Long Time Stability for the Main Problem of Artificial Satellites View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1997-11

AUTHORS

Daniel Steichen, Antonio Giorgilli

ABSTRACT

We investigate the significance of long time stabilty predictions in the light of Nekhoroshev's theory by studying the orbits of artificial satellites. As a simplified model problem we consider the so-called J2problem for an earth's satellite, neglecting luni-solar perturbations and nonconservative effects. We consider a wide range of orbits, excluding those which are too close to the critical inclination. Most of the orbits turn out to be stable for times larger than the estimated age of the solar system, thus proving that, as far as dissipation can be neglected, stability in Nekhoroshev's sense may be effective for physically realistic systems. More... »

PAGES

317-330

References to SciGraph publications

  • 1976-12. A note on Hansen's coefficients in satellite theory in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1995. Quantitative Methods in Classical Perturbation Theory in FROM NEWTON TO CHAOS
  • 1996-09. An application of the Nekhoroshev theorem to the restricted three-body problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970-03. On a perturbation theory using Lie transforms in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1985-09. A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1990-03. On the stability of the lagrangian points in the spatial restricted problem of three bodies in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1008277122375

    DOI

    http://dx.doi.org/10.1023/a:1008277122375

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1019204122


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0909", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Geomatic Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "name": [
                "D\u00e9partement de Math\u00e9matique, Facult\u00e9 de Namur, Rempart de la Vierge 8, 5000, NAMUR, Belgium"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Steichen", 
            "givenName": "Daniel", 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Milan", 
              "id": "https://www.grid.ac/institutes/grid.4708.b", 
              "name": [
                "Dipartimento di Matematica dell', Universit\u00e0 di Milano, Via Saldini 50, 20133, MILANO, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Giorgilli", 
            "givenName": "Antonio", 
            "id": "sg:person.010532704656.30", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf00728351", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009176965", 
              "https://doi.org/10.1007/bf00728351"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00728351", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009176965", 
              "https://doi.org/10.1007/bf00728351"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4899-1085-1_3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011111714", 
              "https://doi.org/10.1007/978-1-4899-1085-1_3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0022-0396(89)90161-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012444730"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230436", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013740596", 
              "https://doi.org/10.1007/bf01230436"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230436", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1013740596", 
              "https://doi.org/10.1007/bf01230436"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01229062", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018042362", 
              "https://doi.org/10.1007/bf01229062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01229062", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018042362", 
              "https://doi.org/10.1007/bf01229062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230338", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031307341", 
              "https://doi.org/10.1007/bf01230338"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230338", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031307341", 
              "https://doi.org/10.1007/bf01230338"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00048985", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049639183", 
              "https://doi.org/10.1007/bf00048985"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00048985", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049639183", 
              "https://doi.org/10.1007/bf00048985"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1063/1.3057799", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1057902622"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1070/rm1977v032n06abeh003859", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058194264"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/108248", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058446954"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1997-11", 
        "datePublishedReg": "1997-11-01", 
        "description": "We investigate the significance of long time stabilty predictions in the light of Nekhoroshev's theory by studying the orbits of artificial satellites. As a simplified model problem we consider the so-called J2problem for an earth's satellite, neglecting luni-solar perturbations and nonconservative effects. We consider a wide range of orbits, excluding those which are too close to the critical inclination. Most of the orbits turn out to be stable for times larger than the estimated age of the solar system, thus proving that, as far as dissipation can be neglected, stability in Nekhoroshev's sense may be effective for physically realistic systems.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1023/a:1008277122375", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136436", 
            "issn": [
              "0008-8714", 
              "0923-2958"
            ], 
            "name": "Celestial Mechanics and Dynamical Astronomy", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "69"
          }
        ], 
        "name": "Long Time Stability for the Main Problem of Artificial Satellites", 
        "pagination": "317-330", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "5b8046c94cb878476c346f27ad4924459392b477d35fdc2daf0450621eae3109"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1023/a:1008277122375"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1019204122"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1023/a:1008277122375", 
          "https://app.dimensions.ai/details/publication/pub.1019204122"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T14:06", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8660_00000499.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1023/A:1008277122375"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1023/a:1008277122375'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/a:1008277122375'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/a:1008277122375'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/a:1008277122375'


     

    This table displays all metadata directly associated to this object as RDF triples.

