Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris

doi:10.1088/1674-1056/22/4/049501

Abstract Astrodynamical space test of relativity using optical devices optimized for gravitation wave detection (ASTROD-GW) is an optimization of ASTROD to focus on the goal of detection of gravitation waves. The detection sensitivity is shifted 52 times toward larger wavelength compared with that of laser interferometer space antenna (LISA). The mission orbits of the three spacecrafts forming a nearly equilateral triangular array are chosen to be near the Sun-Earth Lagrange points L3, L4, and L5. The three spacecrafts range interferometrically with one another with an arm length of about 260 million kilometers. In order to attain the required sensitivity for ASTROD-GW, laser frequency noise must be suppressed to below the secondary noises such as the optical path noise, acceleration noise, etc. For suppressing laser frequency noise, we need to use time delay interferometry (TDI) to match the two different optical paths (times of travel). Since planets and other solar-system bodies perturb the orbits of ASTROD-GW spacecraft and affect the TDI, we simulate the time delay numerically using CGC 2.7 (here, CGC stands for centre for gravitation and cosmology) ephemeris framework. To conform to the ASTROD-GW planning, we work out a set of 20-year optimized mission orbits of ASTROD-GW spacecraft starting at June 21, 2028, and calculate the differences in optical path in the first and second generation TDIs separately for one-detector case. In our optimized mission orbits of 20 years, changes of arm lengths are less than 0.0003 AU; the relative Doppler velocities are all less than 3 m/s. All the second generation TDI for one-detector case satisfies the ASTROD-GW requirement.

Keywords: orbit optimization ASTROD-GW gravitational wave detector time delay interferometry

Received: 25 May 2012
Revised: 13 September 2012
Accepted manuscript online:

PACS:	95.10.Eg	(Orbit determination and improvement)
	95.55.Ym	(Gravitational radiation detectors; mass spectrometers; and other instrumentation and techniques)
	04.80.Nn	(Gravitational wave detectors and experiments)
	07.60.Ly	(Interferometers)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10778710 and 10875171).

Corresponding Authors: Wang Gang
E-mail: gwanggw@gmail.com

Cite this article:

Wang Gang (王刚), Ni Wei-Tou (倪维斗) Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris 2013 Chin. Phys. B 22 049501

