Guangyu+Li

Gerhard Heinzel 3, Oliver Jennrich 4 LISA is an ESA-NASA mission. It’s primary scientific goal is to detect gravitational waves with wavelength from 0.1 mHz to 1 Hz. Three spacecraft will be launched around 2015, and reach it’s heliocentric orbits. In order to carry out precise laser interferometer measure between the three spacecraft, high requirement for the stability of the LISA constellation was put forward. In this paper we discuss some problems in the optimization of the LISA orbits using both analytical and numerical methods. On the base of plane co-orbit restricted problem we deduced the analytical formula for the variation of the heliocentric distance and trailing angle of the constellation center. And we found that the precision of our first-order approximate analytical solution satisfies the requirements of the spacecraft orbit design. In this paper we also presented two sets of preliminary optimized LISA orbits, whose stabilitities are close to the requirement of LISA mission.
 * Some problems in the optimization of the LISA orbits ** ppt/pdf
 * Guangyu Li 1, ** Zhaohua Yi 1,2, Yan Xia 1,
 * 1. Purple Mountain Observatory, CAS **
 * 2. Nanjing University **
 * 3. Max Planck Institute for Gravitational Physics **
 * 4. European Space Research and Technology Cente r **