Light propagation in the field of a moving axisymmetric body: Theory and applications to the Juno mission

Hees, S.; Bertone, Stefano; Le Poncin-Lafitte, C. (2014). Light propagation in the field of a moving axisymmetric body: Theory and applications to the Juno mission. Physical review. D - particles, fields, gravitation, and cosmology, 90(8) American Physical Society 10.1103/PhysRevD.90.084020

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Given the extreme accuracy of modern space science, a precise relativistic modeling of observations is required. We use the Time Transfer Functions formalism to study light propagation in the field of uniformly moving axisymmetric bodies, which extends the field of application of previous works. We first present a space-time metric adapted to describe the geometry of an ensemble of uniformly moving bodies. Then, we show that the expression of the Time Transfer Functions in the field of a uniformly moving body can be easily derived from its well-known expression in a stationary field by using a change of variables. We also give a general expression of the Time Transfer Function in the case of an ensemble of arbitrarily moving point masses. This result is given in the form of an integral easily computable numerically. We also provide the derivatives of the Time Transfer Function in this case, which are mandatory to compute Doppler and astrometric observables. We particularize our results in the case of moving axisymmetric bodies. Finally, we apply our results to study the different relativistic contributions to the range and Doppler tracking for the JUNO mission in the Jovian system.

Item Type:

Journal Article (Original Article)


08 Faculty of Science > Institute of Astronomy

UniBE Contributor:

Bertone, Stefano


500 Science > 520 Astronomy




American Physical Society




Pierre Fridez

Date Deposited:

20 Jun 2018 13:43

Last Modified:

24 Oct 2019 20:09

Publisher DOI:


Uncontrolled Keywords:

Fundamental problems and general formalism, Approximation methods, equations of motion, Experimental studies of gravity




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