Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1995-06

AUTHORS

Martín Lara, André Deprit, Antonio Elipe

ABSTRACT

In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations. More... »

PAGES

167-181

References to SciGraph publications

  • 1982-06. Intrinsic variational equations for conservative dynamical systems withN degrees of freedom in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1966-05. Numerical integration of an orbit and its concomitant variations by recurrent power series in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1986-12. The critical inclination in artificial satellite theory in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1994-02. Numerical integration of periodic orbits in the main problem of artificial satellite theory in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1981-06. Intrinsic variational equations in three dimensions in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1994-05. Frozen orbits for satellites close to an Earth-like planet in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Journal

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00692085

    DOI

    http://dx.doi.org/10.1007/bf00692085

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1051400247


    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/2008/0403", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Geology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/04", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Earth Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "name": [
                "Real Observatorio de la Armada, San Fernando, 11110, C\u00e1diz, Spain"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Lara", 
            "givenName": "Mart\u00edn", 
            "id": "sg:person.015310177053.08", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015310177053.08"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Zaragoza", 
              "id": "https://www.grid.ac/institutes/grid.11205.37", 
              "name": [
                "Grupo de Mec\u00e1nica Espacial. Universidad de Zaragoza, 50009, Zaragoza, Spain"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Deprit", 
            "givenName": "Andr\u00e9", 
            "id": "sg:person.011500421302.45", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011500421302.45"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "University of Zaragoza", 
              "id": "https://www.grid.ac/institutes/grid.11205.37", 
              "name": [
                "Grupo de Mec\u00e1nica Espacial. Universidad de Zaragoza, 50009, Zaragoza, Spain"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Elipe", 
            "givenName": "Antonio", 
            "id": "sg:person.010164176311.20", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010164176311.20"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01229196", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011112274", 
              "https://doi.org/10.1007/bf01229196"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01229196", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011112274", 
              "https://doi.org/10.1007/bf01229196"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01594535", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019436664", 
              "https://doi.org/10.1007/bf01594535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01594535", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019436664", 
              "https://doi.org/10.1007/bf01594535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01271689", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024698994", 
              "https://doi.org/10.1007/bf01271689"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01271689", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1024698994", 
              "https://doi.org/10.1007/bf01271689"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-1917-1501070-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1026769092"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00691970", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037182212", 
              "https://doi.org/10.1007/bf00691970"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00691970", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037182212", 
              "https://doi.org/10.1007/bf00691970"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00695787", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039916991", 
              "https://doi.org/10.1007/bf00695787"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00695787", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039916991", 
              "https://doi.org/10.1007/bf00695787"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230483", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047177464", 
              "https://doi.org/10.1007/bf01230483"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01230483", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047177464", 
              "https://doi.org/10.1007/bf01230483"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/109823", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058448441"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1086/110212", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1058448813"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1995-06", 
        "datePublishedReg": "1995-06-01", 
        "description": "In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf00692085", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136436", 
            "issn": [
              "0008-8714", 
              "0923-2958"
            ], 
            "name": "Celestial Mechanics and Dynamical Astronomy", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "62"
          }
        ], 
        "name": "Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory", 
        "pagination": "167-181", 
        "productId": [
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf00692085"
            ]
          }, 
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "f4d998b11052b88054e4c8bb73509117933d6c2b6a3edbf39c94f3209abcf854"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1051400247"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf00692085", 
          "https://app.dimensions.ai/details/publication/pub.1051400247"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-15T09:04", 
        "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/v90/0000000375_0000000375/records_91469_00000001.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF00692085"
      }
    ]
     

    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.10.1007/bf00692085'

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

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf00692085'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf00692085'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf00692085'


     

