A hybrid, self-adjusting search algorithm for optimal space trajectory design

Spacecraft trajectory optimization: A review of models, objectives, approaches and solutions

“…Weighted sum method Choosing proper weighting coefficients in this form is a challenging issue and has been tackled in different ways in various researches. For instance, Bolle and Circi [113] tackled this problem by choosing the maximum propagation time allowed in the simulation as the related coefficient for the time cost function and manually tuning the other weighting coefficient (magnitude of the error tolerance permitted during the mission design phase) in order to make both cost functions behave in the same order. As such, extreme care must be taken in properly balancing the relative weights in the cost function.…”

“…It sometimes refers to the approaches. For example, taking advantage of both direct and indirect approach features in solving a trajectory optimization problem in a space mission is sometimes called a hybrid technique [113], [50]. Some examples regarding the hybrid algorithms applied in spacecraft trajectory optimization are provided in Table 11.…”

Trajectory refinement of three-body orbits in the real solar system model

“…In the present context, the first equation is the state space representation of Eqs. ( 8) (x is 6-dimensional); the function h specifies six boundary conditions, which are needed to well-pose the problem (Bolle and Circi, 2012). In multiple shooting, problem ( 11) is solved for a finite set of variables (Mingotti et al, 2012).…”

On the advantages of exploiting the hierarchical structure of astrodynamical models

“…( 10) (x is 6-dimensional) when the proper coefficients b j and potential function Ω are specified according to the selected dynamical model as described in Section 2. The function h specifies six boundary conditions, which are needed to well-pose the problem [4]. In multiple shooting, problem ( 27) is solved for a finite set of variables [23].…”