Contributions of Tidal Poisson Terms in the Theory of the Nutation of a Nonrigid Earth View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2008

AUTHORS

V Dehant , M Folgueira , N Rambaux , S.B Lambert

ABSTRACT

The tidal potential generated by bodies in the solar system contains Poisson terms, i.e., periodic terms with linearly time-dependent amplitudes. The influence of these terms in the Earth’s rotation, although expected to be small, could be of interest in the present context of high accuracy modelling. We have studied their contribution in the rotation of a non rigid Earth with elastic mantle and liquid core. Starting from the Liouville equations, we computed analytically the contribution in the wobble and showed that the presently-used transfer function must be supplemented by additional terms to be used in convolution with the amplitude of the Poisson terms of the potential and inversely proportional to (σ - σ_n)^2 where σ is the forcing frequency and σ_n are the eigenfrequencies associated with the retrograde free core nutation and the Chandler wobble. These results have been detailed in a paper that we published in Astron. Astrophys. in 2007. In the present paper, we further examine the contribution from the core on the wobble and the nutation. In particular, we examine the contribution on extreme cases such as for wobble frequencies near the Free Core Nutation Frequency (FCN) or for long period nutations. In addition to the analytical computation, we used a time-domain approach through a numerical model to examine the core and mantle motions and discuss the analytical results More... »

PAGES

455-462

References to SciGraph publications

Book

TITLE

Observing our Changing Earth

ISBN

978-3-540-85425-8
978-3-540-85426-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-540-85426-5_55

DOI

http://dx.doi.org/10.1007/978-3-540-85426-5_55

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1044953771


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": {
          "alternateName": "Royal Observatory of Belgium", 
          "id": "https://www.grid.ac/institutes/grid.425636.0", 
          "name": [
            "Royal Observatory of Belgium, 1180 Brussels, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Dehant", 
        "givenName": "V", 
        "id": "sg:person.010144462435.82", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010144462435.82"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Complutense University of Madrid", 
          "id": "https://www.grid.ac/institutes/grid.4795.f", 
          "name": [
            "Instituto de Astronom\u00eda y Geodesia (UCM-CSIC) Facultad de Ciencias Matem\u00e1ticas, Universidad Complutense de Madrid, Ciudad Universitaria, 28040 Madrid, Spain"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Folgueira", 
        "givenName": "M", 
        "id": "sg:person.011232270447.15", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011232270447.15"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Royal Observatory of Belgium", 
          "id": "https://www.grid.ac/institutes/grid.425636.0", 
          "name": [
            "Royal Observatory of Belgium, 1180 Brussels, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rambaux", 
        "givenName": "N", 
        "id": "sg:person.014525312356.74", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014525312356.74"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Royal Observatory of Belgium", 
          "id": "https://www.grid.ac/institutes/grid.425636.0", 
          "name": [
            "Royal Observatory of Belgium, 1180 Brussels, Belgium"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lambert", 
        "givenName": "S.B", 
        "id": "sg:person.013426273773.59", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013426273773.59"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1029/2002jb001763", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007260391"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0031-9201(93)90018-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009151021"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0031-9201(93)90018-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009151021"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1029/2001jb000390", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010696619"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s1296-2147(00)01074-x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1010747385"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1086/422738", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031577723"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1111/j.1365-246x.1981.tb02691.x", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034278663"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0031-9201(87)90023-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035940243"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0031-9201(87)90023-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035940243"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1008310918697", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1040468785", 
          "https://doi.org/10.1023/a:1008310918697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0031-9201(01)00205-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041027285"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1008350710849", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041139170", 
          "https://doi.org/10.1023/a:1008350710849"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.icarus.2007.07.015", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042725118"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1051/0004-6361:20053974", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056935946"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1051/0004-6361:20066822", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1056938213"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2008", 
    "datePublishedReg": "2008-01-01", 
    "description": "The tidal potential generated by bodies in the solar system contains Poisson terms, i.e., periodic terms with linearly time-dependent amplitudes. The influence of these terms in the Earth\u2019s rotation, although expected to be small, could be of interest in the present context of high accuracy modelling. We have studied their contribution in the rotation of a non rigid Earth with elastic mantle and liquid core. Starting from the Liouville equations, we computed analytically the contribution in the wobble and showed that the presently-used transfer function must be supplemented by additional terms to be used in convolution with the amplitude of the Poisson terms of the potential and inversely proportional to (\u03c3 - \u03c3_n)^2 where \u03c3 is the forcing frequency and \u03c3_n are the eigenfrequencies associated with the retrograde free core nutation and the Chandler wobble. These results have been detailed in a paper that we published in Astron. Astrophys. in 2007. In the present paper, we further examine the contribution from the core on the wobble and the nutation. In particular, we examine the contribution on extreme cases such as for wobble frequencies near the Free Core Nutation Frequency (FCN) or for long period nutations. In addition to the analytical computation, we used a time-domain approach through a numerical model to examine the core and mantle motions and discuss the analytical results", 
    "editor": [
      {
        "familyName": "Sideris", 
        "givenName": "Michael G", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-540-85426-5_55", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": {
      "isbn": [
        "978-3-540-85425-8", 
        "978-3-540-85426-5"
      ], 
      "name": "Observing our Changing Earth", 
      "type": "Book"
    }, 
    "name": "Contributions of Tidal Poisson Terms in the Theory of the Nutation of a Nonrigid Earth", 
    "pagination": "455-462", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-540-85426-5_55"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "d6213ae4d577f6d2334742b7cb8ba536e3b248d77731fe175d61efaaeeb451a3"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1044953771"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-540-85426-5_55", 
      "https://app.dimensions.ai/details/publication/pub.1044953771"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-16T01:22", 
    "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_8700_00000560.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-540-85426-5_55"
  }
]
 