[1]	Ni W T 2010 Mod. Phys. Lett. A 25 922
[2]	Classification of Gravitational Waveshttp://astrod.wikispaces.com/file/view/GW-classification.pdf
[3]	The LIGO Scientific Collaboration, http://www.ligo.caltech.edu/
[4]	The Virgo Collaboration, http://www.virgo.infn.it/
[5]	The GEO600 Team, http://geo600.aei.mpg.de
[6]	TAMA300 Collaboration, http://tamago.mtk.nao.ac.jp/
[7]	The Advanced LIGO Team, http://www.ligo.caltech.edu/advLIGO/
[8]	The Advanced Virgo Team, http://wwwcascina.virgo.infn.it/advirgo/
[9]	KAGRA Large-scale Cryogenic Gravitational Wave Telescope Project, http://gwcenter.icrr.u-tokyo.ac.jp/en/
[10]	Indigo, http://www.gw-indigo.org
[11]	Ni W T 2012 Adv. Space Res. 51 525
[12]	Demorest P, Lazio J and Lommen A, et al. 2009 arXiv: 0902.2968 [astro-ph]
[13]	LISA Study Team 2000 LISA (Laser Interferometer Space Antenna): A Cornerstone Mission for the Observation of Gravitational Waves, ESA System and Technology Study Report ESA-SCI (2000) 11
[14]	Bec-Borsenberger A, Christensen-Dalsgaard J, Cruise M, Di Virgilio A, Gough D, Keiser M, Kosovichev A, Laemmerzahl C, Luo J, Ni W T, Peters A, Samain E, Scherrer P H, Shy J T, Touboul P, Tsubono K, Wu A M Yeh H C 2000 Astrodynamical Space Test of Relativity Using Optical Devices ASTROD--A Proposal Submitted to ESA in Response to Call for Mission Proposals for Two Flexi-Mission F2/F3
[15]	Ni W T 2008 Int. J. Mod. Phys. D 17 921
[16]	Ni W T 2009 Class. Quantum Grav. 26 075021
[17]	Ni W T 2009 ASTROD Optimized for Gravitational-wave Detection: ASTROD-GW -- A Pre-Phase A Study Proposal Submitted to Chinese Academy of Sciences, February 26, 2009
[18]	Ni W T, Men J R and Mei X H, et al. 2009 Proceedings of Sixth Deep Space Exploration Technology Symposium, December 3-6, 2009 Sanya, China, p. 122
[19]	Crowder J and Cornish N J 2005 Phys. Rev. D 72 083005
[20]	Kawamura S, Nakamura T and Ando M, et al. 2006 Class. Quantum Grav. 23 S125
[21]	Kawamura S, Ando M and Seto N, et al. 2011 Class. Quantum Grav. 28 094011
[22]	Ni W T, Shy J T, Tseng S M, Xu X, Yeh H C, Hsu W Y, Liu W L, Tzeng S D, Fridelance P, Samain E and Wu A M 1997 Proceedings of SPIE 3116: Small Spacecraft, Space Environments, and Instrumentation Technologies, p. 105
[23]	Ni W T, Sandford M C W, Veillet C, Wu A M, Fridelance P, Samain E, Spalding G and Xu X 2003 Adv. Space Res. 32 1437
[24]	Armstrong J W, Estabrook F B and Tinto M 1999 Astrophys. J. 527 814
[25]	Tinto M and Dhurandhar S V 2005 Living Rev. Relativity 8 4
[26]	eLISA/NGO Assessment Study Team, ESA/SRE
	[2011]19, http://elisa-ngo.org/
[27]	Dhurandhar S V, Nayak K R and Vinet J Y 2010 Class. Quantum Grav. 27 135013
[28]	Dhurandhar S V, Ni W T and Wang G 2013 Adv. Space Res. 51 198
[29]	Wang G and Ni W T 2012 arXiv: 1204.2125v1 [gr-qc]
[30]	Wang G 2011 Time-delay Interferometry for ASTROD-GW (MS Thesis), (Nanjing: Purple Mountain Observatory) (in Chinese)
[31]	Men J R, Ni W T and Wang G 2009 Proceedings of Sixth Deep Space Exploration Technology Symposium, December 3-6, 2009 Sanya, China, p. 47
[32]	Men J R, Ni W T and Wang G 2009 Acta Astron. Sin. 51 198 (in Chinese)
[33]	Men J R, Ni W T and Wang G 2010 Chin. Astron. Astrophys. 34 434
[34]	Liao A C, Ni W T and Shy J T 2002 Publications of the Yunnan Observatory 3 88
[35]	Liao A C, Ni W T and Shy J T 2002 Int. J. Mod. Phys. D 11 1075
[36]	Dick G J, Strekalov M D and Birnbaum K, et al. 2008 IPN Progress Report 42 175
[37]	Chiou D W and Ni W T 2000 Adv. Space Res. 25 1259
[38]	Chiou D W and Ni W T 2000 arXiv: 0407570 [astro-ph]
[39]	Tang C J and Ni W T 2000 arXiv: 0407606 [astro-ph]
[40]	Tang C J and Ni W T 2002 Publications of the Yunnan Observatory 3 21 (in Chinese)
[41]	Brumberg V A 1991 Essential Relativistic Celestial Mechanics (Bristol: Adam Hilger) p. 175
[42]	Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco: Freeman)
[43]	Yi Z 2002 "Relativistic Celestial Mechanics and Post-Newtonian Equations of Motion", Publications of the Yunnan Observatory 3 9 (in Chinese)
[44]	Ni W T 1997 Gravitational Wave Detection (Tokyo: Universal Academy Press) p. 117
[45]	Wang G and Ni W T 2011 Acta Astron. Sin. 52 427 (in Chinese)
[46]	Wang G and Ni W T 2012 Chin. Astron. Astrophys. 36 211

[1]	Orbit optimization and time delay interferometry for inclined ASTROD-GW formation with half-year precession-period Wang Gang (王刚), Ni Wei-Tou (倪维斗). Chin. Phys. B, 2015, 24(5): 059501.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris

Cite this article:

Online attention