ASTROD-GW:

Wei-Tou Ni 倪维斗National Tsing Hua University

Refs: WTN, ASTROD-GW, IJMPD 25 (2013) 1530006

G. Wang and WTN, Chin. Phys. B (2015) arXiv

A.-M. Wu and WTN, IAA (2015)

WTN, GW detection in space IJMPD 25 (2016) 1530002

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Space Detection Band: LF (100 nHz- 100 mHz) & MF (100 mHz- 10 Hz)

Complete GW Classificationhttp://astrod.wikispaces.com/file/view/GW-classification.pdf

(MPLA 25 [2010] pp. 922-935; arXiv:1003.3899v1 [astro-ph.CO])

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Strain power spectral density (psd) amplitude vs. frequency for various GW detectors and GW sources

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Characteristic strain hc vs. frequency for various GW detectors and sources. [QA: Quasar Astrometry; QAG: Quasar Astrometry Goal; LVC: LIGO-Virgo Constraints; CSDT: Cassini Spacecraft Doppler Tracking; SMBH-GWB: Supermassive Black Hole-GW Background.]

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Normalized GW spectral energy density gw vs. frequency for GW detector sensitivities and GW sources

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Second Generation GW Mission Concepts

• DECIGO

• BBO

• Super-ASTROD

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Strain power spectral density (psd) amplitude vs. frequency for various GW detectors and GW sources. [CSDT: Cassini Spacecraft Doppler Tracking; SMBH-GWB: Supermassive Black Hole-GW Background.]

24-hr Global CampaignarXiv:1509.05446

10^6-10^6 BH-BH@10GpcLast 3 years

10^5-10^5 BH-BH@10GpcLast 3 years

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Massive Black Hole Systems: Massive BH Mergers &

Extreme Mass Ratio Mergers (EMRIs)

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Scientific Goals

1. Massive black holes and their co-evolution with galaxies --both (i) background, and (ii) individual sources with expected rate of 10 to 1000 per year with good angular resolution

2. Extreme mass ratio inspirals (EMRIs) – a few tens to 100 per year

3. Testing relativistic gravity – including testing strong-field gravity, precision probing of Kerr spacetime and measuring/constraining the mass of graviton

4. Dark energy and cosmology – Space GW detectors observing MBHB inspiralsand EMRIs are good probes to determine the luminosity distances. Hence with better precision in angular determination for identification of electromagnetic counterparts,

5. Compact binaries are ideal to probe dark energy and cosmology6. Relic GWs – 6 S/C formation (2 sets of 3 S/C formations) is ideal for this

purpose

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ASTROD-GW Orbit Design

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Orbit Design II

• With equations (4)-(6), the arm lengths are calculated to be

• The fractional arm length variation is within ± (1/2) sin2λ, e.g.±0.76 × 10-4 for λ= 1°. The Doppler velocity (line-of-sight velocity) between two spacecrafts, e.g. S/C II and S/C III is

• From this equation the line-of-sight Doppler velocity is less than (31/2/2) aω sin2λ(1 + O(λ2)).

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1/221/2 2 2

II-I

1/221/2 2 2

III-II

1/221/2 2 2

I-III

| 3 1 / 2 sin sin 60

| 3 1 / 2 sin sin

| 3 1 / 2 sin sin 60

| ,

|

| .

a t

a t

a t

,

V

V

V

–1/2

21/2 2 2 2III-II (3 / 2) sin sind |

2 1 / 2 sin sind

|.a t t

t

V

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Arm length and Arm length difference

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Deployment

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Examples of Time Delay Interferometry TDI

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X and Sagnac TDI

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Unequal-arm Michelson X, Y & Z TDIs and its sum X+Y+Z for new LISA

• 1999 Armstrong, Estabrook, Tinto, X, Y & Z TDIs X+Y+Z for LISA

• Vallisneri 2005 (U, P, E)

• Tinto & Dhurandhar

review 2014

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important issues for further studies in order to realize and sharpen our expectations

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