Structural, thermal, optical and gravitational modelling for LISA

Merkowitz, Stephen M.; Conkey, Shelly; Haile, William B.; Kelly, William R.; Peabody, Hume; Dumont, Philip

doi:10.1088/0264-9381/21/5/032

Cited by 18 publications

(14 citation statements)

References 2 publications

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“…For instance, the LISA introduces complications unknown to ground-based detectors, such as the complex signal and noise transfer functions. The complications block the analytical characterization of the detector [4,5,6,7,8], and in particular, the response of an interferometer becomes complicated for gravitational waves shorter than the arm length of the detector. Only in the low-frequency limit, the response of the LISA detector is very simplified.…”

Section: Introductionmentioning

confidence: 99%

Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer: Geometric properties of antenna patterns and their angular power

Kudoh

Taruya

2005

Phys. Rev. D

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We discuss the sensitivity to anisotropies of stochastic gravitational-wave backgrounds (GWBs) observed via space-based interferometer. In addition to the unresolved galactic binaries as the most promising GWB source of the planned Laser Interferometer Space Antenna (LISA), the extragalactic sources for GWBs might be detected in the future space missions. The anisotropies of the GWBs thus play a crucial role to discriminate various components of the GWBs. We study general features of antenna pattern sensitivity to the anisotropies of GWBs beyond the low-frequency approximation. We show that the sensitivity of space-based interferometer to GWBs is severely restricted by the data combinations and the symmetries of the detector configuration. The spherical harmonic analysis of the antenna pattern functions reveals that the angular power of the detector response increases with frequency and the detectable multipole moments with effective sensitivity h eff ∼ 10 −20 Hz −1/2 may reach ℓ ∼ 8-10 at f ∼ f * = 10 mHz in the case of the single LISA detector. However, the cross correlation of optimal interferometric variables is blind to the monopole (ℓ = 0) intensity anisotropy, and also to the dipole (ℓ = 1) in some case, irrespective of the frequency band. Besides, all the self-correlated signals are shown to be blind to the odd multipole moments (ℓ = odd), independently of the frequency band.

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Section: Introductionmentioning

confidence: 99%

Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer: Geometric properties of antenna patterns and their angular power

Kudoh

Taruya

2005

Phys. Rev. D

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“…The LISA integrated modeling team developed a detailed thermal model that was used to drive the design of LISA [30,31]. In this paper, a LISA thermal model containing 2874 nodes was used.…”

Section: A Laser Interferometer Space Antenna Modelmentioning

confidence: 99%

Projection-Based Reduced-Order Modeling for Spacecraft Thermal Analysis

Qian¹,

Wang²,

Song³

et al. 2015

Journal of Spacecraft and Rockets

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This paper presents a mathematically rigorous, subspace projection-based reduced-order modeling methodology and an integrated framework to automatically generate reduced-order models for spacecraft thermal analysis. Two key steps in the reduced-order modeling procedure are described: first, the acquisition of a full-scale spacecraft model in the ordinary differential equation, and differential algebraic equation, forms to resolve its dynamic thermal behavior; and second, reduced-order modeling to markedly reduce the dimension of the full-scale model. Specifically, proper orthogonal decomposition in conjunction with a discrete empirical interpolation method and trajectory piecewise-linear methods are developed to address the strong nonlinear thermal effects due to coupled conductive and radiative heat transfer in the spacecraft environment. Case studies using NASA-relevant satellite models are undertaken to verify the capability and to assess the computational performance of the reduced-order modeling technique in terms of speedup and error relative to the full-scale model. Reduced-order modeling exhibits excellent agreement in spatiotemporal thermal profiles (less than 0.5% relative error in pertinent timescales) along with salient computational acceleration (up to two orders of magnitude speedup) over the full-scale analysis. These findings establish the feasibility of reduced-order modeling to perform rational and computationally affordable thermal analysis, develop reliable thermal control strategies for spacecraft, and greatly reduce the development cycle times and costs. Nomenclature A = conduction exchange matrices C = thermal capacitance matrix D = scatter matrix of thermal loads Q = heat flux R = radiation exchange matrices T = temperature vector, K t = time, s U = projection space u = independent thermal inputs Subscripts r = quantity in reduced dimension space s = thermal links between the nodes and the isothermal objects t = time-varying quantity

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“…On ground, a measurement of the self-gravity is not feasible to the precision necessary for LISA, verication of the self-gravity relies on analyses. Such analyses on self-gravity and the design of compensation masses has been successfully performed on LISA Pathnder [78,79] and the corresponding analysis tools have been developed for LISA [80,81].…”

Section: Environmental Requirementsmentioning

confidence: 99%

LISA technology and instrumentation

Jennrich

2009

Preprint

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This article reviews the present status of the technology and instrumentation for the joint ESA/NASA gravitational wave detector LISA. It briey describes the measurement principle and the mission architecture including the resulting sensitivity before focussing on a description of the main payload items, such as the interferomtric measurement system, comprising the optical system with the optical bench and the telescope, the laser system, and the phase measurement system; and the disturbance reduction system with the inertial sensor, the charge control system, and the micropropulsion system. The article touches upon the requirements for the dierent subsystems that need to be fullled to obtain the overall sensitivity.

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Structural, thermal, optical and gravitational modelling for LISA

Cited by 18 publications

References 2 publications

Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer: Geometric properties of antenna patterns and their angular power

Probing anisotropies of gravitational-wave backgrounds with a space-based interferometer: Geometric properties of antenna patterns and their angular power

Projection-Based Reduced-Order Modeling for Spacecraft Thermal Analysis

LISA technology and instrumentation

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