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.10.1007/978-3-540-85426-5_55'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-85426-5_55'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-85426-5_55'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-540-85426-5_55'


 

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

130 TRIPLES      23 PREDICATES      40 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-540-85426-5_55 schema:about anzsrc-for:04
2 anzsrc-for:0403
3 schema:author N9b866d0972184458a7241ee194c16bdf
4 schema:citation sg:pub.10.1023/a:1008310918697
5 sg:pub.10.1023/a:1008350710849
6 https://doi.org/10.1016/0031-9201(87)90023-9
7 https://doi.org/10.1016/0031-9201(93)90018-5
8 https://doi.org/10.1016/j.icarus.2007.07.015
9 https://doi.org/10.1016/s0031-9201(01)00205-9
10 https://doi.org/10.1016/s1296-2147(00)01074-x
11 https://doi.org/10.1029/2001jb000390
12 https://doi.org/10.1029/2002jb001763
13 https://doi.org/10.1051/0004-6361:20053974
14 https://doi.org/10.1051/0004-6361:20066822
15 https://doi.org/10.1086/422738
16 https://doi.org/10.1111/j.1365-246x.1981.tb02691.x
17 schema:datePublished 2008
18 schema:datePublishedReg 2008-01-01
19 schema:description The tidal potential generated by bodies in the solar system contains Poisson terms, i.e., periodic terms with linearly time-dependent amplitudes. The influence of these terms in the Earth’s rotation, although expected to be small, could be of interest in the present context of high accuracy modelling. We have studied their contribution in the rotation of a non rigid Earth with elastic mantle and liquid core. Starting from the Liouville equations, we computed analytically the contribution in the wobble and showed that the presently-used transfer function must be supplemented by additional terms to be used in convolution with the amplitude of the Poisson terms of the potential and inversely proportional to (σ - σ_n)^2 where σ is the forcing frequency and σ_n are the eigenfrequencies associated with the retrograde free core nutation and the Chandler wobble. These results have been detailed in a paper that we published in Astron. Astrophys. in 2007. In the present paper, we further examine the contribution from the core on the wobble and the nutation. In particular, we examine the contribution on extreme cases such as for wobble frequencies near the Free Core Nutation Frequency (FCN) or for long period nutations. In addition to the analytical computation, we used a time-domain approach through a numerical model to examine the core and mantle motions and discuss the analytical results
20 schema:editor Na6602126d1e849cda8a6bb349b9c823a
21 schema:genre chapter
22 schema:inLanguage en
23 schema:isAccessibleForFree true
24 schema:isPartOf Nad43ca3d8c1245dc871ce030d2d5a19b
25 schema:name Contributions of Tidal Poisson Terms in the Theory of the Nutation of a Nonrigid Earth
26 schema:pagination 455-462
27 schema:productId N2fd2189d5e2d4cc8ac108e8a4cc37331
28 N34eca391d50c4188bf0a609bedb7735e
29 Nec69f8dcf67b4b63812f807440e4c1da
30 schema:publisher Nca26686417e94999ad9c7fa7e731324c
31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044953771
32 https://doi.org/10.1007/978-3-540-85426-5_55
33 schema:sdDatePublished 2019-04-16T01:22
34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
35 schema:sdPublisher Nd047279f83004f59adab588261755ea3
36 schema:url http://link.springer.com/10.1007/978-3-540-85426-5_55
37 sgo:license sg:explorer/license/
38 sgo:sdDataset chapters
39 rdf:type schema:Chapter
40 N2a1bb9e74c65481a97f8b9f183ed2ff6 rdf:first sg:person.011232270447.15
41 rdf:rest Nd39b12e91f504a50845f5c51eff9c1aa
42 N2fd2189d5e2d4cc8ac108e8a4cc37331 schema:name dimensions_id
43 schema:value pub.1044953771
44 rdf:type schema:PropertyValue
45 N34eca391d50c4188bf0a609bedb7735e schema:name readcube_id
46 schema:value d6213ae4d577f6d2334742b7cb8ba536e3b248d77731fe175d61efaaeeb451a3
47 rdf:type schema:PropertyValue
48 N7d948f636eaa4cd8841120dc36ad3f26 rdf:first sg:person.013426273773.59
49 rdf:rest rdf:nil
50 N804638a2dfe04546b40c9543396d7edd schema:familyName Sideris
51 schema:givenName Michael G
52 rdf:type schema:Person
53 N9b866d0972184458a7241ee194c16bdf rdf:first sg:person.010144462435.82
54 rdf:rest N2a1bb9e74c65481a97f8b9f183ed2ff6
55 Na6602126d1e849cda8a6bb349b9c823a rdf:first N804638a2dfe04546b40c9543396d7edd
