Abraham, R., Marsden, J.: Foundations of Mechanics, 2nd edn. Addison-Wesley, Reading (1978)
Adams, F., Anderson, K., Bloch, A.: Evolution of planetary systems with time-dependent stellar mass-loss. Month. Not. R. Astronom. Soc. 432, 438–454 (2013)
Alvermann, A., Fehske, H.: High-order commutator-free exponential time-propagation of driven quantum systems. J. Comput. Phys. 230, 5930–5956 (2011)
[+]
Abraham, R., Marsden, J.: Foundations of Mechanics, 2nd edn. Addison-Wesley, Reading (1978)
Adams, F., Anderson, K., Bloch, A.: Evolution of planetary systems with time-dependent stellar mass-loss. Month. Not. R. Astronom. Soc. 432, 438–454 (2013)
Alvermann, A., Fehske, H.: High-order commutator-free exponential time-propagation of driven quantum systems. J. Comput. Phys. 230, 5930–5956 (2011)
Arnold, V.: Mathematical Methods of Classical Mechanics, 2nd edn. Springer, Berlin (1989)
Blanes, S.: Time-average on the numerical integration of non-autonomous differential equations. SIAM J. Numer. Anal. 56, 2513–2536 (2018)
Blanes, S., Casas, F.: A Concise Introduction to Geometric Numerical Integration. CRC Press, Boca Raton (2016)
Blanes, S., Casas, F., Ros, J.: Processing symplectic methods for near-integrable Hamiltonian systems. Celest. Mech. Dyn. Astron. 77, 17–35 (2000)
Blanes, S., Casas, F., Oteo, J., Ros, J.: The Magnus expansion and some of its applications. Phys. Rep. 470, 151–238 (2009)
Blanes, S., Casas, F., Thalhammer, M.: High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations. Comput. Phys. Commun. 220, 243–262 (2017)
Blanes, S., Casas, F., Thalhammer, M.: Convergence analysis of high-order commutator-free quasi Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type. IMA J. Numer. Anal. 38, 743–778 (2018)
Danby, J.: Fundamentals of Celestial Mechanics. Willmann-Bell, Richmond (1988)
El-Saftawy, M., El-Salam, F.A.: Second-order theory for the two-body problem with varying mass including periastron effect. Nonlinear Dyn. 88, 1723–1732 (2017)
Farrés, A., Laskar, J., Blanes, S., Casas, F., Makazaga, J., Murua, A.: High precision symplectic integrators for the solar system. Celest. Mech. Dyn. Astron. 116, 141–174 (2013)
Hadjidemetriou, J.: Secular variation of mass and the evolution of binary systems. In: Kopal, Z. (ed.) Advances in Astronomy and Astrophysics, vol. 5, pp. 131–188. Academic Press, New York (1967)
Hairer, E., Nørsett, S., Wanner, G.: Solving Ordinary Differential Equations I, Nonstiff Problems, Second revised edn. Springer, Berlin (1993)
Hairer, E., Lubich, C., Wanner, G.: Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations, Second edn. Springer, Berlin (2006)
Laskar, J.: Analytical framework in Poincaré variables for the motion of the solar system. In: Roy, A. (ed.) Predictability, Stability and Chaos in $$N$$-Body Dynamical Systems, NATO ASI, pp. 93–114. Plenum Press, New York (1991)
Laskar, J., Robutel, P.: High order symplectic integrators for perturbed Hamiltonian systems. Celest. Mech. Dyn. Astron. 80, 39–62 (2001)
Li, L.S.: Secular influence of the evolution of orbits of near-Earth asteroids induced by temporary variation of G and solar mass-loss. Month. Not. R. Astron. Soc. 431, 2971–2974 (2013)
McLachlan, R.: On the numerical integration of ODE’s by symmetric composition methods. SIAM J. Sci. Comput. 16, 151–168 (1995)
McLachlan, R., Quispel, R.: Splitting methods. Acta Numer. 11, 341–434 (2002)
Oteo, J.A., Ros, J.: The Magnus expansion for classical Hamiltonian systems. J. Phys. A: Math. Gen. 24, 5751–5762 (1991)
Rahoma, W.: Investigating exoplanet orbital evolution around binary star systems. J. Astron. Space Sci. 33, 257–264 (2016)
Rahoma, W., El-Salam, F.A., Ahmed, M.: Analytical treatment of the two-body problem with slowly varying mass. J. Astrophys. Astron. 30, 187–205 (2009)
Sanz-Serna, J., Calvo, M.: Numerical Hamiltonian Problems. Chapman & Hall, London (1994)
Veras, D., Hadjidemetriou, J., Tout, C.: An exoplanet’s response to anisotropic stellar mass loss during birth and death. Month. Not. R. Astron. Soc. 435, 2416–2430 (2013)
Wisdom, J., Holman, M.: Symplectic maps for the N-body problem. Astron. J. 102, 1528–1538 (1991)
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