML[16] SAINT-VENANT A.-J.-C.B. de (1851) - Principes de mécanique fondés sur la cinématique, Paris.
[17] TRAUTMAN A. (1965) - Foundations and Current Problems of General Relativity, in: «Lectures on General Relativity, Brandeis Summer Institute in Theoretical Physics», Prentice Hall.
[18] TRUESDELL C. (1977) - A First Course in Rational Continuum Mechanics, Vol. I, Academic Press, New York.
Con il contributo del Ministero per i Beni e le Attività Culturali