A new method for solving the hyperbolic Kepler equation
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
Original language | English |
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Pages (from-to) | 432-438 |
Number of pages | 7 |
Journal / Publication | Applied Mathematical Modelling |
Volume | 127 |
Online published | 15 Dec 2023 |
Publication status | Published - Mar 2024 |
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Abstract
This paper proposes a highly efficient method for solving the hyperbolic Kepler equation (HKE). The hyperbolic eccentric anomaly interval is divided into two parts: a finite interval and an infinite interval. For the finite interval, a piecewise Padé approximation is first used to establish an initial approximate solution of the HKE. For the infinite interval, an analytical initial approximate solution of the HKE is constructed. These initial approximations are highly accurate and can be further improved to higher accuracy with only one step of Schröder iteration. The proposed method only requires the evaluation of no more than three transcendental functions. © 2023 Elsevier Inc.
Research Area(s)
- Hyperbolic Kepler equation, Padé approximation, Schröder iteration
Citation Format(s)
A new method for solving the hyperbolic Kepler equation. / Wu, Baisheng; Zhou, Yixin; Lim, C. W. et al.
In: Applied Mathematical Modelling, Vol. 127, 03.2024, p. 432-438.
In: Applied Mathematical Modelling, Vol. 127, 03.2024, p. 432-438.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review