Month-earth three-pulse return orbit speed increment analysis method

Abstract

The invention discloses a moon-earth three-pulse return orbit speed increment analysis method, which comprises the following steps: A, obtaining a normal unit vector h1 of a lunar orbit plane, a normal unit vector h2 of a lunar escape orbit plane and positions rA, rB and rC for applying three pulses by taking a moon center as an original point; B, obtaining a conical surface S1 with the lunar escape orbit aiming v infinity out as the axis, wherein the half cone angle of the conical surface S1 is eta; C, enabling the plane where v infinity out and h1 are located to serve as the datum plane, setting the rotating angle sigma of rC around the straight line where v infinity out is located, and determining rC and a lunar escape orbit plane; D, obtaining a conical surface S2 with the straight line where rC is located as the axis, wherein the half cone angle of the conical surface S2 is alpha; E, obtaining the included angle beta between h1 and v infinity out and the different-plane differencexi between the lunar orbit and the lunar escape orbit; F, solving the sizes delta v1, delta v2 and delta v3 of the three pulses; G, solving a total speed increment delta v; and H, changing the independent variable influencing the delta v to obtain a change rule of the delta v. According to the method, the spatial geometrical relationship is utilized, and preliminary approximate analysis can be rapidly, effectively, visually and simply carried out on the speed increment required by the three-pulse maneuvering process.

Description

technical field [0001] The invention belongs to the field of analysis and analysis of lunar-earth return orbit characteristics, and in particular relates to a method for analyzing the velocity increment of lunar-earth three-pulse return orbit. Background technique [0002] The moon is the first choice for humans to explore the mysteries of space, and it is also the most suitable transit station for humans to enter deep space to expand their living space. Therefore, humans are constantly working hard to explore various ways to land on the moon. With the complete success of the Chang'e-4 mission, more and more people hope that China's manned moon landing dream can be realized as soon as possible. [0003] At the beginning of the 21st century, the "Constellation" plan announced by the United States specified the mission goals of full lunar surface arrival and return at any time. The time to return is to ensure the safety of the astronauts. [0004] There are two main types of...

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Problems solved by technology

[0011] The purpose of the present invention is to provide a method for analyzing the orbital velocity increment of the lunar-earth three-pulse return orbit, aiming at the shortcomings of complex and slow solution when analyzing the orbital velocity increment of the lunar-earth three-pulse return in the prior art, using the spatial geometric relationship, It can quickly, effectively, intuitively and concisely conduct a preliminary approximate analysis of the speed increment required for the three-pulse maneuvering process

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