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Formation flight design for a LISA-like gravitational wave observatory via Cascade optimization

Formation flight design for a LISA-like gravitational wave observatory via Cascade optimization Abstract Laser Interferometer Space Antenna (LISA) is a project to detect and measure gravitational waves. The project has three spacecraft flying in a formation of near equilateral triangle in a heliocentric orbit trailing Earth. Many sources of perturbations cause the configuration to deviate from the nominal. This paper studies the formation design problem for a LISA-like mission by considering ephemeris-based dynamics. This type of mission is well-known for addressing several strict mission requirements under the realistic dynamics. The problem is formulated as optimizing multiple mission performance indices. It is observed that some indices are correlated with each other, whereas some indices have different sensitivities with respect to the semi-major axis. Therefore, the problem is transformed into a two-step cascade single-objective optimization, in which the optimal solution of the first optimization problem is fed to the second optimization as initial value. In addition, the major perturbing celestial bodies are picked up to make a simplified but accurate enough dynamics to speed up the optimization. Numerical examples verify the analysis and show the effectiveness of the optimization procedure. The influences of mission lifetime and spatial scales on the optimal solutions are also presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Astrodynamics Springer Journals

Formation flight design for a LISA-like gravitational wave observatory via Cascade optimization

Yang, Chihang; Zhang, Hao
Astrodynamics , Volume 3 (2): 17 – Jun 1, 2019
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Publisher
Springer Journals
Copyright
2019 Tsinghua University Press
ISSN
2522-008X
eISSN
2522-0098
DOI
10.1007/s42064-018-0042-9
Publisher site
See Article on Publisher Site

Abstract

Abstract Laser Interferometer Space Antenna (LISA) is a project to detect and measure gravitational waves. The project has three spacecraft flying in a formation of near equilateral triangle in a heliocentric orbit trailing Earth. Many sources of perturbations cause the configuration to deviate from the nominal. This paper studies the formation design problem for a LISA-like mission by considering ephemeris-based dynamics. This type of mission is well-known for addressing several strict mission requirements under the realistic dynamics. The problem is formulated as optimizing multiple mission performance indices. It is observed that some indices are correlated with each other, whereas some indices have different sensitivities with respect to the semi-major axis. Therefore, the problem is transformed into a two-step cascade single-objective optimization, in which the optimal solution of the first optimization problem is fed to the second optimization as initial value. In addition, the major perturbing celestial bodies are picked up to make a simplified but accurate enough dynamics to speed up the optimization. Numerical examples verify the analysis and show the effectiveness of the optimization procedure. The influences of mission lifetime and spatial scales on the optimal solutions are also presented.

Journal

Astrodynamics – Springer Journals

Published: Jun 1, 2019

References

  • Gravitational wave detection by interferometry (ground and space)
    S Rowan, J Hough
  • Danzmann, K. LISA laser interferometer space antenna—a proposal in response to the ESA call for L3 mission concepts. Technical report, ESA, 2017.
    Danzmann, K. LISA laser interferometer space antenna—a proposal in response to the ESA call for L
  • Design of ASTROD-GW orbit
    J R Men, W T Ni, G Wang
  • The Japanese space gravitational wave antenna-DECIGO
    S Kawamura, T Nakamura, M Ando, N Seto, K Tsubono, K Numata, R Takahashi, S Nagano, T Ishikawa, M Musha
  • Descope of the ALIA mission
    X F Gong, Y K Lau, S N Xu, P Amaro-Seoane, S Bai, X Bian, Z J Cao, G R Chen, X Chen, Y W Ding
  • TianQin: a space-borne gravitational wave detector
    J Luo, L S Chen, H Z Duan, Y G Gong, S Hu, J H Ji, Q Liu, J W Mei, V Milyukov, M Sazhin
  • Design of the magnetic diagnostics unit onboard LISA pathfinder
    M Diaz-Aguiló, I Mateos, J Ramos-Castro, A Lobo, E García-Berro
  • Testing modified newtonian dynamics with LISA pathfinder
    C Trenkel, S Kemble, N Bevis, J Magueijo
  • Modeling and performance of contact-free discharge systems for space inertial sensors
    T Ziegler, P Bergner, G Hechenblaikner, N Brandt, W Fichter
  • Gravitational wave detection in space
    W T Ni
  • ESA. The ESA-L3 gravitational wave mission — gravitational observatory advisory team — Final Report. Technical report, ESA, 2016.
    ESA. The ESA-L
  • 19, ESA, 2011
    Jennrich, O., Binétruy, P., Colpi, M., Danzmann, K., Jetzer, P., Lobo, A., Nelemans, G., Schutz, B. F., Stebbins, R., Sumner, T. et al. NGO
  • Fundamentals of the LISA stable flight formation
    S Dhurandhar, K R Nayak, S Koshti, J Y Vinet
  • Optimizing the Earth-LISA ‘rendezvous’
    F De Marchi, G Pucacco, M Bassan
  • dynamics
    Alfriend, K. T., Vadali, S. R., Gurfil, P., How, J., Breger, L. S. Spacecraft formation flying
  • On the minimum flexing of LISA’s arms
    K R Nayak, S Koshti, S V Dhurandhar, J Y Vinet
  • Methods for orbit optimization for the LISA gravitational wave observatory
    G Y Li, Z H Yi, G Heinzel, A Rüdigger, O Jennrich, L Wang, Y Xia, F Zeng, H B Zhao
  • The Co-orbital restricted three-body problem and its application
    Z H Yi, G Y Li, G Heinzel, A Rüdigger, Y J Luo, Y Xia, H B Zhao
  • Autonomous perturbations of LISA orbits
    G Pucacco, M Bassan, M Visco
  • Modulation of LISA free-fall orbits due to the Earth-Moon system
    M Cerdonio, F De Marchi, R De Pietri, P Jetzer, F Marzari, G Mazzolo, A Ortolan, M Sereno
  • Hughes, S. P., Bauer, F. H. Preliminary optimal orbit design for the laser interferometer space antenna (LISA). Technical report, NASA, 2002.
    Hughes, S. P., Bauer, F. H. Preliminary optimal orbit design for the laser interferometer space antenna
  • Optimizing orbits for (e)LISA
    H Halloin
  • A set modified equinoctial orbit elements
    M J H Walker, B Ireland, J Owens
  • Satellite relative motion using differential equinoctial elements
    D W Gim, K T Alfriend
  • LISA orbits
    A Povoleri, S Kemble
  • Attitude and orbit control systems for the LISA pathfinder mission
    L Giulicchi, S F Wu, T Fenal
  • Orbit design for the laser interferometer space antenna (LISA)
    Y Xia, G Y Li, G Heinzel, A Rüdigger, Y J Luo
  • Relative motion between elliptic orbits: generalized boundedness conditions and optimal formationkeeping
    P Gurfil
  • 1707.09127
    Wang, G., Ni, W. T. Numerical simulation of time delay interferometry for new LISA, TAIJI and other LISA-like missions. arXiv
  • LISA satellite formation control
    J J C M Bik, P N A M Visser, O Jennrich
  • An end-to-end trajectory description of the LISA mission
    T H Sweetser
  • LISA propulsion module separation study
    S M Merkowitz, A Ahmad, T T Hyde, T Sweetser, J Ziemer, S Conkey, W Kelly, B Shirgur