Covariant initial value determination method for optimal landing track design

A trajectory design and determination method technology, applied in the field of deep space exploration, can solve problems such as difficult to determine the initial value of the covariate, difficult to determine the boundary value of two points, etc.

Active Publication Date: 2018-06-22
BEIJING INSTITUTE OF TECHNOLOGYGY
View PDF8 Cites 18 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] In order to solve the problem that the initial value of the covariate is difficult to determine and the corresponding tw

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Covariant initial value determination method for optimal landing track design
  • Covariant initial value determination method for optimal landing track design
  • Covariant initial value determination method for optimal landing track design

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0113] Such as figure 1 As shown, taking the design of the optimal landing trajectory of a small celestial body as an example, the method for determining the initial value of the covariates in the design of the optimal landing trajectory in this embodiment, the specific implementation steps are as follows:

[0114] Step 1. Establish the landing dynamic equation of the probe.

[0115] Define the small celestial body fixed coordinate system (x, y, z): the origin o is located at the center of mass of the small celestial body, the z axis coincides with the maximum inertia axis of the small celestial body, that is, the rotation axis, the x and y axes coincide with the minimum and intermediate inertia axes respectively, and x , y, z three axes satisfy the right-hand rule.

[0116] The landing dynamic equation of the probe in the small celestial body fixed coordinate system is:

[0117]

[0118] where r=[x,y,z] T is the position vector of the detector in the small celestial bod...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses a covariant initial value determination method for the optimal landing track design and belongs to the field of deep space exploration. The covariant initial value determination method includes building a small body fixing coordinate system and corresponding detector landing kinetic equations; converting the optimal design problem of the small body landing track into the optimal control problem and the corresponding two-point boundary value problem, and defining the problems as the problem 1; approximating the problem 1, and defining the approximated problem 1 as the problem 2; solving the covariant initial values lambda<r2(t0)> and lambda<v2(t0)> of the problem 2, setting the the covariant initial values lambda<r2(t0)> and lambda<v2(t0)> of the problem 2 as iterative initial values of the covariant initial values lambda<r1(t0)> and lambda<v1(t0)> of the problem 1, determining the iterative initial value of the covariant initial value lambda<m1(t0)> of the problem 1 according to the setting of the iterative initial values, namely lambda<r2(t0)> and lambda<v2(t0)>, of the covariant initial values lambda<r1(t0)> and lambda<v1(t0)> of the problem 1, thereby achieving the iterative initial value setting of the covariant initial values for the optima landing track design. The defect that it is difficult to solve the two-point boundary value problem due to improper initial value setting can be avoided by application of the method.

Description

technical field [0001] The invention relates to a method for designing an optimal landing trajectory, in particular to a method for determining an initial value of a covariate for optimal landing trajectory design, and belongs to the field of deep space exploration. Background technique [0002] Small celestial body detection is an important means for people to understand and study the origin and evolution of the solar system, and it is an important content of deep space exploration activities in the 21st century. Small celestial body landing and sampling return are the main forms of small celestial body detection at present. Among them, descent and landing are the key stages of small celestial body landing and sampling return, and play a decisive role in whether it can reach the preset target area safely and accurately. The optimal landing trajectory design for small celestial bodies needs to make the detector reach the designated landing area safely and accurately, satisf...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G05B13/04
CPCG05B13/042
Inventor 崔平远袁旭朱圣英刘阳徐瑞
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products