Abstract:
In the framework of the problem of two extended bodies, a new definition of the
passive gravitational mass of an extended spherically symmetric body (the Earth)
is given. If this mass is equal to the inertial mass, the equation of motion of the
center of mass of the extended body becomes the equation of a geodesic of a point in the total gravitational field of the two extended bodies (the Earth and the Sun). It is shown that in general the passive gravitational mass is not equal to the inertial mass, and therefore the center of mass does not move along a geodesic.
Citation:
V. I. Denisov, A. A. Logunov, Yu. V. Chugreev, “Inequality of the passive gravitational mass and the inertial mass of an extended body”, TMF, 66:1 (1986), 3–12; Theoret. and Math. Phys., 66:1 (1986), 1–7
\Bibitem{DenLogChu86}
\by V.~I.~Denisov, A.~A.~Logunov, Yu.~V.~Chugreev
\paper Inequality of the passive gravitational mass and the inertial mass of an~extended body
\jour TMF
\yr 1986
\vol 66
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/tmf4590}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=831414}
\zmath{https://zbmath.org/?q=an:0603.53041}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 66
\issue 1
\pages 1--7
\crossref{https://doi.org/10.1007/BF01028933}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986D593000001}
Linking options:
https://www.mathnet.ru/eng/tmf4590
https://www.mathnet.ru/eng/tmf/v66/i1/p3
This publication is cited in the following 1 articles:
Yu. V. Chugreev, “Ranging of a geostationary satellite and nongeodesic motion of the Earth's center of mass”, Theoret. and Math. Phys., 69:3 (1986), 1193–1202