{"paper":{"title":"Exact gravity field for polyhedrons with polynomial density contrasts of arbitrary orders","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.geo-ph","authors_text":"Chaojian Chen, Hansruedi Maurer, Huang Chen, Jingtian Tang, Thomas Kalscheuer, Xiangyun Hu, Yiyuan Zhong, Zhengyong Ren","submitted_at":"2018-10-28T06:53:45Z","abstract_excerpt":"Computing gravity field of a mass body is a core routine to image anomalous density structures in the Earth. In this study, we report the existence of analytical routines to accurately compute the gravity potential and gravity field of a general polyhedral mass body. The density contrasts in the polyhedral body can be general polynomial functions up to arbitrary non-negative orders and also can vary in both horizontal and vertical directions. The newly derived analytical expressions of gravity fields are also singularity-free which means that observation sites can have arbitrary geometric rela"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.11768","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}