The invention discloses a
parsing homotopy method for generating a Martian
atmosphere entry phase longitudinal accessible region, and belongs to the field of
deep space exploration. The
parsing homotopy method comprises the following steps that a Martian
atmosphere entry phase longitudinal dynamic model is built; based on the
parsing homotopy method, known auxiliary problems are parsed from an optimum solution, and by constructing homotopy parameters, a maximum flying range is subjected to
continuation; based on the homotopy method, the known auxiliary problems are parsed with the optimum solution, and through constructing the homotopy parameters, a minimum flying range is subjected to
continuation and obtained; based on the parsing homotopy method, the known auxiliary problems are parsedwith the optimum solution, and by constructing the homotopy parameters, a maximum umbrella
opening height is subjected to
continuation and obtained; based on the parsing homotopy method, according tothe maximum flying range, the minimum flying range and the maximum umbrella
opening height which are obtained through continuation, and by constructing the homotopy parameters, the longitudinal accessible region is obtained through continuation. The parsing homotopy method for generating the Martian
atmosphere entry phase longitudinal accessible region can avoid co-state initial value conjecture and
internal point accessibility verification, and thus improves the generating efficiency of the accessible region.