THE HYPERBOLIC KEPLER EQUATION (AND THE ELLIPTIC EQUATION REVISITED)

被引:26
作者
Gooding, R. H. [1 ]
Odell, A. W. [1 ]
机构
[1] Royal Aerosp Estab, Farnborough GU14 6TD, Hants, England
关键词
D O I
10.1007/BF01235540
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A procedure is developed that, in two iterations, solves the hyperbolic Kepler's equation in a very efficient manner, and to an accuracy that proves to be always better than 10-20 (relative truncation error). Earlier work on the elliptic equation has been extended by the development of a new procedure that solves to a maximum relative error of 10(-14).
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页码:267 / 282
页数:16
相关论文
共 13 条
[1]  
BERGAM MJ, 1982, J ASTRONAUT SCI, V30, P75
[2]  
BOLTZ FW, 1987, J ASTRONAUT SCI, V35, P347
[3]  
Brown E. W., 1931, MNRAS, V92, P104
[4]   THE SOLUTION OF KEPLER EQUATION .2. [J].
BURKARDT, TM ;
DANBY, JMA .
CELESTIAL MECHANICS, 1983, 31 (03) :317-328
[5]   AN IMPROVED ALGORITHM DUE TO LAGUERRE FOR THE SOLUTION OF KEPLER EQUATION [J].
CONWAY, BA .
CELESTIAL MECHANICS, 1986, 39 (02) :199-211
[6]   THE SOLUTION OF KEPLER EQUATION .3. [J].
DANBY, JMA .
CELESTIAL MECHANICS, 1987, 40 (3-4) :303-312
[7]  
GOODING RH, 1985, 85080 RAE
[8]  
GOODING RH, 1987, 87042 RAE
[9]   A CUBIC APPROXIMATION FOR KEPLER EQUATION [J].
MIKKOLA, S .
CELESTIAL MECHANICS, 1987, 40 (3-4) :329-334
[10]   GENERAL ALGORITHM FOR THE SOLUTION OF KEPLERS EQUATION FOR ELLIPTIC ORBITS [J].
NG, EW .
CELESTIAL MECHANICS, 1979, 20 (03) :243-249