\relax 
\citation{McEwen24HiRISE}
\citation{Malin07CTX}
\citation{Murchie07CRISM}
\citation{Smith01MOLA}
\citation{Wang26marsretrieval}
\citation{Cai25LLM}
\citation{Lewis20RAG}
\citation{Zhou24hallucination}
\citation{Pan24KGandLLM}
\citation{Wu25MultiRAG}
\citation{Wu25MultiRAG}
\@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{1}{}\protected@file@percent }
\citation{Wu25MultiRAG}
\citation{Wang25Astute}
\citation{lien26hyperrag,luo25hyperrag}
\citation{madhu26hyprag}
\citation{liu26truthfulrag}
\citation{tang26diagnosing}
\@writefile{toc}{\contentsline {section}{\numberline {II}Preliminary}{2}{}\protected@file@percent }
\newlabel{equ:RAG Problem}{{1}{2}}
\citation{Wu25MultiRAG}
\newlabel{equ:RAG Problem s.t.}{{2}{3}}
\newlabel{equ:spatial observation hyperedge}{{3}{3}}
\newlabel{equ:hyperbolic space}{{4}{3}}
\@writefile{toc}{\contentsline {section}{\numberline {III}Methodology}{3}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {III-A}}Framework of AreoRAG}{3}{}\protected@file@percent }
\citation{luo25hyperrag}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {III-B}}Hyperbolic Spatial Hypergraph Construction}{4}{}\protected@file@percent }
\newlabel{sec:HySH}{{\mbox  {III-B}}{4}}
\newlabel{equ:multi-source spatial data}{{5}{4}}
\newlabel{equ:planetary science domain schema}{{6}{4}}
\newlabel{equ:embedding mapping}{{7}{4}}
\newlabel{equ:Spatial Scale-Curvature Correspondence}{{8}{4}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {III-C}}Spatiotemporal Retrieval with Cross-Resolution Aggregation}{4}{}\protected@file@percent }
\newlabel{sec:retrieval}{{\mbox  {III-C}}{4}}
\newlabel{equ:Spatial Intent Extraction and Hyperedge Retrieval}{{9}{4}}
\citation{Li25SubGraphRAG}
\citation{luo25hyperrag}
\citation{madhu26hyprag}
\citation{liu26truthfulrag}
\newlabel{equ:spatiotemporal encoding}{{10}{5}}
\newlabel{equ:hyperbolic spatial encoding}{{11}{5}}
\newlabel{equ:MLP scores}{{12}{5}}
\newlabel{equ:Spatial OEM}{{13}{5}}
\newlabel{equ:Spatial OEM Outward Bias}{{14}{5}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {III-D}}Physics-Informed Conflict Triage}{5}{}\protected@file@percent }
\newlabel{sec:PICT}{{\mbox  {III-D}}{5}}
\newlabel{equ:interaction entropy}{{15}{5}}
\newlabel{equ:token-averaged entropy}{{16}{5}}
\newlabel{equ:conflict detection}{{17}{5}}
\newlabel{equ:explainable conflict}{{18}{5}}
\@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces Physics-Informed Conflict Triage Categories}}{6}{}\protected@file@percent }
\newlabel{table:conflict_triage}{{I}{6}}
\newlabel{equ:conflict classification feature vector}{{19}{6}}
\newlabel{equ:conflict classification}{{20}{6}}
\newlabel{equ:conflict recalibration}{{21}{6}}
\newlabel{equ:Anti-Over-Smoothing Guarantee}{{22}{6}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {III-E}}AreoRAG Prompting}{6}{}\protected@file@percent }
\newlabel{sec:prompt}{{\mbox  {III-E}}{6}}
\@writefile{loa}{\contentsline {algorithm}{\numberline {1}{\ignorespaces AreoRAG Prompting (ARP)}}{6}{}\protected@file@percent }
\newlabel{alg:arp}{{1}{6}}
\citation{yang18hotpotqa}
\citation{ho202WikiMultiHopQA}
\citation{Wu25MultiRAG}
\@writefile{toc}{\contentsline {section}{\numberline {IV}Experiments}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-A}}Experimental Settings}{7}{}\protected@file@percent }
\citation{Lewis20RAG}
\citation{Harsh23IRCoT}
\citation{Chan24RQRAG}
\citation{Wu25MultiRAG}
\citation{luo25hyperrag}
\citation{lien26hyperrag}
\citation{liu26truthfulrag}
\citation{Zhou24MetaRAG}
\citation{Wu25MultiRAG}
\@writefile{lot}{\contentsline {table}{\numberline {II}{\ignorespaces Statistics of the Planetary Datasets}}{8}{}\protected@file@percent }
\newlabel{table:planetary_datasets}{{II}{8}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-B}}Overall Retrieval and QA Performance (Q1)}{8}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {III}{\ignorespaces Comparison with Baseline Methods on Planetary and General QA Datasets}}{9}{}\protected@file@percent }
\newlabel{table:comparison_QA}{{III}{9}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-C}}Robustness Under Spatial Sparsity and Conflict Intensity (Q2)}{9}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-D}}Ablation Study (Q3)}{9}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {IV}{\ignorespaces Ablation Experiments of HySH and PICT Modules}}{10}{}\protected@file@percent }
\newlabel{table:ablation}{{IV}{10}}
\@writefile{lot}{\contentsline {table}{\numberline {V}{\ignorespaces Conflict Handling Performance on MarsConflict-50}}{10}{}\protected@file@percent }
\newlabel{table:conflict}{{V}{10}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-E}}Conflict Preservation Evaluation (Q4)}{10}{}\protected@file@percent }
\@writefile{lot}{\contentsline {table}{\numberline {VI}{\ignorespaces Time Cost Analysis Across Modules}}{10}{}\protected@file@percent }
\newlabel{table:time_cost}{{VI}{10}}
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-F}}Efficiency Analysis (Q5)}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-G}}Case Study}{10}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {IV-H}}Limitations}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {V}Related Work}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {V-A}}Graph-Structured Retrieval Augmented Generation}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {V-B}}Hyperbolic Representation Learning for Retrieval}{11}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {V-C}}Knowledge Conflict Detection and Resolution in RAG}{12}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {\mbox  {V-D}}Intelligent Retrieval for Planetary Remote Sensing Data}{12}{}\protected@file@percent }
\bibstyle{IEEEtran}
\bibdata{IEEEabrv,references}
\bibcite{McEwen24HiRISE}{1}
\bibcite{Malin07CTX}{2}
\bibcite{Murchie07CRISM}{3}
\bibcite{Smith01MOLA}{4}
\@writefile{toc}{\contentsline {section}{\numberline {VI}Conclusion}{13}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{References}{13}{}\protected@file@percent }
\bibcite{Wang26marsretrieval}{5}
\bibcite{Cai25LLM}{6}
\bibcite{Lewis20RAG}{7}
\bibcite{Zhou24hallucination}{8}
\bibcite{Pan24KGandLLM}{9}
\bibcite{Wu25MultiRAG}{10}
\bibcite{Wang25Astute}{11}
\bibcite{lien26hyperrag}{12}
\bibcite{luo25hyperrag}{13}
\bibcite{madhu26hyprag}{14}
\bibcite{liu26truthfulrag}{15}
\bibcite{tang26diagnosing}{16}
\bibcite{Li25SubGraphRAG}{17}
\bibcite{yang18hotpotqa}{18}
\bibcite{ho202WikiMultiHopQA}{19}
\bibcite{Harsh23IRCoT}{20}
\bibcite{Chan24RQRAG}{21}
\bibcite{Zhou24MetaRAG}{22}
\gdef \@abspage@last{14}