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There is online calculator for the Lambert's Targeting Problem (LTP) to produce launch and arrival v-infinity pork-chop plots between solar system targets

Great efforts have been made on the solidification of phase change nano-capsules (PCNCs). However, the analytical solutions received less attention when its initial temperature is not at the fusion temperature. Therefore, this work aims to analytically study the thermal behavior of PCNC with the same solid-liquid phase density during forced convective cooling when its initial temperature is greater than the fusion temperature. Asymptotic solutions are developed for long- and small-time scale. Asymptic solutions in the limit of large Stefan number to the solid phase temperature and the position...

Sorption thermal energy storage (STES) has the advantage of high energy storage density and low heat loss, which has been considered as one of the promising solutions to achieve carbon neutrality in buildings. An insight into the thermal energy storage performance of reactors enables the optimization of STES systems. In addition, the analytical solution is concise and understandable in physical significance. In the present work, the perturbation theory was introduced to derive the analytical solutions for the fluid and solid temperatures in the reactor during the discharging process. Subsequen...

Analytical solutions play a role in predicting the moisture content of grains in agricultural engineering applications due to their convenience and accuracy. However, most of them ignore evaporation from internal or surface moisture which is not reasonable in real drying. Therefore, this investigation aims to analyse the drying behaviour of a single barley grain analytically. Analytical solutions to the coupled heat and mass transfer equations for spherical particle drying are presented by introducing an auxiliary function through the variable separation approach. Both internal and surface moi...

Abstract Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initialboundary value problem into an appropriate initial value problem on the real line with arbitrary but given functions, whose solution is known. These arbitrary functions are determined by imposing that the solution of the initial value problem satisfies the given boundary conditions. Exact analytical solutions of some moving boundary problems that have not been previously obtained are provided. Moreover, examples o...