LEADER 03697nam 2200613 450 001 9910480507803321 005 20170822140221.0 010 $a1-4704-0482-6 035 $a(CKB)3360000000465062 035 $a(EBL)3114181 035 $a(SSID)ssj0000889021 035 $a(PQKBManifestationID)11480057 035 $a(PQKBTitleCode)TC0000889021 035 $a(PQKBWorkID)10867004 035 $a(PQKB)11666288 035 $a(MiAaPQ)EBC3114181 035 $a(PPN)195417674 035 $a(EXLCZ)993360000000465062 100 $a20150417h20072007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aKAM stability and celestial mechanics /$fAlessandra Celletti, Luigi Chierchia 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2007. 210 4$d©2007 215 $a1 online resource (150 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 187, Number 878 300 $a"Volume 187, Number 878 (third of four numbers)." 311 $a0-8218-4169-6 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Chapter 1. Introduction""; ""1.1. Quasi-periodic solutions for the n-body problem""; ""1.2. A stability theorem for the Sun-Jupiter-Victoria system viewed as a restricted, circular, planar three-body problem""; ""1.3. About the proof of the Sun-Jupiter-Victoria stability theorem""; ""1.4. A short history of KAM stability estimates""; ""1.5. A section-by-section summary""; ""Chapter 2. Iso-energetic KAM Theory""; ""2.1. Notations""; ""2.2. KAM tori""; ""2.3. Newton scheme for finding iso-energetic KAM tori""; ""2.4. The KAM Map""; ""2.5. Technical Tools"" 327 $a""2.6. The KAM Norm Map""""2.7. Iso-energetic KAM Theorem""; ""2.8. Iso-energetic Lindstedt series""; ""Chapter 3. The Restricted, Circular, Planar Three-body Problem""; ""3.1. The restricted three-body problem""; ""3.2. Delaunay action-angle variables for the two-body problem""; ""3.3. The restricted, circular, planar three-body problem viewed as nearly-integrable Hamiltonian system""; ""3.4. The Sun-Jupiter-Asteroid problem""; ""Chapter 4. KAM Stability of the Sun-Jupiter-Victoria Problem"" 327 $a""4.1. Iso-energetic Lindstedt series for the Sun-Jupiter-Asteroid problem and choice of the initial approximate tori (u[sup((0)A?±)], v[sup((0)A?±)], w[sup((0)A?±)])""""4.2. Evaluation of the input parameters of the KAM norm map associated to the approximate tori (u[sup((0)A?±)], v[sup((0)A?±)], w[sup((0)A?±)])""; ""4.3. Iterations of the KAM map""; ""4.4. Application of the iso-energetic KAM theorem and perpetual stability of the Sun-Jupiter-Victoria problem""; ""Appendix A. The Ellipse""; ""Appendix B. Diophantine Estimates""; ""B.1. Diophantine estimates for special quadratic numbers"" 327 $a""B.2. Estimates on s[sub(p)],k(I??)""""Appendix C. Interval Arithmetic""; ""Appendix D. A Guide to the Computer Programs""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 187, Number 878. 606 $aThree-body problem 606 $aCelestial mechanics 606 $aPerturbation (Mathematics) 608 $aElectronic books. 615 0$aThree-body problem. 615 0$aCelestial mechanics. 615 0$aPerturbation (Mathematics) 676 $a521 700 $aCelletti$b A$g(Alessandra),$0305617 702 $aChierchia$b Luigi$f1957- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480507803321 996 $aKAM stability and celestial mechanics$92008359 997 $aUNINA LEADER 01028nam a2200241 i 4500 001 991002860959707536 008 151124s20150000xxk fre 020 $a9782051027328 035 $ab14244561-39ule_inst 040 $aBibl. Interfacoltà T. Pellegrino$bita 082 04$a194 100 1 $aL'Aminot, Tanguy$0252403 245 10$aIBibliographie mondiale des écrits sur Jean-Jacques Rousseau XVIII-XXI siècles /$cTanguy L'Aminot /$cTanguy L'Aminot 260 $aGenève :$bSlatkine érudition,$c2015 300 $a258 p. ;$c24 cm. 440 0$aConfessions-Dialogues-Reveries, Religion, Oevuvres diverses ;$v4 600 14$aRousseau, Jean-Jacques 907 $a.b14244561$b25-11-15$c25-11-15 912 $a991002860959707536 945 $aLE002 194 ROU E TAN$g1$i2002001058460$lle002$op$pE60.00$q-$rl$s- $t0$u0$v0$w0$x0$y.i15704130$z25-11-15 996 $aIBibliographie mondiale des écrits sur Jean-Jacques Rousseau XVIII-XXI siècles$9254501 997 $aUNISALENTO 998 $ale002$b25-11-15$cm$da $e $ffre$gxxk$h0$i0 LEADER 01738oam 2200493M 450 001 9910716171003321 005 20200213070913.7 035 $a(CKB)5470000002518403 035 $a(OCoLC)1065602231 035 $a(OCoLC)995470000002518403 035 $a(EXLCZ)995470000002518403 100 $a20071213d1926 ua 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCapt. Edward T. Hartmann and others. June 15, 1926. -- Committed to the Committee of the Whole House and ordered to be printed 210 1$a[Washington, D.C.] :$c[U.S. Government Printing Office],$d1926. 215 $a1 online resource (9 pages) 225 1 $aHouse report / 69th Congress, 1st session. House ;$vno. 1477 225 1 $a[United States congressional serial set ] ;$v[serial no. 8537] 300 $aBatch processed record: Metadata reviewed, not verified. Some fields updated by batch processes. 300 $aFDLP item number not assigned. 606 $aClaims 606 $aLegislative amendments 606 $aPersonal belongings 606 $aShipwrecks 608 $aLegislative materials.$2lcgft 615 0$aClaims. 615 0$aLegislative amendments. 615 0$aPersonal belongings. 615 0$aShipwrecks. 701 $aThomas$b Elmer$f1876-1965$pDemocrat (OK)$01387989 801 0$bWYU 801 1$bWYU 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCQ 906 $aBOOK 912 $a9910716171003321 996 $aCapt. Edward T. Hartmann and others. June 15, 1926. -- Committed to the Committee of the Whole House and ordered to be printed$93471283 997 $aUNINA