Optimizing orbits for TianQin

Ye, Bobing; Zhang, Xuefeng; Zhou, Mingyue; Wang, Yan; Yuan, Huimin; Gu, Defeng; Yanwei, Ding; Zhang, Jinxiu; Mei, Jianwei; Luo, Jun

doi:10.1142/s0218271819501219

Cited by 71 publications

(68 citation statements)

References 26 publications

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“…The new optimization method is divided into two main steps: Step 1. For one-year propagation, one applies the following iteration formulas to offset the initial elements of the three satellites so that the resulting mean elements can be tuned to the desired nominal values [36]. This effectively compensates for longterm linear drifts in the arm-lengths and breathing angles caused by, predominantly, the lunisolar perturbation.…”

Section: Optimization Methodsmentioning

confidence: 99%

“…We simulate the satellite orbits by the open-source, flight-qualified program, General Mission Analysis Tool (GMAT) [39]. As in [36], the force models include a 10 × 10 spherical-harmonic Earth gravity field (JGM-3 [40]), the point-mass gravity field from the Moon, the Sun, and seven solar system planets (the ephemeris DE421 [41]). For the drag-free mission, we assume pure gravity orbits without correction maneuvers and initial errors.…”

Section: Simulation Setupmentioning

confidence: 99%

“…Results compared with particle swarm optimization Particle swarm optimization (PSO) features global stochastic search of optimal solutions by a population of candidates, and has been widely used in computational science [46,47]. For its implementation, we have adopted a similar cost function from [36] and a swarm of 60 particles. Applied at different inclinations along the arc Ω = 210 • , a = 10 5 km, both methods yield consistent results and a similar trend in Fig.…”

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confidence: 99%

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Impact of orbital orientations and radii on TianQin constellation stability

Tan

Zhang

2020

Int. J. Mod. Phys. D

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TianQin is a proposed space-based gravitational-wave observatory mission to be deployed in high circular Earth orbits. The equilateral-triangle constellation, with a nearly fixed orientation, can be distorted primarily under the lunisolar perturbations. To accommodate science payload requirements, one must optimize the orbits to stabilize the configuration in terms of arm-length, relative velocity, and breathing angle variations. In this paper, we present an efficient optimization method and investigate how changing the two main design factors, i.e. the orbital orientation and radius, impacts the constellation stability through single-variable studies. Thereby, one can arrive at the ranges of the orbital parameters that are comparatively more stable, which may assist future refined orbit design.

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Section: Optimization Methodsmentioning

confidence: 99%

Section: Simulation Setupmentioning

confidence: 99%

mentioning

confidence: 99%

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Impact of orbital orientations and radii on TianQin constellation stability

Tan

Zhang

2020

Int. J. Mod. Phys. D

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“…GMAT is an open access software for modeling and optimizing the spacecraft trajectories. Taking into account the gravity of the celestial bodies among the solar system, Ye (2019) and Tan (2020) recently optimized the orbit of TianQin constellation with GMAT. They have found several stable orbits with the radius of 10 5 km.…”

Section: Specifications Of the Spacecraft Orbit Simulator And The Space Plasma Density Modelmentioning

confidence: 99%

Effects of the Space Plasma Density Oscillation on the Interspacecraft Laser Ranging for TianQin Gravitational Wave Observatory

Lu¹,

Zhang³

et al. 2021

JGR Space Physics

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The TianQin space gravitational waves (GW) observatory will contain three geocentric and circularly orbiting spacecraft with an orbital radius of 105 km, to detect the GW in the milli‐hertz frequency band. Each spacecraft pair will establish a 1.7 × 105 km‐long laser interferometer immersed in the solar wind and the magnetospheric plasmas to measure the phase deviations induced by the GW. GW detection requires a high‐precision measurement of the laser phase. The cumulative effects of the long distance and the periodic oscillations of the plasma density may induce an additional phase noise. This study aims to model the plasma induced phase deviation of the interspacecraft laser signals, using a realistic orbit simulator and the Space Weather Modeling Framework model. Preliminary results show that the plasma density oscillation can induce the phase deviations close to 2 × 10−6 rad/Hz1/2 or 0.3 pm/Hz1/2 in the milli‐hertz frequency band and it is within the error budget assigned to the displacement noise of the interferometry. The amplitude spectrum density of phases along three arms become more separated when the orbital plane is parallel to the Sun‐Earth line or during a magnetic storm. Finally, the dependence of the phase deviations on the orbital radius is examined.

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“…The detector's plane formed by three satellites is optimized to detect the continuous GW signals from the candidate ultracompact white-dwarf binary RX J0806.3+1527 (Israel et al 2002). Currently, both science cases (Feng et al 2019;Wang et al 2019;Shi et al 2019;Bao et al 2019;Liu et al 2020;Fan et al 2020;Huang et al 2020) and technological realizations (Luo et al 2020;Ye et al 2019;Tan et al 2020;Yang et al 2020;Su et al 2020;Lu et al 2020) have been under intensive investigations for TQ. A brief summary of TQ's recent progress can be found in Mei et al (2020).…”

Section: Introductionmentioning

confidence: 99%

Analyses of Laser Propagation Noises for TianQin Gravitational Wave Observatory Based on the Global Magnetosphere MHD Simulations

Su,

Wang,

Zhou

et al. 2021

Preprint

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TianQin is a proposed space-borne gravitational wave (GW) observatory composed of three identical satellites orbiting around the geocenter with a radius of 10 5 km. It aims at detecting GWs in the frequency range of 0.1 mHz -1 Hz. The detection of GW relies on the high precision measurement of optical path length at 10 −12 m level. The dispersion of space plasma can lead to the optical path difference (OPD, ∆l) along the propagation of laser beams between any pair of satellites. Here, we study the OPD noises for TianQin. The Space Weather Modeling Framework is used to simulate the interaction between the Earth magnetosphere and solar wind. From the simulations, we extract the magnetic field and plasma parameters on the orbits of TianQin at four relative positions of the satellite constellation in the Earth magnetosphere. We calculate the OPD noise for single link, Michelson combination, and Time-Delay Interferometry (TDI) combinations (α and X). For single link and Michelson interferometer, the maxima of |∆l| are on the order of 1 pm. For the TDI combinations, these can be suppressed to about 0.004 and 0.008 pm for α and X. The OPD noise of the Michelson combination is colored in the concerned frequency range; while the ones for the TDI combinations are approximately white. Furthermore, we calculate the ratio of the equivalent strain of the OPD noise to that of TQ, and find that the OPD noises for the TDI combinations can be neglected in the most sensitive frequency range of f 0.1 Hz.

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Optimizing orbits for TianQin

Cited by 71 publications

References 26 publications

Impact of orbital orientations and radii on TianQin constellation stability

Impact of orbital orientations and radii on TianQin constellation stability

Effects of the Space Plasma Density Oscillation on the Interspacecraft Laser Ranging for TianQin Gravitational Wave Observatory

Analyses of Laser Propagation Noises for TianQin Gravitational Wave Observatory Based on the Global Magnetosphere MHD Simulations

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