Class information for:
Level 1: CENTRAL CONFIGURATIONS//N BODY PROBLEM//SPATIAL CENTRAL CONFIGURATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11322 991 17.3 38%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
19 4 ASTRONOMY & ASTROPHYSICS//ASTROPHYSICAL JOURNAL//ASTRON 523489
170 3       ICARUS//JOURNAL OF GEOPHYSICAL RESEARCH-PLANETS//METEORITICS & PLANETARY SCIENCE 58974
477 2             ASTEROIDS//JOURNAL OF GUIDANCE CONTROL AND DYNAMICS//ENGINEERING, AEROSPACE 15800
11322 1                   CENTRAL CONFIGURATIONS//N BODY PROBLEM//SPATIAL CENTRAL CONFIGURATIONS 991

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CENTRAL CONFIGURATIONS authKW 2627046 9% 95% 90
2 N BODY PROBLEM authKW 1694925 12% 45% 123
3 SPATIAL CENTRAL CONFIGURATIONS authKW 431356 1% 100% 14
4 STACKED CENTRAL CONFIGURATION authKW 400545 1% 100% 13
5 THREE BODY PROBLEM authKW 340658 5% 21% 53
6 PLANAR CENTRAL CONFIGURATIONS authKW 338923 1% 100% 11
7 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY journal 261366 13% 7% 124
8 4 BODY PROBLEM authKW 246489 1% 100% 8
9 TECNOL DIGITALS INFORMACIO address 226879 1% 82% 9
10 SAARIS CONJECTURE authKW 215678 1% 100% 7

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics, Applied 9234 39% 0% 382
2 Mathematics 6903 37% 0% 362
3 Astronomy & Astrophysics 4193 28% 0% 274
4 Mathematics, Interdisciplinary Applications 4067 15% 0% 147
5 Physics, Mathematical 2967 16% 0% 156
6 Mechanics 445 8% 0% 82
7 Physics, Multidisciplinary 175 8% 0% 77
8 Education, Scientific Disciplines 20 1% 0% 9
9 Engineering, Aerospace 6 1% 0% 6
10 Multidisciplinary Sciences 2 1% 0% 5

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TECNOL DIGITALS INFORMACIO 226879 1% 82% 9
2 PACIFIC MATH SCI 73623 1% 17% 14
3 ANAL PROBABILITES EA 2172 61622 0% 100% 2
4 DIPARTIMENTO SCI MATEMAT JL LAGRANGE DISMA 61622 0% 100% 2
5 O MATEMAT MECAN 55458 0% 60% 3
6 GEN EDUC PROGRAM 49293 0% 40% 4
7 TURKU UNIV OBSERV 46214 0% 50% 3
8 NUCLEO FORMACAO DOCENTE 41080 0% 67% 2
9 ANAL NON LINEAIRE GEMETRIE 30811 0% 100% 1
10 ARTMENT MATH PLICAT 30811 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 261366 13% 7% 124
2 CELESTIAL MECHANICS 84004 4% 7% 41
3 QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 39424 1% 10% 13
4 JOURNAL OF DIFFERENTIAL EQUATIONS 18025 7% 1% 65
5 ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 16508 4% 1% 37
6 JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 6936 1% 2% 10
7 REGULAR & CHAOTIC DYNAMICS 6540 1% 2% 12
8 DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 4853 2% 1% 23
9 ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 3586 1% 1% 12
10 JOURNAL OF NONLINEAR SCIENCE 3114 1% 1% 8

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 CENTRAL CONFIGURATIONS 2627046 9% 95% 90 Search CENTRAL+CONFIGURATIONS Search CENTRAL+CONFIGURATIONS
2 N BODY PROBLEM 1694925 12% 45% 123 Search N+BODY+PROBLEM Search N+BODY+PROBLEM
3 SPATIAL CENTRAL CONFIGURATIONS 431356 1% 100% 14 Search SPATIAL+CENTRAL+CONFIGURATIONS Search SPATIAL+CENTRAL+CONFIGURATIONS
4 STACKED CENTRAL CONFIGURATION 400545 1% 100% 13 Search STACKED+CENTRAL+CONFIGURATION Search STACKED+CENTRAL+CONFIGURATION
5 THREE BODY PROBLEM 340658 5% 21% 53 Search THREE+BODY+PROBLEM Search THREE+BODY+PROBLEM
6 PLANAR CENTRAL CONFIGURATIONS 338923 1% 100% 11 Search PLANAR+CENTRAL+CONFIGURATIONS Search PLANAR+CENTRAL+CONFIGURATIONS
7 4 BODY PROBLEM 246489 1% 100% 8 Search 4+BODY+PROBLEM Search 4+BODY+PROBLEM
8 SAARIS CONJECTURE 215678 1% 100% 7 Search SAARIS+CONJECTURE Search SAARIS+CONJECTURE
9 RELATIVE EQUILIBRIA 214106 3% 24% 29 Search RELATIVE+EQUILIBRIA Search RELATIVE+EQUILIBRIA
10 FOUR BODY PROBLEM 192362 2% 39% 16 Search FOUR+BODY+PROBLEM Search FOUR+BODY+PROBLEM

