The critical inclination problem with small eccentricity View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1980-05

AUTHORS

Alan H. Jupp

ABSTRACT

A qualitative solution is presented of the critical inclination problem in artificial satellite theory for motions in which the orbits are nearly circular. The effects of all the zonal harmonics are taken into account, and bothshallow anddeep resonance regimes are considered. An investigation of the (e sing,e cosg)-plane reveals that six fundamentally different types of phase-plane portraits exist. These portraits illustrate the long-term behaviour of the eccentricity and line of apsides. More... »

PAGES

361-393

References to SciGraph publications

  • 1975-05. The problem of the critical inclination revisited in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1973-08. The global solution of the problem of the critical inclination in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01231275

    DOI

    http://dx.doi.org/10.1007/bf01231275

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1037353899


    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/2008/01", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Mathematical Sciences", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0102", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Applied Mathematics", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Department of Applied Mathematics and Theoretical Physics, University of Liverpool, L69 3BX, Liverpool, England", 
              "id": "http://www.grid.ac/institutes/grid.10025.36", 
              "name": [
                "Department of Applied Mathematics and Theoretical Physics, University of Liverpool, L69 3BX, Liverpool, England"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Jupp", 
            "givenName": "Alan H.", 
            "id": "sg:person.07420122720.37", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07420122720.37"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf01228812", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1046339924", 
              "https://doi.org/10.1007/bf01228812"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01228388", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005645418", 
              "https://doi.org/10.1007/bf01228388"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1980-05", 
        "datePublishedReg": "1980-05-01", 
        "description": "A qualitative solution is presented of the critical inclination problem in artificial satellite theory for motions in which the orbits are nearly circular. The effects of all the zonal harmonics are taken into account, and bothshallow anddeep resonance regimes are considered. An investigation of the (e sing,e cosg)-plane reveals that six fundamentally different types of phase-plane portraits exist. These portraits illustrate the long-term behaviour of the eccentricity and line of apsides.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/bf01231275", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1136436", 
            "issn": [
              "0008-8714", 
              "0923-2958"
            ], 
            "name": "Celestial Mechanics and Dynamical Astronomy", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "4", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "21"
          }
        ], 
        "keywords": [
          "long-term behavior", 
          "phase-plane portraits", 
          "small eccentricity", 
          "resonance regime", 
          "inclination problem", 
          "zonal harmonics", 
          "eccentricity", 
          "harmonics", 
          "motion", 
          "different types", 
          "solution", 
          "behavior", 
          "problem", 
          "regime", 
          "investigation", 
          "qualitative solution", 
          "satellite theory", 
          "orbit", 
          "account", 
          "effect", 
          "theory", 
          "types", 
          "artificial satellite theory", 
          "lines", 
          "portrait", 
          "sings", 
          "apsides", 
          "critical inclination problem", 
          "anddeep resonance regimes", 
          "line of apsides"
        ], 
        "name": "The critical inclination problem with small eccentricity", 
        "pagination": "361-393", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1037353899"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01231275"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01231275", 
          "https://app.dimensions.ai/details/publication/pub.1037353899"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2022-01-01T18:02", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_164.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/bf01231275"
      }
    ]
     

    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/bf01231275'

    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/bf01231275'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01231275'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01231275'


     

