Background
Allman, Mark C. was born on August 4, 1958 in Rochester, Pennsylvania, United States. Son of Crawford Marcus and Darl Terresa (Hazenstab) Allman.
( Newton's laws of motion and his universal law of gravit...)
Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, the perturbed two-body problem for an oblate planet or for a nonsymmetric rotating planet is considered, as is the effect of drag on a satellite. The two-body problem is regularized, and the nonlinear differential equation is thereby transformed to a linear one by further embedding several of the integrals. Finally, a brief sketch of numerical methods is given, as the perturbation equations must be solved by numerical rather than by analytical methods.
http://www.amazon.com/gp/product/0691044597/?tag=2022091-20
consulting information technology project manager
Allman, Mark C. was born on August 4, 1958 in Rochester, Pennsylvania, United States. Son of Crawford Marcus and Darl Terresa (Hazenstab) Allman.
Bachelor of Business Administration, Robert Morris College, 1980. Master of Science in Physical Science, University Houston Clear Lake, 1991.
Programmer/analyst Transcomm Data Systems, Inc., Pittsburgh, 1980-1981. Independent consultant, 1981-1982. Programmer/analyst, consultant ComTech Systems, Inc., Columbus, Ohio, 1982-1983.
Systems programmer, manager, project leader DataCom, Inc., 1983-1986. Systems engineer Research and Development Discovery Systems, Dublin, 1986-1988. Systems analyst On-Line Computer Library.
Center, 1988-1989; engineer, physicist Rockwell Space Operations Company, Houston, 1989-1995. Senior engineer McDonnell Douglas/Boeing, 1995-1998. Private pilot, since 1997.
Private practice Allman Professional Consultant Inc., since 1998. Director technical GBA Health Network Systems, Warwick, Rhode Island, 2004—2005. President BusinessMsg.com, Walpole, Massachusetts, since 2005.
Member data collection team Allegheny Observatory, University Pittsburgh, 1981-1982. Presenter at professional conferences.
( Newton's laws of motion and his universal law of gravit...)
Member campaign council Republican National Committee, Washington, since 1991, Haw Rang Do Kung-Fu Martial Arts Team, 1991-2001. Member American Association for the Advancement of Science, Institute of Electrical and Electronics Engineers, American Astronomical Society (associate), Project Management Institute, Indiana Computer Consultant Association, Council Foreign Relations, Wu Shu Kung Fu Federation (2d degree black belt).
Married Mary Beth Decker, April 30, 1983 (divorced 1987). Married Janice Kay Hempleman, December 8, 1989.