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

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

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 49501-049501.doi: 10.1088/1674-1056/22/4/049501

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇

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

王刚^a, 倪维斗^{b c}

a Shenzhen National Climate Observatory, No. 1 Qixiang Rd., Zhuzilin, Futian District, Shenzhen 518040, China;
b Shanghai United Center for Astrophysics (SUCA), Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China;
c Center for Gravitation and Cosmology (CGC), Department of Physics, National Tsing Hua University, Hsinchu, Taiwan, 300, China

收稿日期:2012-05-25 修回日期:2012-09-13 出版日期:2013-03-01 发布日期:2013-03-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10778710 and 10875171).

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

Wang Gang (王刚)^a, Ni Wei-Tou (倪维斗)^{b c}

a Shenzhen National Climate Observatory, No. 1 Qixiang Rd., Zhuzilin, Futian District, Shenzhen 518040, China;
b Shanghai United Center for Astrophysics (SUCA), Shanghai Normal University, 100 Guilin Road, Shanghai 200234, China;
c Center for Gravitation and Cosmology (CGC), Department of Physics, National Tsing Hua University, Hsinchu, Taiwan, 300, China

Received:2012-05-25 Revised:2012-09-13 Online:2013-03-01 Published:2013-03-01
Contact: Wang Gang E-mail:gwanggw@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10778710 and 10875171).

摘要/Abstract

摘要： 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.

关键词: orbit optimization, ASTROD-GW, gravitational wave detector, time delay interferometry

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.

Key words: orbit optimization, ASTROD-GW, gravitational wave detector, time delay interferometry

中图分类号: (Orbit determination and improvement)

95.10.Eg

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)

王刚, 倪维斗. Orbit optimization for ASTROD-GW and its time delay interferometry with two arms using CGC ephemeris[J]. Chin. Phys. B, 2013, 22(4): 49501-049501.

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[J]. Chin. Phys. B, 2013, 22(4): 49501-049501.

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

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

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