Physics
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986tddt.rept.....a&link_type=abstract
Unknown
Physics
Density (Mass/Volume), Halley'S Comet, Lyman Alpha Radiation, Particle Emission, Trajectory Analysis, Hydrogen Atoms, Lambert Surface, Point Sources, Power Series
Scientific paper
Different from the so far known methods of calculating the Lyman alpha intensity of a comet, which were treated in the rest frame of the comet, a new formulation is attempted to well incorporate the differential nature of the force field working on particles in the coma. The formulation is based on the so-called Lambert problem in the theory of orbit determination and carried out in an inertial frame of coordinates centered at the Sun. An expression of the density at an arbitrary point of time and place is derived as an integral over time (or, equivalently, over the trajectory of a moving source). Particularly for the inverse square force field, a term representing the expansion of the flux tube of particles is estimated by using the power series method. An extension of the present result to the non-point-like sources is also attempted. Lastly, relating to the Lyman alpha intensity calculation of Comet Halley, the orbital property of the hydrogen atoms in the coma is examined and behavior of the Lambert solution vector (initial velocity vector of the ejected hydrogen atom) on time is discussed.
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