Article

Methods for orbit optimization for the LISA gravitational wave observatory

International Journal of Modern Physics D (Impact Factor: 1.03). 01/2008; DOI: 10.1142/S021827180801267X
Source: OAI

ABSTRACT The Laser Interferometer Space Antenna (LISA) mission is a joint ESA-NASA mission for detecting low-frequency gravitational waves in the frequency range from 0.1 mHz to 1 Hz, by using accurate distance measurements with laser interferometry between three spacecraft, which will be launched around 2015 and one year later reach their orbits around the Sun. In order to operate successfully, it is crucial for the constellation of the three spacecraft to have extremely high stability. In this paper, several problems of the orbit optimization of the LISA constellation are discussed by using numerical and analytical methods for satisfying the requirements of accuracy. On the basis of the coorbital restricted problem, analytical expressions of the heliocentric distance and the trailing angle to the Earth of the constellation's barycenter are deduced, with the result that the approximate analytical solution of first order will meet the accuracy requirement of the spacecraft orbit design. It is proved that there is a value of the inclination of the constellation plane that will make the variation of the arm-length a minimum. The principle for selecting the optimum starting elements of orbits at any epoch is proposed. The method and programming principles of finding the optimized orbits are also presented together with examples of the optimization design.

0 Bookmarks
 · 
149 Views
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: We present a general survey of heliocentric LISA orbits, hoping that it might help in the exercise of rescoping the mission. We try to semi-analytically optimize the orbital parameters in order to minimize the disturbances coming from the Earth–LISA interaction. In a set of numerical simulations, we include non-autonomous perturbations and provide an estimate of Doppler shift and breathing as a function of the trailing angle.
    Classical and Quantum Gravity 01/2012; 29(3). · 3.56 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: ASTROD-GW (ASTROD [Astrodynamical Space Test of Relativity Using Optical Devices] Optimized for Gravitation Wave Detection) is an optimization of ASTROD to focus on the goal of detecting gravitational waves. Its detectable wavelength is 52 times that of LISA (Laser Interferometer Space Antenna). In this paper, the mission orbit design of ASTROD-GW together with the optimization methods is presented. The mission orbits of the 3 spacecraft forming a nearly equilateral triangular array are chosen to be near the Sun-Earth Lagrangian points L3, L4 and L5. The arm lengths are about 260 million kilometers. After optimization, the variations of arm length differences are less than 10-4 AU in ten years, and the Doppler velocities of these three spacecraft are less than 4 m/s, both of which meet what required by LISA. Therefore, a number of techniques developed by LISA can be applied to ASTROD-GW.
    Acta Astronomica Sinica. 04/2010;
  • [Show abstract] [Hide abstract]
    ABSTRACT: The ASTROD-GW (ASTROD [Astrodynamical Space Test of Relativity Using Optical Devices] Optimized for Gravitation Wave Detection), the mission of the laser astrodynamical gravitational wave detection, is the scheme of optimality of the gravitational wave detection on which the ASTROD is concentrated. Its spacecraft orbits form a triangular array close to an equilateral triangle in the vicinity of the solar-terrestrial Lagrangian points L3, L4 and L5. The length of the interference arm is about 2.6×108 km and the detectable wavelength of the gravitational wave is 52 times larger than that detected by the LISA (Laser Interferometer Space Antenna). In this article, the design and optimization method of the ASTROD-GW orbit are summarized. After the orbit is optimized, the variation in the arm length difference (which can be called the interference difference in laser interferometry) within 10 years is in the order of magnitude of 10−4AU. The Doppler velocities in the three arm length directions are smaller than 4m/s, and all of them are less than that required by the LISA. Therefore the laser ranging techniques developed by the LISA can be applied to the ASTROD-GW.
    Chinese Astronomy and Astrophysics 01/2010; 34(4):434-446.

Full-text (2 Sources)

Download
12 Downloads
Available from
May 31, 2014