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Thrust continuation of time-optimal orbital transfers with soft terminal conditions
Time-optimal orbital transfers with soft terminal conditions are studied in this work. First, a two-layer thrust continuation method is devised. The...
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Low-energy Earth–Moon transfers via Theory of Functional Connections and homotopy
Numerous missions leverage the weak stability boundary in the Earth–Moon–Sun system to achieve a safe and cost-effective access to the lunar...
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Correlation functions of scalar field theories from homotopy algebras
We present expressions for correlation functions of scalar field theories in perturbation theory using quantum A ∞ algebras. Our expressions are...
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A homotopy approach connecting time-optimal with fuel-optimal trajectories
This paper describes a novel homotopy method to compute fuel-optimal trajectories starting from a time-optimal solution. The time-optimal problem is...
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Uniformization and Constructive Analytic Continuation of Taylor Series
We analyze the problem of global reconstruction of functions as accurately as possible, based on partial information in the form of a truncated power...
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Landau discriminants
Scattering amplitudes in quantum field theories have intricate analytic properties as functions of the energies and momenta of the scattered...
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Low-Thrust Trajectory Optimization in Kustaanheimo–Stiefel Variables
AbstractThe regularization of spacecraft motion equations by the Kustaanheimo–Stiefel transformation for coordinates and Sundman’s transformation for...
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Constraints on sequential discontinuities from the geometry of on-shell spaces
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints...
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Nonlinear Forced Vibration of an Axially Functionally Graded Beam Under Combined Effects of an Electromagnetic Actuator and Mechanical Impact
The present paper deals with the nonlinear forced vibration of an axially functionally graded beam (FGB) subjected to a mechanical impact and an...
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Generation of Artificial Halo Orbits in Near-Moon Space Using Low-Thrust Engines
AbstractThis study is devoted to the possibility of creating artificial halo orbits in the circular restricted three-body problem of the Earth–Moon...
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Kuznetsov–Ma breather-like solutions in the Salerno model
The Salerno model is a discrete variant of the celebrated nonlinear Schrödinger (NLS) equation interpolating between the discrete NLS (DNLS) equation...
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Optimization of a Low-Thrust Heliocentric Trajectory between the Collinear Libration Points of Different Planets
AbstractThe aim of this study is to optimize a low-thrust interplanetary trajectory using collinear libration points L 1 and L 2 as the junction...
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Schwinger, ltd: loop-tree duality in the parametric representation
We derive a variant of the loop-tree duality for Feynman integrals in the Schwinger parametric representation. This is achieved by decomposing the...
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Metaplectic representation and ordering (in)dependence in Vasiliev’s higher spin gravity
We investigate the formulation of Vasiliev’s four-dimensional higher-spin gravity in operator form, without making reference to one specific...
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On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry
We concentrate on a treatment of a Higgs-Coulomb duality as an absence of manifest phase transition between ordered and disordered phases of 2d
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Minimum-Thrust Transfers to the Moon
AbstractThis paper considers the problem of optimizing low-thrust transfers to lunar orbits, to the libration points of the Earth–Moon system, and to...
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Deep Learning Gauss–Manin Connections
The Gauss–Manin connection of a family of hypersurfaces governs the change of the period matrix along the family. This connection can be complicated...
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A study of periodic orbits near Europa
Periodic orbits and their invariant manifolds are known to be useful for transportation in space, but a large portion of the related research goes...
