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FernándezRañada, Antonio (2012) Parametric invariance and the Pioneer anomaly. Canadian Journal of Physics, 90 (10). pp. 931937. ISSN 00084204

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Official URL: http://dx.doi.org/10.1139/P2012086
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http://www.nrcresearchpress.com  Publisher 
http://digital.csic.es  Organisation 
Abstract
It is usually assumed that the t parameter in the equations of dynamics can be identified with the indication of the pointer of a clock. Things are not so simple, however. In fact, because the equations of motion can be written in terms of t but also in terms of t' = f(t), f being any wellbehaved function, any one of those infinite parametric times t' is as good as the newtonian one to study classical dynamics in hamiltonian form. Here we show that, as a consequence of parametric invariance, one of the foundations of classical dynamics, the relation between the mathematical parametric time t in the equations of dynamics and the physical dynamical time sigma that is measured with a particular clock (which is itself a dynamical system) requires the characterization of the clock that is used to achieve a complete treatment of dynamical systems. These two kinds of time, therefore, must be carefully distinguished. Furthermore, we show that not all the dynamical clocktimes are necessarily equivalent and that the observational fingerprint of this nonequivalence has, curiously, the same form as that of the Pioneer anomaly. This suggests, therefore, that an acceleration to one another of the astronomical and the atomic times, t(astr) and t(atom), can contribute to the total amount of the anomaly.
Item Type:  Article 

Additional Information:  © Canadian Journal of Physics. 
Uncontrolled Keywords:  Outer SolarSystem, Gravitational Origin, Secular Increase, Acceleration, Planets, Clocks, Gravity, Motions, Search, Energy. 
Subjects:  Sciences > Physics > Electricity Sciences > Physics > Electronics 
ID Code:  24878 
Deposited On:  01 Apr 2014 09:42 
Last Modified:  10 Dec 2018 14:58 
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