Discussion of Experimental Results 188 Shell-branching Studies Using Other Magnetic Field Models 190 References 196 Chapter 5. Conclusion 199 Appendix 1: Computer Codes 201 References 201 vi I would like to thank Dr. Many I. West, Jr., Principal Investigator for the E6 experiment on the OGO-5 satellite, for providing the energetic particle data which formed the basis of my research. I am truly indebted to him for introducing me to space sciences and allowing me the opportunity to leam magnetospheric physics through participation in his research studies. 1 have greatly benefited from his keen insights into the physical processes underlying the data and his willingness to patiently explain them in numerous amiable and stimulating discussions. I am especially grateful for his contagious scientific enthu siasm, and for his personal interest and persistent encouragement that were so instrumental in motivating my studies. I will always greatly value our association and friendship. I thank Drs. P. J. Coleman and C. T. Russell of UCLA for providing the fluxgate magnetometer data used in this work. I thank Dr. J. R. Walton of LLNL for providing the computer codes which produced the experimental data plots. I thank my chairman Dr. John Killeen for his encouragement of my candidacy and for his efforts to help steer me around the various obstacles encountered along the road to graduation. I am especially grateful for the substantial Educational Aid support provided by the Laboratory, which truly made this work possible.