Calibrating the system dynamics of LISA Pathfinder

Armano, M.; Audley, H.; Baird, J.; Binétruy, P.; Born, M.; Bortoluzzi, D.; Castelli, E.; Cavalleri, A.; Cesarini, A.; Cruise, A. M.; Danzmann, K.; Silva, M. De Deus; Diepholz, I.; Dixon, G. J.; Dolesi, R.; Ferraioli, L.; Ferroni, V.; Fitzsimons, E.; Freschi, M.; Gesa, L.; Gibert, F.; Giardini, Domenico; Giusteri, R.; Grimani, C.; Grzymisch, J.; Harrison, I.; Heinzel, Gerhard; Hewitson, M.; Hollington, D.; Hoyland, D.; Hueller, M.; Inchauspé, H.; Jennrich, O.; Jetzer, Philippe; Karnesis, Nikolaos; Kaune, B.; Korsakova, Natalia; Killow, C. J.; Lobo, J. A.; Lloro, I.; Liu, L.; López-Zaragoza, J. P.; Maarschalkerweerd, R.; Mance, D.; Meshksar, N.; Martín, Vicente; Martin-Polo, L.; Martino, J.; Martín-Porqueras, F.; Mateos, I.; McNamara, P. W.; Mendes, José F. G.; Mendes, L.; Nofrarias, M.; Paczkowski, S.; Perreur-Lloyd, M.; Pivato, P.; Plagnol, E.; Ramos‐Castro, J.; Reiche, J.; Robertson, D. I.; Rivas, F.; Russano, G.; Slutsky, J.; Sopuerta, Carlos F.; Sumner, T. J.; Texier, D.; Thorpe, James; Vetrugno, D.; Vitale, S.; Wanner, Gudrun; Ward, H.; Wass, Peter; Weber, William J.; Wissel, L.; Wittchen, A.; Zweifel, Peter

doi:10.1103/physrevd.97.122002

Cited by 35 publications

(34 citation statements)

References 25 publications

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“…Figure 3 shows the posterior distribution for the gain, with central value and 1σ error 1.0786 AE 0.0095. This is in close agreement with the system identification experiments, where the gain on the equivalent test mass was measured at 1.0748 AE 0.0001 [13]. A good agreement in posterior value is observed as expected, indicating the goodness of the fit, with a larger relative error substantiating the impact of the glitches on the posterior.…”

Section: B Electrostatic Force Gainsupporting

confidence: 90%

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Novel methods to measure the gravitational constant in space

Armano¹,

Audley²,

Baird³

et al. 2019

Phys. Rev. D

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We present two novel methods, tested by LISA Pathfinder, to measure the gravitational constant G for the first time in space. Experiment 1 uses electrostatic suspension forces to measure a change in acceleration of a test mass due to a displaced source mass. Experiment 2 measures a change in relative acceleration between two test masses due to a slowly varying fuel tank mass. Experiment 1 gave a value of G ¼ 6.71 AE 0.42ð×10 −11 Þ m 3 s −2 kg −1 and experiment 2 gave 6.15 AE 0.35ð×10 −11 Þ m 3 s −2 kg −1 , both consistent with each other to 1σ and with the CODATA 2014 recommended value of 6.67408 AE 0.00031ð×10 −11 Þ m 3 s −2 kg −1 to 2σ. We outline several ideas to improve the results for a future experiment, and we suggest that a measurement in space would isolate many terrestrial issues that could be responsible for the inconsistencies between recent measurements.

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Section: B Electrostatic Force Gainsupporting

confidence: 90%

“…For the segments of Δg obs x , 11 measurements were taken across the nominal mission, all using the lowest possible force and torque authorities in the mission (50 pN and 1.5 pNm on TM2, 0 pN and 1 pNm on TM1 [13]). This ensured that no systematic errors were encountered by different levels of cross talk in each measurement run.…”

Section: E Analysis Of Errorsmentioning

confidence: 99%

Novel methods to measure the gravitational constant in space

Armano¹,

Audley²,

Baird³

et al. 2019

Phys. Rev. D

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“…In both cases ω 2 2 is in agreement (1σ) with the values resulting from the system dynamics calibration presented in Ref. [12]. The force authority values in bracket refer to the continuous control.…”

supporting

confidence: 83%

“…where ω 2 2 is the electrostatic force gradient ("stiffness"), coupling TM2 to the SC and g rot ðtÞ is the contribution of the inertial forces acting on the TMs which are described and calculated in Ref. [12]. Differently from the definition of Δg in Ref.…”

mentioning

confidence: 99%

LISA Pathfinder Performance Confirmed in an Open-Loop Configuration: Results from the Free-Fall Actuation Mode

Armano¹,

Audley²,

Baird³

et al. 2019

Phys. Rev. Lett.

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We report on the results of the LISA Pathfinder (LPF) free-fall mode experiment, in which the control force needed to compensate the quasistatic differential force acting on two test masses is applied intermittently as a series of "impulse" forces lasting a few seconds and separated by roughly 350 s periods of true free fall. This represents an alternative to the normal LPF mode of operation in which this balancing force is applied continuously, with the advantage that the acceleration noise during free fall is measured in the absence of the actuation force, thus eliminating associated noise and force calibration errors. The differential acceleration noise measurement presented here with the free-fall mode agrees with noise measured with the continuous actuation scheme, representing an important and independent confirmation Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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“…Nevertheless some relative motion is still present due to the thruster noise. While the main measurement in LPF or in a gravitational wave observatory like LISA are accelerations between the freefalling test masses, motion of the surrounding spacecraft can introduce both measurement errors from cross-talk and dynamical coupling from force gradients [8]. In order to satisfy the expected performance of LPF, the requirement on the control accuracy of the S/C motion along the sensitive axis between 1mHz and 30mHz was 2.5nm/…”

mentioning

confidence: 99%