2. Preliminaries: What we consider
2.1 Relative motion
2.2 Disturbing function
2.3 Double averaging
2.4 Numerical examples

3. The work of Kozai
3.1 Purpose, method, findings
3.2 Equations of motion
3.3 Stationary point
3.4 Disturbing function
3.5 Solution at quadrupole level
3.6 Equi-potential trajectories
3.7 Actual asteroids
3.8 Remarks on future prospects

4. The work of Lidov
4.1 Moiseev's work on CR3BP
4.2 Publications by Lidov
4.3 Lidov's motivation and background
4.4 Basic equations, force components
4.5 Three assumptions
4.6 Averaged equations of motion
4.7 Constants of motion
4.8 The Lidov diagram
4.9 c₂ as a flag of ω-libration
4.10 Newly added issues in Lidov (1963b,c)

5. The work of von Zeipel
5.1 Purpose, method, findings
5.2 Equations of motion of perturbed body
5.3 The Lindstedt series
5.4 Secular equations of motion
5.5 Secular disturbing function: General case
5.6 Secular disturbing function: Inner case
5.6.1 Expansion of R by α
5.6.2 Search for local extremums
5.6.3 When α is not so small
5.7 Secular disturbing function: Outer case
5.7.1 Expansion of R by α'
5.7.2 Search of local extremums
5.7.3 When α' is not so small
5.7.4 Numerical confirmation
5.8 Cases of orbit intersection
5.8.1 Motion of 1P/Halley
5.9 Some other extensions
5.9.1 Secular motion near the e=k' circle
5.9.2 Two or more perturbers

6. Summary and discussion
6.1 Achievements of Kozai's work
6.1.1 Later developments
6.2 Achievements of Lidov's work
6.2.1 Later developments in Russia
6.2.2 c2-like parameter in later work
6.2.3 Citations of Lidov's work
6.2.4 Interrelation to Kozai's work
6.2.5 Choice of terms
6.3 Achievements of von Zeipel's work
6.4 Earlier studies by von Zeipel
6.4.1 von Zeipel (1898)
6.4.2 von Zeipel (1901)
6.5 Consideration on historical examples
6.6 von Zeipel-Lidov-Kozai oscillation

Acknowledgments

References

Appendix

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