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SUMMARY:Enhanced terms in the time delay and the direction of light propag
ation. Discussion for some solar system experiments
DTSTART;VALUE=DATE-TIME:20140306T154500Z
DTEND;VALUE=DATE-TIME:20140306T164500Z
DTSTAMP;VALUE=DATE-TIME:20210411T122026Z
UID:indico-event-279@indico.math.cnrs.fr
DESCRIPTION:\n It is generally stated that the determination of the lig
ht travel time up to the order G2 is sufficient for modelling space missio
ns in project --- such as LATOR\, ASTROD\, SAGAS\, ODYSSEY or GAME --- des
igned to reach an accuracy of 10-7 to 5 × 10-9 in measuring the post-Newt
onian parameter γ. However\, this statement has to be re-examined in ligh
t of our recent demonstration that a so-called `enhanced' term of order G3
in the time delay may become comparable to some of the terms of order G2
when the emitter and the receiver are almost on opposite sides of the cent
ral body --- a configuration of crucial importance in experimental gravita
tion.\n This talk yields an overview of the new methods enabling us to
carry out the calculation of the light travel time as a function of the po
sitions of the emitter and the receiver (time transfer function) at any or
der of approximation for a large class of static\, spherically symmetric m
etrics generalizing the Schwarzschild solution. The time transfer function
is explicitly determined up to order G3. The enhanced terms are inferred
from this solution and their significance for some tests of general relati
vity in the solar system is analyzed.\n To finish\, the appearance of e
nhanced terms in the direction of light propagation is discussed.\n\nhttps
://indico.math.cnrs.fr/event/279/
LOCATION:Institut des Hautes Etudes Scientifiques Amphithéâtre Léon Mot
chane
URL:https://indico.math.cnrs.fr/event/279/
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