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.