56 rdf:rest rdf:nil
57 Nad43ca3d8c1245dc871ce030d2d5a19b schema:isbn 978-3-540-85425-8
58 978-3-540-85426-5
59 schema:name Observing our Changing Earth
60 rdf:type schema:Book
61 Nca26686417e94999ad9c7fa7e731324c schema:location Berlin, Heidelberg
62 schema:name Springer Berlin Heidelberg
63 rdf:type schema:Organisation
64 Nd047279f83004f59adab588261755ea3 schema:name Springer Nature - SN SciGraph project
65 rdf:type schema:Organization
66 Nd39b12e91f504a50845f5c51eff9c1aa rdf:first sg:person.014525312356.74
67 rdf:rest N7d948f636eaa4cd8841120dc36ad3f26
68 Nec69f8dcf67b4b63812f807440e4c1da schema:name doi
69 schema:value 10.1007/978-3-540-85426-5_55
70 rdf:type schema:PropertyValue
71 anzsrc-for:04 schema:inDefinedTermSet anzsrc-for:
72 schema:name Earth Sciences
73 rdf:type schema:DefinedTerm
74 anzsrc-for:0403 schema:inDefinedTermSet anzsrc-for:
75 schema:name Geology
76 rdf:type schema:DefinedTerm
77 sg:person.010144462435.82 schema:affiliation https://www.grid.ac/institutes/grid.425636.0
78 schema:familyName Dehant
79 schema:givenName V
80 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010144462435.82
81 rdf:type schema:Person
82 sg:person.011232270447.15 schema:affiliation https://www.grid.ac/institutes/grid.4795.f
83 schema:familyName Folgueira
84 schema:givenName M
85 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011232270447.15
86 rdf:type schema:Person
87 sg:person.013426273773.59 schema:affiliation https://www.grid.ac/institutes/grid.425636.0
88 schema:familyName Lambert
89 schema:givenName S.B
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013426273773.59
91 rdf:type schema:Person
92 sg:person.014525312356.74 schema:affiliation https://www.grid.ac/institutes/grid.425636.0
93 schema:familyName Rambaux
94 schema:givenName N
95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014525312356.74
96 rdf:type schema:Person
97 sg:pub.10.1023/a:1008310918697 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040468785
98 https://doi.org/10.1023/a:1008310918697
99 rdf:type schema:CreativeWork
100 sg:pub.10.1023/a:1008350710849 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041139170
101 https://doi.org/10.1023/a:1008350710849
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0031-9201(87)90023-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035940243
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1016/0031-9201(93)90018-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009151021
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1016/j.icarus.2007.07.015 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042725118
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1016/s0031-9201(01)00205-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041027285
110 rdf:type schema:CreativeWork
111 https://doi.org/10.1016/s1296-2147(00)01074-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1010747385
112 rdf:type schema:CreativeWork
113 https://doi.org/10.1029/2001jb000390 schema:sameAs https://app.dimensions.ai/details/publication/pub.1010696619
114 rdf:type schema:CreativeWork
115 https://doi.org/10.1029/2002jb001763 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007260391
116 rdf:type schema:CreativeWork
117 https://doi.org/10.1051/0004-6361:20053974 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056935946
118 rdf:type schema:CreativeWork
119 https://doi.org/10.1051/0004-6361:20066822 schema:sameAs https://app.dimensions.ai/details/publication/pub.1056938213
120 rdf:type schema:CreativeWork
121 https://doi.org/10.1086/422738 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031577723
122 rdf:type schema:CreativeWork
123 https://doi.org/10.1111/j.1365-246x.1981.tb02691.x schema:sameAs https://app.dimensions.ai/details/publication/pub.1034278663
124 rdf:type schema:CreativeWork
125 https://www.grid.ac/institutes/grid.425636.0 schema:alternateName Royal Observatory of Belgium
126 schema:name Royal Observatory of Belgium, 1180 Brussels, Belgium
127 rdf:type schema:Organization
128 https://www.grid.ac/institutes/grid.4795.f schema:alternateName Complutense University of Madrid
129 schema:name Instituto de Astronomía y Geodesia (UCM-CSIC) Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Ciudad Universitaria, 28040 Madrid, Spain
130 rdf:type schema:Organization
 




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


...