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 TIBBOEL, P , (2016) FINITENESS OF POLYGONAL RELATIVE EQUILIBRIA FOR GENERALISED QUASI-HOMOGENEOUS N-BODY PROBLEMS AND N-BODY PROBLEMS IN SPACES OF CONSTANT CURVATURE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 441. ISSUE 1. P. 183 -193 34 94% 0
2 YU, X , ZHANG, SQ , (2016) SAARI'S CONJECTURE FOR ELLIPTICAL MOTIONS AND MINIMIZING SOLUTIONS OF THE N-BODY PROBLEM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 48. ISSUE 1. P. 709 -724 25 100% 0
3 TIBBOEL, P , (2015) EXISTENCE OF A LOWER BOUND FOR THE DISTANCE BETWEEN POINT MASSES OF RELATIVE EQUILIBRIA FOR GENERALISED QUASI-HOMOGENEOUS N-BODY PROBLEMS AND THE CURVED N-BODY PROBLEM.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 3. P. - 26 93% 0
4 OUYANG, TC , XIE, ZF , (2015) STAR PENTAGON AND MANY STABLE CHOREOGRAPHIC SOLUTIONS OF THE NEWTONIAN 4-BODY PROBLEM.PHYSICA D-NONLINEAR PHENOMENA. VOL. 307. ISSUE . P. 61 -76 25 96% 0
5 ERDI, B , CZIRJAK, Z , (2016) CENTRAL CONFIGURATIONS OF FOUR BODIES WITH AN AXIS OF SYMMETRY.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. VOL. 125. ISSUE 1. P. 33 -70 20 95% 3
6 BOSCAGGIN, A , DAMBROSIO, W , TERRACINI, S , (2017) SCATTERING PARABOLIC SOLUTIONS FOR THE SPATIAL N-CENTRE PROBLEM.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 223. ISSUE 3. P. 1269 -1306 23 96% 0
7 TERRACINI, S , (2006) ON THE VARIATIONAL APPROACH TO THE PERIODIC N-BODY PROBLEM.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY. VOL. 95. ISSUE 1-4. P. 3 -25 30 94% 4
8 CASTELLI, R , (2017) TOPOLOGICALLY DISTINCT COLLISION-FREE PERIODIC SOLUTIONS FOR THE -CENTER PROBLEM.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. VOL. 223. ISSUE 2. P. 941 -975 25 83% 0
9 BARUTELLO, V , FERRARIO, DL , TERRACINI, S , (2008) ON THE SINGULARITIES OF GENERALIZED SOLUTIONS TO N-BODY-TYPE PROBLEMS.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE . P. - 25 93% 7
10 CORBERA, M , CORS, J , LLIBRE, J , MOECKEL, R , (2015) BIFURCATION OF RELATIVE EQUILIBRIA OF THE (1+3)-BODY PROBLEM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS. VOL. 47. ISSUE 2. P. 1377 -1404 19 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 15782 OBLATENESS//RESTRICTED THREE BODY PROBLEM//SITNIKOV PROBLEM
2 34936 HYPERANGULAR MOMENTA//KINETIC ENERGY PARTITIONS//RECONSTRUCTION PHASES
3 22787 NON CANONICAL HAMILTONIAN STRUCTURE//FULL TWO BODY PROBLEM//GRAVITATIONAL ORBIT ATTITUDE COUPLING
4 10976 MASLOV TYPE INDEX//SECOND ORDER HAMILTONIAN SYSTEMS//HAMILTONIAN SYSTEMS
5 19526 HILL STABILITY//CELESTIAL MECHANICS//STARS INDIVIDUAL GAMMA CEPHEI
6 12283 LIBRATION POINT ORBITS//HALO ORBIT//CIRCULAR RESTRICTED THREE BODY PROBLEM
7 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
8 9161 KAM THEORY//ARNOLD DIFFUSION//KAM ITERATION
9 12667 SUPERINTEGRABILITY//SUPERINTEGRABLE SYSTEMS//STACKEL SYSTEMS
10 14222 FROZEN ORBITS//CRITICAL INCLINATION//HIGH AREA TO MASS RATIO

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