If the body starts with a non-vertical component, so -kv|v| is not equivalent to -k v^2, my observation is false. So, assuming pure vertical motion, you have: v' = -g - k v^2 v' / (g + k v^2) = -1 integral (1/(g + k v^2)) dv = integral (-1) dt = c -t...
1). The relative velocity of the satellites with respect to each other is described by the relativistic velocity-addition formula [39, their eq. 5.2](1)v=2v01+(v02/c2)cos2ωtcosωt, where v0=ωR represents the satellite velocity in the frame of the central massive body, ω...
Axisymmetric free boundary problems. J. Fluid Mech. 341, 269–294 (1997). 35. Han, J. & Tryggvason, G. Secondary breakup of axisymmetric liquid drops. i. acceleration by a constant body force. Phys. Fluids 11, 3650 (1999). 36. Brackbill, J., Kothe, D. B. & Zemach, C. A ...
Large-scale spacecraft in low orbit of 300 km~ 500 km faces the problems of de-orbiting fall around the end of life, and disintegrates during reentering back to the earth because they suffer tremendous aerothermodynamics environment and overloads [1]. The high-temperature thermo-chemical...
A two-dimensional approximation is used; an elastoplastic body model for large deformations is used to describe the tape and support. To take into account the boundary conditions on contacting surfaces, an iterative algorithm related to Neumann–Dirichlet type methods is used in the calculations. ...
1. A falling prevention controlling device comprising: a wheel arranged to rotate and move in a front-back direction, and a main body connected to a rotation axis of the wheel and arranged to swing in a pitch direction and a roll direction above the wheel; the main body comprising: a pit...
Very recently, the system of differential equations governing the three-dimensional falling body problem (TDFBP) has been approximately solved. The previously obtained approximate solution was based on the fact that the Earth’s rotation (ER) is quite sl
Very recently, the system of differential equations governing the three-dimensional falling body problem (TDFBP) has been approximately solved. The previously obtained approximate solution was based on the fact that the Earth’s rotation (ER) is quite sl
In some water-entry problems, a time-varying and deformable cavity may form while the body is immersing into the water (Birkhoff & Zarantonello [37]). To study the influence of initial velocity, the simulated free surface profiles over the UAUV at Ws = 4.0 m/s and 12.0 m/s at each ...