Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W4389388394', 'doi': 'https://doi.org/10.1007/s10569-023-10173-0', 'title': 'Relative equilibria and periodic orbits in a Circular Planar (2+2)-Body Problem', 'display_name': 'Relative equilibria and periodic orbits in a Circular Planar (2+2)-Body Problem', 'publication_year': 2023, 'publication_date': '2023-12-01', 'ids': {'openalex': 'https://openalex.org/W4389388394', 'doi': 'https://doi.org/10.1007/s10569-023-10173-0'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10569-023-10173-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S153084011', 'display_name': 'Celestial Mechanics and Dynamical Astronomy', 'issn_l': '0923-2958', 'issn': ['0923-2958', '1572-9478'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5023272448', 'display_name': 'Lennard F. Bakker', 'orcid': 'https://orcid.org/0000-0002-6336-5715'}, 'institutions': [{'id': 'https://openalex.org/I100005738', 'display_name': 'Brigham Young University', 'ror': 'https://ror.org/047rhhm47', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I100005738']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Lennard F. Bakker', 'raw_affiliation_strings': ['Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA', 'institution_ids': ['https://openalex.org/I100005738']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5043098947', 'display_name': 'Nicholas J. Freeman', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I100005738', 'display_name': 'Brigham Young University', 'ror': 'https://ror.org/047rhhm47', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I100005738']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Nicholas J. Freeman', 'raw_affiliation_strings': ['Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA', 'institution_ids': ['https://openalex.org/I100005738']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2190, 'currency': 'EUR', 'value_usd': 2790, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.37, 'has_fulltext': False, 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.615081, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 71, 'max': 82}, 'biblio': {'volume': '135', 'issue': '6', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10325', 'display_name': 'Formation and Evolution of the Solar System', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10325', 'display_name': 'Formation and Evolution of the Solar System', 'score': 0.9989, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11082', 'display_name': 'Optimization of Spacecraft Trajectories and Formations', 'score': 0.9981, 'subfield': {'id': 'https://openalex.org/subfields/2202', 'display_name': 'Aerospace Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10039', 'display_name': 'Stellar Astrophysics and Exoplanet Studies', 'score': 0.9867, 'subfield': {'id': 'https://openalex.org/subfields/3103', 'display_name': 'Astronomy and Astrophysics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/circular-orbit', 'display_name': 'Circular orbit', 'score': 0.6370833}, {'id': 'https://openalex.org/keywords/relative-motion', 'display_name': 'Relative Motion', 'score': 0.495674}, {'id': 'https://openalex.org/keywords/celestial-mechanics', 'display_name': 'Celestial mechanics', 'score': 0.47969338}, {'id': 'https://openalex.org/keywords/gravitational-potential', 'display_name': 'Gravitational potential', 'score': 0.45490277}], 'concepts': [{'id': 'https://openalex.org/C134786449', 'wikidata': 'https://www.wikidata.org/wiki/Q3391255', 'display_name': 'Planar', 'level': 2, 'score': 0.79916716}, {'id': 'https://openalex.org/C34725247', 'wikidata': 'https://www.wikidata.org/wiki/Q607699', 'display_name': 'Three-body problem', 'level': 2, 'score': 0.77714777}, {'id': 'https://openalex.org/C58142911', 'wikidata': 'https://www.wikidata.org/wiki/Q3863', 'display_name': 'Asteroid', 'level': 2, 'score': 0.6937573}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.6418296}, {'id': 'https://openalex.org/C59108619', 'wikidata': 'https://www.wikidata.org/wiki/Q2261398', 'display_name': 'Circular orbit', 'level': 2, 'score': 0.6370833}, {'id': 'https://openalex.org/C124017977', 'wikidata': 'https://www.wikidata.org/wiki/Q11412', 'display_name': 'Gravitation', 'level': 2, 'score': 0.54172516}, {'id': 'https://openalex.org/C74650414', 'wikidata': 'https://www.wikidata.org/wiki/Q11397', 'display_name': 'Classical mechanics', 'level': 1, 'score': 0.53541064}, {'id': 'https://openalex.org/C36185635', 'wikidata': 'https://www.wikidata.org/wiki/Q17006925', 'display_name': 'Center of mass (relativistic)', 'level': 3, 'score': 0.49359095}, {'id': 'https://openalex.org/C27638517', 'wikidata': 'https://www.wikidata.org/wiki/Q184274', 'display_name': 'Celestial mechanics', 'level': 2, 'score': 0.47969338}, {'id': 'https://openalex.org/C2777299769', 'wikidata': 'https://www.wikidata.org/wiki/Q3707858', 'display_name': 'Type (biology)', 'level': 2, 'score': 0.46366268}, {'id': 'https://openalex.org/C127090403', 'wikidata': 'https://www.wikidata.org/wiki/Q1544012', 'display_name': 'Gravitational potential', 'level': 3, 'score': 0.45490277}, {'id': 'https://openalex.org/C2776799497', 'wikidata': 'https://www.wikidata.org/wiki/Q484298', 'display_name': 'Surface (topology)', 'level': 2, 'score': 0.41639125}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.41316056}, {'id': 'https://openalex.org/C44870925', 'wikidata': 'https://www.wikidata.org/wiki/Q37547', 'display_name': 'Astrophysics', 'level': 1, 'score': 0.37609935}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.318219}, {'id': 'https://openalex.org/C1276947', 'wikidata': 'https://www.wikidata.org/wiki/Q333', 'display_name': 'Astronomy', 'level': 1, 'score': 0.12639573}, {'id': 'https://openalex.org/C18903297', 'wikidata': 'https://www.wikidata.org/wiki/Q7150', 'display_name': 'Ecology', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C121684516', 'wikidata': 'https://www.wikidata.org/wiki/Q7600677', 'display_name': 'Computer graphics (images)', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C47513753', 'wikidata': 'https://www.wikidata.org/wiki/Q3502299', 'display_name': 'Energy–momentum relation', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/s10569-023-10173-0', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S153084011', 'display_name': 'Celestial Mechanics and Dynamical Astronomy', 'issn_l': '0923-2958', 'issn': ['0923-2958', '1572-9478'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1674576174', 'https://openalex.org/W2041889041', 'https://openalex.org/W2051109533', 'https://openalex.org/W2061564692', 'https://openalex.org/W2096828612', 'https://openalex.org/W2122909753', 'https://openalex.org/W2124529968', 'https://openalex.org/W2188372509', 'https://openalex.org/W2385402266', 'https://openalex.org/W3215164054'], 'related_works': ['https://openalex.org/W833214278', 'https://openalex.org/W618721910', 'https://openalex.org/W4281665608', 'https://openalex.org/W4224939712', 'https://openalex.org/W3120508456', 'https://openalex.org/W3101169391', 'https://openalex.org/W2518578555', 'https://openalex.org/W2100948973', 'https://openalex.org/W2013406026', 'https://openalex.org/W2009049887'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W4389388394', 'counts_by_year': [{'year': 2024, 'cited_by_count': 1}], 'updated_date': '2024-09-19T11:31:05.852776', 'created_date': '2023-12-07'}