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Everything about Kepler problem
Special case of the two-body problem
In classical mechanics, the Kepler problem is a special case of the two-body problem, in which the two bodies interact by a central force that varies in strength as the inverse square of the distance between them. The force may be either attractive or repulsive. The problem is to find the position or speed of the two bodies over time given their masses, positions, and velocities. Using classical mechanics, the solution can be expressed as a Kepler orbit using six orbital elements. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Kepler problemA 5-minute orientation
- Skim a recent paper: Variable Step Hybrid Block Method for the Approximation of Kepler ProblemInfluential work since 2022
- Pick up a classic book: Keplerian EllipsesThe most-reprinted book on the subject
- Read the landmark paper: Remarks on the Relativistic Kepler ProblemCited 128 times
- Go sideways: Laplace–Runge–Lenz vectorA closely related topic
- Go sideways: Bertrand's theoremA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Remarks on the Relativistic Kepler Problem
Group theory of the Kepler problem
Coherent states and the Kepler-Coulomb problem
The Kepler Problem and Noncommutativity
On the regularization of the Kepler problem
Quaternions and the perturbed Kepler problem
Geometric quantisation of the MIC-Kepler problem
Perturbed Kepler problem in quaternionic form
🆕 Influential since 2022
Variable Step Hybrid Block Method for the Approximation of Kepler Problem
Darboux Inversions of the Kepler Problem
Generalized perturbed Kepler problem: Gravitational wave imprints from eccentric compact binaries
Fractional diamagnetic Kepler problem and elastic collisions
Relative periodic solutions in spatial Kepler problem with symmetric perturbation
📚 Books worth reading
- 📕Keplerian EllipsesBruce Cameron Reed · 2019
- 📕Forbidden tangential orbit transfers between intersecting Keplerian orbitsRowland E. Burns · 1990
History of ScienceRené Taton · 1964
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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