Acceleration disturbances and requirements for ASTROD I
Sachie Shiomi, Wei-Tou Ni

TL;DR
This paper analyzes the sources of acceleration disturbances in ASTROD I, a space mission designed to test relativistic gravity, and derives disturbance requirements to ensure precise measurements, showing these are less stringent than those for LISA.
Contribution
It provides a preliminary overview of acceleration disturbance sources for ASTROD I and establishes disturbance requirements based on simple control loop models.
Findings
Most disturbance requirements for ASTROD I are less strict than LISA's.
Estimated disturbance magnitudes meet the mission's precision goals.
Preliminary analysis guides design considerations for ASTROD I.
Abstract
ASTRODynamical Space Test of Relativity using Optical Devices I (ASTROD I) mainly aims at testing relativistic gravity and measuring the solar-system parameters with high precision, by carrying out laser ranging between a spacecraft in a solar orbit and ground stations. In order to achieve these goals, the magnitude of the total acceleration disturbance of the proof mass has to be less than 10−13 m s−2 Hz−1/2 at 0.1 m Hz. In this paper, we give a preliminary overview of the sources and magnitude of acceleration disturbances that could arise in the ASTROD I proof mass. Based on the estimates of the acceleration disturbances and by assuming a simple controlloop model, we infer requirements for ASTROD I. Our estimates show that most of the requirements for ASTROD I can be relaxed in comparison with Laser Interferometer Space Antenna (LISA).
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