The effect of a constant velocity of the source on gravitational waves @LISAcommunity

Uploaded July 2022 | Updated September 2026, 1 hour ago

Most astrophysical objects are moving due to an interaction with their environment or the motion of their host system. Gravitational wave sources are no exception. In contrast, most gravitational wave sources are likely moving with velocities of 100s to 1000s km/s since they form in the densest regions of our universe. We show how gravitational waves from a source moving with a constant center-of-mass velocity transform taking into account Doppler-shift, aberration, and polarization rotation. We conclude by showing the effect on the detection for the example of an EMRI.

Authors: Alejandro Torres-Orjuela, Alvin Chua, Pau Amaro-Seoane, Xian Chen
Presenter: Alejandro Torres-Orjuela

The effect of a constant velocity of the source on gravitational waves

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$Thermo-elastic and thermo-optical effects on-board LISA Pathfinder Thermal gradients on board the LISA Pathfinder mission induced effects with a potential impact to perturb the main differential acceleration measurement between both free-falling test masses. Temperature gradients across the housing produced forces through three different effects, namely asymmetric outgassing, radiation pressure and radiometer effect. The latter is related to the residual gas pressure around the test mass and, therefore, allows the estimation of the Brownian noise contribution, one of the limiting noise contributions for a future observatory like LISA. In addition to thermal forces arising due to gradients around the proof mass, thermo-optical and thermo-elastic effects can also contribute to instrument noise. There were two places where such distortion could be critical. First, the optical window, i.e. the interface between the optical bench and the test mass. This optical element the only not bonded on the Zerodur optical bench was clamped in a Titanium ring and therefore was susceptible to mechanical stress or changes in the refractive index due to thermal gradients across the glass. The second location were the struts holding the optical bench inside the thermal shield acting as the main thermal link to the outside (thermally noisier) environment. Temperature changes in these structures induced net displacements or tilts of the bench with direct impact on the interferometer read-out. During the LISA Pathfinder mission we have carried out several experiments by which we characterized and quantified the previous effects. The aim of this presentation is to update the results about the impact of thermo-elastic and thermo-optical effects, that we have obtained by analyzing the experiments, on the main differential acceleration measurement. In the same way we want to give an estimate of the impact of these thermal effects for the LISA mission. Authors: PhD Francisco Rivas (Presenting) Universidad Loyola Andalucía, Sevilla, Spain$

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