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Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
Homotopy method hyperbolic Kepler’s equation initial value problem orbit determination
2009/5/12
In this paper, an efficient iterative method of arbitrary integer
order of convergence ≥ 2 has been established for solving the hyperbolic
form of Kepler’s equation. The method is of a dynamic natur...
Homotopy Continuation Method of Arbitrary Order of Convergence for Solving the Hyperbolic Form of Kepler’s Equation
hyperbolic Kepler’s equation initial value problem orbit determination
2010/9/16
In this paper, an efficient iterative method of arbitrary integer order of convergence ≥ 2 has been established for solving the hyperbolic form of Kepler’s equation. The method is of a dynamic nature ...
Casimir Effect for Differential Forms in Real Compact Hyperbolic Spaces
Casimir Effect Differential Forms Real Compact Hyperbolic Spaces
2010/10/18
We calculate the Casimir energy associated with abelian gauge fields in real compact hyperbolic spaces. The cosmological applications of the vacuum energies are briefly considered.