Canonical solution of the critical inclination problem taking into account PN-corrections

2005 ◽  
Vol 161 (3) ◽  
pp. 825-841 ◽  
Author(s):  
F.A. Abd El-Salam ◽  
M.K. Ahmed
Keyword(s):  
Critical Inclination ◽  
Canonical Solution ◽  
Inclination Problem

The critical inclination problem with small eccentricity

1983 ◽  
Vol 30 (3) ◽  
pp. 297-308 ◽  
Author(s):  
Alan H. Jupp ◽  
Ali Y. Abdulla
Keyword(s):  
Critical Inclination ◽  
Small Eccentricity ◽  
Inclination Problem

The use of Riemann problems in solving a class of transcendental equations

1973 ◽  
Vol 73 (1) ◽  
pp. 111-118 ◽  
Author(s):  
E. E. Burniston ◽  
C. E. Siewert
Keyword(s):  
Boundary Value Problem ◽  
Closed Form ◽  
Boundary Value ◽  
Explicit Solutions ◽  
Riemann Boundary Value Problem ◽  
Riemann Problems ◽  
Riemann Boundary ◽  
Canonical Solution ◽  
Transcendental Equations ◽  
Explicit Expressions

AbstractA method of finding explicit expressions for the roots of a certain class of transcendental equations is discussed. In particular it is shown by determining a canonical solution of an associated Riemann boundary-value problem that expressions for the roots may be derived in closed form. The explicit solutions to two transcendental equations, tan β = ωβ and β tan β = ω, are discussed in detail, and additional specific results are given.

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