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

    110 TRIPLES      21 PREDICATES      36 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf00692085 schema:about anzsrc-for:04
    2 anzsrc-for:0403
    3 schema:author Ne0805903bf604d9d952e73b0066f023c
    4 schema:citation sg:pub.10.1007/bf00691970
    5 sg:pub.10.1007/bf00695787
    6 sg:pub.10.1007/bf01229196
    7 sg:pub.10.1007/bf01230483
    8 sg:pub.10.1007/bf01271689
    9 sg:pub.10.1007/bf01594535
    10 https://doi.org/10.1086/109823
    11 https://doi.org/10.1086/110212
    12 https://doi.org/10.1090/s0002-9947-1917-1501070-3
    13 schema:datePublished 1995-06
    14 schema:datePublishedReg 1995-06-01
    15 schema:description In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations.
    16 schema:genre research_article
    17 schema:inLanguage en
    18 schema:isAccessibleForFree false
    19 schema:isPartOf N66ef265e2177476ca301a75a9a77d558
    20 Nd3aa98fa564f4cdfb38d0f67ca7f619e
    21 sg:journal.1136436
    22 schema:name Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory
    23 schema:pagination 167-181
    24 schema:productId N008e642b881d4ec19b714261bef22305
    25 Nedae7625e5fd4dda8c094218cae82132
    26 Nf6c80dbd274c4e638ec4e2c92711f9cb
    27 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051400247
    28 https://doi.org/10.1007/bf00692085
    29 schema:sdDatePublished 2019-04-15T09:04
    30 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    31 schema:sdPublisher N603acaf1f1ac4e2b905f8b6148953616
    32 schema:url http://link.springer.com/10.1007/BF00692085
    33 sgo:license sg:explorer/license/
    34 sgo:sdDataset articles
    35 rdf:type schema:ScholarlyArticle
    36 N008e642b881d4ec19b714261bef22305 schema:name doi
    37 schema:value 10.1007/bf00692085
    38 rdf:type schema:PropertyValue
    39 N192d5d44cac04707b00812521b451b2c rdf:first sg:person.010164176311.20
    40 rdf:rest rdf:nil
    41 N429e0863963e4ea7a6021c9b99047d35 schema:name Real Observatorio de la Armada, San Fernando, 11110, Cádiz, Spain
    42 rdf:type schema:Organization
    43 N603acaf1f1ac4e2b905f8b6148953616 schema:name Springer Nature - SN SciGraph project
    44 rdf:type schema:Organization
    45 N66ef265e2177476ca301a75a9a77d558 schema:volumeNumber 62
    46 rdf:type schema:PublicationVolume
    47 N88759fb9c0a94714bbf8b966de3fa644 rdf:first sg:person.011500421302.45
    48 rdf:rest N192d5d44cac04707b00812521b451b2c
    49 Nd3aa98fa564f4cdfb38d0f67ca7f619e schema:issueNumber 2
    50 rdf:type schema:PublicationIssue
    51 Ne0805903bf604d9d952e73b0066f023c rdf:first sg:person.015310177053.08
    52 rdf:rest N88759fb9c0a94714bbf8b966de3fa644
    53 Nedae7625e5fd4dda8c094218cae82132 schema:name dimensions_id
    54 schema:value pub.1051400247
    55 rdf:type schema:PropertyValue
    56 Nf6c80dbd274c4e638ec4e2c92711f9cb schema:name readcube_id
    57 schema:value f4d998b11052b88054e4c8bb73509117933d6c2b6a3edbf39c94f3209abcf854
    58 rdf:type schema:PropertyValue
    59 anzsrc-for:04 schema:inDefinedTermSet anzsrc-for:
    60 schema:name Earth Sciences
    61 rdf:type schema:DefinedTerm
    62 anzsrc-for:0403 schema:inDefinedTermSet anzsrc-for:
    63 schema:name Geology
    64 rdf:type schema:DefinedTerm
    65 sg:journal.1136436 schema:issn 0008-8714
    66 0923-2958
    67 schema:name Celestial Mechanics and Dynamical Astronomy
    68 rdf:type schema:Periodical
    69 sg:person.010164176311.20 schema:affiliation https://www.grid.ac/institutes/grid.11205.37
    70 schema:familyName Elipe
    71 schema:givenName Antonio
    72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010164176311.20
    73 rdf:type schema:Person
    74 sg:person.011500421302.45 schema:affiliation https://www.grid.ac/institutes/grid.11205.37
    75 schema:familyName Deprit
    76 schema:givenName André
    77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011500421302.45
    78 rdf:type schema:Person
    79 sg:person.015310177053.08 schema:affiliation N429e0863963e4ea7a6021c9b99047d35
    80 schema:familyName Lara
    81 schema:givenName Martín
    82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015310177053.08
    83 rdf:type schema:Person
    84 sg:pub.10.1007/bf00691970 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037182212
    85 https://doi.org/10.1007/bf00691970
    86 rdf:type schema:CreativeWork
    87 sg:pub.10.1007/bf00695787 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039916991
    88 https://doi.org/10.1007/bf00695787
    89 rdf:type schema:CreativeWork
    90 sg:pub.10.1007/bf01229196 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011112274
    91 https://doi.org/10.1007/bf01229196
    92 rdf:type schema:CreativeWork
    93 sg:pub.10.1007/bf01230483 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047177464
    94 https://doi.org/10.1007/bf01230483
    95 rdf:type schema:CreativeWork
    96 sg:pub.10.1007/bf01271689 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024698994
    97 https://doi.org/10.1007/bf01271689
    98 rdf:type schema:CreativeWork
    99 sg:pub.10.1007/bf01594535 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019436664
    100 https://doi.org/10.1007/bf01594535
    101 rdf:type schema:CreativeWork
    102 https://doi.org/10.1086/109823 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058448441
    103 rdf:type schema:CreativeWork
    104 https://doi.org/10.1086/110212 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058448813
    105 rdf:type schema:CreativeWork
    106 https://doi.org/10.1090/s0002-9947-1917-1501070-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026769092
    107 rdf:type schema:CreativeWork
    108 https://www.grid.ac/institutes/grid.11205.37 schema:alternateName University of Zaragoza
    109 schema:name Grupo de Mecánica Espacial. Universidad de Zaragoza, 50009, Zaragoza, Spain
    110 rdf:type schema:Organization
     




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


    ...