in this paper a new guidance technique for ballistic missiles and launch vehicles is proposed. generally the lambert guidance is used to generate missile nominal (correlated) parameters through powered flight to put it in a ballistic flight path. because of uncertainties and undesired factors, the nominal position and velocity obtained by lambert technique need to be followed in actual flight. ...

A procedure for deriving analytic partial derivatives of the Lambert problem is presented. Using the universal, cosine based Lambert formulation; first order partial derivatives of the velocities with respect to the positions and times are developed. Taking advantage of inherent symmetries and intermediate variables, the derivatives are expressed in a computationally efficient form. The added c...

In a turning process modeled using delay differential equations (DDEs), we investigate the stability of the regenerative machine tool chatter problem. An approach using the matrix Lambert W function for the analytical solution to systems of delay differential equations is applied to this problem and compared with the result obtained using a bifurcation analysis. The Lambert W function, known to...

This paper considers the problem of designing the rightmost eigenvalues of linear scalar distributed delay systems using two different but complementary methods: generalized stability charts and matrix Lambert W functions. The generalized stability charts are based on generalized Hopf and fold curves that provide important insight into the problem, but the geometry of the curves may become comp...

Ballistic photon models of radiative transfer in discrete absorbing random media have demonstrated deviations from the Beer–Lambert–Bouguer law of exponential attenuation. A number of theoretical constructs to quantify the deviation from the Beer–Lambert– Bouguer law have appeared in the literature, several of which rely principally on a statistical measure related to the statistics of the abso...

This paper presents a novel and fast solver for the J2-perturbed Lambert problem. The consists of an intelligent initial guess generator combined with differential correction procedure. is deep neural network that trained to correct velocity vector coming from solution unperturbed module takes uses forward shooting procedure further update exactly meet terminal conditions. Eight sample forms ar...

The Lambert W function dates back to Euler’s time and despite offering solutions to many operations management problems it is still relatively unknown. This may be due to the fact that it is only incorporated into specialist mathematical software and is not generally available in common spreadsheet applications. This obscurity is rather unfortunate as it is relatively easy to use when the signi...

We study tensor products of two structures situated, in a sense, between normed spaces and (abstract) operator spaces. We call them Lambert and proto-Lambert spaces and pay more attention to the latter ones. The considered two tensor products lead to essentially different norms in the respective spaces. Moreover, the proto-Lambert tensor product is especially nice for spaces with the maximal pr...