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

    96 TRIPLES      22 PREDICATES      58 URIs      48 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01231275 schema:about anzsrc-for:01
    2 anzsrc-for:0102
    3 schema:author N94a0b642ab2744bdbb40627c78da605f
    4 schema:citation sg:pub.10.1007/bf01228388
    5 sg:pub.10.1007/bf01228812
    6 schema:datePublished 1980-05
    7 schema:datePublishedReg 1980-05-01
    8 schema:description A qualitative solution is presented of the critical inclination problem in artificial satellite theory for motions in which the orbits are nearly circular. The effects of all the zonal harmonics are taken into account, and bothshallow anddeep resonance regimes are considered. An investigation of the (e sing,e cosg)-plane reveals that six fundamentally different types of phase-plane portraits exist. These portraits illustrate the long-term behaviour of the eccentricity and line of apsides.
    9 schema:genre article
    10 schema:inLanguage en
    11 schema:isAccessibleForFree false
    12 schema:isPartOf N620a852ba4f34c97be0ec4f6e4427f6f
    13 N9cc9d89f63344223a6bfd321474c6ad3
    14 sg:journal.1136436
    15 schema:keywords account
    16 anddeep resonance regimes
    17 apsides
    18 artificial satellite theory
    19 behavior
    20 critical inclination problem
    21 different types
    22 eccentricity
    23 effect
    24 harmonics
    25 inclination problem
    26 investigation
    27 line of apsides
    28 lines
    29 long-term behavior
    30 motion
    31 orbit
    32 phase-plane portraits
    33 portrait
    34 problem
    35 qualitative solution
    36 regime
    37 resonance regime
    38 satellite theory
    39 sings
    40 small eccentricity
    41 solution
    42 theory
    43 types
    44 zonal harmonics
    45 schema:name The critical inclination problem with small eccentricity
    46 schema:pagination 361-393
    47 schema:productId N585ee3c9c8b044e380b74629f32d5637
    48 Ne5d3fbd242a849fda1996ca96e7fc1f8
    49 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037353899
    50 https://doi.org/10.1007/bf01231275
    51 schema:sdDatePublished 2022-01-01T18:02
    52 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    53 schema:sdPublisher N912a1e69117d4a8284a062d8f96d85e8
    54 schema:url https://doi.org/10.1007/bf01231275
    55 sgo:license sg:explorer/license/
    56 sgo:sdDataset articles
    57 rdf:type schema:ScholarlyArticle
    58 N585ee3c9c8b044e380b74629f32d5637 schema:name doi
    59 schema:value 10.1007/bf01231275
    60 rdf:type schema:PropertyValue
    61 N620a852ba4f34c97be0ec4f6e4427f6f schema:volumeNumber 21
    62 rdf:type schema:PublicationVolume
    63 N912a1e69117d4a8284a062d8f96d85e8 schema:name Springer Nature - SN SciGraph project
    64 rdf:type schema:Organization
    65 N94a0b642ab2744bdbb40627c78da605f rdf:first sg:person.07420122720.37
    66 rdf:rest rdf:nil
    67 N9cc9d89f63344223a6bfd321474c6ad3 schema:issueNumber 4
    68 rdf:type schema:PublicationIssue
    69 Ne5d3fbd242a849fda1996ca96e7fc1f8 schema:name dimensions_id
    70 schema:value pub.1037353899
    71 rdf:type schema:PropertyValue
    72 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
    73 schema:name Mathematical Sciences
    74 rdf:type schema:DefinedTerm
    75 anzsrc-for:0102 schema:inDefinedTermSet anzsrc-for:
    76 schema:name Applied Mathematics
    77 rdf:type schema:DefinedTerm
    78 sg:journal.1136436 schema:issn 0008-8714
    79 0923-2958
    80 schema:name Celestial Mechanics and Dynamical Astronomy
    81 schema:publisher Springer Nature
    82 rdf:type schema:Periodical
    83 sg:person.07420122720.37 schema:affiliation grid-institutes:grid.10025.36
    84 schema:familyName Jupp
    85 schema:givenName Alan H.
    86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07420122720.37
    87 rdf:type schema:Person
    88 sg:pub.10.1007/bf01228388 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005645418
    89 https://doi.org/10.1007/bf01228388
    90 rdf:type schema:CreativeWork
    91 sg:pub.10.1007/bf01228812 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046339924
    92 https://doi.org/10.1007/bf01228812
    93 rdf:type schema:CreativeWork
    94 grid-institutes:grid.10025.36 schema:alternateName Department of Applied Mathematics and Theoretical Physics, University of Liverpool, L69 3BX, Liverpool, England
    95 schema:name Department of Applied Mathematics and Theoretical Physics, University of Liverpool, L69 3BX, Liverpool, England
    96 rdf:type schema:Organization
     




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


    ...