Relativistic analysis of the LISA long range optical links

Chauvineau, Bertrand; Regimbau, T.; Vinet, J.-Y.; Pireaux, S.

doi:10.1103/physrevd.72.122003

Cited by 19 publications

(31 citation statements)

References 13 publications

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“…Thus physically the link measures an inaccurate combination of x SC , the relative displacement between SC and TM1, and the relative displacement x SC2 between SC and TM2. The differential interferometer signal is then o = (1 + δ SC )x SC − x SC2 and the effect of this cross-talk is the addition of an acceleration-like term δ SC (o SC − o nSC ) s 2 + ω 2 2 on the right-hand side of the second line of (5). If the coefficient δ SC has been measured then the following combination of signals [20]:…”

Section: Measurement Of Acceleration Noise and The Separation Of Sc Jmentioning

confidence: 99%

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LISA Pathfinder: the experiment and the route to LISA

Armano¹,

Benedetti²,

Bogenstahl³

et al. 2009

Class. Quantum Grav.

111

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LISA Pathfinder (LPF) is a science and technology demonstrator planned by the European Space Agency in view of the LISA mission. As a scientific payload, the LISA Technology Package on board LPF will be the most precise geodesics explorer flown as of today, both in terms of displacement and acceleration sensitivity. The challenges embodied by LPF make it a unique mission, paving the way towards the space-borne detection of gravitational waves with LISA. This paper summarizes the basics of LPF, and the progress made in preparing its effective implementation in flight. We hereby give an overview of the experiment philosophy and assumptions to carry on the measurement. We report on the mission plan and hardware design advances and on the progress on detailing measurements and operations. Some light will be shed on the related data processing algorithms. In particular, we show how to single out the acceleration noise from the spacecraft motion perturbations, how to account for dynamical deformation parameters distorting the measurement reference and how to decouple the actuation noise via parabolic free flight.

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Section: Measurement Of Acceleration Noise and The Separation Of Sc Jmentioning

confidence: 99%

“…The relative frequency shift between emitter and receiver is [4,5] (1) is time varying. In LISA, for instance, the laser frequency shift oscillates at the frequency of the gravitational wave.…”

Section: Introductionmentioning

confidence: 99%

LISA Pathfinder: the experiment and the route to LISA

Armano¹,

Benedetti²,

Bogenstahl³

et al. 2009

Class. Quantum Grav.

111

View full text Add to dashboard Cite

show abstract

“…Indeed, at zeroth order in 1/c 2 , the nominal 5 million km armlength means 16.7 s of travel time; the flexing amplitude of 48000 km means 0.16 s fluctuation. At half order, the Sagnac and parallax effects amount to 960 km, that is 3 · 10 −3 s. While at first order, the Shapiro contribution, thanks to the supressing effect of LISA configuration, is less than 30 m, that is 10 −7 s, as we computed in [Chauvineau et al (2005)], with the classical orbit model. Now, we have shown that purely relativistic effects in orbits cause a correction up to 3 km in a period, meaning an effect of several milliseconds in the photon flight time at zeroth order in 1/c 2 .…”

Section: Orbit Model Comparisonmentioning

confidence: 68%

“…Hence, the need for LISA TDI simulators. We stress that coherence is needed, in those, between the photon time transfer model [Chauvineau et al (2005)], the orbit model, coordinates and timescales transformations [Pireaux (2007)]. We studied here the second point.…”

Section: Discussionmentioning

confidence: 99%

A relativistic orbit model for the LISA mission to be used in LISA TDI simulators

Pireaux¹,

Chauvineau²

2009

Proc. IAU

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Abstract. The LISA mission is an interferometer, formed by three spacecraft, that aims at the detection of gravitational waves in the [10 −4 , 10 −1 ] Hz frequency band. Present LISA TDI simulators, aimed at validating the novel Time Delay Interferometry method, use a classical Keplerian orbit model at first order in eccentricity in the gravitational field of a spherical nonrotating Sun, without planets. We propose to use the same model but described in the framework of relativistic gravity, and we focus here on quantifying the differences between classical and relativistic orbits for the LISA spacecraft, under the same assumptions.

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“…Both at the emitter and at the receiver, the frequency 1 of the light is measured in their relative rest frame. The difference of these two measurements is given by (Synge 1964;Chauvineau et al 2005):…”

Section: The Basic Element: the Doppler Linkmentioning

confidence: 99%

Space-Time Metrology for the LISA Gravitational Wave Observatory, and Its Demonstration on LISA Pathfinder

Vitale

2009

Space Sci Rev

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The paper describes the key instrumental features of LISA, and discusses its limiting sources of uncertainty. It is shown how the basic element of LISA is a "Doppler link" where the frequency of a laser beam is compared by two far apart, free falling "observers". These observers are two of the six LISA free falling test-masses. Each of the three LISA arms carries two such Doppler links, propagating along opposite directions. It is shown that a link like this acts as a time-delayed, differential accelerometer. Its performance is limited by three main sources of disturbance. Parasitic forces accelerate the test masses relative to their geodetic trajectories. Interferometry measurement noise is interpreted as relative motion of test-masses. Finally, because of intervening optical components fixed to spacecraft, the measurement is also corrupted by the relative acceleration of spacecraft and the test mass. We analyze these sources within a unifying picture, and show that LISA has a large "science margin". Even with a sensitivity substantially poorer of what has been calculated, LISA remains a powerful astrophysics observatory.

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Relativistic analysis of the LISA long range optical links

Cited by 19 publications

References 13 publications

LISA Pathfinder: the experiment and the route to LISA

LISA Pathfinder: the experiment and the route to LISA

A relativistic orbit model for the LISA mission to be used in LISA TDI simulators

Space-Time Metrology for the LISA Gravitational Wave Observatory, and Its Demonstration on LISA Pathfinder

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