The Time Transfer Functions: an efficient tool to compute range, Doppler and astrometric observables

Hees, A; Bertone, Stefano; Le Poncin-Lafitte, C; Teyssandier, P (June 2015). The Time Transfer Functions: an efficient tool to compute range, Doppler and astrometric observables. In: Journées de la SF2A 2015. Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics (pp. 133-139). Société Francaise d’Astronomie et d’Astrophysique (SF2A)

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Determining range, Doppler and astrometric observables is of crucial interest for modelling and analyzing space observations. We recall how these observables can be computed when the travel time of a light ray is known as a function of the positions of the emitter and the receiver for a given instant of reception (or emission). For a long time, such a function--called a reception (or emission) time transfer function--has been almost exclusively calculated by integrating the null geodesic equations describing the light rays. However, other methods avoiding such an integration have been considerably developped in the last twelve years. We give a survey of the analytical results obtained with these new methods up to the third order in the gravitational constant G for a mass monopole. We briefly discuss the case of quasi-conjunctions, where higher-order enhanced terms must be taken into account for correctly calculating the effects. We summarize the results obtained at the first order in G when the multipole structure and the motion of an axisymmetric body is taken into account. We present some applications to on-going or future missions like Gaia and Juno. We give a short review of the recent works devoted to the numerical estimates of the time transfer functions and their derivatives.

Item Type:

Conference or Workshop Item (Paper)

Division/Institute:

08 Faculty of Science > Institute of Astronomy

UniBE Contributor:

Bertone, Stefano

Subjects:

500 Science > 520 Astronomy

Series:

Proceedings of the Annual meeting of the French Society of Astronomy and Astrophysics

Publisher:

Société Francaise d’Astronomie et d’Astrophysique (SF2A)

Language:

English

Submitter:

Pierre Fridez

Date Deposited:

20 Jun 2018 11:30

Last Modified:

21 Jun 2018 12:56

Additional Information:

Presentation

Uncontrolled Keywords:

subject, verb, noun, apostrophe

BORIS DOI:

10.7892/boris.99172

URI:

https://boris.unibe.ch/id/eprint/99172

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