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The two body dynamics of  an orbiting particle is usually governed by  Newton's laws of  gravity and mechanics.  Here the Kepler problem has been studied with the addition of  the Lorentz force of  magnetism.  For micrometeoroids and small man made debris particles electromagnetic interactions may become important.  The space environment is filled with charged particles,  electrons and ions, that may be deposited on a  1 -  100 microns sized particle.  The orbits of such charged particles  have been modeled in earth orbit, with the dipole magnetic field superposed on the gravity field. An initial study of  this problem has been conducted. Figures  1 illustrates a 600 second time frame of  particles in a 300 kilometer altitude Earth orbit with  a 5.7' inclination.  The solid line is the pure Kepler problem.  The dashed lines are the paths taken by various sized particles with  a single positive charge of 1.6x10-'~ coulombs. The additional  energy required  to deflect these particles from a Kepler orbit comes from the deposition of  charge at the initial stage in the calculation.  From there the energy of  the particle is  conserved since both the gravitational  and magnetic forces are conservative, i.e. $F d r  = 0. The orbit of  1 micron sized particles has been computed and the results  a r e  shown in figures 2 through 5.  The results of  this numerical exercise in magneto-orbital dynamics a r e  rather unexpected, but  appear physically  correct when studied.  The particle was set in a 2000km orbit with a 5.7'  inclination.  Figure 2 displays how the magnetic field torques the orbital plane.  Figure 3 then shows how the orbit is flipped over and shoved toward  the north pole. This is  analogous to the spin orbit interaction in the quantum atom.  He r e  the magnetic moments  of  the Earth's magnetic field and the orbit a r e  parallel. The flip in the orbit is  a result  of  the system's requirement to reach a low

The two body dynamics of an orbiting particle is usually governed by Newton's laws of gravity and mechanics. Here the Kepler problem has been studied with the addition of the Lorentz force of magnetism. For micrometeoroids and small man made debris particles electromagnetic interactions may become important. The space environment is filled with charged particles, electrons and ions, that may be deposited on a 1 - 100 microns sized particle. The orbits of such charged particles have been modeled in earth orbit, with the dipole magnetic field superposed on the gravity field. An initial study of this problem has been conducted. Figures 1 illustrates a 600 second time frame of particles in a 300 kilometer altitude Earth orbit with a 5.7' inclination. The solid line is the pure Kepler problem. The dashed lines are the paths taken by various sized particles with a single positive charge of 1.6x10-'~ coulombs. The additional energy required to deflect these particles from a Kepler orbit comes from the deposition of charge at the initial stage in the calculation. From there the energy of the particle is conserved since both the gravitational and magnetic forces are conservative, i.e. $F d r = 0. The orbit of 1 micron sized particles has been computed and the results a r e shown in figures 2 through 5. The results of this numerical exercise in magneto-orbital dynamics a r e rather unexpected, but appear physically correct when studied. The particle was set in a 2000km orbit with a 5.7' inclination. Figure 2 displays how the magnetic field torques the orbital plane. Figure 3 then shows how the orbit is flipped over and shoved toward the north pole. This is analogous to the spin orbit interaction in the quantum atom. He r e the magnetic moments of the Earth's magnetic field and the orbit a r e parallel. The flip in the orbit is a result of the system's requirement to reach a lower magnetic energy by anti

The two body dynamics of an orbiting particle is usually governed by Newton's laws of gravity and mechanics. Here the Kepler problem has been studied with the addition of the Lorentz force of magnetism. For micrometeoroids and small man made debris particles electromagnetic interactions may become important. The space environment is filled with charged particles, electrons and ions, that may be deposited on a 1 - 100 microns sized particle. The orbits of such charged particles have been modeled in earth orbit, with the dipole magnetic field superposed on the gravity field. An initial study of this problem has been conducted. Figures 1 illustrates a 600 second time frame of particles in a 300 kilometer altitude Earth orbit with a 5.7' inclination. The solid line is the pure Kepler problem. The dashed lines are the paths taken by various sized particles with a single positive charge of 1.6x10-'~ coulombs. The additional energy required to deflect these particles from a Kepler orbit comes from the deposition of charge at the initial stage in the calculation. From there the energy of the particle is conserved since both the gravitational and magnetic forces are conservative, i.e. $F d r = 0. The orbit of 1 micron sized particles has been computed and the results a r e shown in figures 2 through 5. The results of this numerical exercise in magneto-orbital dynamics a r e rather unexpected, but appear physically correct when studied. The particle was set in a 2000km orbit with a 5.7' inclination. Figure 2 displays how the magnetic field torques the orbital plane. Figure 3 then shows how the orbit is flipped over and shoved toward the north pole. This is analogous to the spin orbit interaction in the quantum atom. He r e the magnetic moments of the Earth's magnetic field and the orbit a r e parallel. The flip in the orbit is a result of the system's requirement to reach a lower magnetic energy by antiorienting the magnetic moments. The energy lost by reorienting the magneti

The two body dynamics of an orbiting particle is usually governed by Newton's laws of gravity and mechanics. Here the Kepler problem has been studied with the addition of the Lorentz force of magnetism. For micrometeoroids and small man made debris particles electromagnetic interactions may become important. The space environment is filled with charged particles, electrons and ions, that may be deposited on a 1 - 100 microns sized particle. The orbits of such charged particles have been modeled in earth orbit, with the dipole magnetic field superposed on the gravity field. An initial study of this problem has been conducted. Figures 1 illustrates a 600 second time frame of particles in a 300 kilometer altitude Earth orbit with a 5.7' inclination. The solid line is the pure Kepler problem. The dashed lines are the paths taken by various sized particles with a single positive charge of 1.6x10-'~ coulombs. The additional energy required to deflect these particles from a Kepler orbit comes from the deposition of charge at the initial stage in the calculation. From there the energy of the particle is conserved since both the gravitational and magnetic forces are conservative, i.e. $F d r = 0. The orbit of 1 micron sized particles has been computed and the results a r e shown in figures 2 through 5. The results of this numerical exercise in magneto-orbital dynamics a r e rather unexpected, but appear physically correct when studied. The particle was set in a 2000km orbit with a 5.7' inclination. Figure 2 displays how the magnetic field torques the orbital plane. Figure 3 then shows how the orbit is flipped over and shoved toward the north pole. This is analogous to the spin orbit interaction in the quantum atom. He r e the magnetic moments of the Earth's magnetic field and the orbit a r e parallel. The flip in the orbit is a result of the system's requirement to reach a lower magnetic energy by antiorienting the magnetic moments. The energy lost by

The two body dynamics of an orbiting particle is usually governed by Newton's laws of gravity and mechanics. Here the Kepler problem has been studied with the addition of the Lorentz force of magnetism. For micrometeoroids and small man made debris particles electromagnetic interactions may become important.

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