## Appendix  
\(a_{0}=[-B-m]\), \(a_{1}=\left[\frac{M}{3}+mw_{e}\right]\), \(a_{2}=\left[\frac{M}{2}+mw_{e}+\frac{m^{2}w_{e}}{2}\right]\), \(a_{3}=\left[\frac{M}{2}+mw_{e}\right]\), \(a_{4}=\left[\frac{M}{6}+\frac{mM}{10}+\frac{m^{2}w_{e}}{3}\right]\),  
\(b_{0}=\left[\frac{M}{3}-\frac{mM}{24}+mw_{e}+\frac{m^{2}w_{e}}{6}\right]\),  
\(b_{1}=\left[\frac{M}{3}\left(-1+\frac{m}{8}-3w_{e}-\frac{Mw_{e}}{4}+\frac{m^{ 2}w_{e}}{12}\right)+M^{2}\left(\frac{1}{45}-\frac{m}{240}\right)-mw_{e}\left( 1+\frac{7 mw_{e}}{6}+3w_{e}+\frac{m^{2}w_{e}}{6}\right)-\frac{7m^{2}w_{e}^{2} }{6}\right]\),  
\(b_{2}=\left[\frac{m}{8}+mw_{e}\right]\), \(b_{3}=\left[-\frac{m}{3}+\frac{m^{2}}{45}-mw_{e}+\frac{4 Mw_{e}}{3}-\frac{mMw _{e}}{12}-4 mw_{e}^{2}-m^{2}w_{e}^{2}\right]\), \(b_{4}=\left[mw_{e}^{2}-\frac{Mw_{e}}{3}\right]\),  
\(b_{5}=\left[\frac{M}{3}-\frac{mM}{24}+mw_{e}+\frac{m^{2}w_{e}}{6}\right]\), \(b_{6}=\left[\frac{M}{3}+mw_{e}\right]\), \(b_{7}=\left[-\frac{M}{2}-mw_{e}-\frac{m^{2}w_{e}}{2}\right]\), \(b_{8}=\left[-\frac{M}{2}-mw_{e}+\frac{m^{2}w_{e}}{2}+\frac{3 Mw_{e}}{2}+\frac {5 mMw_{e}}{6}-\frac{m^{2}Mw_{e}}{24}+3 mw_{e}^{2}+3m^{2}w_{e}^{2}+\frac{2m^{3} w_{e}^{2}}{3}\right]\),  
\(b_{10}=\left[\frac{M}{2}+5 mw_{e}+2 Mw_{e}+\frac{5 mMw_{e}}{6}+3m^{2}w_{e}^{2}\right]\), \(b_{11}=\left[\frac{Mw_{e}}{2}+mw_{e}^{2}\right]\), \(b_{12}=\left[-\frac{M}{2}-mw_{e}-\frac{m^{2}w_{e}}{2}\right]\),  
\(b_{13}=\left[\frac{M}{6}+\frac{mM}{12}+\frac{m^{2}w_{e}}{3}\right]\),  
\(b_{14}=\left[-\frac{M}{6}-\frac{mM}{12}-\frac{M^{2}}{18}+\frac{mM^{2}}{144}- \frac{m^{2}w_{e}}{3}-\frac{Mw_{e}}{2}-\frac{7 mMw_{e}}{60}-\frac{m^{2}Mw_{e}}{ 9}-2m^{2}w_{e}^{2}-m^{3}w_{e}^{2}\right]\),  
\(b_{15}=\left[-\frac{M}{6}-\frac{M^{2}}{18}-\frac{2 Mw_{e}}{3}-\frac{7 mMw_{e}}{6 }-2m^{2}w_{e}^{2}\right]\), \(b_{16}=\left[\frac{M}{6}+\frac{mM}{12}+\frac{m^{2}w_{e}}{3}\right]\),  
\(b_{17}=\left[\frac{mM}{24}+\frac{M^{2}}{24}+\frac{5 mMw_{e}}{12}+\frac{5m^{2} Mw_{e}}{24}+\frac{m^{3}w_{e}^{2}}{2}\right]\), \(b_{18}=\left[\frac{M^{2}}{24}+\frac{5 mMw_{e}}{12}\right]\), \(b_{19}=\left[-\frac{M}{10}-\frac{mM}{20}-m^{2}w_{e}\right]\)  
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