    105 TRIPLES      21 PREDICATES      37 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1023/a:1008277122375 schema:about anzsrc-for:09
    2 anzsrc-for:0909
    3 schema:author Ne8a6930804084c0f9508a2aeb2a9a033
    4 schema:citation sg:pub.10.1007/978-1-4899-1085-1_3
    5 sg:pub.10.1007/bf00048985
    6 sg:pub.10.1007/bf00728351
    7 sg:pub.10.1007/bf01229062
    8 sg:pub.10.1007/bf01230338
    9 sg:pub.10.1007/bf01230436
    10 https://doi.org/10.1016/0022-0396(89)90161-7
    11 https://doi.org/10.1063/1.3057799
    12 https://doi.org/10.1070/rm1977v032n06abeh003859
    13 https://doi.org/10.1086/108248
    14 schema:datePublished 1997-11
    15 schema:datePublishedReg 1997-11-01
    16 schema:description We investigate the significance of long time stabilty predictions in the light of Nekhoroshev's theory by studying the orbits of artificial satellites. As a simplified model problem we consider the so-called J2problem for an earth's satellite, neglecting luni-solar perturbations and nonconservative effects. We consider a wide range of orbits, excluding those which are too close to the critical inclination. Most of the orbits turn out to be stable for times larger than the estimated age of the solar system, thus proving that, as far as dissipation can be neglected, stability in Nekhoroshev's sense may be effective for physically realistic systems.
    17 schema:genre research_article
    18 schema:inLanguage en
    19 schema:isAccessibleForFree false
    20 schema:isPartOf N1b117fa66c2d4720ade6daaf049e2e3b
    21 N5fd2241fe4f94204b6fca84c185af113
    22 sg:journal.1136436
    23 schema:name Long Time Stability for the Main Problem of Artificial Satellites
    24 schema:pagination 317-330
    25 schema:productId N6ebb9cb07b084cd38897b72668adfb17
    26 Nb38760d6984449288e80d8ce70748dca
    27 Nca47b73838ee4497b0373491a674eaac
    28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019204122
    29 https://doi.org/10.1023/a:1008277122375
    30 schema:sdDatePublished 2019-04-10T14:06
    31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    32 schema:sdPublisher Nea3b63b5c627495f94c39a77a12ef17c
    33 schema:url http://link.springer.com/10.1023/A:1008277122375
    34 sgo:license sg:explorer/license/
    35 sgo:sdDataset articles
    36 rdf:type schema:ScholarlyArticle
    37 N1b117fa66c2d4720ade6daaf049e2e3b schema:issueNumber 3
    38 rdf:type schema:PublicationIssue
    39 N24427b493d034b3ea8cd6592f9e3a936 schema:affiliation Nc6cdfe72e7604024ac994083752e98e8
    40 schema:familyName Steichen
    41 schema:givenName Daniel
    42 rdf:type schema:Person
    43 N53dbf335ebc24bb1afc7616c05742c00 rdf:first sg:person.010532704656.30
    44 rdf:rest rdf:nil
    45 N5fd2241fe4f94204b6fca84c185af113 schema:volumeNumber 69
    46 rdf:type schema:PublicationVolume
    47 N6ebb9cb07b084cd38897b72668adfb17 schema:name readcube_id
    48 schema:value 5b8046c94cb878476c346f27ad4924459392b477d35fdc2daf0450621eae3109
    49 rdf:type schema:PropertyValue
    50 Nb38760d6984449288e80d8ce70748dca schema:name doi
    51 schema:value 10.1023/a:1008277122375
    52 rdf:type schema:PropertyValue
    53 Nc6cdfe72e7604024ac994083752e98e8 schema:name Département de Mathématique, Faculté de Namur, Rempart de la Vierge 8, 5000, NAMUR, Belgium
    54 rdf:type schema:Organization
    55 Nca47b73838ee4497b0373491a674eaac schema:name dimensions_id
    56 schema:value pub.1019204122
    57 rdf:type schema:PropertyValue
    58 Ne8a6930804084c0f9508a2aeb2a9a033 rdf:first N24427b493d034b3ea8cd6592f9e3a936
    59 rdf:rest N53dbf335ebc24bb1afc7616c05742c00
    60 Nea3b63b5c627495f94c39a77a12ef17c schema:name Springer Nature - SN SciGraph project
    61 rdf:type schema:Organization
    62 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    63 schema:name Engineering
    64 rdf:type schema:DefinedTerm
    65 anzsrc-for:0909 schema:inDefinedTermSet anzsrc-for:
    66 schema:name Geomatic Engineering
    67 rdf:type schema:DefinedTerm
    68 sg:journal.1136436 schema:issn 0008-8714
    69 0923-2958
    70 schema:name Celestial Mechanics and Dynamical Astronomy
    71 rdf:type schema:Periodical
    72 sg:person.010532704656.30 schema:affiliation https://www.grid.ac/institutes/grid.4708.b
    73 schema:familyName Giorgilli
    74 schema:givenName Antonio
    75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30
    76 rdf:type schema:Person
    77 sg:pub.10.1007/978-1-4899-1085-1_3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011111714
    78 https://doi.org/10.1007/978-1-4899-1085-1_3
    79 rdf:type schema:CreativeWork
    80 sg:pub.10.1007/bf00048985 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049639183
    81 https://doi.org/10.1007/bf00048985
    82 rdf:type schema:CreativeWork
    83 sg:pub.10.1007/bf00728351 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009176965
    84 https://doi.org/10.1007/bf00728351
    85 rdf:type schema:CreativeWork
    86 sg:pub.10.1007/bf01229062 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018042362
    87 https://doi.org/10.1007/bf01229062
    88 rdf:type schema:CreativeWork
    89 sg:pub.10.1007/bf01230338 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031307341
    90 https://doi.org/10.1007/bf01230338
    91 rdf:type schema:CreativeWork
    92 sg:pub.10.1007/bf01230436 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013740596
    93 https://doi.org/10.1007/bf01230436
    94 rdf:type schema:CreativeWork
    95 https://doi.org/10.1016/0022-0396(89)90161-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012444730
    96 rdf:type schema:CreativeWork
    97 https://doi.org/10.1063/1.3057799 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057902622
    98 rdf:type schema:CreativeWork
    99 https://doi.org/10.1070/rm1977v032n06abeh003859 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058194264
    100 rdf:type schema:CreativeWork
    101 https://doi.org/10.1086/108248 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058446954
    102 rdf:type schema:CreativeWork
    103 https://www.grid.ac/institutes/grid.4708.b schema:alternateName University of Milan
    104 schema:name Dipartimento di Matematica dell', Università di Milano, Via Saldini 50, 20133, MILANO, Italy
    105 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...