TY - GEN
T1 - Keplerization of motion in any central force field
AU - Martinusi, Vladimir
AU - Gurfil, Pini
PY - 2012
Y1 - 2012
N2 - The paper introduces a unified methodology for the study of bounded motion in central force fields, which serves both for qualitative insights, as well as for the derivation of closed-form vectorial solutions for the equations of motion. The paper offers a full regularization of the equations of motion in a central force field, starting from the polar equations in the plane of motion. A time transformation, as well as a coordinate transformation, are performed together, and the motion is (i) reduced to a Kepler motion in a rotating frame, with respect to a new time variable (ii) regularized further to a harmonic oscillator. In addition, some new results pertaining to the existence of a Laplace-Runge- Lenz vector in a central-force motion are presented.
AB - The paper introduces a unified methodology for the study of bounded motion in central force fields, which serves both for qualitative insights, as well as for the derivation of closed-form vectorial solutions for the equations of motion. The paper offers a full regularization of the equations of motion in a central force field, starting from the polar equations in the plane of motion. A time transformation, as well as a coordinate transformation, are performed together, and the motion is (i) reduced to a Kepler motion in a rotating frame, with respect to a new time variable (ii) regularized further to a harmonic oscillator. In addition, some new results pertaining to the existence of a Laplace-Runge- Lenz vector in a central-force motion are presented.
UR - http://www.scopus.com/inward/record.url?scp=84875258787&partnerID=8YFLogxK
M3 - منشور من مؤتمر
SN - 9780877035879
T3 - Advances in the Astronautical Sciences
SP - 791
EP - 803
BT - 1st IAA Conference on Dynamics and Control of Space Systems 2012 - Advances in the Astronautical Sciences
T2 - 1st International Academy of Astronautics Conference on Dynamics and Control of Space Systems, DyCoSS 2012
Y2 - 19 March 2012 through 21 March 2012
ER -