The collision singularity of the Kepler problem with singular perturbations

Proceedings of the American Mathematical Society ◽

10.1090/proc/15600 ◽

2021 ◽

pp. 1

Author(s):

Kuo-Chang Chen ◽

Ku-Jung Hsu

Keyword(s):

Singular Perturbations ◽

Kepler Problem ◽

Collision Singularity

Singular Perturbations of Differential Operators

10.1017/cbo9780511758904 ◽

2000 ◽

Cited By ~ 203

Author(s):

S. Albeverio ◽

P. Kurasov

Keyword(s):

Singular Perturbations ◽

Differential Operators

Singular perturbations and time scales in guidance and control of aerospace systems - A survey

Journal of Guidance Control and Dynamics ◽

10.2514/3.22603 ◽

2001 ◽

Vol 24 (6) ◽

pp. 1057-1078 ◽

Cited By ~ 3

Author(s):

D. S. Naidu ◽

Anthony J. Calise

Keyword(s):

Time Scales ◽

Singular Perturbations ◽

Guidance And Control ◽

Aerospace Systems ◽

And Control

On Symmetry Groups of the MIC-Kepler Problem and Their Unitary Irreducible Representations

Progress in Differential Geometry ◽

10.2969/aspm/02210069 ◽

2018 ◽

Author(s):

Toshihiro Iwai ◽

Yoshio Uwano

Keyword(s):

Kepler Problem ◽

Irreducible Representations ◽

Symmetry Groups

Asymptotics of Eigenvalues in Spectral Gaps of Periodic Waveguides with Small Singular Perturbations

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04576-4 ◽

2019 ◽

Vol 243 (5) ◽

pp. 746-773

Author(s):

S. A. Nazarov

Keyword(s):

Singular Perturbations ◽

Spectral Gaps ◽

Asymptotics Of Eigenvalues

Singular Perturbations of Self-Adjoint Operators

Mathematical Physics Analysis and Geometry ◽

10.1023/b:mpag.0000007189.09453.fc ◽

2003 ◽

Vol 6 (4) ◽

pp. 349-384 ◽

Cited By ~ 17

Author(s):

Vladimir Derkach ◽

Seppo Hassi ◽

Henk de Snoo

Keyword(s):

Singular Perturbations ◽

Adjoint Operators

Forced Singular Perturbations as Theoretical Background to a Split-Coordinate Frame Multirate Strapdown Terrestrial Navigation Algorithm

The Fourth International Conference on Control and Automation 2003 ICCA Final Program and Book of Abstracts ICCA-03 ◽

10.1109/icca.2003.1594978 ◽

2003 ◽

Cited By ~ 1

Author(s):

J. Waldmann

Keyword(s):

Singular Perturbations ◽

Theoretical Background ◽

Coordinate Frame ◽

Navigation Algorithm

A bi-Hamiltonian formulation for separable potentials and its application to the Kepler problem and the Euler problem of two centers of gravitation

Physics Letters A ◽

10.1016/0375-9601(91)90604-7 ◽

1991 ◽

Vol 160 (2) ◽

pp. 149-154 ◽

Cited By ~ 19

Author(s):

Stefan Rauch-Wojciechowski

Keyword(s):

Kepler Problem ◽

Hamiltonian Formulation ◽

Separable Potentials ◽

Euler Problem

Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(85)90333-6 ◽

1985 ◽

Vol 110 (1) ◽

pp. 1-30 ◽

Cited By ~ 6

Author(s):

A.L Dontchev ◽

V.M Veliov

Keyword(s):

Control Systems ◽

Singular Perturbations ◽

Linear Control ◽

Linear Control Systems ◽

Weakly Coupled

The Numerical Solution of Singular Perturbations of Boundary Value Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0707021 ◽

1970 ◽

Vol 7 (2) ◽

pp. 281-313 ◽

Cited By ~ 25

Author(s):

Fred W. Dorr

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Singular Perturbations ◽

Boundary Value

Singular Perturbations in Stochastic Control

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)61192-3 ◽

1984 ◽

Vol 17 (2) ◽

pp. 1525-1530

Author(s):

A. Bensoussan ◽

G.L. Blankenship

Keyword(s):

Stochastic Control ◽

Singular Perturbations