Design Method of Earth-Moon/Moon-Earth Direct Transfer Orbit Based on Reachable Set Concept
A transfer orbit, direct technology, applied in design optimization/simulation, CAD numerical modeling, etc., can solve problems such as fast mission analysis of moon-to-earth transfer that cannot be directly applied
Active Publication Date: 2021-09-17
TSINGHUA UNIV
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[0004] The present invention provides a design method of the Earth-Moon / Moon-Earth direct transfer orbit based on the concept of reachable set, to solve the problem that none of the existing Earth-Moon round-trip transfer orbit design methods essentially provides the conditions for realizing the Earth-Moon transfer or the Moon-Earth transfer. The transfer conditions cannot be directly applied to the technical problems of lunar-earth transfer and rapid mission analysis of the low-earth orbit to and from the lunar orbit
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[0092] The embodiments of the present invention will be described in detail below with reference to the accompanying drawings, but the present invention can be implemented in many different ways as defined and covered below.
[0093] like figure 1 As shown, the preferred embodiment of the present invention provides a method for designing an Earth-Moon / Moon-Earth direct transfer orbit based on the concept of reachable sets, which includes the following steps:
[0094] Step S1: analyze the relative geometric relationship between the earth's low-orbit parking orbit and the moon, and define the reachable set Θ of the direct transfer between the earth and the moon based on the relative geometric relationship between the two. tl The reachable set Θ of the direct transfer with the moon and the earth te They are:
[0095] Θ tl ={(θ tl ,δ tl )|H tl }, Equation 4,
[0096] Θ te ={(θ te ,δ te )|H te }, Equation 5,
[0097] where θ tl Indicates that the intersection of the ea...
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The present invention discloses a design method of earth-moon / moon-earth direct transfer orbit based on the concept of reachable set. By analyzing the relative geometric relationship between the earth's low-orbit parking orbit and the moon, the method defines the concepts of the earth-moon direct transfer reachable set and the moon-earth direct transfer reachable set. The transfer orbits are numerically solved for the Earth-Moon direct transfer reachable set, and the Moon-Earth direct transfer reachable set is obtained based on the symmetry of the reachable set. The Earth-Moon Direct Transfer Accessibility Set and Moon-Earth Direct Transfer Accessibility Set effectively reveal the geometrical conditions for the realization of the Earth-Moon / Moon-Earth direct transfer, which can be used to quickly analyze the orbital transfer window and transfer orbit characteristics of the Earth-Loop Space Station to and from the Moon's LEO , which can be directly applied to the analysis of lunar exploration missions based on the low-orbit space station of the earth. This method can obtain high-precision Earth-Moon / Moon-Earth direct transfer orbits quickly and efficiently.
Description
technical field [0001] The invention relates to the technical field of aerospace orbit dynamics, in particular, to a design method for Earth-Moon / Moon-Earth direct transfer orbits based on the concept of reachable sets. Background technique [0002] Low Earth orbit space stations, such as the International Space Station and the upcoming Chinese Space Station, as low-Earth orbit resources for manned spaceflight, have played a role in supporting astronauts' long-term in-orbit residency, providing an on-orbit gravity-free scientific experiment environment, and releasing microsatellites. and many other functions. In addition, the low earth orbit space station can also provide on-orbit services such as on-orbit maintenance and refueling for various types of aircraft. Therefore, using the Earth's low-orbit space station as a space port for manned lunar exploration is not only conducive to the reusability of manned spacecraft, but also of great significance for sustainable manned ...
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IPC IPC(8): G06F30/20G06F111/10
Inventor 高永飞王兆魁
Owner TSINGHUA UNIV