Abstract: We investigate the control of spacecraft formation flying around heliocentric displaced orbits, and propose a control method based on linear active disturbance rejection control (LADRC). First, we derive a nonlinear dynamic model of the spacecraft formation based on the circular restricted three-body problem (CRTBP) model, considering external disturbance. Then, we present a spacecraft formation flying control method based on the estimation of and compensation for disturbance. This control method avoids the problem of excessive dependency on model accuracy, which occurs when controllers are designed according to a locally linearized model or an accurate nonlinear model. Finally, our numerical simulation results show that the proposed method achieves high control accuracy in the presence of system uncertainties, initial injection errors, and perturbations due to the eccentric nature of the Earth's orbit. Furthermore, the precision of the formation control is within 5 millimeters, and satisfies NASA's high accuracy requirement.