Keplerian motion on a carousel: a research teaching project

2019 ◽  
Vol 30 (5-6) ◽  
pp. 973-978 ◽  
Author(s):  
Gerardo Iovane ◽  
Elmo Benedetto
Keyword(s):  
Keplerian Motion

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.

Euler solution of a kinematic equation for nearly-parabolic Keplerian motion

2013 ◽  
Vol 47 (5) ◽  
pp. 403-407
Author(s):  
T. N. Sannikova ◽  
L. N. Sudov ◽  
K. V. Kholshevnikov
Keyword(s):  
Keplerian Motion ◽  
Kinematic Equation ◽  
Euler Solution

Expansion of the principal functions of Keplerian motion using complex variables

2016 ◽  
Vol 42 (4) ◽  
pp. 268-275 ◽  
Author(s):  
D. V. Mikryukov ◽  
K. V. Kholshevnikov
Keyword(s):  
Complex Variables ◽  
Keplerian Motion
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