Abstract
The almost constant-speed motion of a mass acted upon by a Newtonian attraction and a resisting force is treated. The equation of orbit is derived for a specific type of resistance which covers the familiar case of Danby's drag(=αr −2) whilst the vector invariants are obtained by direct operation on the vector form of the equation of motion.
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References
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Mavraganis, A.G. The almost constant-speed two-body problem with resistance. Celestial Mech Dyn Astr 51, 395–405 (1991). https://doi.org/10.1007/BF00052930
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DOI: https://doi.org/10.1007/BF00052930