The first integrals and orbit equation for the Kepler problem with drag
- 1 June 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (8), 1997-2002
- https://doi.org/10.1088/0305-4470/20/8/019
Abstract
First integrals for the classical Kepler problem with drag were obtained by Jezewski and Mittleman (1982). A derivation which is more attractive from an intuitive point of view is provided and this leads naturally to the orbit equations as for the standard Kepler problem.Keywords
This publication has 10 references indexed in Scilit:
- Classes of potentials of time-dependent central force fields which possess first integrals quadratic in the momentaJournal of Mathematical Physics, 1985
- Integrals of motion for the classical two-body problem with dragInternational Journal of Non-Linear Mechanics, 1983
- Time-dependent vector constants of motion, symmetries, and orbit equations for the dynamical system r̈=îr{[Ü(t)/U(t)]r −[μ/U(t)]r−2}Journal of Mathematical Physics, 1983
- A direct approach to finding exact invariants for one-dimensional time-dependent classical HamiltoniansJournal of Mathematical Physics, 1982
- On the polynomial first integrals of certain second-order differential equationsJournal of Mathematical Physics, 1982
- An analytic solution to the classical two-body problem with dragCelestial Mechanics and Dynamical Astronomy, 1982
- Generalizations of Noether’s Theorem in Classical MechanicsSIAM Review, 1981
- Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problemThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981
- A direct construction of first integrals for certain non-linear dynamical systemsInternational Journal of Non-Linear Mechanics, 1980
- Theoretical evaluation of atmospheric drag effects in the motion of an artificial satelliteThe Astronomical Journal, 1961