An inter-satellite relative pose coupling isomorphism integrated dynamic modeling method
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A dynamic modeling, relative pose technology, used in special data processing applications, instruments, electrical digital data processing, etc.
Pending Publication Date: 2019-05-17
SHANGHAI AEROSPACE CONTROL TECH INST
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specific Embodiment approach 1
[0055] Specific implementation method 1: the main star is not controlled, that is, no active control dual force is applied on the main star, and the main star is only affected by the external disturbance force, ignoring the external disturbance force. At this time:
[0056] The dynamic equation of the host star is
[0057]
[0058] in, Indicates the universal gravitational force on the host star, Indicates the gravitational gradient moment on the host star.
specific Embodiment approach 2
[0059] Specific implementation mode 2: different from specific implementation mode 1, this implementation mode does not ignore the external disturbance force, at this time:
[0060] The dynamic equation of the host star is
[0061]
[0062] in, Indicates the universal gravitational force on the host star, Indicates the external interference force received by the main star; Indicates the gravitational gradient moment on the host star, Indicates the external disturbance torque received by the host star.
specific Embodiment approach 3
[0063] Embodiment 3: Different from Embodiment 1 and Embodiment 2, in this embodiment, the main star is controllable, that is, an active control dual force is exerted on the main star. At this time:
[0064] The dynamic equation of the host star is
[0065]
[0066] in, Indicates the control force of the main star, Indicates the universal gravitational force on the main star, Indicates the external disturbance force received by the main star; Indicates the control torque on the main star, represents the gravitational gradient moment on the host star, Indicates the external disturbance torque received by the host star.
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Abstract
The invention discloses an inter-satellite relative pose coupling isomorphism integrated dynamic modeling method for flexible spacecraft formation, relates to a dynamics high-precision modeling methodfor spacecraft formation, in particular to an integrated dynamics modeling method which is used for flexible spacecraft formation, considers the relative pose-structure vibration coupling between formation satellites and is described based on the same mathematical tool. The innovation points of the invention are as follows that firstly, the influence of structural vibration on high-precision formation configuration is considered, and an inter-satellite relative position-relative attitude-structural vibration coupling kinetic model is established; secondly, on the basis of a dual quaternion mathematical tool, relative position motion, relative attitude motion and structural vibration among satellites are unified to be under the same mathematical framework, and an isomorphic integrated dynamic model is obtained.
Description
technical field [0001] The present invention relates to a high-precision dynamics modeling method for spacecraft formations, in particular to an integrated dynamic system described by the same mathematical tool, which is used for flexible spacecraft formations and considers the relative pose-structure vibration coupling between formations. Learn how to model. Background technique [0002] As for spacecraft formation technology, a lot of theoretical research and on-orbit verification have been carried out at home and abroad, such as the Falcon program in the United States and the FDAI program in France. In terms of formation dynamics research, based on the assumption that the reference orbit is a near-circular orbit, Clohessy and Wiltshire established a linear inter-satellite relative position dynamics equation in the Cartesian coordinate system, which is called the C-W equation. For formations whose reference orbits are arbitrary orbits, scholars such as Tschauner and Hempe...
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