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Quick analysis method for analyzing collision during approaching of objects

A construction method and two-body technology, applied in complex mathematical operations and other directions, can solve problems such as troublesome solutions and complex algorithms, and achieve the effects of simple methods, high calculation efficiency, and no calculation errors.

Inactive Publication Date: 2015-04-29
李怡勇 +1
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  • Claims
  • Application Information

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Problems solved by technology

However, the algorithm is relatively complicated, and the solution is very troublesome, involving a variety of geometric relationship transformations

Method used

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  • Quick analysis method for analyzing collision during approaching of objects
  • Quick analysis method for analyzing collision during approaching of objects
  • Quick analysis method for analyzing collision during approaching of objects

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Embodiment Construction

[0043] The core of the invention is the calculation of the rendezvous moment and the minimum approach distance during the approaching process of objects. The specific embodiment of the present invention is illustrated below

[0044] suppose in t B = 0, the position and velocity vectors of object D and object S in an inertial coordinate system are respectively km, km / s and , , then the relative position vector and relative velocity vector are respectively

[0045]

[0046] In the approach region, the relative velocity vector remains constant, and , there is a minimum approach distance between object D and object S. Using formula (4) to solve the unique time Δ t

[0047]

[0048] Find the rendezvous time t e for

[0049]

[0050] Seek for rendezvous time t e The relative position vector of

[0051]

[0052] but The size of 2km is the minimum approach distance x e . Finally, compare 2km with the given hazard distance dis Comparing the risk o...

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Abstract

The invention belongs to the technical field of collision analysis and application. The invention provides a quick analysis method for analyzing collision according to a relative motion relation when objects approach to one another. The quick analysis method is characterized by building an intersection coordinate system and a vector correlation equation based on an assumption according to quasi linear motion by using a relative vector relation in space motion of two objects, and quickly analyzing minimum approach distance and approach moment between two objects; the contradiction between calculation efficiency and accuracy in numerical calculation is avoided; the complexity and calculation quantity of the conventional analysis method are reduced; the relation between the calculation efficiency and the accuracy are well considered. The quick analysis method has a wide application prospect in nature and human activities of analyzing collision of the celestial objects, early warning collision of satellites, screening dangerous objects, analyzing hit rate of shooting and striking targets and analyzing collision of high-rate particles.

Description

technical field [0001] The invention belongs to the technical field of collision analysis and application, and relates to object motion, space rendezvous, minimum approach distance, collision risk distance, etc. It has broad application prospects in nature and human activities. According to the relative motion relationship when the objects approach, the invention proposes a fast analytical algorithm for collision analysis. This algorithm utilizes the relative vector relationship in the two-body motion in space, constructs the intersecting coordinate system and the vector relationship equation according to the (quasi) linear motion assumption, and quickly analyzes and calculates the minimum approach distance and approach time between the two bodies, which avoids the numerical calculation. The contradiction between computational efficiency and precision also reduces the complexity and computational load of traditional analytical methods. Therefore, the present invention well t...

Claims

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Application Information

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IPC IPC(8): G06F17/10
Inventor 李怡勇李智王卫杰
Owner 李怡勇
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