planetary perturbation
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scholarly journals Planetary perturbation equations based on relativistic Keplerian motion

1986 ◽  
Vol 114 ◽  
pp. 41-52
Author(s):  
Neil Ashby
Keyword(s):  
Test Particle ◽  
Particle Motion ◽  
Elliptic Functions ◽  
Orbital Elements ◽  
Keplerian Motion ◽  
Jacobian Elliptic Functions ◽  
Planetary Perturbation ◽  
Geodesic Equations ◽  
Bound Test ◽  
Perturbation Equations

Solutions of the geodesic equations for bound test particle motion in a Schwarzschild field are expressed using Jacobian elliptic functions. Keplerian orbital elements are identified and related to a set of canonical constants. Relativistic Lagrange planetary perturbation equations are derived.

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