Geodesic
The Hamilton-Jacobi Equation for a Charged Particle in a Combined Gravitational and Electromagnetic Field
Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 351-358

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The equation of motion of a charged particle in a combined gravitational and electromagnetic field is cast in the classical Hamilton-Jacobi form and then applied to the special case of a Schwarzschild metric, leading to the well established equation of planetary motion. 
Sen, D. K. The Hamilton-Jacobi Equation for a Charged Particle in a Combined Gravitational and Electromagnetic Field. Canadian mathematical bulletin, Tome 6 (1963) no. 3, pp. 351-358. doi: 10.4153/CMB-1963-029-1
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     title = {The {Hamilton-Jacobi} {Equation} for a {Charged} {Particle} in a {Combined} {Gravitational} and {Electromagnetic} {Field}},
     journal = {Canadian mathematical bulletin},
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     doi = {10.4153/CMB-1963-029-1},
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