where 



6 = ACmK)-"-^^ - 1 



N^ = K (D.34) 



N^ = - ^ [6(l-k)(6k+l)]^/^ (sign x) - I [6k+l+2(niK)^^^] 



Then, g„ and g, given in Equations (115) and (116) can be expressed with n = 3 

 and 4 



g = g^'^ + g^'^ + g^'^ (D.35) 



^n ^n ^n ^n 



where g is Equation (D.15) for n = 3 and Equation (D.17) for n = 4; g is 



n ^2) ^ 



Equation (D.22) when x < and Equation (D.29) when x > 0; and g is Equation 



(D.33). For the details of these derivations, see Reference 15. In this reference, 



there are some errors in signs. 



As in special cases, when m = or K = 0, we can integrate these equations 

 explicitly. 



1. Steady Forward Motion, K = 



Because of K in the numerator, 



„(1) _ (2) _ (3) _ „ 

 §3 - §3 - §3 - ° 



From Equations (D.IO), (D.16), and (D.18), 



m = V (m V +1) 

 ra^ = 

 R, (v) = - mv sign x 



70 



