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Method of lorentz force multi-star formation configuration based on quasi-periodic orbit

A technology of Lorentz force and periodic orbit, applied in the field of aerospace

Active Publication Date: 2019-01-18
BEIJING INSTITUTE OF TECHNOLOGYGY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0006] The technical problem to be solved by the Lorentz force multi-satellite formation configuration method based on quasi-periodic orbit disclosed by the present invention is: based on inter-satellite Lorentz force, multiple charged slave stars can move in quasi-periodic orbit around the main star , so as to use the invariant curve of the quasi-periodic orbit under the stroboscopic mapping to realize the multi-satellite Lorentz force natural formation configuration without propellant consumption, so that there is no risk of collision between satellites in the natural formation configuration, and the formation The configuration will not diverge, and the charged slave star will always remain on the same constant curve, and no additional fuel is required to maintain it

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  • Method of lorentz force multi-star formation configuration based on quasi-periodic orbit

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Embodiment 1

[0069] A Lorentz force multi-star formation configuration design method based on a quasi-periodic orbit disclosed in this embodiment, the specific steps are as follows:

[0070] Step 1: Establish the motion equation of the charged slave star under the artificial magnetic field of the master star. The master star is running on the high orbit of the earth, and the Lorentz force required for the movement of the charged slave star is generated by the spin artificial magnetic field on the master star. The motion equation of the charged slave star in the local horizontal local vertical coordinate system with the master star as the origin is expressed as ,

[0071]

[0072] in, is the charge-to-mass ratio of the charged slave star, v r is the velocity of the charged slave star relative to the master star, ω c is the angular velocity of the spin magnetic field on the host star, and B is the strength of the artificial magnetic field.

[0073] Equation (1) is dimensionless and s...

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Abstract

The invention discloses a method of lorentz force multi-star formation configuration based on a quasi-periodic orbit, and belongs to the field of aerospace. According to the method of lorentz force multi-star formation configuration based on the quasi-periodic orbit, the implementation method includes the steps that motion equations of charged slave stars under an artificial magnetic field of a host star are established, the motion equations are subjected to dimensionless simplification treatment, an equilibrium point of the dimensionless motion equations is determined, periodic orbits near the equilibrium point are obtained by using a differential correction method and a numerical continuation method, the quasi-periodic orbit on the central manifolds of the periodic orbits is calculated,and by deploying a plurality of charged satellites on invariant curves under stroboscopic mapping of the quasi-periodic orbit, lorentz force multi-star formation configuration without working medium consumption is realized. According to the method of lorentz force multi-star formation configuration based on the quasi-periodic orbit, chemical fuel is not required to be consumed, chemical pollutionis avoided, and application prospects are achieved in close distance space formation, in-orbit operation and long time space observation tasks. The method of lorentz force multi-star formation configuration based on the quasi-periodic orbitis is suitable for the charged satellites to conduct close distance formation around a spacecraft with a self-spinned magnetic field on an earth high orbit.

Description

technical field [0001] The invention relates to the aerospace field, in particular to a Lorentz force multi-satellite formation configuration method based on a pseudo-periodic orbit, which is suitable for short-distance formation of charged satellites around spacecraft with spin magnetic fields on high earth orbits. Background technique [0002] When a charged spacecraft moves in a magnetic field, it will be affected by the Lorentz force, which is perpendicular to the instantaneous velocity of the spacecraft and the direction of the magnetic field. The artificial magnetic field is deployed on the satellite in the high orbit of the earth, that is, the master star, then the nearby charged satellite, that is, the charged slave star, will be subjected to the Lorentz force generated by the magnetic field on the master star, and the charged slave star will be under the gravitational force of the earth and the Lorentz force. Under the joint action of the Lorentz force, it can form ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05D1/10
CPCG05D1/104
Inventor 程潏乔栋李翔宇贾飞达
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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